THE UNIVERSITY OF MI CHIGAN COLLEGE OF ENGINEERING Department of Naval Architecture and Marine Engineering Ship Hydrodynamics Laboratory Final Report HULL FORM DEVELOPMENT AND RESISTANCE AND PROPULSION TEST RESULTS OF A SERIES OF SHIP HULLS HAVING EXTREME "V" SECTIONS (Variations in Geometrical Transverse Inertia) James L. Moss Hun Chol Kim Project Director: R. B. Couch ORA Project 04652 under contract with: U. S. DEPARTMENT OF COMMERCE MARITIME ADMINISTRATION CONTRACT NO. MA-2564, TASK II WASHINGTON, D.C. administered through: OFFICE OF RESEARCH ADMINISTRATION ANN ARBOR July 1963

TABLE OF CONTENTS Page LIST OF TABLES v LIST OF FIGURES vii INTRODUCTION 1 LINES DEVELOPMENT 3 TEST RESULTS 8 REFERENCES 11 iii

LIST OF TABLES Table I Propeller Data for 600-Foot (LBP) Ship II Ship Model Particulars A-I Curves of Form for the Series 60, CB =.60 A-II Curves of Form for the Series 60, CB =.65 A-III Curves of Form for the Series 60, CB =.70 A-IV Curves of Form for the Series 60, CB =.75 A-V Curves of Form for the Series 60, CB =.80 A-VI Curves of Form for the U of M "V" Series, CB = 060 A-VII Curves of Form for the U of M "V"' Series, CB =.65 A-VIII Curves of Form for the U of M "V"' Series, CB =.70 A-IX Curves of Form for the U of M "'V" Series, CB =.75 A-X Curves of Form for the U of M "V" Series, CB =.80 A-XI Nondimensional Offsets for the U of M "V" Series, CB =.60 A-XII Nondimensional Offsets for the U of M "V" Series, CB =.65 A-XIII Nondimensional Offsets for the U of M "V" Series, Cg =.70 A-XIV Nondimensional Offsets for the U of M "V" Series, CB =.75 A-XV Nondimensional Offsets for the U of M "V" Series, CB =.80 v

LIST OF FIGURES Figure 1. Original extreme "V" and extreme "U" proposals, CB =.60. 2. Original extreme "V" and extreme "U" proposals, CB =.75. 3. Composite body plan of CB =.60 Series 60 parent, U of M "Vi' Series, and intermediate "V"' Series. 4. Composite body plan of CB =.65 Series 60 parent and U of M "V" Series. 5. Composite body plan of CB =.70 Series 60 parent and U of M "V" Series. 6. Composite body plan of CB =.75 Series 60 parent and U of M "V" Series. 7. Composite body plan of CB =.80 Series 60 parent and U of M "V" Series. 8. Orthogonal plot of nondimensional load waterlines for Series 60 and the U of M "V" Series. 9. Half-angle of entrance at the load waterline for various hull form series. 10. Orthogonal plot of transverse moment of inertia coefficients at the load waterline for Series 60 and the U of M "V" Series. 11. Orthogonal plot of wetted surface coefficients at the load waterline for Series 60 and the U of M "V't Series. 12. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.60 U of M "V" Series and the DTMB Series 60. 13. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB =.60 U of M 'V" Series and the DTMB Series 60. 14. Effective horsepower,shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.65 U of M 'V" Series and the DTMB Series 60. 15. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the Cg =.65 U of M "V" Series and the DTMB Series 60. vii

LIST OF FIGURES (Continued) Figure 16. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.70 U of M "V" Series and the DTMB Series 60, 17. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB = 70 U of M "V" Series and the DTME Series 60o 18. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.75 U of M "V" Series and the DTMEB Series 60. 19. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB=.75 U of M "V" Series and the DTMB Series 60. 20. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.80 U of M "VT Series and the DTMB Series 60. 21. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB =.80 U of M 1"V" Series and the DTMB Series 60. 22. Propeller efficiency versus speed in knots for the U of M 'V'T Series and the DTMB Series 60. 23. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.60 models. 24. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.65 models. 25. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.70 models. 26. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.75 models, 27. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.80 models. A-1. Orthogonal plot of nondimensional baseline tangent waterlines for Series 60 and the U of M "'V" Series, viii

LIST OF FIGURES (Concluded) Figure A-2. Orthogonal plot of nondimensional 0.25 waterlines for Series 60 and the U of M "V" Series. A-3. Orthogonal plot of nondimensional 0.50 waterlines for Series 60 and the U of M "V" Series. A-4 Orthogonal plot of nondimensional 0.75 waterlines for Series 60 and the U of M "V" Series. A-5 Orthogonal plot of nondimensional load waterlines for Series 60 and the U of M "V" Series. ix

INTRODUCTI ON Under contract with the Society of Naval Architects and Marine Engineers and the Maritime Administration, the Ship Hydrodynamics Laboratory of the Department of Naval Architecture and Marine Engineering of The University of Michigan has developed the lines of a series of systematic hull forms using Series 60 as a parent series. The transverse sections of the new series are of a pronounced "V" shape as opposed to the "U" shape of the parents. Models were built and tested for both EHP and SHP. The results of the tests as well as the geometric properties of the forms are reported herein. Under the same contracts, but previously reported, (1,2) The University of Michigan built and tested three of the parent Series 60 hulls with apparent good success. A fourth model, that of the Maritime Administration's high speed cargo liner, PD-108, was also built and tested but with notable discrepancies in results as compared with those obtained on a larger model at David Taylor Model Basin. At the outset careful consideration was given to the selection of model size. It was thought that in order to avoid appreciable propeller scale effect that model propeller diameters should be six inches or greater. Because of the physical size of the towing tank presently available, ship models of greater than 14 feet LBP were not feasible if the blockage effect was to be small. Therefore, all of the above mentioned models were built 14 feet LBP long and the 1

resulting model propeller diameters were between six and seven inches. Further analysis of previous results along with analysis of the results reported herein shows evidence of scale effects(3). As part of the long-range research program of the Maritime Administration The University of Michigan will test a 17 foot LBP model of the CB =.60 Series 60 parent as well as the "V" form. The results, which will include a blockage correction, will be analyzed for scale effects by comparison with results of tests of the two 14 foot models and the 20 foot model, the latter tested at DTMB. Until the scale effect study is complete, the results in this report should not be considered final. 2

LINES DEVELOPMENT The purpose of the current investigation has been set by the Society of Naval Architects and Marine Engineers, H-2 Panel, Task Group VII, as the exploration of the effects of "U" and "V" forms on resistance, propulsion, and stability within and beyond the limits of design currently in practice in the United States. The sectional area curves of the Series 60 parent forms were to be retained (4), and also the parent profiles within practical limits. The criteria were chosen after consideration of the two principal factors in the following. (5) 1. Desirability of reducing the number of variables so as to accentuate the effect of variation in shape of transverse sections, and 2. The paucity of good hull form data in the extreme "V" range. Inasmuch as the hull forms to be tested fell beyond the category of normal design, the usual method of developing lines from a known ship of good performance could not be adopted, and the development of lines of the "V" forms was carried to the practical extremity of fairing lines drawings. The first proposal by the Maritime Administration included extreme "V", moderate "V" or "U" lines for each of the two hull forms initially chosen for the investigation, i. e., hulls of CB =.60 and.75. Figs. 1 and 2 show the extreme "U" and "V" sections as originally advanced for the above. However, upon further discussion, it was decided to exclude the extreme "U" lines from the present investigation as the parent series is 3

already quite "U" in section shape. Thus for the CB.= 60 and.75 hulls, extreme "V" and moderate "V" lines were developed the body plans of which are shown in Figso 3 and 6. In developing extreme "V" lines for the remaining hulls, mathematical means were discarded and the following geometric method was adopted. Fig. 8 shows a nondimensional plot of load waterlines of all Series 60 parents and two extreme "V" models and is typical of many such curves prepared for the cross-fairing. By connecting offsets at various stations, a surface representing the waterlines of the parent model is generated. This is a three-dimensional surface and it is faired. A similar surface representing the waterlines of the extreme "V" forms follows the parent surface but should include the two hulls already developed and the surface must likewise be a faired one. The second surface is sketched in and offsets are read off. Lines drawings for the other block models are drawn up using the offset obtained above. If the obtained offsets are unsatisfactory for fairing lines, the surface is modified and the procedure is repeated. All such surfaces actually used in the development are included in the Appendix in Figs. A-1 through A-50 It is to be noted that these plots can be used to obtain nondimensional offsets for a hull of any block coefficient. Nondimensional offsets are given in the Appendix in Tables A-XI through A-XVT Figs. 4, 5, and 7 show the body plans of the remaining hull forms as developed by the method Just explained. The sectional area curves of the original series have been well 4

preserved, although at the stem and stern a small portion of the lines had to be faired irrespective of the sectional area curve. The resulting discrepancy is very small and need not be of concern from a practical standpoint. In developing the stern lines the extent of the "V" shape near the load waterline was not made as pronounced as originally proposed. Although the load waterlines may still be considered as conforming to the general extreme "V" class of "V" hull shape, reduction of the half-breadths made possible development of moderately deep "U" shaped sections immediately forward of the propeller aperture, a design consideration which is desirable in that a more uniform wake field and less vibration may result. Moderate "V" forms diminished, i. e,, with load waterlines about midway between those of the series developed and the parent series, and as developed for the CB =.60 and.75 modelsin Figs. 3 and 6, have not been included in the present testing program. An effort has been made to retain the waterline length of the parents. Occasionally, however, a slight change in the profile is introduced in fairing, but. since it is small, changes in waterline length may be assumed nonexistent. Above the load waterlines each hull was developed so as to form a deck with nearly the same area as that of the corresponding parent because the deck area of either a "U" or "V" form depends largely upon the intended service which is not known. Therefore, it seemed best to conform to the parent deck areas. Had a knuckle been introduced immediately above the load waterline, even more extreme "V" 5

sections could have been developed. Adoption of such a procedure would have resulted in a higher vertical prismatic coefficient. Most foreign ships of "'V" form have a rather pronounced cutaway at the forefoot, sometimes extending as far aft as Station 2 (1/10 LBP). Modern American practice is to have a plumb bow for deep "Uf" formso The parent models have an arbitrary bow profile which is the same for all Series 60 hulls. The effect of cutting away the forefoot is not well understood, although it is easy to understand that partial removal of the forefoot might improve maneuverability and course stability. Changes in resistance were expected to be small (6) The CB = 60 and.75 models were tested for resistance with both the parent profile and the forefoot cut away. The results confirmed that changes in resistance were negligible so that, consequently, the remaining lines were developed retaining the parent profiles. To follow the trend of half angle of entrance of the parent would have made the angle of entrance for the extreme "V" series quite excessive on the large block models, Fig. 9 shows the half angles of entrance at the load waterlines for various well known series. After some discussion the H-2 panel adopted the angles as indicated in the same figure for the present series. It should be noted that the parent series is increasingly 'V" shaped for fuller forms. Hence, the trend of the curve of half angle of entrance versus block coefficient, Fig. 9, of the present series is quite natural if one compares with the bther hull form series. 6

Curves of form for Series 60 parent and the U of M "V" series are included in the Appendix, Tables A-I through A-X. In general, these calculations check closely to those of DTMB. The main discrepancy was in vertical prismatic coefficient and is indicated in Fig, 10. Also, a small difference in block coefficient of the CB =.65 hull was noted. BonJean's curves are tabulated at the end of each curves of form. Fig. 10 has been constructed from the curves of form to show the variations in transverse waterplane inertia. The three dimensional surface indicates a smooth variation in vertical prismatic and the transverse waterplane inertia. Similar curves for other variables may be plotted as Fig. 11 shows the wetted surface variations which, due to change in hull form, are not appreciable. 7

TEST RESULTS Table I lists the geometric properties of the UM propeller models and compares them with those of the parent propeller models. There were slight discrepancies in pitch owing to model construction inaccuracies which would affect full scale RPM predictions and also the open water characteristics. Table II lists the particulars of the ship models, The results of the resistance and self-propulsion tests are given in Figs, 12 through 21 for a 600 foot LBP ( ~ = 42~857) ship. Open water propeller characteristics are given in Figs. 23 through 27. In addition, propeller efficiency versus ship speed is plotted in Fig. 22. In all the above mentioned figures results obtained at DTMB from the parent Series 60 and propeller models are also plotted. In general, predicted EHP was higher for the "V" forms than for the parents throughout the speed range except that at high speeds the CB =.60,.65, and.80 "V" forms had decreased resistance over that of the parents. The increases were the greatest for the hulls of medium fullness, being less for the finest and fullest block models. The differences in EHP are reflected in SHP, but additionally the shaft horsepower increased owing to decreased propeller efficiency or decreased hull efficiency which gave a lower value 8

of overall propulsion efficiency. Again, the greatest difference occurred for the CB =.70 form. Since the largest differences between the parent and "V" hull form were observed for the CB =.70 hull, those results warrant detailed discussion, Similar analyses could be made for the other block models. At 18 knots, or a speed-length ratio of about.75, the effective horsepower increased by 13 percent and the shaft horsepower by 45 percent whereby the propulsive coefficient decreased from.76 to.60, or 21 percent. See Fig. 16. In Fig. 22 the propeller efficiency dropped from 67 to 61 percent, or a decrease of 9 percent. Therefore, had the propeller used been as efficient behind the "V" form model as it was behind the parent, the P. C. would have decreased about 12 percent instead of 21, That is, the parent propeller design was not as nearly optimum in combination with the "V" hull, or had another propeller been designed from wake survey information, or otherwise, lower shaft horsepower results would have been obtained. In addition, referring to Fig. 25, the U of M Propeller No. 10 had slightly lower efficiency than the parent DTMB Propeller No. 3376 in the operating range of advance coefficient so that not quite all of the decrease in propeller efficiency shown in Fig. 22 is the result of having less than an optimum propeller design for the "V" hull. There remains approximately 11 percent in propulsive coefficient as yet unaccounted for. Fig, 17 shows an abnormally high thrust deduction which, when combined with an only slightly higher wake fraction than that obtained on the parent model, yields a substantially lower hull efficiency. However, it should be noted that the 9

relative rotative efficiency at a speed corresponding to 18 knots was 1.01 which indicates that serious propeller scale effects in the self-propulsion test were lacking, and therefore, should not be considered as a possible cause of the large differences Just discussed. The differences in SHP and other propulsion components between the "U" form and the "V" form for the finer hulls seems excessive and it is believed reflects some scale effects not understood, This being the case this report is not considered to be a final statement of accurate results for at least the finer hulls, Further investigation of this problem is being made and will be reported at a later date under a different task numberO 10

REFERENCES 1. F. C. Michelsen, R. B. Couch, H. C. Kim, "Resistance and Propulsion Tests on Two Series 60 Models", The University of Michigan, Department of Naval Architecture and Marine Engineering, Report 03509-1-F, April 1961. 2. F. C. Michelsen, R. B. Couch, H. C. Kim, "Resistance and Propulsion Test Results on Two Models: 1. Series 60, CB =.80, 2. High Speed Cargo Ship PD 108-S5-0". The University of Michigan, Department of Naval Architecture and Marine Engineering, Report 04652-1-F, March 1962. 3. H. C. Kim, J. L. Moss, "Research in Resistance and PropulsionPart III. Blockage Correction in a Ship Model Towing Tank and Scale Effect on Propulsive Parameters", The University of Michigan, Department of Naval Architecture and Marine Engineering, Report 04542-3-F, March 1963. 4. F. H. Todd, "Some Further Experiments of Single Screw Merchant Ship Forms —Series 60". TSNAME, vol. 61, 1953. 5. Minutes of Task Group VII, Panel 2, Hydrodynamics Committee, SNAME, January 12, 1960. 6. See, for instance, Edstrand, Freimanis, and Lindgren, Experiments with Tanker Models, I, Goteborg, Sweden, 1953, Report No. 23, Fig. 9. 11

TABLE I PROPELLER DATA FOR 600-FOOT (LBP) SHIP CB.60.65.70.75.80 UM TMB UN TMB UN TMB UN TMB UN TMB Number 1 3378 11 3380 10 3376 2 3379 4 3377 D(ft) 22.40 22.40 23.20 23.20 24.00 24.00 24.89 24.89 25.82 25.82 P(ft) 25.70 24.08 25.54 25.52 26.45 26.40 25.89 25.51 24.92 23.75 P/D 1.147 1.075 1.101 1.100 1.102 1.100 1.040 1.025 0.965 0.920 MWR 0.261 0.261 0.235 0.235 0.237 0.237 0.225 0.225 0.213 0.213 EA/DA 0.550 0.550 0.525 0.525 0.500 0.500 0.470 0.475 0.450 0.450 BTF 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 Rake(deg) 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 No. of 4 4 4 4 4 4 4 4 4 4 Blades

TABLE II SHIP MODEL PARTICULARS MODEL NO. 924 959 958 952 966 Ship CB.60.65.70.75.80 LBP (ft) 600 600 600 600 600 LWL(ft) 610.048 610.048 610.048 610.048 610.048 B(ft) 40.0 41.379 42.859 44.446 46.155 H(ft) 31.996 33.104 34.290 35.551 36.931 &(tons) 26,331 30,433 35,275 40,658 46,711 WS(sq ft) 62,166 66,449 71,799 77,317 84,313 Mode 1 A;=42.857 LBP(ft) 14.000 14.000 14.000 14.000 14.000 LWL(ft) 14.235 14.235 14.235 14.235 14. 235 B(in) 22.399 23. 171 23.999 24.89 25.848 H(in) 8.959 9.269 9.601 9.954 10.344 V(cu ft) 11.708 13.532 15.684 18.078 20.769 WS(sq ft) 33.846 36.178 39.091 42.095 45.904 A (sq ft) 1.361 1.465 1.578 1.533 1.857 LE/LBP 0.50.472.410.350.290 LX/LBP 0.035.119.210.300 LR/LBP 0.50.493.471.440.410 CX.977.982.986.989.994 Cp.614.661.710.759.805 CPF.581.651.721.792.861 CpA.646.672.698.721.750 CPF.581.630.660.704.761 CPR.646.667.680.686.695 CpV.774.803.831.851.871 CW.741.807.843.882.918 CI.586.678.732.793.844 h~E (deg) 12.0 17.0 25.0 36.0 57,5 LCB (LBP) -1.500 -.500 +.490 +1.490 +2.540 L/B 7.500 7.230 7.000 6.750 6.500 B/H 2.500 2.500 2.500 2.500 2.500 L/V1/3 6.156 5.869 5. 593 5.335 5.092 2S/,3 6. 564 6. 350 6. 240 6.080 6. 040 K R =R/-g.229.205.181.153.118

94 jI / 0.75 E strrme V ------ -Extern U Fig. 1. Original extreme "V" and extreme "U" proposals, CB =.60.

Extreme1 V Extreme U Fig. 2. Original extreme "'V" and extreme "U" proposals, CB =.75. L~~~~~~~~~~~~~~~~~5 Fig. 2. Original extreme "V" and extreme "U" proposals, CB.75.

1.75 LWL i.50 LWL S~ A,~~ __ t~~~~~~~~ ~1.25 LWL P 1.00 L WL 0.75 LWL O.50LWL 15~ ~ 0.25 LWL 0. 125 LWL 0.7 % 8 0.s B o. 2 s B 0.25 B o.0 8 0.75 B Fig. 3. Composite body plan of CB =.60 Series 60 parent, U of M "V" Series, and intermediate "V" Series.

— _ _F~ -- - 1~ - ~I.5 LW L....._~ E~........._- _ 71.25 LWL '~~~~ `~~;; ~~~~~~~~~~~ ~~~0) L` i. ~~~100 L"V /_/ 4/ I, 1 7: 16 3 4_ _ 0.50 LWL 6 1 35 -. 75 LWL 0.75 B 0.5 B 0.25B 0.125B 0.125B 0.25B 0.5B 0.75B Fig. 4. Composite body plan of CB =.65 Series 60 parent and U of M "V" Series.

Ii 1~ ~ ~'~: ~:- — 1.5 LWL ~~ \, iI::~~~ ~ ~: 1/1/ ~Az. ~ ~ ~ / / / /_..25 LVVWL \I ~~~~~~~A 1.00 LWL 0.25LWL 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~0.50L( 130.0.25 0.125 0125B 25 0.5 0.75 0. 05 V 0.75B 05 B.25B 0.25B0.125B 0.25 B 0.5 B 0. 75 6 Fig. 5. Composite body plan of CB =.70 Series 60 parent and U of M '"V" Series,

\\\t~~~~~~~~~~~~~~~~~~ \''~~~~~~~~:~1.50 L WL P 1.25 LWL IV 0.0 LWL k~~~~~~~~~~~~~l ~~ ~ ~ c 0.25 LWL 12~~~~~ 0.12 LN 0.75 B 0.5 B 0.25 B$: 0.25 B 0.5 B 0.75 B Fig. 6. Composite body plan of CB =.75 Series 60 parent and U of M "V' Series.

1.50 LWL 18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~i 1.25 LWL 1 8i 1.00 LWL 17~~~~~~~~~~~~~~~~~~~~~~~~~~~~~9 3 0.75 LWVL 0.5'0 LWVL 14 4 0.25 LWL 0.0 75 LWL 0.75 B 0.50 B 0.25B 0.25 B 0.50 B 0.75 B Fig. 7. Composite body plan of CB =.80 Series 60 parent and U of M "V" Series.

Lines of Side Tanyent 1.0 1~0 (UM 966).8 ~~~~~~ / ~~~~~~.8,~~~~~~~~~~~~~~~~~~~~~.o ~ " I..80.6 I /.I~ (UM 93(M93.6 Parent). Pa i~~~o,, (l51 952~(UM938 I ~~~~~~/ Parent)913 \PaPrent.6 N.7 1.0 OM 959)~~~~~~~~(U 98 1.o u V-Series~~~~~~~eres6 a~~~~ Parent) Parent) / / 20 18 1 1 2108 6 29 59) / Ti / \s.8 \/.65 foreres 6 Series 6a 1.0(Uf 912 Parents 4 Parent). Su.$ ~~~~~~~~~~~~~~~~~~~~~~~U of M B ~~~~~~~~~~~~~~~~~~~~~~~~~V-Series 2~.60 20 is 16 14 12 \0 a 6 s 2 0 STAXIONSS Fig. 8. Orthgonal plot or nondimensional load waterlines for Series 60 and the U of M "V" Series.

60 57.5 U I 'V Series 50 OC / ( 4O %O4 ran 36.0 mI i I -/ ~~~~~~~e"B S R A Series 3 0.OO/ Z01 S 1- B Series 4o 25/0 25.0 - / SZeries 60 _ 422.5 Parents %O 20 17.0 12.0 10?.0.60.65.70.75.80.85 Block Coefficient Fig. 9. Half-angle of entrance at the load waterline for various hull form series.

1.o- -1.0 -9 96 6) -9.8 - UNM 932) 10.7.7 es 1. -.7- ~~~~~~~~~~~ ~ ~~~~~AsPre U of75I o~~~~~~~~~~~~~~~~~~~~~~~~~~~~.st~~ [6 CZt-I 1 1. (tn~1 9) I B = 980 ~, E-4 H AB Per DTM I ~C~91 1.0.7 CIT= BxBS (Seie(ere (Series 6060.9.6 - Paren~~~~~~~~~~~~~~~~~~~~~~~~en /CB cB = ~ 7 5.78 c3 ~ As Per MM H~~~~~~~~~u 912)9. 1.7 -,,.0r - (UK 5 ~.a tela9 - d atrin frSerie 60.8-%:C.65 77.6~ / (UM 912) CB.6 ~75.80 ' 8. ~90 ~.95 Vertical Prismatic Coefficient, CpV, At Designed WL. Fig. 10. Orthogonal plot of transverse moment of inertia coefficients at the load waterline for Series 60 and the U of M "V" Series.

6.75 6.75 ~~~~~~~~~6.50 - ~~~~~UM V-Saries 6.50 (Series 60 Parent ) 6.25 - 6.25 (UIM 966) -eal 932) 6.75 60- - 6.00 -I 6. 50- -L 5.75 - " 157 7~~~~~~57 6.: ] ~ - 6 o o 0,' / I i / - - --- - 7- ~-YY~ f 1 ~ 5.50 6.2 5 - 5 - 0 66..0075 -. 6.50 - - 5.75 - -P —1 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ - 5. CB7575 6.75 - 5.50 99 ---5 Fig.~~~~~~~~~2 1. Orhgnlpofwte ufaecefcet ttela (S erie. 60 6-75- 6.00 -PC 6.50- 53 575 (M99 ~50 CM (Tim~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 959 -~~~~ ~ ~~~~~~etclP-imi CoefcetMp, tDsge L c a t erline fo r Series 60-I and thesU of 60 Parien. 6.75 - 6. 00 90~9 C\JPPI ~ ~ ~ ~ ~ eria -ilai oefcetCA esge L 924).Otognlpo f etdsrac ofiint ttela 6.50 - '00, f- eie O n te f V" S ris

0o9 S ~aS g-La DL H puL sTaPu,,Al,, i JO n 09' = u3 all Joj sgou' uT paads snsa[A uaOTDTJJODO aTSTndo~d puI 'aoxodas[oy q jelqs 'aood-asJoq aGy.cajjT 'ZI '$,g 5:2! IZ A 51 I~~~~~~~~~~~~~~~-z:...... O /~~~~~~~~ t o --- — 'C Io 0' O*Oi lH oh - AN'L~~~~~~~~~~~~~~~~~~~~~~i 0 o Ca t,~6 Mnzo,,,AA, Nh Jo 1 09'11/I I t T _ ~__ ~ I _; 08'1 --i......~~~~~~~~~~~~--— [

U of 1i "V" Form 924 D120 Parent 4210 i..120 100.30 I.. 1-.. no J,.10.30.20.10 15 17 19 VK 21 23 25 Fig. 13. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the Cg =.60 U of M "V" Series and the DTMB Series 60.

c~.4 I-d 0 ~~~ * &io~ (D ~~~~~~~~~~~~Thousand Horsepower H o ~cI I i-I_ J t"-\ II~~~~ ~ ~ ~ ~ I — ct- 0 ~ ~ ~ ~ ~~ -~ ii -I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~:~ -- — ~~~~~~~~ I I = (Di W~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ CDi 0 I c ')-l~ — I-'- '-' ci- C~l-. p4c. a(~ (D~

120 U of ~"V '"' Form 959 DU-33 Parent 4211 _ / 100 60 _-.30 - --- X _... wQ. ~220 0_ _=__;.20.20.10 I I I I I 1 1I I 1 13 15 17 19 21 23 Fig. 15. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the Cg =.65 U of M "V" Series and the DTMB Series 60.

40 I 1, 1 A.1 1/S6.80.70;.60.50 30 U of M 'V" Form 958 - D- - DMB Parent 4212 W 0 -10 -- 12 14 16 18 20 Fig. 16. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.70 U of M "V" Series and the DTMB Series 6o.

120 U of M1 "V" Form 958 100 DTh3, Parent 4212 W 30.40 L_______ __ 1 Q.30.20.____ __.__.__ _ __t__I.10f - -- -I --- 12 14 16 18 20 VK Fig. 17. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB =.70 U of M "V" Series and the DTMB Series 60.

ID - )-J o 0 ) o o o o Thousand IHorsepower (D Pi F (DW c+ P'iv P. o (D c+ % oU) 1-i (D cI-O om % ~ i j (-i) (') II - 11 14 o O l Q~~~~~~~~~~~.~~~~ ~.. I - ct O CD ~D) 0 co"MO U) P (D h::: Fj p j _~~~~~~~~~~~~~~~~~ P, -I I -.................. (D (D U)' H o - co O 0 0 0 0 i H P.C. H \ (D (D 0 M C~

U of M 'Ir" Form 952 100 - DiU3B Parent 4213 W 00 1 60 40,T.30 -.20.30 - -.10 t - - I I I I I I I. I I 11 13 15 17 19 21 vK Fig. 19. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB =.75 U of M "V" Series and the DTMB Series 60.

30 e U of it "V" Form 966 D-DTIB Parent 4214 Tr 20 SHP 10 / 9 11 117 19 Fig. 20. Effective horsepower, shaft horsepower, and propulsive coefficient versus speed in knots for the CB =.80 U of M "V" Series and the DTMB Series 60.

U of M 'IV" Form 966 100 -- D'IB Parent 4214 W 60 40.40o WQ.30. __ _.20.40.30.20.10 9 11 13 15 17 19 VK Fig. 21. Revolutions per minute, wake fraction, and thrust deduction versus speed in knots for the CB =.80 U of M "V" Series and the DTMB Series 60

C3 =.60 U of MI "V'J" FO,1 - --- DTh PAE1ETT.70 _ I_ ~60 14 15 20 2 20 24 26 CB =.65.70! 12 14 186 18 20 22 24 VK.70 ---- -! 707.60 ___ I I I I 1 1 1 12 14 16 18 20 22 C =.75.70 ep.60.. 10 12 14 16 16 18 20 VK.70 _ _.60 "_ 8 10 12 14 16 18 20 Fig. 22. Propeller efficiency versus speed in knots for the U of M "V" Series and the DTMB Series 60.

.8 I i I Jv/ 6%., N I __ / N r9~~~~~~~~~~~~I _ / N I i 0.1.2.33*)4 6.6.7.8.9 1.0 1.1 1.2 J v/nd Fig. 2, Open water propeller characteristics for U of M and DThIB 1 propellers used on the Co =.60 models. 1 propellers used on the CB =.60 models.

;- U of M Prop. No. 11 -7| ----- DTB Parent 3380 6,., oC' Pt.1 0.1.2.3 4..5.6.7.8.9 1.0 1.1 1.2 J v/nd Fig. 24. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.65 models.

U of M Prop. No. 10 DTMB Parent 3376 / S T _ I __ 2 _ I \ i 0.1.2.3.L.5.6.7.8.9 1.0 1.1 1.2 J = v/nd Fig. 25. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.70 models.

.81 U of 14 Prop. No. 2.._ / -...... --- DTMB Parent 3379.7........ \ -.6,3 0.1.2.3.4.5.6.7.8.9 1.0 1.1 1.2 J = v/nd Fig. 26. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.75 models.

.8 1 7| — - U of M Prop. No. 4._..7 t DTI2B Parent 3377 / e 7.26 //'_ _,L3-......... 0.1.2.3.4.5.6.7.8.9 1.0 1.1 J = v/nd Fig. 27. Open water propeller characteristics for U of M and DTMB propellers used on the CB =.80 models.

APPENDIX

TABLE A-I CURVES OF FORM FOR TUE SERIES 60, CB =.60 CALCULATIONS FOR THE CURVES OF FORM AND BONJEAN CURVES SHIP NO.912 R. A. VAGLE, H. C. KIM BASIC DIMENSIONS THE LENGTH BETWEEN PERPENDICULARS IS 600.000 FEET THE MOLDED HALF BEAM IS 39.997 FEET THERE ARE 5 DIFFERENT STATION SPACINGS ALONG THE SHIP THERE ARE 2 DIFFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LOCATED AT STATION 14 CALCULATED ON 8/22/62

TABLE A-I (Continued) WATERPLANE CALCULATIONS SHIP NO.912 CF IS IN FEET FORWARD (+) OR AFT (-) OF MIDSHIPS WATERLINE WP AREAS CF (FROM MIG.) TONS PER INCH WP C3EFF. TRANSV. I. COEFF. LONYS. I. COEFF..000 14768 -14.504 35.161.3377.09383.12483 4.000 24142 -4.343 57.480.5033.27574.27151 8.000 27003 -2.915 64.292.5625.36036.31663 15.999 29751 -5.261 70.836.6199.44542.36689 23.997 31475 -11.329 74.943.6558.49057.41039 31.996 33994 -23.21J 80.937.7082.54383.49491 39.994 36569 -31.600 87.070.7619.60010.59163 47.993 39010 -33.202 92.880.812B.66079.68884 MOLDED DISPLACEMENTS SHIP NO.912 ALL VALUES ARE IN LONG TONS WATERLINE DISP. SALT WATER DISP. FRESH WATER 4.000 2285 2222 8.000 5270 5124 15.999 11830 11502 23.997 18846 18322 31.996 26.312 25581 39.994 34373 33419 47.993 43012 41817

TABLE A-I (Continued) LONGITUDINAL AND VERTICAL CENTERS OF HBUOYANCY SHIP N0.912 VCB IS IN FEET ABOVE THE BASELINE WATERLINE VCB LCB 4.000 2.319 -7. 630 8.000 4.354 -5.149 15.999 8.578 -4.237 23.997 12.831 -5.678 31.996 17.155 -8.875 39.994 21.586 -13.295 47.993 26.094 -17.236 TRANSVERSE AND LONGITUDINAL METACENTRIC HEIGHTS SHIP NO.912 ALL VALUES ARE IN FEET ABOVE THE HASE LINE WATERLINE KM TRANS. KM L3JN. 4.000 32.341 2249.319 8.000 42.617 2123.857 15.999 30.853 1109.658 23.997 30.114 813.741 31.996 30.790 658.833 39.994 33.155 613.922 47.993 36.297 591.9 14

TABLE A-I (Continued) MOMENT TO TRIM ONE INCH AND CHANGES IN DISPLACEMENT FOR A ONE INCH TRIM AFI SHIP NO.912 THE MOMENTS ARE IN FOOT LONV' TONS iHE CHANGE IN DISP. IS IN LONG TONS WA1ERLINE MOM. TO IRIM 1 IN. CHANGE 14 DISP. 4.030 713.244.416 8.090 1009.207.312 15.999 2096.378.621 23.997 2344.936 1.415 31.996 2827.861 3.132 39.994 3380.505 4.586 47.943 3935.986 5.140 BLOCK, PRISMATIC, MIDSHIP, AND VERTICAL PRISMATIC.0EFFICIENTS SHIP NO.912 WATERLINE BLOCK PRISMATIC MIDSHIP VEITICAL PRISMAUIC 4.000.4166.4992.8346.8283 3.000.4804.5317.9034.8538 15.999.5392.5658.9531.8699 23.997.5727.5909.9691.8733 31.996.5997.6139.9768.8461 39.994.6267.6386.9815.8226 47.993.6535.6638.9846.8341

TABLE A-I (Continued) SECTIONAL AREAS FROM BONJEAN CJRVES SHIP NO.912 LOCATION OF STATIONS STATION DISTANCE FROM STA. D 0.000 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 10 184.352 11 214.352 12 244.352 13 274.352 14 304.352 15 334.352 16 364.352 17 394.352 18 424.352 19 454.352 20 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 604.352 27 608.495 28 512.637 29 616.780 30 620.923

TABLE A-I (Continued) SEC[IONAL AREAS WATERLINES 4.000 8.000 15.999 23.997 31.996 39.994 47.993 STATION AREAS (SQ. FT.) 0.000 -.000.000.000.000.000.000 1.000.000.000.000.000.000 8.094 2.000.000.000.000.333 5.332 25.053 3 6.621 18.771 46.341 73.265 133.D16 142.736 204.424 4 13.548 38.552 93.631 150.416 211.358 285.525 389.640 5 20.107 58.486 145.019 238.012 336.334 448.655 597.414.. —........6 27.312 79.952 234.421 338.902 479.677 637.544 836.551 7 44.529 129.143 338.278 568.532 811.289 16;i5.770 1384.191 __- -8... 73.238 199.962 505.885 839.759 1191.049 1564.uti 1975.123 9 113.805 289.181 693.928 1128.774 1579.765 2050.200 A>;7.o;7........ 169.902 402.048 890.099 1413.410 1946.386 2491.017 3050.884 11 201.759 462.448 1029.023 1615.132 2234.875 2833.544 3402,.665.. -12.... 235.252 523.448 1135.383 1760.967 2386.955 3014.009 3642.097 13 255.738 558.419 1192.478 1832.537 2472.594 3112.439 3752.285.. 14 267.069 578.124 1219.722 1860.369 2530.214 3140.060 3779.905 15 260.581 567.562 1206.208 1847.378 2487.224 3127.069 3766.915.. ---— 16 243,850 538.486 1165.305 1835.592 2445.758 3085.604 3725.449 17 217.750 488.943 1084.446 1711.106 2345.840 2983.021 3621.919.. —..1..... 182.750 417.914 951.800 1539.267 2154.314 2783.849 3420.482 19 143.240 334.581 780.350 1296.891 1872.073 2486.554 3118.355 -20a 103.231 247.476 590.683 1011.926 1519.379 2094.876 2707.095 21 68.190 169.295 434.728 737.793 1109.850 1615.288 2182.977.___.____- 22 34.800 92.629 230.241 426.353 673.6300 1074.142 1570.325 23 22.467 61.790 153.643 270.941 468.073 834.755 1254.142 -.24.. 12.469 35.324 87.612 150.806 277.855 544.345 936.913 25 4.236 10.486 23.934 41.060 105.448 297.466 619.818 26.000.000.000.000 21.853 128.805 351.594 27.000.000.000.000 13.837 95.412 293.566 ____.. 28.000.000.000.000. 6,934 64.608 229.292 29.000.000.000.00D.000 28.566 137.832 _. _.... -30-.000.000.000.000... 00.000.000

TABLE A-I (Continued) $ DATA 002936 11/21/62 9 23 5.3 AM MAP ERROR 00000* SYSTEM 00000* SPRINT 00000* SKIPS 00000* SCARDS 00000* SPEEK 00000* -EXIT 00000* FIRAP 00000* (MAIN) 10000.IOH 47671*.READ 52101*.PRIN( 52247*.PRSLT 52330*.PCOMT 53026*.01301 53045* ZERD 53137*.03311 53113*.ERR 53210* BNBCD 53272* (PROG) 53315 (SUBT) 74712 (ERAS) 77776 21365 LOCS. CAN BE SAFELY USED IN EXPANDING PROG. (OCrAL) INPUT VALUES READ WERE LBP = 168.000000, BE = 11.199300, INCH = iN, LAMBDA = t2.85714D NBL = 5, NBV = 2, DST = 14 L(1)...L(5) 1.218500E 00 1.801850E 01 1.524185E 02 1.692185E 02 1.738585E 02 LN(1)...LN(5) 2 4 16 4 4 D(1)...D(2) 2.2.40000E 00 1.343800E 01 VN(1)...VN(2) 2 5 OFS(0,0)...OFS(30,7).0000003E 00 00.OEOOOOE 00 OOOOOOOE 00.OOOOOOE 00.0000001 30.000000E 00.0000001 00.000000E 00.000000E 00.000000E 00.000000E 00.000000E 00.000000E 00.000J00E 00 3.4G00000-01.OOOOOOE 00.OO0DUDE 00.000300E 00.OOOOOOE 00.000030E 00.-00000E 00 2.240000E-01 4.700000E-01 7.200000E-02 3.6000OOE-01 4.590000E-01 4.630000E-01 4.8200O0E-31 5.7120D00-01 8.5130-00E-0 1.344000E 00 1.030000E-01 7.600000E-01 9.0500001-01 9.7400001-01 1.0080D0E 00 1.1420OUE JO 1.490000E 00 2.218000E 00 1.110000E-01 1.160000E 00 1.390000E 00 1.579000E 00 1.6580001 00 1.79200CC Co 2.184I"0E 00 3.1130001 00 1.910000E-01 1.560000E 00 1.964000E 00 2.285000E CO 2.3860COE 00 2.553300E 00 3.024030 E C0 4.0320001 00 4.370000E-01 2.470000E 00 3.243000E 00 3.875000E 00 4.121000E 00 4.3790001 E0 4.928300E 00 5.947700E 00 1.066000E 00 3.7800001E 00 4.810000F 00 5.6220D0E 00 5.9920001 00 6.294000E CO 6.798000DGE 0C 7.6490001 00 2.187000E 00 5.42000CE 00 6.497000E 00 7.392000E 00 7.739J000 00 8.041000DE - 8.444o001 00 9.004000E 00

TABLE A-I (Concluded) 3.729000E 03 7.600300E 03 8.086000E 00 8.982COOE 03 9.229030E 00 9.41900GE 00 9.654000E 03 9.955000E 03 5.296000E 03 8.460000E 00 9.421000E 00 1.014700E 01 1.327033E 01 1.037130E 01 1.J48300E 31 1.059590 1 0 6.608000E 00 9.5103000E 00 1.031400E 01 1.087500E 01 1.D94230E 01 1,.96400E 01 1.098700E 31 1.399830E 01 7.514000E 00 1.008000E 01 1.080000E 01 1.115500E 01 1.119930E 01 1.119930E 01 1.119930E 31 1.119930c 01 7.952000E C0 1.043000E 01 1.103100E 01 1.119930E 01 1.119930E 01 1.119930E 31 1.119930E 31 1.119930E 01 7.673000E 00 1.025000E 01 1.092100E 01 1.119930E 31 1.119933E 01 1.119933E 01 1.119930E 3l 1.119933E 01 7.013000E 00 9.740000E 00 1.056800E 01 1.113200E 01 1.119930E 01 1.119930E 01 1.119930E 31 1.119933E 01 6.099000E 00 8.850000E 00 9.840000E 00 1.077400E 01 1.1054)3E 01 1.113233E 01 1.1166030E 01 1.119930E 0C1 4.946000E 03 7.580000E 00 8.615000E 00 9.900000E 00 1.356130E 01 1.391900E 01 1.108700E 31 1,.118OOE 01 3.682000E 00 6.10000OF 00 7.049000E 00 8,444000E 03 9.598030E 03 1.049433E 01 1.394200E 01 1.113200E 01 2.457000E 00 4.5500OOE 00 5.328000E 00 6.630000E 00 8.1530DOE 00 9.598000E 00 1.044900E 31 1.091903E 01 1.336000E 00 3.200000E 00 3.640000E 00 4.625000E 03 6.059330E 33 8.123000E 30 9.45230DE 00 1.0348300E 01 5.170000E-01 1,770D00E 00 2.129000E 00 2.643000E 00 3.595030E 30 6.003000E 00 7,940000E 03 9,3430GOE 00 2.540000E-01 1.200000E 30 1.434000E 00 1,747000E 03 2.419333DE 03 4.763000E 30 7.311000E 00 B.612000E 30 1.ll110000E-01 6.900000E-01 8.380000E-01 9.520000E-01 1.299030E 03 3.449000E 00 5.936000E 00 7.683000E 00 8.000000E-02 2.0000GE-01 2.210000E-01 2.460000E-1 3.700330DE-01 2.162330E o0 4.681300E 30 6.484033O 00.000OOOE 00.000000E 00.000000E 00.300000E 00.3-0000E 30 9.180000E-01 3.024000E 03 4.704000E 09.000000E 00.000000E 00.000000E 00.000000E 03.000030E 03 5.80300DE-01 2.5030300E 00 4.44000E 00.000000E 03.000000E O0.000000E 00 300000E CO.300030E O0 2.900000E-01 1.960000E 03 3.843000E 03.000000E 03.000000E 00.00000 00 000000E 00.0033)3E 00.000300E 00 1.23DD30E 00D 2,673003E 0.000000E 00.000000E 00.000000E 00.030000E 00.00030E 00.0000.OE 00 E 000000E 33.00000E 00

TABLE A-II CURVES OF FORM FOR TUE SERIES 6o, CB =.65 CALCULATIONS FOR THE CURVES CF FORM ANU PCNJEAN CURVES SHIP NO..65PAR R. 4. YAGLE, H. C. KIM BASIC DIMENSICNS TKZ LENGTH 6EI~EN PERPENDICULARS IS 600.0 0 FEET THE MCLOEC IHALF bEAP IS 41.379 FEET T~ERE ARE 5 D[FFERENT STATION SPACINGS ALONG THE SHIP TI-ERE ARE 2 DIFFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LCcATED AT STATION 14 CALCULATEU ON 8/22162

TABLE A-II (Continued) IAT ERPLANE CALCULATIONS SHIP NO.. 65PAR CF IS IN FEET FCRWARD ( + ) CR AFT (-) OF MIUSHIPS WATERLiNE WP,REAS CF (FROM MID.) TuNS PER INCHI WP COEFF. TRANSV. I. CFEFF. LONG. 1. COEFF..000 17553 -5.787 41.794.3535.12687.15317 4.137 27734 2.044 66.C034.5585.34046.3201E 8.275 30746 2.708 73.205.6192.43442.371C3 16.551 33160 -. 054 78.951.6678.50743.42157 24.828 34791 -5.820 82.837.7007.54959.46684 33.104 3/109 -16.362 88.356.7474.59 80.54898 41.381 39546 - 4.534 94.157.7964.65214.64258 49.657 41 760 -26.535 99.430.8410.70817.73168 MOLDED DISPLACEMENTS SHIP NO..65PAR ALL VALUES ARE IN LCNG TONS hATERLINE I)ISP. SALT WATER DISP. FRESH WATER 4.131 2747 2671 8.275 6275 6100 16.551 13925 13539 24.828 21975 21365 33.1C4 30463 29616 41.3E1 39'524 38426 49.657 49141 47776

TABLE A-II (Continued) LONGI IUDINAL AND VERTICAL CENTERS (iF BUIJYANCY SHiP;N0..65PAR VCH IS IN FEET ABOVE THE BASELINE WATERLINE VJCH LCB 4.137 2.379 -.494 8.275 4.480 1.309 16.551 8.811 1.542 24.828 13.165 -.018 33.104 17.586 -3.024 41.381 22.103 -7.070 49.657 26.692 -10.777 TRANSVERSE AND LONGIUDGINAL METACF.;TRI; HEIGHTS SHIP NO.. 65PAR ALL VALUES ARE IN FEET ABOVE THE BASE LINE WATERLINE KM TRANS. KM LONG. 4.137 39.770 2375.116 8.275 48.413 2176.235 16.551 34.070 1142.b12 24.828 31.862 829.647 33.104 32.194 669. -26 41.381 34.350 613.265 49.657 37.437 583.225

TABLE A-IT (Continued) MOMENT TO TRIM ONE INCHl AND CHANGES IN DISPLACEMENT FOR A ONE INCH TRIM AFT SHIP NO..5PAR THE MOMENTS ARE IN FOOT LCNG TONS THE CHANGE IN OISP. IS IN LONG TONS WATERLINE MCM. TO TRIM 1 IN. CHANGE IN DISP. 4.137 905.413 -.225 8..275 2193.260 -.330 16.551 2491.970 %I; 24.828 2759.5b8.804 33.104 3245.123 2.41C 41.381 3798.435 3.850 49.657 4325.141 4.397 BLOCK, PRISMATIC, MIDSHIP, AND VERTICAL PRISMATIC COEFFICIENTS SHIP NO..65PAR 6ATERLINE RLOCK PRISMATIC MIDSHIP VERTICAL PRISMATIC 4.137.4681.5480.8542.8380 8.275.5345.5826.9174.8632 16.551.593Q.6167.9617.8880 24. 828.6239.6401.9747.6904 33.104.6486.6612.9810.8679 41.381.6732.6836.9048.8453 49.657.6976.7065.9873.8294

TABLE A-II (Continued) SECTIONAL AREAS FROM EONJEAN CURVES SHIP NO..65PAR LOCATION OF STATICNS STATION DISTANCE FROM STA. 0 0.000 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 10 184.352 11 214.352 12 244.352 13 214.352 14 304.352 15 334.352 16 364.352 11 394.352 19 424.352 19 454.352 20, 484.352 21 514.352 22 544.352 23 559.352 24 574.351-,2 25 5o9.352 26 604.352 27 6'J3.495 >3 612.637 2) 616.780 31) 620.923

TABLE A-II (Continued) SECT INAL ARFAS WATERLINES 4.137 8.275 16.551 24.828 33.134 41.381 49.657 — STATICN AREAS (SQ. FT.) 0.000.000.000.) 000.000 1.C30.000.000.OC0.009.000 5.665 2.000.00.000.000.000 5.419 26.923 3 9.497 27.505 67.849 108.281 151.205 203.622 280.346 4 18.867 54. 38 135.613 221. 338 31C. 142 411.957 547.385 5 29.123 84.769 213.962 350.937 494.685 653.317 851.488 6 41.353 118.953 301.571 497.289 702.264 926.156 1192.243 7 74.219 2C2.757 5C1.627 823.679 1161.859 1523.963 1925.365 8 117.227 301.023 721.U48 1169.556 1635.893 2124.203 2644.637 9 165.406 403.249 931.967 1487.542 2C57.394 2642.424 3247.958 1C 2C9.875 485.151 1C85.753 1714.259 2348.105 2990.223 3644.2C9 11 252.346 564.463 1222.849 1888.185 2556.009 3227.931 3904.268 12 278.350 6(;5.789 1287.348 1973.6C7 2652.619 3335.892 4020. 391 13 29C.814 624.910 1314.391 1999.837 2684.770 3369.703 40)54.637 14 292.474 628.263 1317.231 2002.623 2687.556 3372.489 4057.423 15 288.906 622.969 1310.726 1996.344 2681.277 3366.211 4051.144 16 276.653 602.410 1282.496 1967.870 2652.976 3337.909 4322.842 17 251.83;6 558.996 1215.811 i892.C30 2574.101 3256.586 3943.633 16 214.830 488.442 1094.702 1742.220 2410.255 3088.287 3771.373 19 171.219 399.919 922.7-75 1509.214 2141.868 2603.844 348.71I7? 2C 123.566 298.777 712.035 1203.744 1771.162 2394.859 3053.111 21 78.383 199.283 491.052 856.761 1319.699 1876.698 2493.528 22 41.6CO 111.704 279.289 495.880 812.665 1262.765 1807.329 23 26.474 73.264 184.747 329.166 563.881 944.503 1437.911 24 14.792 41.139 101.202 178.119 326.858 628.415 1057.085 25 4.729 11.467 25.901 45.361 119.474 332.824 682.754 26.C00 C0.COO.000 23.967 139.931 380.908 27.003.000.30.000 14.287 99.219 302.089 28.000.000..C 4.434 56.851 203.856 29.000 3.0 0.3.000 22.662 123.949 30.CCO.03.CO0.3CO0.00).000.000

TABLE A-II (Continued) 3.476000CCE Ov 7.2 000CE CC 8.378CCE CC 9.199C0CE 'C 9.512000E 30 9.755C0CE[ JO 1.,.45'E D l 1.D462nOE vl 5.171000E OC 8.620CCJE CO 9.597?OCE CC 1..48-C E C1 1._6590CE 01 1.0775 IDE 01 1. ]96CDC E 1 1.116900E 31 6.747CC5E CO 9.9400COE CO 1.079200E 01 1.1192^CE Cl 1.126200E,1 1.1331350 01 1.14510SE '1 1.148200E '-I 7.946000E 'D 1.0'5700DE 01 1.126800E 01 1.154000E Cl 1.152800E Cl 1.155100.E 01 1.1563;0OE C1 1.158600E 31 8.553000E 0O0 1.CS50CCE Cl 1.148200E 31 1.1586GE00 Cl 1.158600E 1.1586 1.186 1.58670E Cl 1.158600E D1 8.562000E 00 1.C3000CE 01 1.149300E Sl 1.1586C0E 01 1.158600E Cl 1.15b86L0L 'I 1.15863CE CI 1.158600E 01 8.391COCE 00 1.C8-0OCE Cl 1.144700E 01 1.158600E 01 1.158630[ 'I 1.15860C-E l 1.1586_E Gi l.. S i15860E 01 -7.894007E 0 1.051000GE 1 1.121700E 01 1.155130E G1 1.158600E Cl 1.1586CSE '1 1.1586^0E C1 1.15866OE 01 6.918000E 00 9.7900G0CE OC 1.C66600E 01 1.130800E 01 1.1493`CE 01 1.156303E 31 1.15860CE 01 1.158600E u1 5.64200OE 00 8.5800CGE CO 9.620000E O0 1.065930E 01 1.1157E00 01 1.1401C0E '1 1.15160OE 01 1.15860OE 01 4.21300CE 00 7.0,)COCE 30 8.iC3C000E OC' 9.419COOE 00 1.035800E 01 1.C99500E A 1.135400E Cl 1.152800E 01 2.75700CE 0O0 5.3 3')00E 00 6.252C00E 0C 7.624000E 00 9.0140COE 00 1. 138GC0E 01 1.D9'120E Cf.i130800E G1 1.456000CE OC 3.UDOCCE CC 4.333000C E 00 5.469;CCE CO 6.9,3000E 00 8.747060E )0 1.0 lv0>E 1t i,.0l77500E -9i 5.651C09E-01 2.07C000E 00 2.494C000E 0C 3.1280C3E CC 4.287C00vE 00 6.627000E CO 8.527.CE 00 9.790000E 00 2.911COCE-01 1.37000CE 3C 1.666000E 00 2.C620C0E 00 2.897C00F G00 5.306C0OE 0O 7.542;00E C0 9.025 300E 00 1.3700CCE-01 7.8000COE-01 9.190000E-01 1.089000CE O0 1.564000E O0 3.835000E0.. 6.338vC0E CO 8.029000E -00 4.40000CE-C2 2.100000CE-C1 2.3COCOOE-01 2.55000CE-C01 4.280000E-301 2.375000E D 4.947033E O 6.7660OE Q0 C.OCO'C0E 00.COOOCOE D0.OCO030 E C3.OOO0 E Ov.COCCCE C0 9.730& 2 E-C1 3.151 9OCE-O 0.. 4.9360OE 00.0000COE O0.CCOOOCE CC.0 0OCCE 0C.OuOCOCE CO.COOC, vF CO 5.8COCOE-CL 2.520S0J:-2, 4.323o00E gC.0000COE O.COE 00OCE O.OOCDOOE CS.C 2000CE 0 ",;.000v E CO 1.800020'E-11 1.84 6:DE-00 3.060C OE 00.OOOOO E CC.000000E CO.vO,, CC C.OE0LOCE 0C.C,00C302E 00.000000-. 2. 920CE-.600E 0.OCCOE s0.COOODOE 3C.00300E 30,.'J0Dc0CE 0,3 C, 0 0C'0E CO.20C0OCE0 -0.... j.;',CE 0-...000oOE 00

TABLE A-II (Concluded) SHIP NO..65PAR INPUT VALLES REAO WERE Lbi = 1l6.00coco, HE = 11.586000, INCH = 18, LAMBDA = 42.857140 N2L = 5, NBV = 2, OST = 14 L(1)...L(5) 1.2185CCE 0C ~.8A185'E Cl i.24185E 02 1.692185E C2 1.738585E 02 LN(I)...LN(5) 2 4 16 4 4 D(1)... L(2) 2.317002E 0) 1.399'tCE Cl VN( 1)-...VN(e2) 2 5 CFS(i,C)....OFS(330,7).0000CcE 00.000OCE CE..C9000E CCE.00000E CO.000000E Oc.OOOC oE 00.0O00E 00.000000E 0.C00000CC1 001.0?: 0CC E CC.OOCOCE OCC.COOCCCE CO.000CCE 00.0CCCOOE 00.000GOGGE 00 2.30000E-O1.00000cCC~ CC3.C,-OCE k CE.iOO0C000E 0 C.CCOOC E 00.00009 CC 20.00OCCE 00 2.200L00E-0C1 5.210000E-J1 6.8000CC[-02 5.20000CE-nl 6.440CC0E-01 6.7200CCE-C1 6.9500CCE-01 7.65000E-0-I 1.04300C CC- 1.599000E 00 1. 3 7 0 G C C E - 0 1 1.C'J0CCC CC 1.264C00,E CC 1.4130C-'C 0C 1.46 09)1E C 0 1.56440 E C 1.92300CE CO 2.734000E 00 2. CGCCF - C 1.6CJ0CCCE CC 2.0I0j0 GC CC 2.24820CCE CC 2.364CC"E CC 2.5330C3E -C 2.90800E 00 3.893000E 00 3.5 1000jC E - _- 1 2.2'0,00CC 'C 2.804:2COE C 3.2 0 9 CD-E CC 3.37200CE C0' 3.56820C1E 0C 4.0550-300E 00 5.028000E 00 9.330CC'E-C1 3.77CCOCE CC 4.6090COE CC 5.272CCCE CO 5.56109CC 3C 5.88600CC CC 6.39500Th 00 7.24100E 00 2.046000! t CC 5.49 COCCE CC 6.551099PE C 7.36900OE 90i 7.72800CCE CO 8.041iOOE CO 8.50400CE CO 9.13000CC E0

TABLE A-III CURVES OF FORM FOR THE SERIES 60. CB =.70 Ci4LCULA1 ICNS FCR THE CURVES CF FC.EP AND FONJEAN CURVE-S SHIP NC.913 P. A. YAGLE, H. C. KIM BASIC CIMENSIONS II-E LENGTF BETWEEN PERPENCICCLARS IS CC.ECC FEET TFE MCLCEE HALF REAM IS 44.446 FEET TIERE Ai;E 5 lIFFFERENT STATION SPACINGS AL;NG TI- SHIP THERE AME 2 LIFFERENT WATERLINE SPACINGS UP THE SHIP lIlUSHIP IS LCCiEC AT SIATIrIN 14 CALCULATED EN 8/22/62

TABLE A-III (Continued) lATERPLANE CALLLLAIICNS SHIP NC..7CPAR CF IS FEET FCRI AP (-) LK AFT (-) CF 'ICSHIPS WATERLINE ~ P A~A S CF (FRCM Min.) TCNS PER INCH wP COEFF. TRANSV. I. CCEFF. LGNU. I. COEFF..CCC 21 06 6.833 51.443.4202.17908.20257 4.286 31i79 8.887 76.141.6219.42324.38182 8.571 34747 8.671 82.732.6757.51275.43322 17.144 3 613 5. 20 87.650.7159.57294.48339 25.717 38328 -_ -.331 91.257.7453.61384.52960 34.2cC 4C485 9 -9.893 96.393.7873.65318.61157 42.863 42729 -17.935 101.737.8309.7C159.70212 51.436 44579 -20.853 106.141.8669.74679.77954 MOLDED DISPLACEMENTS SHIP NCO.70PAR ALL VALUES ARE IN LCNG TCNS WATERLINE DISP. SALT WATER DISP. FRESH WATER 4.286 3358 3265 ---- E.571 7521 7312.17.144 _ 16380 15925 25.7117_..2.. Z593 24883 34.29C 35233 34254 ___~.I. 436 _............_4i23 6 54564

TABLE A-III (Continued) LCNGITLDINAL AND VERTICAL CENTERS CF BUOYANCY SHIP NO. 70PAR VCLb IS IN FEET ABOVE THE BASELINE WATERLINE VCB LCB 4.2E6 2.426 8.236 8.571 4.591 8.606 11. 144 9.C35 7.837 25.717 13.502 5.904 34.290 18.C32 2.963 42.863 22.650 -.858 51.436 27.325 -4.469 TRANSVERSE AND LCNGIlUCINAL METACENTRIC HEIGHTS SHIP NO..70PAR ALL VALUES ARE IN FEET ABOVE THE BASE LINE WATERLINE KM TRANS. KM LONG, 4.286 50.386 2661.119 8.571 55.202 2242.255 114_ _ _I_, 3...................J7..~L_8.... 1174.838 25,71.7 33...636 - 846.007 34.290 33.625 680.590 42!.,_l ___...... 3.5.583 616.126 51_.4_36... 38.568 578.762

TABLE A-III (Continued)....MOMENT TO TR-IM CNE INCH AND CFANGES IN DISPLACE-MENT FCR A ONE INCH TRIM AFT SHIP NC.. 7PAR TFt MOMENT —S —AR-E —IN-FOOT LCNG TCNS Tt-E CHANGE IN DISP. IS IN LCNC TONS ___W IAT ERLINF.VMCM. TO IRIM 1 IN. CHANGE IN DISP. 4.286 1240.1C8 -1.128 8.571 2652.153 -1. 196 17.144 2959.260 -.733 25. 717 3242.165.050 34.290 3744.009 1.589 42.863 4298.350 3.041 51.436 4772.269 3.689 ELCCK, PRISMATIC, MIDSHIP, AND VERtIC-AL PRISMATIC COEFFICIENTS SHIP C..7CPAR hATERLINE BLOCK PRISMATIC MIDSHIP VERTICAL PRISMATIC 4.286,.5333.6C81.8771.8576 8.571.5972.6396.9338.8839 17.144. 65C 3.6699.97C7.9083 25.717.6773.69C8.9805.9V88 3.299.6993.7C97.9854.8883 42.863.7212.7298.9883. 868C 51.436.7426.7499.9903.8567

TABLE A-III (Continued) SECTL CNAU- ARENS-TFRCMl-BC NJEAN- CURVES SHIPNC..70PAR LCCATICN CF STATICKS STATICN CISTANCE FROM STA. 0 C, Q,OC 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 IC 184.352 11 214.352 12 244.352 13 274.352 14 304.352 15 334.352 16 364.352 17 394.352 18 424.352 19 ~~~~454.352 2C 484.352 22 544.352 23 559.352 24 574.352 25 589.352 26 604.352 27 608.495 28 612.637 29 616.780 3C 620.923

TABLE A-III (Continued) SECTIGNAL AREAS WATERLINES 4.286 8.571 17.144 25.717 34.290 42.863 51.436 STAPlICN AREAS (SQ. Fl.).CCO.00.0CC.0CC T0D.00. 1.000.000. CC.00r,OCc.00 9.951 2 _.CO. 0CC.0CC C.00c.00 6.123 31.536 3 12.533 36.990 95.07 156.619 222.569 299.786 4C6.212 4 28.452 82.173 209.162 342.551 481.248 635.131 826.979 5 48.474 135.490 336.5933 548.863 770.594 1011.613 1292.987 6 72.740 195.469 472.132 766.520 1073.735 1403.973 1772.948 7 126.707 320.377 750.72C 1202.454 1673.410 2166.778 2688.864 8 185.995 442.796 1CC3.147 1585.514 2183.900 2800.41- 3435.108 9 240.699 546.816 1201.125 1873.278 2554.820 3246.71C 3948.031 283.469 622.C41 1332.219 2050.313 2772.453 3498.023 4226.348 11 3 10. T7 7 6 68.899 1,40C.837 28 1 3 3. 143 2867.-286 3602.163 4336.918 12 321.926 685.8C6 1426.128 2161.005 2895.760- 3630.515 4365.270 13 322.16- -686.000 - 1426.322 2161.199 2895.954 3630.709 - 4365.464 14 322.168 686.CCC 1426.322 2161.199 2895.954 3630.7CS 4365.464 15 322.199 685.877 1425.587 2160.526 2895.280 3630.k35 4364.791 16 313.819 672.806 1409.114 2144.665 2879.420 3614.175 4348.930 ~ — V7`-~` ---r~'~ --- —-t --- —-c —I --- — zt 29C.4 16 635.337 1358.605 292.620 2827.804 3562.559 4297.314 18 253.656 57C.051 1253.810 1968.403 2693.238 3424.197 4158.524 2 - 7 -1 --- fT - -----— 7-3 --- — ------—.2O-4"-66 - ------- -- 4 4 C-9 ----- T4-, 843- -2_4387. 9 -3154.507 3883.690 20 150.281 362.735 854.424 1425.632 2059.900 2739.605 3450;.662 21 96.663 245.24 5 599.932 10.341 1567.246 2182.654 2853.419 22 51.189 136.388 342.770 611.744 988.679 1497.595 2096.164 - 3- - 33.390 1.07'1 228.741 -— 409.465 692.614 1127.355 1671.420 24 18.773 SC.602 123.057 220.246 406.706 752.044 1225.199 25~` --- —-i~S --- —-l — ~-` — — ~~ --- —~~ ----~17 -~-~ ~~ ~~`~~14.622 31.363 54.944 144.346 389.346 773.201 26.CC.0CC.:000.00 27.224 158.348 427.112 27.0 tbt _.f 00.000.600 16.329 1i4.917 345.976 28.000.000 ___ _.00.000 4.848 66.185 249.174 29.002.000.000 00.00o-U 27.556 I - 141.044 30. _ cc.000.u00.0 Oc.000.000.000

TABLE A-III (Continued) SHIP NC..7c'PAR INPLI VALLES REAC 'nERE LEP = 16b.,CCrCC, H3 = 11.9990103 INCH = lb, LAMBDA 42.85714C NEL = 5, NbV = 2, OST = 14 1.216L-C-[ CC 1.EI18C[ FE 1.524185E '2 1.692185E C2 1.738585E 02 _____ ____ ____ L N(l)...LN( 5) 2 4 16 4 4 2.4CC2CCE 02 1.4'-200E Cl VN(1)-.I VN(22 2 5 CFS(t),O)... CFS(3C,7).CCLCCCE CC.CC 20CE CO.CCCCCCE CC.CCuCOCE 00.00000E ~E.CO 0 00 L 0 0 O0000OE 00.OOOOOOE 00. I"0200C CC.CC2002E C' ECCOCCCE CC.OCOC30E 03.00CCE C. CCCE 00.'COOCCE 00 3.900000E-Cl.OCCCCCE CC.%~- )02 22.0000,CC0E 0:.OJCOCE 23.O00OOCE 00.0O20 E 'C 2.400G000-01 6.1203000E-C 8.3%"C00 E-C2 6.77OCCOE-Cl 8.6200CCE-C1 9.72CCOCE-01 1.032000E CO 1.1280001 CO 1.428O0CE 00 2.112000E 00 2.4100CC0E-C'l 1. 4a20 20 1.892C002E 00 2.1240300 00 2.208000E 00 2.3282ID D CO 2.748200E 00 3.588000E 00 5.OC CC E -C 2.440COCE CC 3.018CCCE CC 3.372CCCE CO 3.5280000 00 3.720000E 00 4.2COOCCE 00 5.052000E 00 9.25OCCCE-Cl 3.5100320E 2 4.191CCCE CO 4.668000 00 4.884000E 00 5.16000SE 20 5.6640000 CO 6.431000E 00 2.211CCCE CC 5.65OLCE CC 6.586CCCE CC 7.187CCOE CC 7.523000E CO 7.859000E J0 8.2670000 00 8.807000E 00 4.044CCCE CC 7. 70CCCE 22 8.67CCCCE 00 9.335000E -0 9.623000E 00 9.923002E jj 1.2112 3E 01 1.052300E 01

TABLE A-III (Concluded) 5.977CCCE CC 9.33 CCEE CO 1.C251CCE C1 1. 847CE O1 1.10390CE Cl 1.12i91CE 3l 1.137500E 01 1.153100E 01 7.6izCCCE C 1.5 )C D;C 1 1.128CCOE 91 1.1651j6 E 71 1.175900E 71 1.18192C9E 1 1.1879C2E 7 l 1.190300E 01 8.6894CC;E C0C 1.127i7CE '1 1.1783CcE Cl 1.19270CE C1 1.1975;0F 0I 1.1999C3E 1l 1.19993SE 01 1.199900E 01 9.234'C0E CC 1.1+ I0E 1 1.1977CEE C1 1.19999?CE8 1.1999C '31 1.1999E 1 1.1999 E 01 1.199900E 01 9.2530CCE I^ l.15)0CCE I1 1.1975rCE l1 1.1999;CE 01 1.19999CE C1 1.1999C 0 1 1.199900E 1 1.199900E 01 9.253CC.E CC 1.:,1 nC'.1 1.1975 CE Cl 1.1'999[0E Cl 1.1999CE 01 1.1999DJiE 21 1.199903 E 01l 1.199900E 01 9.2533C2E CC 1.IC CE 1 1.963CCE C1 1.19990CE 01 1.1999506 C3 1.1999CCE 1 1.199 1.1999COE 01 1.199900E 01 8.SS2~E C 1.13) ' E 1 1.1843Cr7E 1 1.19990CE 01 1.199900E C1 1.1999_3E 31 1.199900E 01 1.199900E 01 7.911GCC:E CC 1.172 0CE E1 1.1472CCE C 1 1.19599CE 01 1.1999900E *1 1.1999COE 01 1.199900E 01 6.523SC'_E v' 9.("') i 7CE '-' 1.14830CE 1 1.1759E 01 1.1975 E 1.1759k08 El l.1891CjE 1 1.197570E 01 1.199900E 01 4.923CCCE 9C 8.1: C, 9.197CCCE 7C 1.7415CCE C1 1.1123COE Cl 1.1531CCE Cl 1.181900E 01 1.197500E 01 3.1E83CC3E CC 6.2:'CC 6 E 7.245 CCE CO 8.711CCOE C0 9.8990G0E O0 1.076300E 7 1 1.139900E C1 1.178300E 01 1.721CCCE CC 4.3' CC'E C' 5.113CCCE C3 6.395CCCE CO 7.8953000E C 9.45500GE CO 1.057100E 01 1.126700E 01 7.12CCC E-CI 2.4:3 iC.8E.: 2.934C'3E 7': 3.768CCLE fC 5.10000CE O 7.3b67?-CGE:C 9.179 003E CO 1.024700E 01 3.89GCC;'E-C1l 1.'''E... 1.9760CCE CC 2.484CCCE C:C 3.50C4CCOE Cu 5.988C 00E O0 8.1590C=E CO 9.467000E 00 2.,.3.CCE=-1 9.C) -- 2 1 1. 66 C CE C ' i.2840i 'E '.? 1.9680C0E OC 4.416-00:3E 0 6.86300CE CO 8.447000E O0 1.3CCCC E- l 2. J 'r rC-'l 2.637CCCE-01 2.88OCCCE-01 5.160iCOE-CI 2.7360C00E C 5.328000E 00 7.06700E 00.OCCCE,. E.CCtCCE CC. '3'0E 'CC.C r C-COE 1.0670C;E 2C 3.432000E 00 5.256000E 00.CCCCCE C.:CCCE,C.C" OC-E,: C.CCE.00E 00 6.400000E-01 2.840000E 00 4.640000E 00..*C.C. _ C'J.''," CE:'.COCCCCE C'.-iCOCCCE CO.COCOCOE OCC 1.900000E-l1 2.100000E OG 3.850000E O0.CCC.C;CE C!:. ' C,:r 'i.OCOCCrE OC.0CCCCOE 00.CCOOCOE 00.CGOOGCE C, 1.0380000E OG 2.720000E 00 C.,3CC:C.5 C C:',. "E C CC iC CE CO.E.E.0000E.COCE.OE O G. 0 OOOOOOE 00

TABLE A-IV CURVES OF FORM FOR THE SERIES 60, CB =.75 CALCULA1 IONS FOR THE CURVES CF FCRM AND BONJEAN CURVES SHIP NC.913 R. A. YAGLE, H. C. KIM BASIC CIMENSICNS TI-E LENGTF BETWEEN PERPENDICULARS IS 6C00.0C FEET THE MCLCEC HALF BEAM IS 44.446 FEET THERE ARE 5 CIFFERENT STATION SPACINGS ALONG ThE SHIP THERE ARE 2 GIFFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LCCALETE AT STATION 14 CALCULATED ON 8/22/62

TABLE A-IV (Continued) kVTERPLANE CALCuLATIONS SHIP NC.913 CF IS Ir FEET FC[RVlRL, (+) C&- AFT I-) CF VIDISHIPS hATERLINE YP A'EAS CF (FRCM MID.) TCNS PEk INCH wP CnEFF. TkANSV. 1. CCFFF. LONG. I. COEFF..C0!: 2 1 34 17. C23 63.651.5012. 25 2.27579 4.445 36571 15.531 87.Q75.6857.51491.45339 8.6(9 36367 14.583 92.54C.2287.5c734.50267 17.776 4 _ Cl7l1 1l.C3C 96.931.7633.63793.55398 26.664 42213 5.667 ICC.3C8.1915.67> 5.60447 35.551 44256 -3.783 1C5.372.8298.71136.68810 44.428 _ 48301 -11.65C 11.242.8681.75479.77451 53.325 47863 -14.604 113.959.8974.79467.84030 MELDED DISPLACEME\TS SHIP NO.913 ALL VALUES ARE IN LONG TENS %A1TERLINE DISP. SALT WATER DISP. FRESH WATER 4.445 4099 3985 8. 8 8969 872C 17.776 19150 18618 26.664 29685 2886C 35.551 4C652 39522 44.438 52149 507CC 33.325 64114 62333

TABLE A-IV (Continued) LON-7 ITOWrTVA-A1N-D —VRTEVT -CFT-REWS-TF-BUNCYSHIP N0.913 VCB IS IN FEET ABOVE THE BASELINE WATERLINE VCH LCB 4.445 2.465 16.141 8.889 4.699 15.546 17.776 9.271 14.186 26.664 13.873 12.160 35.551 18.536 9.207 44.438 23.274 5.438 53.325 28.055 1.896 TRANSVERSE AND LONGITUCINAL METACENTRIC HEIGHTS SHIP h0.913 ALL VALUES ARE IN FEET ABOVE THE BASE LINE WATERLINE KM TRANS. KM LONG. 4.445 64.212 3078.071 8.889 62.307 2315.640 17.776 40.048 1209.296 26.664 35.438 867.028 35.551 35.169 698.310 44 438..............36.962 626.498 53.325 39.869 580.319

TABLE A-IV (Continued) MCENIT TO TRIM [NE It4CH AND CHANGES IN [ISPLACEMENT FCR A [NF INCH TRIM AFI SHIP N0.913 THE MCVENIS ARE IN FOCT LCNG ICNS THE CHANGE IN CISP. IS IN LCNG TONS WATERLINE MGM. TO TRIM 1 IN. CHANGE IN UISP. 4.445 1751.115 -2.254 8.889 3191.681 -2.249 17.776 3517.479 -1.782 26___ _ 3838.045 -.949 35 551 4369.076 *664 44.438 4917.749 2.148 53.325 5335.454 2.774 Y8LCX,__PKR,_ I SMAftICU, _MI DSHIP, AWNE vERTICA L PRISMATIC COEFFICIENTS SHIP NO.913 WATERLINE BLCCK PRISMATIC MIDSHIP VERTICAL PRISMATIC 4A.445.6 052.6697.9C38.8327 8.389.6621.6955.9520.9086 1-1.776.70 69.7223.9786.9261 26.664.73C6.7411.9858.9231 35.551.7504.7585.9893.9043 44.438.77701.7767.9915.8871 53.325.190 ___l.7946.9929.8792

TABLE A-TV (Continued) SHIP NG.913 LOCATICN CF STAFICNS STATION LISTANCE FROM STA. 0 C.000 1 2.176 2 4.352 3 19.352 4 34.352 5 493 352 6 64.352 7 94.352 8 124.352 9 154.352 10 184.352 11 214.352 12 244.352 13 274.352 14 --------- 304.352 — _ 15 334.352 16 364.352 17 394.352 18 424.352 19 454.352 20 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 604.352 27 608.495 28 612.637 29 616.780 30 62 0.923

TABLE A-IV (Continued) SECTIOkPL AREAS WATERL ItES 4.445 8.889 17.776 26.664 35.551 44.438 53.325 STATICh AREAS (SQ. FT.) C,.CCC.COC.OOC.00C.COC.CCC.0Cc 1.CGCC CCOC.00C.000.000.00J 13.225 _2 _. CCC.CO.00C;. OOC.000 8.226 41.807 3 22.564 64.098 162.141 267.533 380.807 508.11C 668.348 4 54.6C8 148.123 362.205 586.505 821.126 1C73.378 1364.008 C. C6C 233.185 557.15C 90C0.061 1255.891 1632.071 2045.825 6 129.335 320.776 748.142 1202.444 1673.785 2165.794 2689.421 7 209.705 486.953 1C84.063 1711.321 2355.850 3014.884 3691.069 6 276.846 613.S964 1324.946 2053.58C 2793.805 3543.213 43C0.213 9 326.168 701.C05 1472.515 2248.680 3028.913 3812.632 4599.461 1C 351.312 742.911 1535.223 2325.623 3115.626 3905.630 4695.633 r11.. ----3- — 7 ' 5-2.287 1546.451 2336.454 3126.457 3916.461 4706.464 12 357.079 752.287 1546.451 2336.454 3126.457 3916.461 4706.464 -13 -5 —Y O-i 357.079 752.287 1546.451 2336.454 3126.457 3916.461 4706.464 14 357.079 752.287 1546.451 2336.454 3126.457 3916.461 4706.464 15 - 35i7.079 7-. -.52.287 1546.451 2336.454 3126.457 3916.461 47C6.464 16 353.635 747.589 1542.052 2332.124 3122.127 3912.130 47C2.134 17 336.819 721.323 1507.036 2296.817 3087.021 3877.025 4667.028 18 3C4.402 666.538 1421.544 220,3.528 2985.501 3774.049 4564.317 19 249.W 19 562.469 1251.483 1989.407 2752.484 3529.115 4315.474 20 i87.916 44C.644 1'016.992 1668.457 2374.725 3118.315 3887.100 21 123.971 304.786 732.825 1247.169 1852.108 2531.419 3264.142 22 68.392 176.928 436.043 769.93C 1220.143 1796.939 2459.666 23 44.25 11i9.317 296.470 531.159 883.529 1387.33C 1994.697 24 24.C43 65.167 162.484 295.86C 538.658 951.757 1485.985 25 6.704 16.424 37.517 7C.674 192.470 494.85& 933.271 26__.10-.000.000.0CCo 37.850 203.732 513.142 27.,CC.CO.000.00 0 27.772 167.427 447.531 2__. C 00C..0C...CC 9.522 95.643 316.128 29.C3C.0C0.0CC.000.OCC 40.733 181.552 30..0..000.0o0.oc3,.0o0.0o:.C O;

TABLE A-IV (Continued) SHIP NC. 913 INPLT VALLES REAC V',R[ LHP = I:,.., BE = 12.445000, INCH = 1H, LAMBDA = 42.857140 NEL = 5, NBV = 2, OSr = 14 L(1)...L(5) 1.2165CiE CC 1.8J185CE Cl1 1.524185E C2 1.692185E C2 1.738585E C2 LN(;)...LN(5) 2 4 16 4 4 -------------------- C( 1).. ~.(2) — 2.489CCCE..C. 1.45c3 iC -l1 Vi ( 1 ) ~ ~.VN (2) CFS(, O)... CF S 30, 7).OCCCE CCE C.CCOOCCE,:.CCOCCCE CO.COOCOOE Oo.0000E 00 OCOOE 00 OOOOOE 00 OOOOOOE 00.O CCC' L CC.CC CO:E 22.CCCCC5E tC 0C. 000,JCE 0o.OOOO0 OE 00.OG000 CE 00 5.00000E-OOOOOOE1.OC —CCE CC.CC 'OCCE C3.CCCCCCE 00.00'3CCCE CO.GOOCGGE 00.OGOOOOE 00 3.110000E-01 7.720000E-O1 2.1I100 C0CE —l- -1-.-11 C C C" 1.4C6'COE C' 1.593oC0-E 00 1.717000E O0 1.85400GE 0 — 2.190000E 00 2.925000E 00 6.73CCOCE-C1 2.'5^0CCE 0 C 3.124CCCE CO 3.435COCE CO 3.609000E 00 3.783000E 00 4.206C00E CO 5.015000E 00 L.3-..C-CE CC 3.Lc:'CC..2 4.729-CCE 02 5.264.CCE CO 5.488000E 00 5.725C00E OC 6.160COCE 00 6.932000E 00 2.360COCE CC 5.42,',CCE.C 6.220C0E - 00 6.9b9CCE 00 7.280000E 00 7.566000E CO 7.952000E 00 8.587000E 00 4.6800CCE CC 8.1CoCCCE 22 8.935CCOE CC 9.670COC0E CO 1.003000E 01 1.025400E 01 1.051600E 01 1.079000E 01 7.C3OCCSE CC 1..('4CCE,1 1.Ce27COE 01 1.13370CE Cl 1.157400E 01 1.1735COE C1 1.187203E 01 1.197200E 01

TABLE A-IV (Concluded) s8.868CCCg-E-CC... 1.136CCCE C1 l.1934C0OE-'1 `T.0. C1 -.22.., E 02r 1.232000E 01 1.2370CCE 01 1.242000E 0f 9.832GCCE CC 1.20000CE Cl 1.237CCCE Cl 1.244500E 01 1.244500E 01 1.2445COE 01 1.244500E01 1.244500E 01 1.CC43CCE Or-1 1-t.-21502S0E 21 1.244500E O1 1.244500E 01 1.2445CnF 01....1.244500E O1 1.244500E 01 1.24F500E O0 1.OC43CcE O1 1.2150CcCE 1 1.2445CCE Cl 1.244500E O1 1.244500E O1 1.244500E O1 1.244500E Ol l.244500E 01 1.0043021 01 L1.2f[5''0'E C, 1....'ez244500E 01 1.2445001"Cl 1.244500E fli 1.244500E 01 1.244500E 01 I.24,4500E 01 1.C0043CE 01 1.215CCE 01 1.2445CCE O1 1.244500E 01 1.244500E 01 1.244500E 01 1.244500E 01 1.244500E 01 1.00C430C-E 01 1.21500E 21 1.24450CE 01 1.2440'-E -! 1.244500E O1 1.244500E 01 1.244500OE 01 1.244500E 0 9.09200CE CC 1.20800CE C1l 1.4320CE Cl 1.244500E 01 1.244500E 01 1.244500E 01 1.244500E 01 1.244500E Ol "I"O' E 0- 1. 17000CE — 1.218300E 01 1.24040-0 O1 1.244500E 01 1.244500E 01 1.244500E 01 1.244500E 01 9.8140001E CC 1.2080000101 1.5110CE01 C 1.214400E 01 1.23250001 01 1.239500E 01 1.244500E 01 1.244500E 0 6.T4~~CCCE CC 9.200000E CO ~~~ 1-.C2C83C 01 1.1300001 01 1.18650001 01 1.214400E 01 1.2325000 01 1.244500E 0 7.8740-E CC i.C-o-oE-o....1511CCE C1 1.214600E O1 1.232000E O1 1.23950OE O1 1.244500E O1 L.244500E O 6.146}GCCE OC 9.2COOOOE O" O.c20 —'i l.....;oEoi.'i'86OOOE O1 1.2i3400E"0i...1.232000E O1 1.24500E Ot 4.21800CE CC 7.280000E CC 8.301001 CEC 9.719-OOE 00 1.074000E l01 1.146200E 01 1.192200E 01 1.228300E 01 2.4,3COCE CoC 5.C90GOOE OC 6.011CCOE — oo 7.367000E-00 8.861000E 00 116700E0 1.118800E O1 1.18350oE-01 oo1.05500CE OC 3.C2000CE C 3.584000 CO 4.5420 00 6.073000E 00 8.213000E.00 9.881000E 00 1.088900E O0 5-.o58"3-(C83,E-o 2.C6-00E CC 2.42-0001E 00 3.099000E 0-0 4..-40-50 —0 —0- 0 6,89T4C00O —00..OO 8.898000E 00 1.00500E -01 —.OTO —T' ----.T..M..-C"E-C..-6'OO 2 — -.626000E o0 -5-.31.40 o00-00 7.641000E 00 9. 035000E i 00 1.2100CCE-01 2.eC0000ooooE-01 3.11000CE-01 3.480000E-01 7 OOO.590000E-01 3.460000E 0 6.0 480O0E 0 7.591000E 00.OCoCoCE C.COOOOOE CC.OOCCCE -C..000COE O.OOOOOO0E o0 1.431000E '00 3.982000E 00 5.613000E 0 o- C - -:E oc.COOOCE CC.000000E o0.0000E 00..OOOOO-OE 0 1.050000E 00 3.60000CE 00 5.040000E 0.OCOOOCE oo.0COOOOE CC.0CCOCE CCC.OOOOOOE O0.OOOOOOE o00 3..600000E-01 2.680000E 00 4.120000E 00.GCOCCCE OC.COOOOOE OC.CCOCOOE oo00.00OOE 00.OOOOOOE 00...OOOOOOE 1.540000E 00 2.860000E 0.OOOOCCE CC.0C00C00 CC.00E CCO.0.OOOCCE 00.0000000 00E. OOOOCOE 00.OOOOOOE 0

TABLE A-V CURVES OF FORM FOR THE SERIES 60, CB =.80 CALCULATIONS FOR THE CURVES OF FORM ANID BONJEAN CURVES SHIP NO.932 R. A. YAGLE, H._C. KIM....... BASIC DIMENSIONS............ THG. Q_.TH BEIWEEN PERPENDICULARS IS 600. OCG FEET THE MOLDED HALF BEAM IS 46.154 FEET THERE ARE 5 DIFFERENT STATION SPACINGS ALONG THE SHIP THERE ARE 2 DIFFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LOCATED AT STATION 14 CALCULATED ON 8/22/62

TABLE A-V (Continued) WATERPLANE CALCULATIONS SHIP NO.932 CF IS 'IN FEET FCRwARf,' (+)OAT(-OFMDHP WATERLINE WP AkREAS CF (FROM MID.) TONS PER INCH WV COEFF. TRANSV.__I. COEFF. LONG. I. COEFF..000 32140 23.576 76.523.58C3.34'.48.35700 - - - -- - - - - - -- ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ '- - - - - - - - - - - - - 4.616 41~22 21.491 98.144.7443.59963.53233 9.232 ___ 4i73 20.374 102.556 ___.7777.65327.57987 -18.465 - 4'670 17.108 _1C6.833.81 02.7 229.63474 27.16918 4L371 11.968 11C.4C8.8373.73866. 3 ---4 --- —------------— 6883 36.931 4C;471 2.357 115.408.8752.77548.77998 46.164 5:331 -4.953 - 119.835.9088 _ _.81523.86215 55.396 __ 51655 -7.496 122.987.9327 __.85;'86.91897 MOLDED DISPLACEMENTS SHIP NO.932 ALL VALUES ARE IN LONG TONS WATERLINE DISeP. SALT WATER DISP. FRESHWATER 4.616- -4917 4780 9.232 1 C 5 5 5 13262 18.465 ______ 22211 21594 27.698 34252 33300, 36.931 46748 45450 46.164 59755 58124 55.3Y~6 73249 11214

TABLE A-V (Continued) LONGITUDINAL AND VERTICAL CENTERS OF BUOYANCY SHIP NO.932 VCH IS IN FEET ABOVE THE BASELINE WATERLINE VC8 LCI3 4.616 _2.514 22.347 --— 9.232 ---------- 4.826 21. 570 18.465 ___9.554 20.144 27.698 14.316 18. 22 2 36.931 19.140 15.346 46.164 24.031 11. 673 55.396 ~~~28.949 8.314 TRANSVERSE ND LONGITUDNAL M~rACENR IC HE IG H TS SHIP NO.932 _ ALL VALUES ARE IN FEET ABOV-E THEBAS.E_-L.INEI-,WATERLINE KM TRANS. KM LONG. 4.616 80.317 _ ___3449.201 9.232 __68.656 2399.014 18.465 __ 42.601 1248.936 27.698 37.347 894.048 36.931 36.894 718.138_ 46.164 38.606 643.369 55.396 41.454 587.708

TABLE A-V (Continued.) MOKtENT TO TRIM ONE INCH AND CHANGES IN DISPLACEMENT FOR A ONE INCH TRIM AFT SHIP NO.932 THE MOMENTS ARE IN FOOT LON6 TONS THE CHANGE IN DISP. IS IN LONG TONS _WATERLINE MOM. TO TRIM 1 IN. CHANGE IN DISP.___ 4.616 ___ 2353.837 -3.515i _____ 9. 232 _ -38 23. 271 -3.482 ____ 18.465 __4185.048 -3.046 ____ 27.698 _____- -4538.449 -2.202___ 36.931 _5142.671 -.453 46.164 5684.491.989 55'.396 ____6059.123 1.536 ______ BLOCK, PRISMATIC, MIDSHIP, AND VERTICAL PRISMATIC COEFFICIENTS --- —--- SHIP NO.932 WAT[K'LINE BLCCK PRISMATIC MIDSHIP VERfICAL PRISMAlIC 4.616 -—.6732 _.7221.9322.9045 S.e?32.7 225 __.7451.9697.9290 1P.!465.7601.7711.9857.9383 ___ 27.498 7 78 15 ___.789C.99:5.9-334__ 3f6. 931.7999 fr.8C57.9929.9142 _ 46. 164 -.8184 __.823.1.9943. — 55.396 __.8356 __.8396.9952.8959

TABLE A-V (Continued) SECTIONAL AREAS FRC' eCNJEAN CURVES ShIP NO.932 LOCATICN CF STATICNS STATION DISTANCE FROM STA. Q C.COO 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 10 134.352 11 214.352 12 244.352 13 274.352 14 3-4.352 15 334.352 16 364.352 17 394.352 18 424.352 19 454.352 20 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 604.352 27 608.495 28 ___612.637 29 616.780 30 62_.923

TABLE A-V (Continued) SECTILNAL AREAS WATERLINES 4.616 9.232 18.465 27.69~ 36.931 46.1i4 5:3.39o STAT ICN AREAS ( SC. FT.) C.020C.00O.00C. OOC.;OS- 0 0.0]'] 1.3%". OO0. 3COC.gO. 00.*O.' *21.433 2.C.0. _.,.;_ 15.b35 75.446 3 54.165 148.802 364. 87 589.564 824.485 1 _8C3*.961 1375.582 4 112.236 288.175 689.238 1113.787 1551.562 23 8.984 2504.3305 5 167.173 406.324 937.947 1507.84C 2397.193 2705.061 3345.6J6 6 214.765 502.481 114.334 1817.157 2516.318 3232. 751 3973.902 30'4.183 667.022 1434.72C 2233."71 3646.618 3675.25. 471.175 8 366.326 774.082 1626.948 245C.C89 3299.770 4151.886 5034.215 9 393.237 319.166 167:.453 2521.926 3374.327 4226.:)66 5378.844 1Cl 397.2C7 826.365 168". 133 2532.391 3384.649 4236.908 5389.166 11 397.207 826.365 1680.133 2532.391 3384.649 4236.908 5389.168 12 397.207 826.365 1680. 133 2532.391 3384.649 4236.9C8 5 C89. 166 13 397.207 826.365 168.. 133 2532.391 3384.649 4236.9C8 5.89.166 14 397.207 826.365 1680. 133 2532.391 3384.649 4236.9 8 5389.166 15 397.207 326.365 1683.133 2532.391 3384.649 4236.9_8 5789.166 16 395.724 824.122 1078.477 25330.735 3382.994 4235.252 5087.510 17 385.522 809.136 1664.310 2516.854 3369.113 4221.371 5 73.629 18 353.308 755.332 1592.258 2442.401 3295.297 4147.555 4999.813 19 30r.514 662.571 1441.803 2259.702 3395.974 3941.978 4792.802 2C 232.653 531.958 1199.594 1939.788 2726.307 35.41.i45 437n.773 21 159.312 379.408 893.075 1498.937 2189.181 2943.28J 3745.07.22 91 621 228.594 555.083 972.617 1513.30.5 2173.514 2913.847 23 63.243 159.243 384.375 685.125 1127.51C 1719.166 2437.706 24 34.483 88.519 214.317 392.791 709.055 1214.u65 1828.668 25 8.742 21.948c 51.u1l 93.840 257.075 646.492 116.323 26 00;.: 03. J;0 C 56.799 279. 08 646.98 -27 CO0.0.c 30. Cr 36.547 205. 761 524.569 28.0. 000. OOC.5C0 12. 9 1 5 119. 313 379.20 1 29 00. GO.OO, C. -O] 52* c21 229.172 3.0.3.:). J0'..0C. C; j

TABLE A-V (Continued) SHIP NC. 932 INPUT VALUES READ WERL _______ LI3P = 168.00COC0, BE= 12.923C000, INCH = iB, ___ LAMBDA= 42.85714 N8L = 5, ~ NBV 2 OST = 1 LMl)... L(5 1.218500E 00 1.83-1850E 01 1.524185E 02 1.692185E 02 1.738585E 02 LN(l)...LN(5) 2 __4 16 4 4 2.585CCCE 00 1.5!-d100E 01 VN(1)... VN(2 2 5 UFS03,U)... OFS(30,7).OCOCOOE (iO.C~000CE 00 -.OCOOOE 00."00000G 0 E00G 00.00000GB -----— 0E 00.OOOOOE 00.00clc0oi; 00.(.930UOE 00 OOOOOQOE 00.OQDOOCE 00.0OOGGOE 00', c.COOGGE 0C.00000OE 00 7.800COOE-31.00000GB 00 C1.CCOOOCE 00.OCOCOOE 00.000000E 00.G000000E OC.ocOGEc.600E0 1260E0 5.820l00EB-!Ol 2.46i3000E CO 3.037000E 00O 3.334000E 00 3.450000E 00 3.69600GB 00 4.110000E 00 4.885000E 00 1.758C0GCE 00' 4.710000E 00 5.622000E 00 6.281C00B G0 6.526000E 00 6.746C000E 00 7. 158300E 00~ 7.922~000E 00 3.14200GBE 00 6.5a3000B "J0 7.508000E 00 8.4u00000E 00O 8.801O00B C 0 9.0460CC0 C, 9.4"800CE 00 1.0067f00E 01 4.64700GE 00 8.Cck-,OOOOE 00 9.072000E 00 1.000200E 01 1.0442G0B 01 1.07260GE 01' 1. 1C~130 00E 0 1 1.150100E 01 7.64600CE 00 l.C'tb0U0B )l 1.120400E 01 1.190200E 01 1.2251C0E 01 1.2458CQ'E 01 1.260000E Cl 1.271600E '01 9.919000E 00 1.?-'2CCCE 01 1.243200B 01 -1.270300B C,.l 1.284500E 01 1.291,'00EB A-; 1.29233CE 01 1.292300E 01l

TABLE A-V (Conclud~ed.) 1.0875CCE 01 1.2730OCE 01 1.285800E 01 1.289706E 01 1.2923V'0E Cl 1.2 92 3 0,3 I I1. 29230CE 0 1- 1.2923'%0 3 1.09385CL.E 01 1.26200CE 31 1.22301Cl 1.923'00A1 01 1.2923".1-E I1 1.2 92 3 D 0 I1 A 1.2923,.3-E1 1.2923101 3 1.3985001 01 1..2,00001C 31 1.29230C01 01 1.29230GE 01 1.2923CGE Cl 1.2923C001' Cl — 2-2 --- 1-. 29 2-3 0 31 1.09850%, 01 1.2b52OC0E 01 1.2923CCE C1 1.2923301E Cl 1.292332~E 31 1.2 92 33 LI -no3!E01 129301 1.098500E 01 1.2b2000E 01 1.29230E01 01 1.292300E 01 1.292303E1 C 1.2923CQE C1 h292)33E 01 1.930 01 3 1.0985001 01 1.2~i20CGE 01 1.2923C00E Cl --— 1.29233)~101 C1 1.2 92 30",31 E l 1. 292 3;006-, J 1 129 1 O12230 31 1.098500E 01 1.2c'200CE 01 1.29230 C.92300E 01 1.2923031E 01 1.292300 1 1.930 0.92'O3 l.0941C01 01 1.21/00001 01 1.292300E Cl 1.2923DUE 31 1.292320E -Dl 1.2923~C)E Il 12933 C, 1.29230E1 -1.052400E 01 1.2`(000E 01 1.287100E 01 1.930 l 1.2923C0E Cl 1.292303C 1.920EO- 1793E13 9.425C001 00 1.1(30001 31 1.23800CCE C01 1.28J700E 0 1 1.29233Y3E 31l 1.292300E 1.2923031 01 122013 7.53600CE 00 1. 0 3(10001 0,1 1.1269C01 01 1.21610CE 0-1 1.2561U00E Cl 1.2768-1001 1 1.28710-01 01 1.2923"0 3 5.3390001 00 8.42?3000E 00 9.382,C00E 0 0 -.0739301E CI" 1.163130E 3 1 1.2161vjEA I2500 01.80011 3.3170C00 CC 6.0L'iOOOE CC 7- 7.OO 4CCO -E -CC -8-.-477C-0CE 00 9.8860oC.-E CC 1.099700 1- --- 1- 182C01 f 01 --- — AE3 1.60400CE 00 3.713000E -00 4.355C00 00 5.5800100 7.37CO 0.2i1257900TT 1M 0 1 F 1.O11COGE 30 2.6230001C CC 2.998000E CC 3.851000E CO 5.4920001E CC 7.9730,00E CO 9.8730001 03 I.85O3 4.9400001-01 1~~~.4700CCE 00 1.68001 -C —.1450 01 CO -3.3990C-01I G0 6.'500D00 -----— 583 ----— ~ C-1sl00 -1.4300001E-01 3.6C133001-01 4.14OuOOE-Cl 4.5 2 Q00001 - Cl 9.18000CE-C1 4.562003E 00 7.3~156000OE 00 8.322000E3.OOOCOCE 00.CC COCCI 00.0003006 20 -.COOCOOI 00.0030201 00 2.06700oE 00 4.1823001 CO 6.151000100 -----.0000001 00 C.002000E 00.oOOOCE C~o. COOOOCE,- 00 CE 00 20.306000E0.330 0.2000.0000001' 00.C(3300E 03.000C001 n0.03o0 0E CO.0'303CE 00 4.70000CE-21l 3.120000OE 003 4.560300E0.OCOOOCE 00.1( '.0O0E CC.OOOCOE 00.000000E nO.OOOOOCE 00.0 00 1 0. 9000031. 00 3.400000E0.OOCC0,E 00.Cc "',OCE CO.OGOCCOE CC.CO0000E 00.0 G 00D3 01 00 Oi000000CE -3.3-0300331 00.000000E0

TABLE A-VI CURVES OF FORM FOR THlE U OF M "V'T SERIES, CB = 60 CALCULATICT\S FCR TIE CURVES CF FCPIA AND bCUNJEAN CURVES SHIP NO.924 R. A. YAGLE, H. C. KIM EASIC CIMENSICNS THE LENU.TF- BETWEEN PERPFNDICULARS IS 60OC.COCl- FEET_ ---— TH-EMCLUEE HALF REAP IS 4C.;OO2' FEET ---— TH-ERE AkE 5 DIFFERENT SEATICN SPACINUGS ALONG THE__SHIP THERE ARE 2 FIFFERENI '6ATERLINE SPACINGS UP THE SHIP RIESHIIN IS LCCAIFU AT STATICN 14 CALCULATED ON 8/22/62

TABLE A-VI (Continued) -6ArFRPLANE CALCULATICNS SHIP NC.924 WATERLINE WP AREAS CF (FRCM MID.) TCNS PER INCH WP COEFF. TRANSV. I. C(TFFF. LCN6. I. COEFF..cCO 1 33172 -12.640 31.839.2786.3841C0.C113 4.000 2 23024 __-9.874 52.439.4588.246833.22337 8.000 25438 -7.580 ____ 60.6 7.5300.33836.27478 15.999 29533 -5.125 _7C.316.6153.44799.35610 23.997 3A2918 __-7.760 78.377.6858.53529.44423 31.996 37208 -18.338 88.590.7752.63599.59496 39.994 4C272 -19795.885.8390.71196.72C09 3 47.993 42364 -20.704 100.868 __.8826.76876.81418 ALL VALUES ARE IN LONG TONS WATFRLINE OISP. SALT WATER DISP. FRESH WATER 4.CCC 2073 2015 8.0cc 4835 4700 15.999 11185107 23.997 _1335 72 31.99;6 26331 25599 39.994 35207 34229 47.99;3 44668 43427

TABLE A-VI (Continued.) LGiNGITL(YINAL' A-NW-VERTTC-AL -CENTERS CF BUOYANCY SFI-I NO.924 VCHb IS.IN FEET AF.CVE T I-E BASELINE INATERLINE VCB LCfN 4. 02 2.333 -1C.992 8.0cc 4.382 -9.7C06 I15.999g 8.712 -7.693 23.99;7 13.132 -7.C77 31.996 17.679 -8.764 39.9934 22.302 -11.756 47.99;3 26.899 -13.856 TRANSVERSE ANI) LONGITUOINAL METACENTRIC HEIGHTS SHIP NO.924 ALL VdALUES ARE IN FEET A6OVE THE BASE LINE IAATERLINE KM TRANS. KM -LONG. 4. CC 31.83 __ 2009.810 8.CCC 41.951 1879.764 15.99.9 30.838 1019.450 23.99 7 31.004 812.2 11 31.996 ~~~~~~~32.548 711.810 3 9. ~9G4 35.515 71 7. 572 47.9393 38.557 690.932

TABLE A-VI (Continued) MCMENT 10 IRIM CNE INCH AND __ChANGES INDISPLACEMENT_ F OR A ONE INCH TRIM AFT SHIP NC.9124 ~7F~OMENS AR INFOOT LCNG TCNS TIE CHANGE IN OISP. IS IN LCNG TONS WATERLINE __ MCM. TO TRIM 1 IN. CHANGE IN OISP. 4.0CC ~~~~~~~~5 7 7.8 71.863 8.000 ~~~~~~~~157).165.765 15.999 2034.846.601 2_ 23. 997 2538.45n0 1.,14 31.996 339762.7 CE 39.99 4119.590 3.5 C 3 47.993 4652.459 3.461 ___ ~~SHIP NC.924 IATERLINE BLCCK( PRISPATIC MIDSHIP VERTICAL PRISMATIC 4.2300___.3778.4527 _.8345.8234 8.003 __ __ ~~.44317.487b.9033.8315 _ 15.999 _ ___.5298 ~~~~~~~.5350.9529.8286 23.997.5571.5749.9690.8124 _ 31.996 I.6 001..6144.9767.11 39;.994 _.6419.6541.9814.7651 _ 47.993.67e7.6894.9845.7689

TABLE A-VI (Continued) SEC-TIONAL AREAS FRCH BCNJEAN CURVES SHIP NC.924 LCCATICN CF STATICKS STATICN LISTANCE FROv STA. 0 c.Oc-C 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 1C -184.352 11 214.352 12 244.352.13 274.352 14 304.352 15 334.352 16 364.352 17 394.352 18 424.352 19...........454.352 2C 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 6C4.352 27 608.495 28 612.637 29 616.780 3C 620.923

TABLE A-VI (Continued.) SECT ICKAL AR EAS __ ATILRL IN1ES 4.202. C CC, 15.999 23.997 31.996 39.994 47.993 STAT [CK AR~EAS (SC. FT.) 1.02) ~~~~ ~ ~~~~ ~ ~~~~~ ~~.0CC.CO.00 20 4.999; 3 8.4 69.2.202G.CC C COC C.00.00 13.807 66.607 3 2.3 1 7.333 26.346 54.150 97.333 174.116 2 98. 297 4 5. G02 16.CC3 55. 548 118.299 21 1.;92 348.829 542.651 5 9.119I 2 E. 6617 94.0~19 1 9 5. 90116 339.54 7 5 3 7. I 3 797.751 6 13-.976 44.09 5 141.537 286.368 4 84. 352 742.572 1- 67.038 7 26.857 83.429 2 5 5.74 5 50)1.13 C 814.788 1194.768 16'39.783 8 51.333 14E.381 418.044 770.648 1 196. 143 1685.294 2227.626 b.4 0,: 233.809 608.152 1065.499 158 5.2 15 2155.82E 2762.528 10G 133.762 329.524 524.037 1348.862 1936.233 2554.884 3191.175 *IY TW~~~~~~~.714 426.857 ~~~~~~~~~~ 983.135 1587.218 2 2 12.39 2 28491.730' 3492.125 12 228.809 5 10C. 476 -1118.238 1749.649 2388.32C 30l28.477 3668.305 13 255.69C 55.38 1192.329 1832.191 24 72.25 2 3112.oj81 3751.909 14 267.C48 578.095 1219.639 1862.272 2500. 105 3139.929 3779.757 13 26C.548 567.524 1 2C6. I115 1847.272 248 7. 101 3126.929 3766.757 lb 240. 7 38 535.333 -~116 4.551 1806.175 2446. 141 30,85.972 3725.798 17 2C1.78~~~~~~~~ 477.428 1C75.382 ~~~~~~~~~ 1 706.84C 2347.75V 2987.669 3627.497 18 162.595 388.476 9225.900 1526.269 2 159. 132 2800.526 344C.355 19 ---..... 95524 73..3.21.717933 2 517.8-14- 3158.447 20 83.095 209.9C5_ 533.781 967.989 1519.415 2141.494 2782.165 21 51.571 134.286 346.278 650.271 1100.667 1673.231 2285.550 22 27.738 75.333 193.97b 361.996 663.561 1141.713 1688.996 23 17.524 49.905 129.795 237.72e 463. 21 1 8 75. 852 1375.334 __24 1C0.95 _28.762 72.944 132.791 280.955 612.943 1256.863 25 ~~~~~~ ~~~~3.2 86, 8.00,2 18.41I 32.932 112.346 351.589; 721.237 26.C0CC -___ c.002.000 ___.-U-00 27.614 161.066 428.114 127. 002.000 000.00 0 16~.664 116.884 343.843 28.00C _.000C.000.0CC 7.856 7 8.2 72 2 63. 52 4 29."CC.0.00C.000. OO00 2 7.8 52 132.405 Oc000O.02 00 C.00CC.000 'coo U-0

TABLE A-VI (Continued) E PRCRP 2C ZC SYS I EN.f. S PR INKT 2 O> S KI P 6 C CCOQ* SC A RDS &O* S P LK j - &*. ~.EX I T *%OC C * IR A P 0 `2CC (MA IN ) I0("I.1I1CH 47(63 1*.KE AU S2.b0.P9INI 52231* P R SLIT 5 2 i4 * P C C I 1 53A2.1 3C1 5.3 C3 1 ZLR0 5 3 12 3*.3 3 11 531 5 1.LIRR 53174. BNE'CC 531255., (t2RCC)' 533M1 (S5081) 14712 (ERAS) 77776 21401l LOCS. CAN fE SAFELY USEI2 IN EXKPANDFING PRCG. ((O'CTAL) SHIP NC. 924 INPLT VALLES 3[EAC iNERE LOP = 1658. 227~- CL =1 b 1 1. 270, INCH = 1B, LAM~BUA = 42.8514 NBL = ~~~~~~~~~5NV =~ CI ST = 1 4 1.2lb520CE 00C l.3130 1I.524185E 02 1.692185E, 02 1.738585E 0'_2 ___- 2 ~~~~~~ ~ ~~~~~~~~~~~4 1 6 4 4 2.24CCCCE CC 1. 4 3 CFK1E I1 VI\ I H. Vf\ 2) - F-S(3, ')...CFS(3(,7).COC.COCE cc.co:: 200 7 ~~~~~~~~~__.CCCkCCE CC.CC2OLC CD.C 0C'2oE C. XOCOE 2 072E0.OOOJOCE 0. CCCC CUE GCc.C CCCE 02.CCCOCCE CC COLCOCE C C'.OgQ0r'E 20.220 C 2. 1200O 1.070000E 3.C C C' CE 22 c.C2?22E 0_ 0.CCCCCLE 20."C;C00~U E Co.OoQC E C..2(05.0222CE-=I 1.2903_00E O 5.300C" CC0E - C2 -1.2 JC0Eo- 1 2?.400000CE-01 4.100L00E-01 5.6 0 00 Ck~,E-CLI 1.2000201 E 1. 7 40 0 0JCEJC 2.6300D0E 33 Z _C 02CE-0Ln 2. L,"D 0CO0L-A 4. 902200 7L'% - 01 8.9 LlG L0 LI I 1.3 1 J0OE 00C 1.9 8 60oL J0 2.8 8000E 3.930030CE 1.0.C C:C C U-CL-0 5.2:..oCF- I 8.3%-CCC U[-2 1 1.46OCCCE C'' 2. I11OX, F CC 2.9500CCk E 0C 4.C 0220 E 00 5.140)OOE 00

TABLE A-VI (Concluded) 1.5 CCC0 C0E1- 01 8.0-30 0 001-0"'1 1.2800001 00 2.1000001 00 2.9800C0E CO 3.9704L0CCE: 5.0900001 00 6.2800100E 0 2.4CCCOCE-01 1. %00OE C0 2.3200CCCE CO 3.67OCCCE 00 4.90-0000E 00 6.nO7000iOL JO 7.2300001 00 8.3400001E0 6.5rOCCCE-01 2.7130001 CC 3.8500001 00 5.4700OCE 00' 6.8300COE 00 8. 04 E~ 2 0 9.1050300"01 00 9. 910000E 0 1.600CGC-E CkO 4.34000CE CC -5.5-90CCCE 00 7.3500001 00 8.57OOC0E 00 9. 590J'0 1-1,.C3400DE 01 1.086000E 0 3.C3OCC'CE 0f' 6.0350001E CIC 7.370000E 00 9.020C00E 00D 9.9300001E 00 1.0 5900 E A 1.1-0-300TE 01 1.1199001E0 4.81CCCCE C0, 7. 760000,11 CO 8.970C00E 00 1.025C00E 01 1.0%-7 7 C0001 Cl 1. 10C8 02i31 0 i1 1.119903E 01 1.119900E 0 6.45000CCC OlC 925V00001E 00 1.01500CE -01- 1. 0890001_ 0 1 1..113000E 01 1.1 19 90 E l.1199C(0E 01l 1.119900E 0 7.5100001 CC 1.0080001 C1 1.3OeOOCCE C1 1.115C00E 01. 1.1199C0E 01 I. I199,10E 031 1. 119900E 01 1.119900E 0 7-.9-50-C C E 0Cc ---- 4.c43 0C0E 0 1 1.LC 3CD 000E 01I 1.1 199001 01 1.119900E 01 1. I19 900'Q'E Cl 1.1199C0E 01 1.119900E 0 7.6700001 CC l.C250COC 011 1.CvO20CCI Cl 1.1199001 01 1.1199001E 01 1.1 19900 CI E1 1.1199001 0 1 1.119900E 0 6.82CCCCE CC 9.7C0000E 00C 1.C59000CE 01 1.117CDOE Cl 1.119900E 01 1. 1 19 9 0J)E 0)1 1.1199001 01 1.119900E 0 5.5C000CE CC 8.700000E CC 9.8300C0E CO 1.0'820001 01 1.1180001 C1 1.1199301 01 1.119900E 01 1.119900E 0 '4.C6CCCCE 00 7.C60030E 00C __8.490000E 00 1.,0030 001 01 1.08702CtE 01 1.11990CE1 01 1 1.1199001 01 1.119900E 0 2.750CC01 CC 5 AC. 000C01 C C 6.6100001 0C 8.580C0CE 0)0 1.013000EC 01 1.1030001 0j'1 1.1199001 01 1.1199001E0 1.7300001- 0C 3.e800001 E 4. 7 90 0001. 00 6.5300001 00 8.750000E 00 1.04 700:.0; 01 1.113000E 01 1.119900E 0 9.4000001-01 2.'-1000CE C0 3.1200001 00 4.2900001 00 6.5300001 00 9.3300001 CO 1.043000E 01 1.090000E 0 3.8COCCCOE-C11 1.4400001 CC-, 1. 170001_00 2.370000E 00 3.6200001 00 7.35000C1 00 9.0500001 00 9.980000E 0 1.800000E-01 9.6000001E-Cl 1.220000E UU 1.530CO0E 00 2.330000E 00 6.0500001 C0 8.1200001 0 0 9.200000E 0 9. ~0000001 -02 5.60 E-31-1 6.9C0CC000 _1-1 8.300000E-01 1.240000E 00 4.4900001 00 7.OIOOCOE 00 8.330000E 0 7.0000001~C-02 1. 50C0OCE-C1I 1.7COCCCE-01 1.900COOE-01 3.4000001-01 2.8300001 00 5.5900001 00 7.150000E 0 __.CCOCCCE OC.0002 CC OOOO000 00.000000E 00.0000001 00 1.1600001E 00 3.7500C01 00 5.450000E 0 __.0000001E 00.,0000001 CC.0000C0E 00.0000001 00 _.0000001 00 7. 0000 001E-0I,1 3.C90000E 00 4.730000E 0.0CCCC'CE:CO.00000E1 C.CCOOCOF 00.0000C0E 00J.0000001 03 3.3000001E-01 2.4300001E 00 3.960000E 0.0001CC.0031C.00010 00010.000000 00.0C00000 00 1.17010~001 00 2.520000E 0.0000021 00.CCOOOOL ~~~CO.C0002001 00.0000001 CO.0000001 Oo;.0000001V', C0.0J000001 00.OOOOOOE 0

TABLE A-VII CURVES OF FORM FOR THE U OF M "V" SERIES, CB =.65 CALCULATICNS FCR THE CURVES CF FCRM AND BONJEAN CURVES SHIP NC.959 R. A. YAGLE, H. C. KIM BASIC CIMENSIONS __ ________ TFE LENGTH BETWEEN PERPENDICULARS IS 600.000 FEET THE MCLCEC HALF BEAM IS 41.379 FEET TFERE ARE 5 CIFFEREkT STATION SPACINGS ALONG THE SHIP THERE ARE 2 DIFFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LCCATEO AT STATION 14 CALCULATED ON 8/2_/62

TABLE A-VII (Continued) 14TW CTUE~TN SHIP NC.959 WATERLINE WP AREAS CF (FRCM MID.) TONS PER INCH WP COEFF. TRANSV. I. CCEFF. LONG. I. COEFF..0 00 16163 -5.363 38.484.3255.11612.12691 4. 137 2 5 611 -3.819 60.-978.5158.31231.26486 8.275 29207 -1.669 69.540.5882.4C992.32822 16.551 33053 -.356 78.699.6657.51086.41475 24.828 36)27 -2.C66 85.778.7256.58741.49844 33.1C4 40%.055 -12.774 _____95.369.8067.67777.64847 41.381 A2712 -16.989 101.695.8602.74364.76002 49.657 44456 -17.178 105.847.8953.78700.84088 --------------- -—. —. SHIP-NO.959___ ALL VALUES ARE IN-LONG TONS )WATERLINE DISP. SALT WATER DISP. FRESHWATER 4.137 2527 2457 8.275 5825 5663 16.551 13274. 12905 24.828 21459 20863 33.104 30433 29588 41.381 40246.39128 49.657 50571 49166

TABLE A-VII (Continued) LCNGITLCINAL AND VERTICAL CENTERS CF BUCYANCY SHTIP NC.959 -C IS IN FELT ABCVE THE BASELINE tA[EERLINE VEb LEB 4.137 2.363 -4.551 8.2 7 4. 50 ~'3 -3.563 16.551 8.934 -1.981 '4. 82P 13.431 -1I. 609 33.1:4 ~~~~~~1 8. 74 2 -3.169 41.3E1 22.726 -6.141 ---- 49. 6 517 27.381 -8.437 TRANSVERSE AND LCENG-IT-ULINAL IVETACENTRIC HEIGHTS SHIP KC.959 ALVALUES ARE IN FEET AbOVE THE BASE LINE ~%ATERLINE KV TRANS. KV LONG. 4.137 39.573 214G,.:37 P.2 75 47.918 1939.8660 16.551 33.939 1061.329 2 4.82 i: 32.7Y7 836.C34 33.1C 4 33.670 715.106 41.311 ~~~~~~~~36.362 708.493 49.657 39.287 667.C19

TABLE A-VII (Continued)?vCYMLNT TC TRIF CHE: I NCH AND CHANGES IN CISPLACEIAENT FCR A ONE INCH TRIM AFT SHIP Nc.959 THE MOMENTS ARE IN FUCI LCNO TCKS, THE- CH4NGE:- IN LISP. IS IN LONG IONS WATICRLINE mom. To TRIM 1 IN. CHANGE IN LISP. 4.137 7503.2C4.388 E.~275 194.3-.177.193 16-5151 2451.663.047 24.828 2946.390.295 33.l104 3833.279 2.03C 41.381 4492.625 2.879 4.6 5 7 4970:.6C6 3. C3f0 -ELOCK, ~~~PRISIPA1II, MISI, L~TCLRStTCCOEFFICIENTS _________________ S HIP N O.959 6ATEfLINE BLCCK PRISMATIC MIDSHIP VERTICAL PRISMATIC '~~~.137 ~~.43C5.5C4C.8542.8346 F. 27 5.4961.~5408.9174.8435 1U.551.5653.5878.9617.8492 5~P.~~~~609;2.6251.9747.8397 33. 104 ~~~~.6480.6606.9810; ~ 3 41.381.6856.6961.9848.7 9 73 49.657 ~~~~.7178.72 71.9873.8018

TABLE A-VII (Continued) SECTIONAL AREAS FRCfP 8CNJEAN CURVES SFIP NO.959___ LCCATICN CF STAiICNS STATICN DISTANCE FROtF STA. 0 C.~~~~~~~~~~~0 CC 1 ~~~~~2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 LC ~~~~184.352 11 ~~~~214.352 12 244.352 13 274.352 14 324.352 15 334.352 16 364.352 17 394.352 18 -424.352 19 454.352 2C-484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 60D4.352 27 608.495 28 612.637 29 616.780 3C 620.923

TABLE A-VII (Continued) SECTIOIPAL AREtAS 'WATERLINES 4.137 8.275 16.551 24.826 33.104 41.381 4j.657 STATICN AREAS (SQ. FF.) 6..CC.CC C.0ID.00c. COO. CC.,C1.... CC3.06C.0CC.CO00.CO 9.360 2 ___ __. CCC. CCC. 0 CC. CC 1. 232 13.3, 1 5C.939 3 4.852 13.1;2 4C.438. 83.902 149.581 245.844 387.873 4 7.33S 23.249 81.31t 174.278 308.868 499.226 752.613....5 12.457 41.316 13S.971 289.331 496.113 1tI'L.27C 1111.889 6 19.56S 63.580 208.254 421.668 705.303 1066.559 15'2.106 7 43.365 129.878 389.2.29 734.129 1155.784 1646.9'01 2193.736 b E7.429S 235.443 620.301 1092.0C4 1631.626 2215.943 2825.561 9 136.636 344.792 85C.2494 1426.199 2043.384 2683.428 3335.7308 10 19C.680 452.879 1050.723 1693.121 2355.60C 3028.602 3706.451 11 24'.931 544.81I0 1199.281 1873.091 2554.280 3239.2C3 3924.215 12 275.533 6CC.863 1282.24) 1967.90C 2652.969 3337.963 4022.836 13 290.773 624.782 1313.199 1998.743 2683.676 3368.61. 4'53.543 14 29_2.474 628.262 1317.231 2002.623 2687.556 3372.489 4,57.423 15 288.783 622.93; 1310.263 1995.915 2680.849 3365.7b2 4050.716 16 274.251 599.346 1278.81C 1965.744 2650.677 3335.61C 4020.544 17 243.640- 546.977 12r3. 15C 1882.979 2569.164 3254.097 3939.031 18 200.89C 466.060 1C70.597 1729.075 2409.890 3095.838 378C. 772...19 14 7.989 360.613 - 877.4 -.. 1482.121 2143.201 2827.434 3512.939 20 1C2.196 25E.062 _ 656.325 1161.827 1768.864 2440.486 3127.360 21 61.619 166.682 440.G36 807.30C3 1311.968 1939.400 2601.819 22 _ __ _32.297 91.281 245.841 46;0.161 811.722 1349.227 1962.540 23 21.481 61.609 162.254 30C.884 564.991 1C27.929 1583.760 24 11.CC09 31.741 84.651 156.676 331.909 695.580 1165.286 25 4.103 9.477 21.051 38.48C 132.911 389.687 761.214 26.CC C _ 00.GO.00. 00( 32.515 179.126 452.351 27.CC.OC.00. COO 14.287 115.722 349.925 28.C CC.0CC.OCC.OC 5.912 74.488 257.062 29.Cco.00 C. C.Gc.000 30.051 143.655 36 000._00 00 ____ __. 0.00o.o000.'.oo.o.

TABLE A-VII (Continued) SHIP NC. 959 INPLT VALUES RLAC WLRC LIUP = 16b.CCCCCC, BE = 11.586006, INCH = H LAMBDA 4281C N eL, = 5 NBV = 1 OST = 14 1.1SC CC '- 1.EO-5CEC 1. —2-4 1 —8-5E C2 1.6921135E 02 1.738585E C2 2 __ _ 4 _ _ _ 64 4 2.317CCCE.CC 1.3c9)4rCCE 01 Vl\(1)...VN(2) OFS(%J,C)....CFS(30,7).OCOCCCE C, C- d 0.C -CCE- CC,.O0-0- CJCC CC E.OO-CCOCE 00.OOOOCO0E 0Cm.0000000E CC';.000000E 00.000000E0.0CCICCCE CC.Cl07,cDCCE C.C Co 0C00E CC.0C0 00C0C 00 CC 000000E~ j 00I.OCOCCO1, E CA i.0G0000E 00 3.80000E-1.0COCCCE CC.C( CCCCE 0Cc.OCCCCCE CC.QOCCCCE 00.O00Cc-aE CC 5.CC,0l00Oj- 2 4.100C0000-01 8.820000E( 1.lCC0CCE-ClC 2.2CcCCE-; 3.C 0 C E-G 5.88 0 0,Coo-ol0 8.900000E-01 1.3600C1-0E 00 1.910'0E0 2.982000E0 l.1CCCCCE-O1 3.GcoooCE-Cl 6.90000CE-0-1 1.276LCE C0 1O.880000E 00 2.710000E 0C 3.7680C0E CC 4.800000E0 1.1COCC0-Cl ~~~7.16JOLCCE- 1 l.2 2 CCCC~-E CC 2. 0)86,0000 E 2.970000E CC 4.C60000E D-'C 5.22800CE 00 6.316000E0 h64CCCCF-0L l~~~~~l13DC'C"E Do- 1.81800CCE CO 3.C36COGE CO 4.170000E CO 5.450000E CC 6.780DC0C 00 7.924000E0 5.6CCCCCL-01 2.286CCCE nDC" 3.4800C00E CC 5.130k0000O CO 6.490000E OC 7.760;D000 CC 8.d20Q-000E rCC 9.640000E 0 1.44CCCCE CC 4.23000CE CC. 5. 540C0DCE CO 7.286CCOE C 8.6000COE CO 9.5800C00 I0'.0 138 0C ClE 1.04440CE0

TABLE A-VII (Concludedl) 2.760000L CC 6. 1600~ZE CC - 7. 6C00~C ~ 2~0~01.Ci5~0EOT [ --- —-0 — 1 1.0958CCE 01 1 *108000E o 4.5LCCOC[C 8.80E CC '9.350000CCE 00 1.055600E 01 1.106OO0E 01 1.1310COE 01 1.143800E 01 1.148000E 0 6.33CC0CE OC 9.596J-OCE CO 1.'59-0COE 01-.280 1 1.146OO0E 01 1.1:57 000 01 1.158600E 01 1.158600E 0 7.8600CCE CC 1.C476OCE Cl 1.123CCCE 01 1.156000E 01 1.~~Y 158600E 0.1 --- —- 00 01 1.158600E 01 1.158600E 0 8.536CCCE CC l.C85600E 01 1.1 462000b C 1.1586O0E 01 1.1586OC0E 01 1.158600IE 01 1.158600E 01 1.158600E 0 8.562CGCE CC 1.09301CCE 01 1.1493CCE 01 1.1586OCE 0l 1.1586OOE 01- 1.1586OOE 01 1.1586OOE 01 1.158600E 0 8.31OCCCE CC 1.C856CCE 01 1.144C00E 01 1.1586OOE 0.1 1.1586OOE 01 1.1586OOE 01 1.158600E 01 1.158600E 0 7.740000CE CC I.C4800-3E 01 1.I180CFCCE.560E0 1.158600E 0 01 1.1586OC0E 01 1. 158600E 01 1. 158600E 0 6T~~7~~E - 9.SO600CE CC 1.C59COCE 01 1.13320uE 01 1.158600E 01 1.158600E 01 1.158601586 01E1.15161586 01 5.080COCE CC 8.200000E 00 9.43CCC0E 00 1.07746011 01 1.138000.E 01 1-.15-8600E 01 1.158600E 01 1.158600E 0 3.356CCCE CC 6.3e03Q00E CC 7.73CCCCE CO 9.560000CE CO- 1.08OOOOE 01 1.147OO0E 01 1.J.586C0E 01 1.158600E 0 2.118C00CE CC 4.582000E CCO 5.75CCCCE CO 7.62CCCCOE 0 9.480000E 0 C 1.1OOOOOE 01- 1. 156200E 01 1. 158600E 0 *-.5~~CC1~7~ — 3.C2~~~00OE CC 3.890000E ~CCr 5.280CCCE CO 7.240000E 0C 9.-60-000E 00 1.-09840CE 01 1.131000E,0 3.7CCCOCE-Cl 1.68000CE CC 2.176600CE 00- 3.C2CCOO'tbE CO0 4.304000E 00 7.99OO00E 00. 9.898000E 00 1.066000E 0 1.8 C ~ EC 1 1.5~GGE C 145000 C 19300E 0 28300E 0 ----0-E ---.8200E00 9.750000E 0 f.-TR-CCN-TidT.60a0-CCCE-0 TTf 0T - 14000 0 490 EC 7.088OOOE 00 8.724000E 0 9.4COCCCE-C2 1.7 2 000 E-31j 1 8 COOO CE -01 F-2.1 6 0C0-00E-1 3.9-8000 0 —E'-0'1" - 3.-240000OE CO 5.3200C0E 00 7.219000E 0.OCCECC.CCQOOCE 'C.CCOCCCEC OCCC O.CCOOOCOE 00 1. I32-0000-E CO 3.84000COE 00 5.200000E 0.OCCCICCE OC.CC000E CO.CCOCCOE 00.000OC3E 00.OOOOOCE 00 5.8CGOOOE-01 3.19000CE 00 4.520000E 00.OC.CCOCE CC.CCO0OCE CC COCOCCCEO.Q OCCOCE 00.OOOOCE 00 24000- 2.400COOE 00 3.620000E 00.OCCOCCE CC.Cn0000E CC.000000E 00.OOOCOCE C — OOOOOOOEO -- CIOOOCOEO 0 1.2200CCE 00 2.660000E 0.OCOO00E CC.C00OCCE CO.CCCCCCE 00.COOCOCE CO OOOOO0OE00.0000000 00 — O OOOO0E 00 OOOO00OE 00

TABLE A-VIII CURVES OF FORM FOR THE U OF M "tV'1 SERIES, CB =.70 CALCILATLCKS FC-P THE- CURV[S LF FLRP AND bONJEAN CURVES SHIP N10.95b P. A. YAGLE, F. C. KIMN BASIL CI!EKS iCi\S TFE LHEIICTF BETWE EN PERPLiN[)I(JLLARS IS 6O GC-J E F E r TIE FCLEEU FfLf: PEAI IS 42.F54 F[EE TFERE ANE 5 LIFF-ECRENT STATICN SPACINGS ALCNG TFE SHIP TF-CRE 4PE 2 GIFFCENfT VATEPLINi- SPACINGS UP THE SHIP I'ILSH-P IS LCC"AIEL A~T STA[ILI\ 14 CALCULAIEU ON 8/22/62

TAPTE A-VIII (Continued) A1 ERPLAN[ CALCULATIONS SHIP NC. 956 CF IS IN FCEt FLRi.AR.i +';? AF T (-) CF VICSHIPSI hAlEFiRLIi\E vwp. C'pS CF (-RiLI_ ViC.) TONS PER INCH WP COEFF. TRANSV. I. COEFF. LCNCb. I. COEFF..Z,; 1~ 1 36 2. ^22 46. 9838.3816135.1641 4.266 32 -_ I 3.352 13.123.!972.42515.33306.5771 333' 4.369 79.296.6417.464 74.38926 17.144 1i' l t 5.295 87.463.7143.57681.47737 -5. 717 34;481; 3.6-(2 94. 14.7678.64422.56278 34.29C 4 435A -6. 4r 1 3. 215.~430.732 42.71230 42.63 C23 19 8956. 6 812.82675 51.436 4 716 3 - 9. 993 113.531.9272.84080.90239 IVCLOEO GISPLACEIVErN IS SHIP O(). 95 ALL VALUES A\ IN1\ LCNG 1C-NS,,AIOTi LINE I)ISP. SALI h, AIER LISP. FRESH hAIER 4.2E6 3174 3C86.5 71 7179 6982 17.144 1 5805 1 536o Z5.7171 25 153 24454 34. 2. ' 35275 34295 42.~(. 3 4t248 44964 I1.4: 6 57 75? 56146

TABLE A-VIII (Continued) LCi'GITLCINAL AND VERTICAL CENTERS [;F BU('YANCY SHIP NO.958 VCb IS IN FEET ABOVE THE BASELINE iATERLINE VCH LCB 4.286 2.467 2.821 8.571 4.616 3.395 17.144 9.126 4. 240 25.717 11 711 4.395 34.29Z 18.414 2.938 42.863 23.2C1.221 51.436 27.971 -1.9C2.TRANISVERSE AND LONGITULINAL MIETACENTRIC HEIGHTS SHIP NC.958 ALL VALUES ARE IN FEET ABCVE THE BASE LINE iATCRLINE KF TRANS. KM LONG. 4.2 e86 48.185 2281.226 8.571 57.880 2C49.548 17.144 37.C53 1C94.741 25.71? 34.337 85C.251 34.2GC 34.839 721.626 42.8e:3 37.445 702.072 51.435 40.510 658.990

TABLE A-VIII (Continued) tCVLNI Tt' TRIP CNE I'JCFf AND ChA\6IS I' L)ISPLA(CELNT FCq A CNE INCF TRIMI AFT SHIP NC.9E58 it E 'ECtJE\TS ARE I" FCCT LCU",, TCS, TI E C(t^,"GL IN CISP. IS IN LCNu TOND' ikATERLINE,CM. [(; kIRI' 1 IN. CHANGE IN DISP. 4.286 1C4. 6 -. 4 jl 8 8.571 23 3. 0 1( -.577 17.144 2922. 44. 7 1(2 25.717 3445.276 -.574 34.29C 4362.64' 1. 33 42.663 50t1.311 1.865 51.436 5524.3L5 1. E 11 ILCCK, PRISNAITIC, VIUSHIP, ANL VERTICAL PRISMATIC COEFFICIENTS SHIP NC.956 A I F rL [.L C K PRISAI IL; I VIDSHIP VFRTICAL PR I SA 1 1C 4.2;..5C41.5t59.8957.8441 E 1.5' 71.57C1.6C17.9414.8862 1 ~14 4. (6274 6434.9752.8783 2. 7717.6657.6768.9835.86(7C 34. 2?C ~ 7'C2. 7Ci19 9877. 83C 6 42. (3 7 7344. 7417-.9901.2 2 51.436.7642. 7795.9918.1241

T-.ABLE A-VIII (Continued) SECTIUNAL AREAS FKCI' BCNJEAN CURVES SHIP NC.958 LCCATICN CF STAI'ICI\S STATICN CISTANCE FROF STA. 1 ~~~~~2.176 2 4.352 3 19.352 4 34.352 5 -,9.352 6 64.352 7 94.352 8 124.352 19 154.352 IC 184.352 11 214.352 12 244'.352 13 214.352 14 304.352 15 ~~~~334.352 1 6 364.352 17 394.352 18 --— 424.352 19 ~ 454.352 2C 484.352' 21 - -- - ~514.352 22___ 5435 23 ~~~~559.352 24 574.352 25 589.352 26 60J4.352 27 608.495 28 612.637 29 616.7EC 3C 620.923

TABLE A-VIIT (Continued) S8-ECTICNAL AR<EPS 6ATERL INES -4. 26 8.571 17.144 25.717 34.291: 42.cb63 51.436 STAT ICN % E A S (S G. FT.).:0..CCl u0 C.&0 1I02.0.CCC.C.02.000 27.811' 2.02.ccC OCC 00. 18.115 86. 131 3 5l.168 16.673 56.7819 123.484 2 2 5.695 376.116 5 90. 80 7 4 9~.75c8 32. 786 119.434 265.93S 4 76. 38 1 753.213 11711.5b7 5 19;.747 64.337 216.513 454.412- 774.259 1173.458 165r0.1701 6 ~~~~~~ ~~~~~34.135 IC6.459 3 32.C'50 656.176 1079.21 5 15681.631 2174.532 -7 Os5. 3241 2351.133 623.317 1 107.28 4 1 669. 98r2 2303.48.2 2 9 9 0.4 6 8 152.36,' 383.439 91I,).55 1 1528.0122 2 184.966 2682.939~ 3 6,09). 3L 9 214.0693 50/".5CC, 1148.391 1836.057 2550'-.819 3282.b5C1- 40 18. 1 14 10C 2 7 2.99 7 6 1C.847 1 31 6.4 08 2045.2C03 2778.667 3 51 3.72 3 4248.476 1 1 3 1C0. 31 9 67 2. 1 73 14 01. 319 2 13 7.396 2_872.151 3 606.9 06 4341.661 12 326.284 69 5. 13 2 1432. 120' 2166.997 2901.752 3 63 6. 57 43 7 1.2 62 13 32 7.16o 0 96.0CC 14 32. 9 87 2161.864 2902.619 3637.374 43 72.132 14 32 7. 16 8 696.000c 1432.987 2167.864 2902.619 3637.374 4372.130.' 15 3 26.1786 6 S5.6 94 14 32. 681 2167.558 2902.313 3637.068 4371.823 16 316.569~ 680-'.969 1413.189 2149.356 2884.111 3618.865 4353.621 17 ~~~~~~~~ ~~291.597 642.796 1363.026 2091.2C4 2 832. 362 3567.117 4301.8712 18 247.525 564.633 1245.973 1964.460 2695.168 3430.734 4165.490 19 189.837 451.3C6 1049.476 1726.068 2443.815 3179.'514 3914.514 20 132.324 329.500D 80'5.677 1389.958 2059.559 2779.959 3517.567 1 82.594 216.296 549.'939 986.889 1565.516 2253.385 298E4.9~61 22 42.467 116.969 307.152 568.726 982.468 1585.732 2262.579 23 25.635 7 2.0"10I 196.175 370J.745 690.645 1225.223 1841.857 24 1 4.0~6 4 38.459 10-1.8 92 193.081 404. 187 828.492 1355.774 25 4.439 12.857 29.629 51.112 155.976 450.719 867.013 2 6 Mv~~~C0.0.000C. 0 00 29.086 168. 242 446.350 2 7 C. 0 00.C.000C 9.695 97.924 3 29. 6 9 28.807.000.000.000 ~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~4.848 62-. 10 2 2 36.009 29 C C..CCO.0C.000.0 0 2 1.4 32 121.80-6 36.000~~~~~~~~~~~~~~~~~~~~C k.000.00r:.00 C.002.00

TABLE A-VIII (Continued) SHIP NC. 958 INPUF VALUES READ WERE LEP = 16r.000000, BL = 11.999000, INCH = LAMBDA 42.857140 N6tL =, N = 2, ST = 14 L ( 1 )... [ ( 5 ) ~ ~ ~ ~ ~ 01' 1 L(1).. L( 1.218500E C5 1.801b.OL C1 1.524185E 02 1.692185E 02 1.738585E 02 LN,(1)...LK(5) 4z 6 ~16 4 4.I)...O(2) 2.400C00E c0o 1.440200E l01 Vf\(l1)...VRi,(2) 5 tliFS( 0,0)...CFS ( 3C,7 ).030)OGL 00.OOOOOF 00.000000E 00.o000000 00.000000E O2'.00C CE 00.C0O 0,:C, CC.OCOCOCE O0. 000,C2 CO.000000 00.000000E 00.000000E 00.000000E 0. OC 000OE 00. OOC E 00 1.090)300E 00.QO000 E 0O.0002006 00.00G000 00.OOOOOOE 00._00CCF CO.00)"0CF 0 7.1.00000E-01 1.53000CE O0 4.600000W -02 2.P20000F-01 4.6200000C E-0I 8.600000F-91 1.33306E O 2.050C 0 22.90032':0 G 4.210vOE CO 9.3009009-02 5.'.OOOOCC-O1 J.600COOE-01 1.8O90Cc0,E 00 2.9102C1.'F A- 3.97030906 F 5.08OJGCCE O0 6.320CE O 1.570090E-01 1.0OZ2000F 00 1.780030[E 00 3.20C06CO 00 4.566COCE;. S.P800'C O 7.10000L C C 8.420 J0 E O0 3.050000E-Gl 1.832000F 00 2.8C60000 00 4.2200C6E 00 6.11000-E C 7. 30C 6E 0 0 s.91200CE o 0 1.O12i2OCCE 1 1.147000E 013 4.134000F 00 5.360000E 00 7.18C6-0` CO.502) 0 9.i0C0Cc 00 1. i40 06E 1 1.1530E Cl 2.7570C0E 03 6.3'0000E 00 7.G90000OOE 00 9.4'0000E 00 1.0340.)OF 01 1.109000 1F 1.16. 80COE 1 1.1999CE 01

TABLE A-VIII (Concluded) 4.635CCCE- -GC 8.820COCE CC 9.82CC C -'E —0 1.- CO-E.1-1-4600-OE ----- -86000E-'I 1.199900E 01 1.199900E 01 6.8e3CCCE CC I.0t650CE C 1.lI2'CGE C1 1.178COCCE Cl 1.194000E 01 1.199900E Gl 1.1999COE 01 1.199900E 1 8.3-3-CCC-E- OC l.fl440OCE Ci 1.i74CCCE Ci I 1.199900E 01 1.199900E -01 1.19990E?1 1.199900E O1 1.199900E 01 9.1e68CCCE CC 1.1745CCE -i 1.19750CE Cl 1.199900E C1 1.199900E 01 1.199900E 'l 1.1999COE 1Cl 1.199900E 01 9.253CCCE OC i.1i745?CE l-.i-75CCE Cl 1.199900E Q1 t.l99900E 01 1.199900E '1 1.199900E Cl 1.199900E 01 9.253COCE GC 1.1745CCE Cl 1.1975CCE Cl1 1.199900E Cl 1.199900E 01 1.199900E 31 1.1999CCE 01 1.199900E 01 9.223CCCE CC 1.17i45CCE 01 1.1975CCE 01 1.199900E 01 1.199900E 01 1.1999GOE,1 1.1999C00E 01 1.199900E 01 8.715CCE OC 1.15450CE C1 1.1 84CCGE Cl l.19990CE C1 1.199900E C1 1.1999CQE 'l 1.199900E 01 1.199900E 01.7.5e6CCCE OC l.C932)CE C1i 1.148CCCE Cl 1.192GOOE 1 1.1999 E 01 1.199900E 9 1 19.199900E 01 1.199900E 01 6.C14COCE CC 9.E.J90CE CC l.C56)CCE 01 1.152COCE 01 1.184000E 0.1999CCE Cl.199900E 01 1.1999CE99900E 1 4.2OC5CCE CC 7.78700CE CC 8.88CCCCE CC i.C54Cs CE 01 1.143000E 01 1.1951u0E ul 1.199900E 01 1.199900E 01 2.563CCCE OC.. 5.7'3200GE CC 6.8CCCCCE CC 8.700COOE C00 1.C34000CE 01 1.14400CCE 1 1.199900E 01 1.199900E 01 i. 34CCCE OCC.794CCCE CC 4.6ECCCCE OC 6.150COGE 00 8.3000CCE OC 1.055C COE C1 1.17400GE 01 1.199900E 01 5.27OCCCE-l1 2.079CCCE CC 2.62CCCCE CC 3.560C00E CO 5.0800COE OC 8.800000E CO 1.C58000E 01 1.136000E 01 3.15CCCE-01 1.2680CCE CC 1.67CCCCE GOC 2.36b-CCCE C: 3.400000E 00 7.570'00E OC 9.520000CE G 1.045000E 01 1.85CuCCE-C1 6.81000CE-Cl 8.6000CCE-C01 1.21OCCCE CC 1.810000E 00 5.62G00COE 00 8.CCOOCCE 00 8.990000E 00.OCCCCCE CC 22.6CCCCCE-Cl.9uCCC,-EE-C1 4.30000CE-C1 3.480C 0E CC 6.070000E 00 7.300000E 00.OCUCn^'-E D'0.COOCCCE CC.OCOCCCE C,.rOCCOCE COc.CCOCCE 00 1.140000E ODC 3.63000CE 00 5.320000E 00..CCCCCCE OC.C.COOCE C0.COCCCE CC oOOOCC'E CC.000D'30E CC 3.8009D30E-:1 2.85000CCE 00 4.600000E 00.CCCCCCE CC.CCJCOE C..DCCCE CC.GOCCCCE CJ.00030CE ^C 1.9C'OC0E-C1 1.94000CCE 00 3.750000E 00.OCCCCCE CC E.'COCCCE. C CCCCCCE CC. C OC E C C.CCO COE C0. CLO0CCE.u 8.400000E-01 2.590000E 00.5.CCCCE CC-C.C. '..OCCE C C - OCOCCCE CC.C0COCC E Cu.C 0 0 00 F Cu.OC 0CCE.'C. COCOOE 00.OOOCOE 00

TABLE A-IX CURVES OF FORM FOR THE U OF M "V" SERIES, CB =.75 CALCULATIONS FOR THE CURVES OF FORM AND FONJEAN CURVES SHIP NC. 952 E R. A. YAULE, H. C. K Mi BASIC DIMENSIONS TFiE LENGTH BEIWEEN PERPENDICULARS IS_ 600.C KUQ FEET THE MCLI)ED HALF BEAM IS 44.446 FEET THERE ARE 5 IJIFFERENT STATION SPACINGS ALONG THE SHIP THERE ARE 2 I[FFERENT WATERLINE SPACINGS UP THE SHIP MIDSHIP IS LCCaTED AT STATION 14 CALCULATED ON 6/19/1962

TABLE A-IX (Continued) WATFkPL4NE CALCULATIONS SHIP NlC. 52 E CF IS IN FEET FCRWAR1 (+) CR AFf (-) OF MIiSHIP'S,AIERLINE i,- -<EAS CF (FROf MI10.) TONS PER INCHg NP C{'FFF. FiTANSv. I. CUE-FF. LONv. I. COEFF..'' C, 2 ' 61 6.389 56. 13.4474.21'35.21523 4.445 3, 04 9. 169 2. 151.646 9.4b446.3916v 8. b 9 3 "91 1. 427 8 9.279.733.56/96.45127 17.776 4 173 12. 8 1 97. - 78.7645.64,27.55j48 26.664 4 564 9.309 1_3. 124.8168.71654.64528 35.551 4 i )33 -. 7C8 111. 984.8818.79321.78974 44.438 4 167 -5.690 117.6-64.9218.84603.88586 53.325 5'275 -6.376 119.702.9426.87264.93953 MOLDED DISPLACEMENTS SHIP NO. 952 E ALL VALUES ARE IN LONG TONS WATERLINE DISP. SALT WAIER DISP. FRESH WATER 4.445 3787 3682 8.889 8439 8205 17.776 18453 1794G 26.664 29171 2836C 35.551 4C65 8 39529 44.438 529C0 51431 53.325 65547 63726

TABLE A-IX (Continued) LONGITUOINAL AND VERTICAL CENTF"S CF BUOYANCY SHIP NO. 952 E VCb IS IN FEET ABOVE THE BASELINE WATERLINE VCb LCB 4.445 2.497 8.126 8.889 4.749 9.08-7 17.776 9.4C3 10.3.$5 26.664 14.126 1. 565 35.551 18.944 8.925 44.438 23.816 6.232 53.325 28.651 3.639 TRANSVERSE A-NI) LONGITUDINAL METACENTRIC HEIGHTS SHIP NO. 952 E ALL VALUES ARE IN FEET ABOVE IHE BASE LINE. WATERLINE KV TRANS. KM LON,. 4.445 59.F14 260..841 8.889 62.352 2126.v37 17.-176 43.289 1142.277 26.664 36.426 876.847 35.551 36.629 144.496 4,..49, 38.R~a3 7( 6.311 53. 32' 41.6&3 646.5'5

TABLE A-IX (Continued) MGMLNT TC TRIM OiNE 1I11CH ANT) CHANGES IN DISPLACEMENT FOR A TiNE INCH TRIP! AFF SHIP NO. 952 E THE MOMENTS ARE IN FOCr LCNlu TONS THE CHANGE IN OISP. IS IN LON6T; ONS WATERL INE MOM. TO TRIM 1 IN. CHANGF IN DISP. 4.445 ___ 1366.592 -1.258 8.889 __ ___ 290V3,.456 -1.552 17.776 3495.290 -1.955 __ 26.664 4097.198 -1.60,9 35.551 5014.462.132 — 44. 438 5624.781 1.110 53.325 __ _ 5965.558 1.272 BLOCK, PRISMATIC, MIDSHIP, ANU) VERTICAL PRISMATIC COEFFICIENtS --- —---- SHIP NO. 952 E WATE",L[NE BLOCK PRISIPATIC MIDSHIP VERT ICAL Pk ISPTA fIC 4.4~45..5591.6229.8975.6643 8.389.623-0 _.6559.9498.8862 17.176.6812.6969.9775.8911 _ 26..,64 ___.7-1 79.7289.9 850.679i0 35.551. 7.75 5 7-1591.9887.51.~44.4t38.7812.7683.99 1 0.8474 53. 125 806.8127.9925.8 5 57

TABLE A-IX (Continued) SECTIONAL AREAS FROM BONJEAN CURVES SHIP NO. 952 E LOCATICN OF STATIONS STATION DISTANCE FRf)lv STA. 0 _.___ 1 2.176 ~~~2 ~ 4.352 3 19.352 4 34.352 5 49.352 6 64.352 7 94.352 8 124.352 9 154.352 1C 184.352 11 214.352 12 244.352 13 274.352 14 32v4.352 15 334.352 16 364.352 17 394.352 18 424.352 19 454.352 2C 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 6-4.352 27 608.495 28 612.637 29 616.780 30 620.923

TABLE A- IX (Continued) SECTIONAL AREAS WATE RL INFS 4.445 8.889 17.776 26.664 35.551 44.438 53.325 STATICN AREAS (SO. Ft.) C.gO Ct~~.~OC,.000.05CC..0C0,. cCC 20274 1.000, COO. 30(, 0CC,.50.000 22.747 2.0.0Ou.00.00G.0, O.6 15.341 77.974 3 6.297 23.07- 90. 569 2"6.525 375.380 634.118 8.97.68-6 4 21.324 65.823 223.25C 471.561 810.436 1232.o93 1721.897 5 38.626 122.333 387.392 771.972 1266.161 1845.095 2483.699 6 64.553 192.601 566.491 1072.423 1681.721 2364.232 3 93.824 7 138.472 364.249 9'25.897 1602. 156 2337.259 311.652 3898.646 8 221.227 533.569 1243.053 2008.405 2794.705 3584.524 4374.662 9 295.675 665.003 1445.163 2238.05C 3028.079 3818.083 4608.086 10 340.174 734.636 1529.592 2319.728 3109.731 3899.734 4689.738 11 354.606 752.562 1544.585 2334.588 3124.591 3914.595 47 D4. i598 12 354.606 75C.562 1544.585 2334.588 3124.591 3914.595 4704.598 13 354.606 750.562 1544.585 2334.588 3124.591 3914.595 4704.5,98 --- 14 354.606 75C.562 1544.585 2334.588 3124.591 3914.595 472,4.598 15 354.606 75',.562 1544.585 2334.588 3124.591 3914.595 47:4.598 16 352.291 745.853 1539.963 2332,.099 3120J.102 391C.1C6 470DC.109 17 336.735 721.725 1510.333 2301.527 3091.530 3681.533 4671.537 18 297.315 655.902 1418.429 2201.873 2990.316 378-.663 457:.667 19 231.121 540. 976 1233.745 1981.429 2758.i22 3545.83. 4336:.363 20 164.028 399.171 969.283 1642.061 2387.417 3167.792 3)56.527 21 103.973 264.774 667.513 1194.181 1863.891 2616.547 3393.O09 22 58.733 152.388 390.152 721.092 1225.331 1905.198 2635.319 23 38.838 102.438 259.302 485.607 879.392 1483.823 2159.669 24 20.477 56.510 144.182 268.602 538.390 1634.272 1625.690 25 5.979 14.181 31.955 59.674 196.473 551.429 1027. 37 -26.000.000.000.000 46.023 235.50 9 _565.8 74 27.000.C;O.['..00 27.772 167.427 447. 796 26. OC.000.OO.000 9. 257 97. 335 321.683 29.000.000.00C.0O0C.000 40.468 181.128 30. 000.0 00 C 00 u0 0...

TABLE A-IX (Continued) $ DA TA MAP ERRCR 0')COC * SY ST EMP 0000* JSPRINT 00CKCI SKI6 0C."C SCARUS C?.* SPEEK 000-*.EXIT 0 0C CC* FTRAP C)0 00C0* (MAIN) 1J0970.ICH 47637*.READ 52066*.PRIN1 52231*.P RS LT 52314*.PCCMT 53(,12*.C1301 53031* ZERO 53123*.03311 53151* LR R 53174* bNbCC 53256* (PROG) 533D1 (SUBT) 74712 (ERAS) 77776 21401 LUCS. CAN BE SAFELY USED IN EXPANDING P'RUG. (OCTAL) SHIP NO. 952 E INPUT VALUES READ WERE LBP 168.000000, BE 12.445000 INCH = 10, LAMBDA 42.874 NBL =5, NBV 2, OSr = 14 L(1)... L(5) __ 1.218500E 00 1.801850E 01 1.524185E 02 1.692185E 02 1.738585E 02 LNH)... LN(5) 2 4 16 4 4 11)...0(2) 2.489C00E CO 1.49310CE 01 VN( 1)...VN(2) 2 5 DES) 0,Q)*.D. FS(30,7) C,,-,0 0000E 3 0 C.,C60000E 00.0OOOOOCE CC.OCE00.00E.%00 % 0.200000 0 0.00000OE 0.0t:C00C0E 0J.C,-jU0 jC E 0C.C000CE CO.0 0 E2 0 0. 00000060 E' E -:0.00060 8.6000OOE-1.0000 C0.0000006E "0.000300E CC.0000006C. Cu.0C C CO C E 00I.0000 00 C O 0 5.800006C' )E-01~- 1.440`000E 4. 0 C0000 - 02 3.6. 0;'_00C- 1 7.~7 - -0 'OO1COOE -A 1.4400006'C-3 00D 2.~2 200006 00E 3.1 2 000 2 4.10>006.-;O Ou' 5.160000E'0 3. CC CC0 E00-1 1.) I0 1.7600006 CC 3.2 0 000E 100 4.6200"00E C00 6.0600006E *0 7.2 000006) 0 0 -.8.180000E 0 3.2CCC000E-01.02 C0, E 0. 31>0 0 5.1200006 00C 6.9 80C00 - LE06 0 8. 54 0 6.. ta )6 2>20 2 1.O46'j00E 0

00 303coOc- 00 3CO;CC-C0 00 13OCOC?'' ') O)C 00 3 C 0 3 )C ]DCC ';O 3 a ]3 C CrC 3]0,%'20 -5CC3cOCOL9z CO 3t;0CC0tS4 22 3i —%OC OC 30OO0000 03 30DOOQ3 oC; 33GODO i' C? ]0000>r5 - C?.)C 00 -()0C00' - 00 3~ o0 C~- t-CIO~' 0 C30C00 0 30'003 303COOO:' 30"00 O 0 3000. ]00 C 2CO 303"90' OC 30 05Z 14 30OOo/_- 0- 30000, 00.00C C.00... 0~ 3O0003. 3 0PC' A 3.0D003000009DS 00 3OOCORCi 00 300003iLT' 00 3000lo000 00 300000" 0030DOD3 32:-O-' DO 3300003 -OC 30- - - 00 3CC 9- - -9 3r oo 1 0-30C OOOZ - 9 1 0- OOOOO E 1 0-30O9- ii - — 3000C 9 Z 1 0 - - T o0 300COZo'96 00 3o0OoOOL"-P O^' 3o00OOo"9 00 o 30000800C 'cooo-T 0o 300.300'- 1c033o0c"36 10-30O""ooo' o o30oo'90Z oo 3T O 10ot'T oo 300iOZ:8 00 aocOOOoo' 00 30300....98-Z 0 3000ooo O 300O0C'9L'1 30-oo.0:oo' o1 30tOZ901- 1o 30ooc0Z-9 O Coooo0086 00 3o-ooo9 0 0o-0aoooo o 00 03000 o - 003o00C 0 300095o-Z0008-6, To:1oooZ'[T- O 1 1CZ[- o C 300 0 -i-Zi.......- 00:1-8600Z Q 000~ ' L 0 o4 30o0oG097- 00 300.00...- 00 3o00000t8 tc~~~oooezz'! to~~~~~~eeeo~~~z'! t,3 ad6~z~~~~~~~i"""~-' oo....a0'0-6()-~~-;6-......(JD-3oooo~'z oo a~~~~~~~~~~~~, _ _ _ __o__ o0_.' _ _o-_o__-..a_-0_0 _- _ __ __.__._.._.oo__a__o._o_ _; _! OCo 30ooo+Z-t 0o 3o00CCZ-L' TO aOOT1 TO 3-0'[ i'Oo- 9 -- 00.00'0 — 8 6 00.0009o-6 L 00 0OOoCd- 9 00 30 —O-09E'IC o0,4;Z4-T To FJ 5;Z-T - 1 C 3o000to Zt' To 0C5o9o-41 To G 30o0o00 T0 30009 0o1 00o 300o0 's8 00 300o00oZS -ie 3oo~;~,z-'[. '[o oo~;*;,,z'[ ~o ao6~~,z'~ ~o 3oo~[z"[ '[o..')oozz2-........~-~056~~f'-_...._ ' 6 —5_0_..........0o ooo.o.-. L IC 30O5'7Z-1 10 300 1;9zol TO 3COCOZ-1 T0 30038~Z-1 0 30O00991 T0 30009001 I G 30008909I 10 330020L-L IC 300oZ9-1 10 30Coz- TO 300ao o Z- t0o 3oo00CZ-9 To 30GS9Z'- 0o 3000oo1oz 10 300oI9o- O -30000o'o8-6 iG 300OZ-1l 10 300COZT1 1T0 30OA1 1C T0 30000O 9-6 10 TO 00041O L 10 3000Z9-1 T0 300009T" 00 3000O096 IC 300StZ;1 TO1 3O05C4Z'T IC 30030OZ-I TO 3000OZOO T0 30o000 TTo0 300O07T TO 300091'19 00 300009+1'6 IC 30o547,Z'T 1TO 30a oZ,-, Tc 300o-,zT CTO 300a9Z'T TO 300oa1o I 10 3005o9Z1T T0o 30000-1o 00o 300009'6 -~a ]oo~,,*,z'~ ~o ]oos,,,,z-t ~o~~~~~~~~~~~~~~~~~~~~~~~~~~~~..6;e,,- _c.a._-o..,,,'.o ao,,~z-..... _. _.Y- i;,.......f: —o~"-.....-3o0,'TO)C O 30 4T- To J 7?Tl 10 305S+4T OToZ 1 3TO JC00 1 10 3OOSZZ-I 10 30009ST' TO 3000 9011 03000OLR6 TO 30OS41y'l TO 3c0q+4;Z'T TO 300S471T' TO 3009-tt1' TO 300O47?Z ' TO 3COO0ZZZV TO 300O0C 'I 00 30000006t T0 — 6o,, iQ-TO 30os+_,z"T To 3..00 Z-, TOI 30o7OZ,' TO1 30,CoZ', 10 30GSZ-1'O9 TO 3000Ot0 3O 0000.. ~c ~'6~"~,*,z'~ ~o"~'.e-os,,~;z-'"~...... ~c, _~cos,-,*,z'~ ~o aoos*,*,z'[ ~o ]oo~,*-,_z"_,._ _ _ _ _ __....,_._ _ _o.........oo.o........ IC 3QOICZ- TO 00,+Z- T' +CS+- 4C 3^C9Z 10 900QS+7Z ' 10 300947'Z-I IG 300091Z-T CO 3G00001796 IC go3 sZ- TO 3CO, T IC 3: OSZ-' IC 3009a4,Z' To 300oo4,Z,'TO TO " 3oo8' 10 3000ooo C,,o' 00 30000.0'Ir 30Sc+;4Z'-1 To 300447C;Z-" 1::'I 300e?~9Z-l 1TO 30.o47Z4-! 10 ao.30'OS4-1; - I..... 3000981-1b- IC0 300096 00 3000..... rC 30CoS7-'Z-1 ITO 3 0CrS 4,Z- 1-IIC 3oC5S>4Z'1j TO 3C^^.3?4ZE- 10 330C,54tZ' TO 3003ZfO-1' I 00 30009TZ-I ro 30000479' IC 300uC+47Z TO 3'rC.CCZ'T I O3(C,..961'- IC 3[083T11Z 00 3000006"6 CO 300C.C49'L 0 000C 3 9I"9 00 3)00000-Z 1T 30uSLT1 TO1 3CC^C911- Tr 310009 T CO 3anoC098o8 00 3000000'L 00 30000997 00 300OC'E I-30J000099 (PGPnTOUOD) XI-V Fi9iv

TABLE A-X CURVES OF FORM FOR THE U OF M "V" SERIES, CB =.80 CALCULATIONS FORTHE CURVES OF FORM AND. bONJEAN CURVES SHIP NO.966 R. A. YAGLE, H. C. KIM BASIC DIMENSIONS THE LENGTH BEFTWEENPERPENDICULARS IS 600.000 FEET THE MCLDED HALF BEAM IS 46.155 FEET THERE ARE 5 D-IFFERENT STATION SPACINGS ALONG THE SHIP THERE ARE 2 DIFFERENT WATERLINE SPACINGS UP THE SHIP_ MIDSHIP IS LOCATED AT STATION 14 CALCULATED ON 20/3/63

TABLE A-X (Continued) WATERPLANE CALCULATIONS SHIP NO.966 FI-S I-N 'FEE T FCRWARU (+1 (JR A FT (-) OF M IDSH IPS WATERLINE __ WP AREAS CF (FROM MID.) TONS PER INCH WP COEFF. TRANSV. I. COEFF. LONG. I. COEFF..000 29940 15.743 71.285.5406.31965.29684 4.616 39362 19.283 93.720.7107.57127.47174 9.232 ___ 41862 _18.908 99.672.7558.63586.53624 __ 18.465 __ 44867 _ 17.615 106.826 —.8101.70873.63058 27.698 41466 13.925 113.014.8570.77148 _.72557 36.931 50818 3.313 120.995.9175.84402.87235 46.164 __ 52710 1 -.534 125.479.9515.89112.95916 55.396 53559 -1.660 _ _ 127.521.9670.91093 1.00153 MOLDED DISPLACEMENTS ________ SHIP NO.966 _ _ _ _ _ _ ALL VALUES ARE IN_ LONG TONS__ WATERLINE D ISP. SALT WATER _ DISP. FRESH WATER 4.616 4646 _4517_ 9.232 10079 __9799 18.465 21576 __ __ 20977 2 1.698 33764 32826 36.931 46711 45413 46.164 60397 58719 55.396 74435 72367

TABLE A-X (Continued) LONGITUDINAL AND VERTICAL CENTERS OF BUOYANCY SSHIP NO.966 VCB IS IN FEET ABOVE THE BASELINE WATERLINE VCB LCB 4.616 2.524 18.067 9.232 4.856 18.752 18.465 9.651 18.519 27.698 14.511 17.588 36.931 19.465 15.225 46.164 24.468 11.974 55.396 29.428 9.468 TRANSVERSE AND LONGITUDINAL METACENT RIC-HEIGHTS SHIP NO.966 ALL VALUES ARE IN FEET ABOVE THE BASE LINE WATERLINE KM TRANS. KM LONG. 4.616 79.833 3035.637 9.232 68.549 2226.919 18.465 42.767 1189.527 27.698 38.098 901.136 36.931 38.024 756.893 46.164 40.171 710.164 55.396 42.881 641.170 - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - -.................................... -- - - -

TABLE A-X (Continued) MOMENT TO TRIM ONE INCH AND CHANGES IN DISPLACEMENT FOR A ONE INCH TRIM AFT SHIP NO.966 THE MOMENTS ARE IN FOOT LONG TONS ___ THE CHANGE IN DISP. IS IN LONG TONS ___ WATERLINE MOM. TO TRIM 1 IN. CHANGE IN DISP. __________ ~4.616 1957.259 -3.012 9.232 3535.761 -3.141 ----— 8.465 —__-457.753-3.13 ________ ~27.698 4784.128 _ -2.623 36.931 5751.927 -.668 -----------— 46-.164 6324.291 --- —--— 112 — _ 55.396 6603.683.353 BLOCK, PRISMATIC, MIDSHIP, AND VERTICAL PRISMATIC COEFFICIENTS _______ ~~SHIP NO.966 WATERLINE BLOCK PRISMATIC MIDSHIP VERTICAL PRISMATIC 4.616.6360.6835.9306.8950 9.232.6899.7128.9678.9127 18.465.7384 ___.7496.9851.9115 27.698.7703.7780 ___.9901.8989 3-6-.9 31 -.7 9 93 - ------—.8053 --------— 99 26.87111 46.164.8268.8317 __.9941.8689 55.396.8491.8533.9950.8781

TABLE A-X (Continued) SECTIONAL AREAS FROM BONJEAN CURVES SH I P NO.966 LOCATION OF STATICNS STATION DISTANCE FROM STA. 0 0.000 1 2.176 2 4.352 3 19.352 4 34.352 5 49.352 6 64.352 -7 - - - -- --- - - - - - -- -94.; 352 8 _ ___124.352 -------------— 9 154.352 10 _ 184.352 11 214.352 12 244.352.13. 274.352 14 304.352 15 334.352 16 364.352 17 394.352 18 424.352 19 454.352 20 484.352 21 514.352 22 544.352 23 559.352 24 574.352 25 589.352 26 ___ 604.352 27 608.495 28 _ 612.637 29 616.780 30 620.923

TABLE A-X (Continued) --- ~~~~~~~~~~~~~~WATERLINES SECTIONAL --- —------------— AREAS --- —--- 4.616 9.232 18.465 27.698 36.931. 46.164 55.396 STATION AREAS (SQ. FT.) 0 --— 00 ----000 --- —— 000 0 00 --- —- ----. ---000-.000.000 1.000.000 —.000.000.000.000 66.498 2.000.000.000.000 1.374 54.133 __238.625 3 21.349 68.911 227.849 476.587 824.193 — 112869.1-3-3- 1855.140 4 ------------- 55.310 167.168 495.119 951.376 1535.958 2224.905 2964.358 5 96.168 273.447 747.842 1360.508 2083.693 2871.124 3682.241 6 --- —------------- 140.048 319.507 981.073 _1707.831 2 505.978 3334.572 4172.948 7 252.125 601.848 1375.797 2200.214 3046.559 3898.988 4751.401. 8 342.056 748.573 _1582.974 2433.936 3286.145 4138.503 4990.788 9 391.487 815.286 1666.885 2519.683 3371.967 4224.252 5076.537 10 396.533 824.775 1679.162 2531.447 3383.732 4236.016 5088.301 11 396.533 824.775 1679.162 2531.447 3383.732 4236.016 5088.301 --— 12 ------------— 396.53 3 ---— 82 4-.775 --— 1679. 162, —2531.447 -— 3383.-732 --- 42-36.0-16 5088.301 13 396.533 824.775 1679.162 2531.447 3383.732 — 4236.016 5088.301 __ 14 396.533 824.775 1679.1.62 2531.447 3383.732 4236.016 5088.301 15 396.533 824-.-7-7-5 1 ---6-79.162 2531.447 3383.732 — 423-6.016 5088.30-1 16 395.544 823.456 1678.136 2530.421 3382.706 4234.990 5087.275 17 384.727 808.032 1661.902 2514.591 ~3366.875 4219.160 5071.445 18 __ 349.805 750.551 1590.339 _2444.636 3297.050 4149.334 5001.619 19 288.669 643.612 1419.979 2246.979 3094.533 3946.303 4798.771 20 _____ 207.751 491.831 1157.075 1911.806 2725.561 3568.883 4422.301 21 133.536 328.400 - -823.642 1447.519 2191.643 -3014.192 3860.867 22 _ __70.752 179.917 474.929 902.114 1515.329 2284.514 3095.960 23 44.842 116.721 313.982 619.326 1124.715 1831.742 2598.674 24 23.575 60.668 __163.036 335.053 695.519 1298.897 1981.799 25 5.798 13.079 30.555 67.762 255.606 707.686 1262.042 26.000 __.000.000.000 71.170 320.512 689.002 27.000.000.000.000 38.745 205.431 506.708 -28.000.000.000.000 12.365 102.22 1 _ 322.326 29.000.000.000.000.000 30.227 149.209 30.000.000.000.000.000.000.000

TABLE A-X (Continued) $ DATA MAP __ ERROR 0-b-d0000* -— SYST-EM 00000O*~ SPRINT 00000* SKIP6 00000* SCARDS 00000. SPEEK 00000* FTRAP 00000* (MAIN) 10000.1OH 47637..ERR 52066*.READ 52150..PRINT. 52314..PR --- —OSLT 52400. - PC-T-5376 —E — 515. - ATLOC 53172..01301 53220. ZERO 53312..03311 53346. BNBCD 53363.* (PROG) 53406 __(SUBT) 14676 (ERAS) 7-1776 220LOCS. CAN BE SAFELY USED IN EXPANDING PROG. (OCTAL) rMTUVVAUMFS -RE-A D-W-ER E - L8P18 oo I Z3 ~, T c 1=1,LAMBD'=A" 285IT -~~~~NHL -— 5, --- —---— 2 —OST =l-..2185C0E 00 1.801850E 01 1.524185E 02 1.692185E 02 1.738585E 02 LN(l)...LN(5) 2 5 2.58COOE0.COOOE 00.OOOOO500.OOOOE 00 OOOE0 OOOE0 OOOE0 OOOE0.OCOOOOE 00.COOOOOE 00.OCOOOOE 00.OOOOOOE 00.OOOOOOE 00 5.OOOOE0 180000E 00 OOTOOOOE 00.00 1.60000E0E-O 1.O9000E 00 OOOOOO0E 00 OOOOOO0E 00 4.490000E 00 _6OOOOOOE 00 OOO90O0E 00 2.42000E0 4.9C0000E-01 2.700000E 00 3.920000E 00 _5.930000E 00 _ 7.900000E 00 9.820000E 00_ 1.094000E 01 1.137000 0 1.040000E 00 4.47000CE 00 5.960000E 00 8.28000DE 00 1.024000E 01 1.159000E 01 1.216000E 0 1 1.23800D1 0

00 3000000- 00 3000000 - 00 3000000' 00 30.0000' 00 3000000' 0 300od000' -.00 3000. 00 3000000'.. ooL —6db Z 00 3000OOT' 00 3000000 ' 00 3000000' 00 3000000 00 ]0000005 00 3000000' 05 3000000 -oo oooozo-, 00 3oo~oZ o-z f-3booo006~-....ooo o 0 000 60 3oo —o-0o- ~d oo 366 o-ooo oo 30000- oooooooo00 30000'9, 00 300001s'9 00 30000OS'17 00 3000000' - 0 3000000' 00 3000000' 00 3000000' 00 3000000' 00 3OOO00l09 00 3O000016I 00 300001471 00 3000000, 00 3000000' 00 3000000' 00 ]000000, 00 3000000. 00 300009L'8 00 30000IR'/. 00 3O0001' TO-300000Z'9 10-300000c'~ 10-30000"'.. 10'0330001o' Z 10-300000~'I.. i306- -90'1 00 300008'86 00 3000086'L 00 3000960 — 00 30000T6-1 do 30000oo-Z1 10-3-0000L- 6 T0 —000001'10 O0009LT'T 10 30000!1'1 00 30000SL'6 00 3OOOO0'0 00 300006S'E 00 3OOOO~','Z 00 300009-.T TO-30000 —L' To 300oZ47Z'T 10 300090oZ' To 300oC60'1 00 3oood0 L'Z oo-3o0ooiT's.0 30o0os9-E 00 aooooe'z 00 30ooooZ'l TO 30006RZ'1 10 3000TLZIl 10 3000LOV'l 1O 3000474/0' 0 00 30O+'98 00 3]00904"9 00 300008i'- 00 3O-OOZLZ' TO o0,f. Z6Z' 10 3000o6Z'l 10 3ooo9Z'l 10 3000o6'T 10 300ooz0'1 O0 30000C'6 00 300dOR'-L 00 30000..-It TfO-'0?z6Z' 10 TO3,?z6Z'0 TO o00068z'T 0O3000-Lz'T T0 30oooz'T T0 3d00111-1 10 o 000600'T 00 3000060'1 10 3047,Z6Z'l T0 30',6Z6'? 10 304(,Z6Z'T 10 307C~Z6Z'1 T0 300006Z'T 10 300OEZ~.. TO 3000991,' 00 30000aV' 10 0~'Z?6?1'...O. ]0 a~6Z'1 10 30,,CZ6V'T 1....~-0-3+,~z6-z'...0 30~,Cz6z' -TO a00dz8z-T 10 aooo0zz-T 10 30001S0-1 TO )0i,:6z-1 1 0 30~_6z-T 10 -]o,,6z- I0 30~z6e-T 1d —0d,~6Z-; 1...0 30,,~~z- 10 30009LZ'1 TO 3000901' 1O 304,CZ6Zl- TO 304,~Z6Z' II 10 304OZ6Z'1 10 30',!Z6Z'T o0 307,Z I T0 300OZ'l 10 300000L7Z ' I0T 300010O'l 10 — 3b- Z6Z'T 0 30',?Z6~z' TO 30,CZ-6 —; TO 30,E~Z6Z'T 10 30 —3 66~~ T0 30~Z6Z'T TO 30009LZ'1 TO 300090'i TO -— 304 Z6Z*' TO 304~~Z6'Z' TO 304,~Z6Z'T TO 30+,~Z6Z'1 TO 30,E~Z6Z'T TO 30tr~Z6Z'T TO 3000OLZ'l TO 3000001'l 10. iO — Z6Z TO 1030+KZ6Z'I" TO 30~Z-6-Z'- 0 30+~Z6Z'IT 10 30+z~Z6'I 10 O0~7EZ6Z'l 10 30009LZ' TO 3000001'1 1- 3O6 tz6z'l 1o 304.z6z'l To 304~z6z'l.. TO 304?60 l TO1.0..i - 6Z-; TO 3000E86'l' 10 300009Z'T 10 3000T01' TO 301YV6Z'l T0 3O0lEZ6Z1T TO 3 04i E 6 ZI1 10 300OTZ6V'l TO 30O7E96ZT 10 3O0ddZ6Z1 TO 3000~911' 00 300OO0T'l T0 3-0-Z6Z'l' 10 304[Z6ZII To 300006Z'I TO 3000EZ6z'.. TO 30001Zz'T T o-36o0T60'l 00 30000896 00 30000901' 10 30004sz6'? 10 3000s9Z6' T0 300006',z ' 30d0I 0-3oddllo' T0 300060'1 00 30000-9-6 00 30000..1 -(popnT-uoo) X-V ~tVi,

TABLE A-XI NONDIMENSIONAL OFFSETS FOR THE U OF M "V" SERIES, CB =.60 NON-DIMENSIONAL OFFSETS - HALF BREADTH UM V-SERIES ITANGENT I.075 WL.125 WL 1.25 WL.50 WL.75 WL 1.00 WL 11.25 WL 1.50 WL MODEL:924 TA.................. ICB=.60 EXT "V FP o o o o o o o 0.0518 0.1152 0.0063 0.0111 0.0150 0.0217 0.0366 0.0500 0.0893 0.1554 0.2348 1 0.0089 0.ozlz 0.0268 0.0444 0.0795 0.1170 0.1768 0.2572 0.3509 1 0.0125 0.0372 0.0500 0.0752 0.1304 0.1884 0.2634 0.3572 0.4590 2 0.0189 0.0574 0.0767 0.1161 0.1875 0.2661 0.3545 0.4545 0.5607 3 0.0301 0.1158 0.1486 0.2100 0.3277 0.4375 0.5420 0.6456 0.7447 4 0.0817 0.2186 0.2656 0.3490 0.4884 0.6099 0.7179 0.8081 0.8849 5 0.2010 0.3675 0.4161 0.5068 0.6563 0.7652 0.8563 0.9233 0.9697 6 0.3812 0.5377 0.5801 0.6682 0.8054 0.8867 0.9496 0.9849 1.0000 7 0.6050 0.7099 0.7440 0.8132 0.9152 0.9617 _0.9893 1.0000 1.0000 8 0.8112 0.8197 0.8869 1 0.9202 0.9724 0.9938 1.0000 1.000 1.0000_ 9 0.9446 0.9627 0.9664 0.9791 0.9954 1.0000 1.0000 1.0000 1.0000 10.L|l.0000 1.0000 |1.000oo0 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11 0.9648 0.9839 0.9827 0.9900 1.0000 1.0000 1.0000 1.0000 1.0000 12 0.8579 0.9134 0.9300 0.9601 j 0.9983 1.0000 1.0000 1.0000 1.0000 13 0.6918 0.7996 0.8341 0.8912 0.9661 0.9983 1.0000 1.0000 1.0000 14 0.5106 0.6323 0.6769 0.7697! 0.8956 0.9706 1.0000 1.0000 1.0000 L5 1i0.34601 0.4713 0.5177 0.6056 |0.7661 0.9045 0.9849 1.0000 1.0000 16 0.2176 0.3383 0. 0.4343 0.5831 0.7813 0.9349 0.9938 1.0000 I7 0.1182 0.2186 0.2407 0.2829 0.3831 0.5831 0.8331 0.9313 0.9733 18 0.0478 0.1238 10.1381 0.1604 0.2116 0.3232 0.6563 0.8081 0.8911 18~l 0.0227 0.0795 0.0920 0.1106 0.1366 0.2080 0.5402 0.7250- 0.8215 19 0.0113 0.0433 0.0537 0.0625 0.0741 0.1107 0.4009 0.6259 0.7438 19% 0.0089 0.0131 0.040 4 0.01154 70 0.0277 0.2527 0.4991. 0.6384 AP 0 0 0 0 0 0.1036 0.3348 0..4866 MAX B.7099 0.8867 0.934 0.9849 1.0000 1.0000 1.0000 1.0000 1.0000 MAX B.47099 0.8867 0.'9341 0.9849 1.0000 1.0000 1.0000 1.0000 1.0000 T?~l ~................... --

TABLE A-XII NONDM4NSIONAL OFFSETS FOR THE U OF M "V't SERIES, CB =.65 ______ NON-DIMENSIONAL OFFSETS- HALF BREADTH UM V-SERIES TANGENT.075 WL.125 -WL1.25 WL.50 WL.75 WL 1.00 WL 1.25 WL 1.50 WL MOEN. s ~~~~~~~~~~~~~~~~~~~~~CB.=65 EXT'V FP Q00 0.OP 0.OQQ9 0.0000 0.0000 0.0000 0.0043 0.0354 0.0761 0.0128 0.0172 0.0201 0.0296 0.0508 0.0768 0.1174.0.1649 0.2574 1 0.0128 0.0269 0.0357 0.0600 0.1096 0.1623 0.2339 0. 3252 0.4143 1~ 0.0128 0.0474 0.0655 0.1062 0.1800I 0.2563 0.3504 0.4512 0.5451 2 -0.0192 0.0783 I0. 1023 0.1582 0.2620 0.3559 0.4704 0.852 0.6839 3 0.0654 0.1804 0.2091 0.3028 0.4428 0.5602 0.6698 0.7613 0.8320.4 0.1678 0.3397 0.3870 j0.4820 0.6286 0.7423 0.8269 0.8750 0.9014 5 0.3224 0.5156 0.563610.6613 0.7958 0.8761 0.9201 0.9458 0.9563 6 0.5267 0.6889 0.734510.8135 0.9111 0.9546 0.9762 0.9872 0.9909 7_ 0.7393 0.8478 0.8790 0.9214 0.9717 0.9891 10.9986 1.0000 1.0000 8 0,9180 09528 0.95 0 -71 0998-00 1.0- -------- 1- 000 0.18 0.9 528 0.9 585 0.9 771 0.997 8 1.0000 1.0000 1.0000 1.0000 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11 0.9776 0..9.929. 0.9932 0.9954 1.0000 1.0000 1.0000 1.0000 1.0000 1 2 0. 9040 __ ____2 0.9588 0.9728{11.0000 1.0000 ________00 1.00 13 0.7650 0.8520 0.8790 0.9214 0.9780 1.00,00 1.0000 1.0000 1.0000 14 0.5933 0.7176 I0.7502 0.8205 i 0.9299 0.9822 1.0000 1.0000 1.0000 15 0.3920 0.5468 0.5837 0.6726 0.8251 0.9322 0.9900,~ 1.0000 1.0000 16 0.2474 0.3834 0.4192 0.5000 0.6578 0.8182 0.91494 0.9979 1.0000 17 0.1110 0.2436 0.2763 0.3385 0.4557 0.6248 0.8597 0.9480 0.9762 -18 0.0432 0.1337 j0.1537 0.1893 0.2607 0.3715 0.6896 0.8543 0.9201 18~ 0.0220 0.0955 0.1056 0. 126?C 0.1666 0.2443 0.5679 0.7623' 0.8415 19 0.0119 0.0477 {0.0540 0.0661 0.0872 0.1260 0.4298 0.6118 0.7530 19~i 0.0110 0.01623~ 0.0157 0.0148 0.0186 0.0344 0.2796 0.4592 0.6231 AP 0.0000 0.0000 0.0000 0.00 0.0000 0.0000 0.1139 0.2914 {0.4488 0.-7 3 90 0.9040 0.9434 0.9920.00 1.0000 1.0000 1.0000 1.0000 *cB=648

TABLE A-XIII NONDIMENSIONAL OFFSETS FOR TEE U OF M "V't SERIES., CB =.70 NON-DIMENSIONAL OFFSETS -HALF BREADTH UM V-SERIES.TANGENT.075 WL.125 WL.25 WL.50 WIL.75 WL 1.00 WL 1.25 WL 1.50 WL MOVDEL NO.":5 T ~~~~~~~~~~~~~~~~~~~~~~C B=.70 EXT"V FP 0 0 0 0 0 0 0.0592.1275 ~.005.0171 0.024.0384.0717.1108.1708..2467.3342 1.01.0342 0.046.0801.1575.2425.3309.4234.5267 1~,.017.0729 0.093.1486.2667.3800.4900.5959.7017 2.033.1260 0.156.2338.3767.5092.6359.7484.8434 -3.124.3060 0.352.4475.5984.7126.8176.9034.9609 4.298.5229 0.573.6597.7867.8617.9242.9742 1.0000 5.501.7065 0.751.8200.9075.9551.9884 1.0000 1.0000 6.744.8676 0.891.9286.9818.9951 1.0000 1.0000 1.0000 7.905.9612 0-.974.9804 1.0000 1.0000 1.0000 1.0000 1.0000.991 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 9 1.000 1.0000 1.0000 1.0000 1.0000 1.0000 LOOQO0 1.0000 1.0000 10 1.000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11.997.9963 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 12.94-2.9783 0.983.9887 1.0000 1.0000 1.0000 1.0000 1.0000 13.820.9180 0.935.9586.9934 1.0000 1.,0000 1.0000 1.0000 14.650.7902 0.825.8818.9601.9867 1.0000 1.0000 1.0000 15.454.6174 0.663.7415.8784.9526.9925 1.0000 1.0000 16.277.4491 0.488.5678.7251.8617.9534.9950 1.0000 17.145.2853 0.323.3908.5126.6917.8792.9784 1.0000,18.057.1494 0.177.2188.2967.4234.7333.8817.9467 18~.034.0900 0.108.1395.1967.28 34.6309.7934.8709 19.020.0504 0.958.0718.1008.1508.4684.6667.7492 19~~ 0.0216 0.025.0217.0242.03584.2900.5059.6084 AP 0 0 0 0 0 0.0950.3025.4434 0.771 0.926 0.953. 0.998 1000 1000 1.000 1.000 11.000 _______

TABLE A-XIV NONDIMENSIONAL OFFSETS FOR THE U OF M tV" SERIES, CB =.75 NON-DIMENSIONAL OFFSETS - HALF BREADTH UM V-SERIES TANGENT.075 WL.125 WL.25 WL.50 WL..75 WL 1.00 WL 1.25 WL 1.50 WL DEL NO.:952 ST..........._ I... 1..... IB= 75 EXT. "V" FP 0 0 0 0 0 0 0 0.0466 0.1157 ~ 0.0398 0.0187 0.0296 0.0562 0.1157 0.1783 0.2505 0.3293 0.4146 1 0.0149 0.0612 0.0855 0.1414 0.2570 0.3711 0.4867 0.5783 0.6573 1~ 0.0319 0.1259 0.166.1 0.2538 0.4112 0.5606 0.6859 0.7727 0.8405 2 0.0657 0.2126 0.2648 0.3743 0.5622 0.7116 0.8241 0.8964 0.9466 3 10.2131 0.4388 0.5066 0.6137 0.7952 0.8980 0.9606 0.9912 0.9996 4 0.4560 0.6752 0.7303 f0.8289_ 0.9398 0.9863 0.9976 1.0000 1..0000_ 5 0.7189 0.8707 0.8997 0.9526 0.9992 1.0000 1.0000 1.0000 1.0000 6 0.8961 0.9779 0.9868 0.9950 11.0000 1.0000 1.0000 1.0000 1.0000 7 1.0000 1.0000 1.0000 o 11.0000 1.0000 1.0000 1.00o 00 1.0000 1.0000 8 1.0000 1.0000 1.0000 1.0000 11.0000oooo 1.0000 1.0000 1.0000 1.0000 _...., ~.... 9 1.0000 1.0000 1.0000 1.0000 [ 1.0000 1.0000 1.0000 1.0000 1.0000_ 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 iLQO I on 12 0.9778 0.9949 0.9918 0.9980 11..0000 1.0000 1.0000 1.0000 i.0000 13 0.9141 0.9524 0.9622 0.9815 1.0000 1.0000 1.0000 1.0000 1.0000 14 0.7667 0.8520 0.8783 0.9285..915 0.9944 1.000 0 1.00.0ooQ0 15 0.5178 0.6888 0.7352 0.8161 0.9157 0.9687 0.9916 1.0000 1.0000 16 0.3445 0.4915 0.5411 0.6378 0.7904 0.9060 0.9718 0.9964 0.9964 17 0.1872 0.3248 0.3635 0.4692 0.5734 0.7695 0.9173 0.9723 0.9867 18 0.0976 0.1871 0.2105 0.2554 10.3438 0.5060 0.7903 0.9105 0.9337 18~ 0.0538 0.1786 0.1447 0.1689 0.2297 0.3534 0.6763 0.8244 0.8694 19 0.0219 0.0714 0.0806 0.0964 0.1237 0.1992 0.5253 0.7055 0.7730 19~ 0.0119 0.0170 0.0197 0.0209 0.0241 0.0498 0.3406.0.5432 0.6460 AP 0 0 0 0 0 0 0.1396 0.3519 0.4061 0 ~.8067 0.9449 0.973 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

TABLE A-XV NONDIMENSIONAL OFFSETS FOR THE U OF M "V" SERIES, CB =.80 ____ ________ NON-DIMENSIONALOFFSETS - HALF BREADTH UM V-SERIES_______ TANGENT.075 WL.125 WL 1 25 WL.50 WL.75 WL 1.00 WL 1.25 WL 1.50 WL __________________ J __________________ O.: U ST _____ ~~~~~~~~~~~~~~~~~B: 80 ETV FP 0 0 0 { 0 0 0 0.0039 0.1424 0.2925 * -iOl045 0.0606.0.0853 0.1354 0.2376 0.3474 0.4705 0.6260 066 1.0445 0.1683 0.2113 0.3033 0.4589 0.6113 0.7599 0.8465 0.8798 l 0.0945 0.2943 0.3498 0o.4612 0.6409 0.7924 0.8968 0.9409 0.9580 2 0.145 "0.4266 0.4867 10.6067 0.7901 0.9038 0.9595 0.9789 0.9866 3 0.4600 0.7026 0.7574 10.8496 0.9425 0.9835 0.'9982 1.0000 1.0000 4 0.7672 0.9114 0.92-56 10.9556 0.9928 0.9990 1.0000 1.0000 1.0000 5 0.9881 0.9832 0.9874 T0.9c.28 0.9998- 1.0000 1.0000 1.0000 1.-00-00 1.000 1.00 1000.100 1.00 0-1000.000 1.~0 6 10001.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 7 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 90 1.0000 1.0000 1.0000 1.0000 1.0000 2.0000 1.0000 -1.0000 1.0000 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1i.0000 11 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 13' 0.9554 0.9736 0.9812 0.9-943 1,0000 1.0000 1.0000 1.0000 1.0000 14 0.8436 0.8939 0.9123 0.9572 To.9599 1.0000 1.0000 1.0000 1.0000 15 0.6445 0.7560 0.7895 0.8597 ~0.9464 -0.9866 0.9974 1.0000 1.0000 16 0.4091 0.5590 0.6088 0.7065 10.8372 0.9270 0.9758 0.9990 11.0000 -17 0.2472 0.3628. 0.4053 0.4983 10.6554 0.8078 0.9340 0.9835 0.9974 18 0.1200 0.1962 0.2230 0.2824 0.4109 0.6020 0.8458 0.9332 0.9611 18~2 0.0700 0.1260 0.1455 0.1870 0.2778 0'4527 0.7545 0.8744 0.9115 19 0.0373 0.0670 0.0759!0.0952 0.1478 0.2670 0.6175 0.7645 0.8233 19~ 0.0119 0.0160 0.0164 0.0170 0.0255 0.0673 0.4264 0.6043 0.6794 AP 0 0 0 0' 0 0 0.2004 0.3815- 0.4674 7lA B 0.8t0 0.970 0.991 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

1.7.4 \SVATIONS IN TRANSVER5E WI~ERF~NE IRERJ, 5 ~~~~~~~~~~~~~~~~~~~~TAN(CENT TO i~ksELo1.24 ~~~~~~~~~~~~~/' / A/ / ~'i/?-,.77, ~i '~ - Fig.~~~~~~~~~~~~~~ A//Otooa/po fnn~esinlbsln anetwtrie o S ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.7~ ~ ~'~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~7:['oz'~~~~~2 14~e 60 4n.teUo'lJ V eis

FE9A6 60 ~~~~~.6 ~~~~~~~~~~~~~~VARI4TIONS N E2A26221 4 ~~~~~~~~~~~~~~ 0.~~~~~~~~~~~~o25 LoAD DizJLEX W\NA1142mF 0.4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~8.17~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1 2`0 ~ ~ ~ ~ ~ ~ ~ ~~~~~2 lB 6 1100 GIATIONS~~~~~~~~~~~~~~~~~~ly C.. ~ Fg.Orhgnlpo f odmninl0.5wtrie o Seis61 ndteUo "2 eis

1.0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1 VARM-T0N$ N 7R8,N'5J8-R5E WA-IrRpLANNr kt-A7~t 'o.5 Loki )8A~~A7~l 0 2.4 AV,6. 10?O 6 \X4 12 C~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. CIV-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~7 775 20 8 '6 ~~~~~~~~~~~~~~~~~~~~~ 2 ~~~~~~~~~~ 8 6 4 2 0~~~~~~~~~~~~~~~~~~~~~1 Series 6o and. the U of M "V't Series.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~o..7

.6'.8.4 \\.2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-. 20 4 C~.-.70~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1 /,/..,A' ce-10~~~~~~~~~~~~~. C,. 70 CSere 60adteio V eis -~~~~~~~~~~~14 12 01 CF,-. A-.5 Orhgoa plo ofnniesoat.5wtr o Series 60 and the U of M "T' Series. ~ ~ ' -

VAR(ATiVONS I TRANSVE~RSE VAERJ~tX9 WER71 2 2.4~ ~~~~~~~~~~~~~~~~~~~~~~~~ T0N Fig. A-5. Orthogonal plot of~UK nodienioallod atrlhe for Series 60 and the U of M "V" Series.r

UNIVERSITY OF MICHIGAN 3 9015 03483 0417