LR 330 - User's Manual - calculation of local panel and stiffener collapse using plastic design

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DISTRIBUTION: Unrestricted

REF; DEVELOPMENT UNIT REPORT No. 21

LR 330 - USERS' MANUAL

TITLE: CALCULATION OF LOCAL PANEL AND STIFFENER ('Ç T

r

' Tp T 11 T'T C' T h ii/' '. b)i'JL AUTHOR: DEPARTMENT: PRINCIPAL: DATE: 1flflfltflr'_fI)h7I,. fl _,

C.A. B)ixell, Civ.ing., C.Eng.

Development Unit, Ilull Structures Department. J.I. Mathewson, C.Eng.

December, 1972. (Replaces version dated June, 1972)

(2)

CONTENTS PAGE NO. 1. INTRODUCTION i 2. THEORY i 3. INPUT 3 4. EXAMPLE G 5. OUTPUT 6 6. NOMENCLATURE 7 7. REFERENCES 8 8. MODIFICATION 9

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J. 1T

fLf

\O

LLOYD'S REGISTER OF SHIPPING

INTRODUCTION

Proqrarn LR 330 has been developed in order to simplify

the structural analysis of a 'two-dimensional' plate field and check the local collapse pressure against

a given pressure distribution. The input data arc to

be taken more or less directly from a plan of the structure and from the output of the sloshing program LR 321.

The program is described for a bulkhead with horizontal stiffeners, but could be used for other arrangements.

The output gives the collapse pressure of the local items je. panels and stiffeners, of the structure and the safety factor against collapse with a given pressure

distribution.

THEORY

Structure

The plastic design theory is fully described in Refs.

(1) and (2) for bending and shear collapse respectively. Tiìe formula used to calculate the plat.e lateral collapse pressure is given as:

2,1

t cYL

This Certificate is issued upon the terms of the Rules vos! Rcguatici: of thc Society, which reovide

that;.-"The Commit Lecs of the Society use their hst endcavours to ensure that the fiinc;ioos of the Socicty are properly executed, but it is tohe understoo! that neither the Sc'chtv nor any chrr f any of its Commhkce nor any of its Ofl:crs, Servants or Surveyors is under any circumstances whatever to he held responsible or liable for any inucuraey ta any report er certiflcate issued by the Socitv or its Surveyors, or in anyentry in the

Register Book nr other;u tlention of the Sncitv. r fer tiny act r omksion, default or nelienco of any of its Coumittces or any Member thrcof,

or of the Surveyors, or othcr Oflicers, Servatits or Agents of tise Soc:cty".

N. (Rpt. O'.i'm.) 2m. 1.( (MATiE AND NTi \TI

71,

Fenchurch Street, London, E.C.3

July, 1972

(4)

where

- yL%Lu

)L1tSS

y

t = plate thickness

s = span of plate panel or stiffener

b = breadth of plate panel

The formula for calculating the stiffener lateral collapse pressure in bending is given as:

16e Z

B = p

u

Sb

2.

where

= plastic modulus of stiffener with associated effectivo plating as per LR Rules D5304

b1 = width of load-bearing plating

The formula to calculate the combined bending and

shear collapse pressure is:

2 B

-

L. C = u

I-

B i - I i

/-)

2 u

and the shear collapse pressure is 2S, (4)

d

= contribution of weh to plastic modulus

W W

D

dt

-.

= Sb1

iTcr+2520j

/a2+Tc2(l.5.sin2od2_3'_

1.5T sin2O 1 ₍₅₎

(5)

3. INPUT

= critical shear stress

d7 = depth of web

t = thickness of web

c = location of plastic hinge from midpoint of span

2d

arctan W

s

Pressure

The program is written so that the pressures calculated

by LR 321, Ref. (3), can be applied directly as pressure

distribution, but any other pressure distribution could,

of course, be applied.

The program requires as input the values of cr,, the

modulus of elasticity, Poisson's ratio and the deduction due to corrosion of the plating, data about the plating,

the stiffeners and the pressure.

The plating is described by the height and thickness of each strake in turn, starting with the lowest one.

The stiffeners can be of two types.

If type of stiffener equal i it represents a built section

W1tÌL web and tiange Which dLC

described by web depth

and thickness, flange width and thickness. In the case

when the stiffener is a flat bar; flange width = flange

thickness = O.

If type of stiffener eauals 2 the stiffener could be of any type which is described

by

the total area of the stiffener without plating, the thickness of the web, the depth of the web, measured from the plate to the top

(6)

program is (web thickness x web depth) and consequently

the

(total area- web area) is 'flange area' and the distance between the centioid of the flange area' and

the plating is requested as input. The span of stiffeners does not need to be constant, but might vary.

The stiffeners are inoutted in order starting with the lowest.

Card 1. CoiS. i - 80 Title Format 20A4

Any alpha-numeric characters to label output

Card 2 Cols. i - 5 Number of plates Format 15

6 - 10 Number of stiffeners Format 15

li - 15 Type of stiffeners (1 or 2) Format 15; 16 - 25 in kg/mm2 Format F10

26 - 35 Mdulus of elasticity in kg/mm2 Format F10

36 - 45 Poisson's ratio Format F10

46 - 55 Deduction for plate corrosion in mm Format F10

Card 3 Cols. i - 10 Height of plate with constant thickness,

mm, Format F10

11 - 20 Plate thickness mm Format F10

One card for each plate. If type of stiffener = i

Card 4 Cols. i - 10 Spacing between stiffeners mm Format F10

11 - 20 Thickiiess of web, mm Format .h10

21 - 30 Depth of web, mm Format F10

31 - 40 Width of flange rrìm Format F10

41 - 50 Thickness of flange mm Format F10 51 - 60 Span of stiffener mm Format F10

(7)

If type of stiffener = 2

A r' i i

ir'

c'.---.-.. i-.. ¿. -.j_4

L- L.ti.. L- L- C) ..L. . L. .L Lì ) L- L i i g Li C LÇ i i L L .L .L 11. L.-r Itl.UI

Format F10

11 - 20 Area of stiffener, mm2 Format F10

21 - 30 Thickness of web, mm Format F10

31 - 40 Depth of web, min Format F10

41 - 50 Distance between plate and centroid of 'flange area' mm Format F10

51 60 Span of stiffener, mm Format F10 One card for each stiffener is required.

where point i is located at a distance 5% of the total bulkhead height above the tank top, point 2 is 15%,

point 3 25% etc...

N.B. The pressures must be greater than 0.0.

To convert the heads in metres from LR 321 to tonnes/m2

mu1ti1y by the density of the licuid in tonnes/m3 i.e. sea water p = 1.025 and head. = 17.6 in gives the

pressure 1.025 x 17.6 = 18.04 tonnes/m2 Card 5 Cols. 1 10 Pressure in point

Format F10 1, tonnes/m2 11 - 20 21 - 30 n 2, 3' 31 - 40 I' 4, 41 - 50 51 - 60 61 - 70 71 - bu I, I, u h 5' 6, 7 8, Card 6 Cols. 1 - 10

11-20

" ' 9, 10

(8)

'j EX?'.MPLE

The nractical ue

G

I-h _-. 4 - _-'---.

by an actual preparation of the input data. For this

purpose a detail of a bulkhead has been chosen, Fig. 1, with the corresponding input in Fig. 2.

5.

OUTPUT

The program first lists all the given input data

starting with the plating and then the stiffeners. Fig. 3

After this comes 'Total height of p]ate-f leid = ' and

'Difference between total height and last stiffener =!

where the first value is the sum of all Platel's and the second is the difference between the total height and the sum of all Space's and thus reoresenting the spacing between, in this case, stiffener No. 31 and

the top of the bulkhead. Then follows the pressure with

its allocated positions.

The calculated values of the collapse pressures for

the panels, eq. (1), the stiffeners (bending) eq. (2) stiffeners (bending, taking shear into account) , eq.

(3), and stiffeners (shear), eq.(4), are then listed.

Next. the program compares the given pressure distribution

with the calculated minimum collapse pressures and gives the results as a safety factor against collapse.

Finally, the result is presented in a graphic display. where the y-axis represents the bulkhead and the

x-axis is the pressure. The bulkhead plating is plotted by minus signs and the stiffeners by the I's. _The

given pressure distribution is represented by 0's,

the collapse pressure of the panels by stars and collapse pressure of the stiffeners by pius-signs.

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f; - NÛMTNrT.ATTTP

7

Breadth of

p]t nne1

Width of load-bearing plating

Collapse pressure in bending for stiffener

C = Location of plastic hinge from midpoint 6f span

Cu = Collapse pressure in combined bending and shear for

stiffener

= Depth of web

Pu = Collapse pressure for plate panel

s = Span of stiffener or plate panel

Collapse pressure in bending and shear for stiffener

Plate thickness

Thickness of web

Plastic modulus of stiffener

d

= Constribution of web to plastic modulus =

2 Zp L w Arctan s a = Yield stress y

T = Critical shear stress

cr = t =

t

= Z = b = b1 = B =

(10)

7. REFERENCES

L. VINER, A.C. "Plastic Design and its Application to

Ship Structures"

Lloyd's Register of Shipping, 1967.

ROCKEY, K.C. and SKALOUD, M. "The Ultimate Load Behaviour of Plate Girder Loaded ïn Sheer"

Struct. Eng. Vol. 50, No. 1 Jan. 1972. p. 29-47.

BLIXELL, A. "Calculation of Wall Pressures in a Smooth Rectangular Tank due to Movement of Liquids".

Lloyd's Register of Shipping, R. & T.A.S. Report No. 5108 1972.

«

A. Blixell,

Suxveyor to Lloydt s Register

of Shipping t)

.1. Mathewson,

iincipal Surveyor to

(11)

8. MODIFICATION

Program LR 330 has been modified as follows.

A new card precedes the data in order to define the number of complete data sets to follow.

Input then consists of:

Repeated NRUNS times CARD O i-CARD i CARD 2 CARDS 3 CARDS 4 CARD 5 CARD 6 CARD i CARD 6 ¼.

-9--NRTJNS in columns i - 3, Format 13

(12)

t= 1 t = 10, = 13,0 ,

t= 19,0

t

2,5

L _J

31 18

L7_L\

16 15 14 13 12 2190 All measurements in mm q t!) CN 26 25 23 22 21 20 19 18 17 16 15 CN co 'cl-CN I h05_%JU 29L.. 27 Lt) 10 co 'cl- ₉ CN 8

/

7 6 co I CN 2 685 685 685 684 728 728 728 728 728 728 727 687 687 687 687 687 738 738 737 737 675 675 675 675 600 'I _cno 600 600 734 733 733

Fig I DETAIL OF BULKHEAD UNDFR CONSIDERATION

ri

]

ne; No Stiffener No 14 LO co N 12 11 t = 15, t ¡

]

j

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LIOVO'S REGISTER OF SMIPPING

FIG. 3 CONT.

TEST CASE

COLLAPSE PRESSURE FUiR PANEL NO

I IS

134. 5? TONNE S/M2 USPG PANELT= 2550 MM

CUtLA°Sr PRESSURE FOR PANEL NO

2 Is

13'.592 IONNISIM2 US NO PANEL T 2 .. 50 MM

COLLAPSE PRESSURE FUR PANEL Nf)

3 Is

134.253 T1iN"iES/? US NG P.\Nï-L t= 25.50 MM

COLLAPSE PRESSURE FUR PANEL NO 4 ¡S 145.638 TONNITS/M2 USYNG PNELÍ= 22.09 MM

COLLAPSE PRESSURE FOR PANEL NO 5 IS 107.805 TONNES/M2 USING PANFLT 19.00 MM

COLLAPSE PRESSURE FOR PANEL NO

6 Is

107.805 TONNES/r12 USiNG PANELT= 19..00 MM

COLLAPSE PRESSURE FOR PANEL NO 7 IS 107.805 T1NNES/M2 US1NG ÎANELT 19.00 MM

COLLAPSE PRESSURE FOR PANEL NO

3 Is

73.7C2 TUNNES/M2 USING PANELT= IP.. 10 MM

COLLASSE PRESSURE FOR PANEL N 9 15 () 455 TONNE S/M2 USThO PANELT- 17.00 MM

COLLAPSE PRESSURE FOR PANEL NO 10 IS 69.455 TI1NNES/M2 USING PANELT= 17.00 MM

CÍ)LLAPS E PRESSURE FOR PANEL NO 11. IS 69.s 55 TONNE S/M2 USING PANFLT 1.7.00 MM

COLLAPSE PRESSURE FOR PANEL NU 12 IS 48.737 TiJNNES/r12 USING PANELT= 15.42 MM

CflLLAPSE PRESStJE FOR PANEL NO 13 IS 46.115 TONNFS/M2 USING PANELT= 15.00 MM

CUILA0SE PPSESSJRE FOR PANEL NO 14 IS 46.003 TONNE SIM? USING PANELT= 15.00 MM

COLL4SE PRESSURE FOR PANEL NU 15 IS 43.462 TUNNESIM2 USING PANELT 14.58 MM

COLLAPSE PRCSSURE FOR PANEL NO 16 IS 45.615 TONNFS/M2 USIN(; PANELT= 14.00 MM

CL)LLASE PRESSU E FOR PANEL NO 17 IS 45.615 T1)NNES/N2 USING PANELT 14.00 MM

COLLA0SE PRESSURE FOR PANEL NU 18 IS 45 615 TONNE S/M2 uS!N'; PANZLT 14.00 MM

COLLAPSE PRESSURE FOR PANEL NO 19 IS 40.342 TONNES/M2 USING PANELT= 13.17 MM

COLLAPSE PRFSSLJRE FOR PANEL NO 20 IS 39.331 TONNE S/M2 USING PANELT= 13.00 MM

COLLAPSE PPFSS'JRE FOR PANEL NO 21. IS 351,99 TONNFS/M2 USiNG PANELT 13.00 MM

COLLAPSE PRESSURE FO PANEL NO 22 IS 33.711 TONNES/M2 USING PANELT= 12.68 MM

CnLLAPSE PRESSURE FOR PANEL NO 23 IS 30. 17 TIJNNES/M2 USING PANELT= 12.00 MM

COLLAPSE PRESSURE FOR PANEL NO 24 IS 30.173 TONNES/M2 USLNGPANEL'T 12.00 MM

COLLAPSE PRESSURE FOR PANEL NO 25 IS 30.173 TONNES/M2 UsiN; PANELT 12,00 MM

CILLA PSE PSE SSURE FOR PANEL NO 26 IS 21.779 TONNES!M2 USING PANELT 10.20 MM

COLLAPSE PRESSURE FOR PANEL NO 27 IS 20.954 TONNES/M? USING PANELT'= 10.00 MM

COLLAPSE PRESSURE FOR PANEL NO 28 ¡S 23,459 TONNES/M2 USING PANCLT 10..00 MM

COLLAPSE PRESSURE FOR ANEL NO 29 IS 22.487 TONNES/M2 USING PANELT 9,80 MM

CULLAPSE PRESSURE FUR PANEL NO 30 Is 21.116 Tf)NNLS/M2 USNG PANFLT 9,50 MM

COLLAPSE PRESSURE 1-OR PANEL NO 31 15 21.116 TONNES/M2 USING PANELT= 9.50 MM

(15)

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36TA CHCK

LLOYD'S REGISTER Cf SHIPPING RUN ON 241 7172

S3 VIL0= 25.00 KP/MM2 I-300. 21000.0 V.P/MM? NUÙ.30 DEDUCTION F01 PUTE COflR0SICN 0.0 MI

OfTA FOR PLATTN

PLATT NO= 1 PIATEL" 243'.O MM PLATTT 25.5 MM

PIF NC 2 Pt8TEL 2413.0 MM PLAT'T" 19.0 MM

P(.T' NO= 3 PLATFL= 2435.0 MM PLATET 17.0 MM

PI ATE N'J 6 PL6TEL 2435.0 MM PLATET 15.0 MM

p3 .,7f 5 Pt.ATEL. 2435.0 MM P11117" 14.0 MM

PLTJE 33= 4 P3ATEL= 2435.0 MM PIATET" 1.O MM

'L ¶3

P ITT N)» 7I PLATEI,PlAT E3=

24s.O

z43:;.)

MN PLAFEI 1'.r'

MM PLATh' 1'.O MM

PLATE 4J T P3.ATEL" 2374.0 14M P13111= Q,5 MM

DATA FOR STIFFENEPS

SI IF' '33= 1 SPSCFS= 733.') MII 89E85» 5420.0 14442 MEAT' 12.0 MM 346ß0=320.0 M'I OO-NE-310.0 MM SPAN»

2190.0 ElM

ST!í '33= 2 SACES= 733. '1 MM MATAS" 5420.0 '1142 NEST 12.0 MM TB0=32O.0 M'I DONE»JIO.fT MM SPAN- 2190.0 MM

513FF 3cT= 3 SPACES» 734.0 MM APEAS= lOTTO.') M'47 3.1331= 12.0 MM WEBD=900.0 PM DUNE" 0.0 MM SPAN=

2190.0 MM

ST 3FT NU" 6 SP..CT 63i.) MM AREAS» 5150.0 P147 WIBT 12.0 MM kIOD=301.O MM DOIulh=290.0 MM SPAN- 2190.0 MM

Sill-F 33= 5 S23CFS= 600.)) MM AliTAS. 5150.0 14M2 145i3T 12.0 MM .lLiOT=301I.O MM DONE-290.O MM SPAN- 2190.0 MM

SI III 3= 6 5'ACES= 600.1) 'IM AREAS" 515G.O T'V2 W1ß1 12.0 MM Mrqo=309.3 M.,'j 0O)4E=290.0 MM SPAN" 2190.0 MM

5T IF Nfl= 7 .scrs= 6)O»u MM t,E3S 11)330.0 14M2 IuIrBT' 12.0 MM .1 1A09011.') 149 00131= 0.0

.1414 SPAN» 2190.0 14"

STIFF ,rj= " S2CFS 671.0 MM AFEAS" 513.0 14U7 WISE" 12.0 MM 4M333 1. -.3 01 OONF=21I.0 MM SPAN 2190.0 MM

STIFF NO" 9 5fl5= 675.3 AM APEAS" 5150.0 MTM? WEIIT" 12.0 MM rilflD=30l.O MT4 DONE=21O.O MM SPAN» 2190.0 P314

SNFÍ NP- I'l SP'E5" (.75. ) 'IM 3FAS= 5150. 0 M"2 SF0T 12. 0 0M WL3O=3U. :1 3)14 O)lNr=200.0 MM SPIN" 2150.0 MM

Si Irr vT= li S'ACFÇ= 475." t14 .AFF.55= 113)00.0 P47 .IFAT" [2.4 14 f =Q3.I) M'I 0001= 0.0 MM SPÍ4N= 2IOC.0 MM

STIFF '3J= 12 S'ICFS 737.0 MM A)T\S 455C.O 3392 WEPt" IZ. MM WE "2í1O.O MM 0091=270.0 MM SPAN» 2190.0 14M

STIFF 13 SPACES" 737.':l 'i" AEAS= 4550.0 MM? WTAT= 12.3 MM liENl)=23).O MM DONE=270.O MM SPAN" 2190.0 3-M

CrIIF £'j 34 S94CES= 73PI) MM ATAÇ= 4551.0 F1142 WEBT" 12.0 MM 41113r3=200.o M OON[=270.O MM SPAN 2190.0 MM

STIFf- NJ= 13 S'ACíS= 7)".) '414 AFfAS= 1'I900.Ø )M2 WIllI" 12.0 MM .Fb0=9U. 1 TIM DUNE» 00 MM SPIIu. 2100.0 MM

SITTE Mj 3'. SPRCES= 637.3 414 AREAS» 455C.l) M'12 .451' 12.0 MM WFB0=2rfl.1) TIM OONE2TO.O UM SPAI4 2100.0 ElM

ST 1F i3= Il SPA[[ S. 6417.) MM ARIAs» 4550.1) F'M2 Wí111= 12.) MM .,F83.2iI.') MM fl0NE?70.O MM SPAN" 2100.0 TIM

STIFF 0rj 1 S"A'ES= SF7.) MM ATEAS" 4550r) MM? WhujT 12.') MM W53U=?0.)) MI 0))N1270.0 HM SPAN"

2100.0 F.M

STIFt rJ= 1" SPACIS= 6P7,3 MM AREAS» 435.1.0 M? WI41T= 12.0 MM .FB1)=230.I) T114 0091=210.0 MM SPAN" 2190.0 MM

STIFF '«1= 2') SPACES= 6437.) MM A'EAS= IOI'flO.O F1147 14501" 12.0 MM WFRD033,O MA O11'41= 0,0 TIM SPAN" 2190.0 11M

SI III- 0')" 21 Si'.SCFS= 727.0 MM tu4L8S 4131.O 14142 144311= 12.0 MM WL1)0"2h)-.u) TIM DON4"250.O MM SPAN» 2190.0 TIM

ST III '.0- 27 S'CFS= 7.3.) MM ASTAS» 4130.0 MII? wEOi= 12.0 MM WF.f3P=261.) MM DONE=250.O MM SPAN» 2190.0 MM

STF" Nl" 23 723.0 MM APEAS 4)10.3 '42 WÍI1T= 12.0 M" Wt:t'3261.O 11M 0031=250.0 MM SPAN 7100.0 MM

STiFF N-)» 24 50(r5, 72M..) MM APAAS= 413).0 MM? 1441i= 32.3 33M W[53=2b',I) PIll 9004=250.0 MM SPAN 2100.0 MM

5IT'r ou= 25 SPAC'5= 7241.) MM AlFAS" 4130.0 1'32 WHII 12.' MM ,FBD=2),.)) )M 0001=250.0 MM SPAN- 2100.0 PM

STIFF O= ?'» SPSCES= 723.0 MM AkAS= 4130.0 MM? WFOT 12.3 M'I ¿[ITD=26T.I) '114 01)91=250.0 MM SPAN- 21c0.0 MM

STIFF Pc= 27 SPICES" 729.j MM APE4S= 10300.0 P3142 MtB!= 12.0 MM nFbD=90.0 31M 000E" 0.0 MM SPAN" 2100.0 11M

TFF Nr)= 21 SPACES 684.) MM AREAS" 3730.0 14112 3'1BI' 12.0 MM 00=241.0 MM OONE=230.O MM SPAN" 2130.0 MM

511Fr NJ= 2 ¶PAIE5= 6415.3 14M AREAS= 3130.0 0142 14481' 12.0 MM 34E1IO=?4C.O MM DONT-230,0 MM SpAN» 2190.0 31M

ST II-' 111= 3) S"ACF S" 685.) MM APTAS" 3730.0 MM? WEBT" 12.0 MM WEBO=2','J.0 TIM 000E=230.0 MM SPAN- 2100.0 MM

S11'F KO= 31 SPACES= 685.0 MM AREAS" 3730.0 F1132 WFDT- 12.0 MII 11E60=240.0 TIM 0011E230.0 MIE SPAN- 2190.0 13M

TIllAI )-4T!C.H1 O- PIATEFIFID" 222O'.0 MM

DIFF-EPFICF 8TTWEF'3 11)181 HElr,HT AND LAST STIFFFNER= 615.0 MM

DAT. FO "SSU1

PuNi I.h1 t 1)IiIujI) 1111.2 MW ARFVF TANK TOP PI3SSURF= 36.39 TONNESIM2

p)I'ir ul= 2 L('C1,TI0N= 3353.6 4M AI!V1 TANM TOP PPFSS'JilE. IL.hO TUNNIS/M2

P'IeT TU)» 3 LFICAIIU'.= 55'l .0 14M 'BuyE TANK TOP PIF SSIJRE' 2'?. 31 TUN'lE S/M2

P11,1 '43' 4 LirAi IuI',= 771.4 MM Pulr'VT TANK TOP PRFSÇII.i[= 25.61 TONJF Sf142

P1'INT '-4fl 5 Lt)CATT(r,= 911 .8 IM 5f46VE TANK TOP PF ESSORE" 22. 3 10395.5/142

PI) Nr M1 6 L)JCAT!)l'i= I 271 2.2 MM AAUVL TANK TOP PPl-ÇT)JPF 11.17 YIJT4NES/142

PO!.T N3 7 LJJC!.TI )N 14A. 2.6 MM Al(IVI- TANK TOP PlAT-5508E' 16.00 TUNNES,'M2

PU 191 i3= q LOCAl TOri= 16413.0 MM 1611V1 lANK TOP PPESÇU4AT. 13. 1 11109F 514

PU INT 'l'i" q LOCA TII= 188 T34 MII ABPVF TANK TOP PP.t55tJ88= 10.35 TONT3FS/142

(18)

FIG. 3 CONT.

TEST CASE LLOYD'S REGISTER OF SHIPPING

C)LLAPSE PESSUE C ENOINS) FflR STIrFFNF' NO I I S 143.412 TUNNESIM2 USING ZEDP= 1260428.0 MM3

COLLAPSE PRSU'E L ENSIN(;) FC STIFEEER NO 2 IS l't3.314 TUNNES/M2 USING ZEOP= 1210429.0 M:3

CDLLASE

sw

E\oIN';) F STI Nf) I Is 23.574 TUN\ES/M2 USING ZEOP= 5027C19.0 M3

COLLAPSE PRESSURE t END1f4G) F(J. STIFFENER NO 4 15 152.331 Ì'JNNES/M2 USING ZEDP 1095891.0

M3

COLLAPSE PRESS'JRE (ENDING) FUR STIFFENER NU 5 IS 153.404 TUNNESIM2 USING ZEOP= 1082637.0 MM3 COLLAPSE PRESSURE t EN91NG FUR STIFFENER NO 6 IS 150.434 TONNE/f'12 USING ¿EDP 1082607.0 MM3 COLLAPSE PRFSSURE C ENDING) FOR STIFFENER NO 7 LS 649.524 TONNFS/M2 USING ZFDP

4964821.0 MH3 COLLAPSE PRSSURE (OENDING) FÜR STIFFENER NO 6 IS 132 3)2 TONNE S/M2 USING ZEDF= 1070776.0 MM3 COLL'PSE PRESSURE ( .ENDINrS) F[1 STIFFENER ND 9 IS 131.771 TONNES/ri2 U;ING

EDP= 1066477.0 MM3 COLLAPSE PRESSURE (;ENDING) FUR STIFFENER NO lO IS 131.771 TONNESIM2 USING ¿EDP 1066477.0 M3

COLLASE PRESSURE ( FNOING) FOR STIFFENER NO 11 I S SE'1.543 TONNES/M2 USING ¿E1JP= 4922829.0 MM3

COLLAPSE PRESSURE t 3ENDNG) FOR STIFFENER NO 12 IS 95,.539 TONNES/P2 USING ZEÜP= 853100.2 M3

COLLAPSE PRESSURE (:3ENOING) FOR STIFFENER NO 13 IS 96.310 TONNES/M2 USING ZEDP= 051652.9 HM3

COLLASE PRESSURE t ENDING} FUR STIFFENER NU 14 IS 96,093 TONNES/M2 USING ZEflP

850220.8 MM3

C)LAPSE PPSSURE (ENDING) FUR STIFFENER NU 15 IS 565.591 TUNNES/M2 USING ¿EDP= 4931817.0 MM3

COLLAPSE PRESSURE (EnIr.IG) FUR STIFFENER NO 16 IS 102.577 TONNE:S/M2 USING FOP= 844955.3 MM3 COLLAPSE PRESSURE C ENOIrG) FCR STIFFENER NU 17 IS 102.577 IONNES/N2

USING ZEI)D 844955.3 3

COLLAPSE PRESSURE t ENUTN;) FUR ST 1FF ENER NI] 18 IS 102.249 TI)NNES/12 USING ZEDP 842252.3 MM3

COLLAPSE P2ÍSSIJRE L ENDING) FOR STIFFENER NO 19 IS 101.864 TUNNES/M2 USING ZEOP=

839091.5 NM3 COLLAPSE PRESSURE fENTJING) FÜR STIFFENER NO 20 IS 559.146 TUNNES/M2 USING ZEDP= 4739943.0 MM3 COLLAPSE PRESStJE (:EDlNG) FUR STIFFENER NC) 21 IS nJ. 567 TONNE S/M2 USING ZEPP= 702778.1 MNI3 COLI APSE RESSURE t EDIG) FOR STIFFENER NO 22 IS 81. 173 TUNNES/M2 USING ZEDP=

699825.3 MM3 COLLAPSE PRESSURE (3ENDING) FO. 5T1FFFNR' NO 23 IS 79.947 TONNES/M2 USING ZEOP= 697849.4 MM3 COLLAPSE P[SSt1E (OENDING) FUR STIFFENER N!) 24 IS 79.947 TUNNE5/82 USiNG ZEDP= 697849.4 MM3 COLLAPSE PRESSURE C IENf)INc,) FOR STIFFENER NO 25 IS 7. 369 TfiNNE.S/M2

USING ZEDP 692806.9 M3

COLLAPSE PRESSUE f FNDING) FUR STIFFENER NU 26 IS 79,702 TUNNFS/M2 USING ZEOP

637509.7 MM3 COLLAPSE PRESSURE t :ENDI) FUR STIFFENER NO 27 IS 523,359 TONNES/M2 USING ZEDP= 4430292.0 MM3

COLLAPSE PPSESSURE (.:ENOING) FOR STIFFFNER NO 28 IS o.3Qó TUNNES/M2 USING ZEDP= 563816.9 MPj3

COLLAPSE PRESSURE (EN0ING FOR STIFFENER NO 29 IS 69.108 TONNES/M2 USING ZEDP= 567605.1 MM3

COLLAPSE PRESSURE (lENDING) FOR STIFFENER NO 30 IS ó9019 TONNE:S/M2 USING ZEDP= 566878.6 MM3 COLLAPSE PRESSURE (3ENDLNG) FOR STIFFENER NO 31 IS 69.019 TONNES/M2 USING ZEOP 566878.6 MM3

(19)

FIG. 3 C0NT

TEST CASE LLOYD'S PEGISTER OF SHIPPPG

CLL'.PS pRrSSUlE (BENn1NG, TAKENG SHEAR INTO ACCOUNT) FOR STIFFENER NU i IS 54.395 TUNNES/M2

CJLLAS .prFSSURE

(flE1)!N,

rKrNG SHEAR INTO ACCU'JNl) FUR STIFFENER NO 2 IS 54.357 TONNES/M2

COLLM'SE PRE5SJkE (BEM)INC', TAKING SIEAR INTO ACCOUNT) FOR Siti-FENER NO 3 IS 127.261 TONNES/M2

CflLLAPSE pRrESSURE (ßEr)ING, TAKING SH[AP INTO ACCUJNT) FOR STIFFENER NO 's IS 60.991 TONNES/M2

COLLASE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 5 IS 60.528 TONNES/M2 COLLAPSE PRESSURE CBF.NDTNG, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 6 IS 60.528 TUNNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 7 IS 132.231 TUNNES/M2 CiLLAPSE PRESSURE (RENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 8 ¡S 53.434 TONNES/12 COLLAPSE PRESSURE ( flEDINr,, TAK ING SHEAR INTIJ ACCOUNT) F OR ST 1FF ENER NO

9 IS 53.299 TDNNES/M2 COLLAPSE PRESSURE (!3ENPING, TAKING SHEAR INTO ACCOUNT) FUR STIFFENER NO lo IS 53.299 TONNES/M2 C1JLLASF PRESSURE (OENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO il IS 118.838 TONNES/M2 CI1LLAPSE PRESSURE (BENDING, TAKING SHEAR ZtT3 ACCOUNT) FOR Si IFFENER NO 12 IS 42.420 TrJNNES/M2 COLLAPSE PRESSURE ( P,ENI NO, TAKT NG SHEAR INTO ACCOUNT) FUR ST IFFENER NO 13 IS 42.345 TONNES/MZ

COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 14 IS 42.271 TONNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 15 IS 116.536 T1]NNESIM2

COLLAPSE PRES5UPE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 16 IS 45.223 TUNNES/M2

COLLAPSE PRESSURE (BENDINO, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 17 IS 45.228 TONNES/M2 COLLAPSE PRCSSIJRF (BENDING, TAKING SHEAR INTO ACCUUNT) FOR STIFFENER NO 18 IS 45.135 TIJNNESIM2 COLLAPSE PRESSURE (rENo1NG, TAKING SHEAR INTO ACCOUNT) FOR Si IFFENER NO 19 IS 45.026 TONNES/M2 COLLA°sr RSSUPE (BENDING, TAKiNG Srl[AR INTO ACCOUNT) FOR STIFFENER NO 20 IS 116.192 TONNES/M2 CDLLAPSE PRESSURE (EN0ING, TAKING SHEAR INTO ACCOUNT) FC STIFFENER NO 21 IS 37.942 TONNES/M2 COLLAPSE PESSURE (BENDING, TAKING SfIEAP INTO ACCOUNT) FOR STIFFENER NU 22 IS 37.812 TONNFS/M2 COLLPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FUR STIFFENER NO 23 IS 37.742 TONNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFrENER NO 24 IS 37,742 TONNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 25 IS 37.563 TONNFSfM2 COLLAPSE PRESSURE (PENDING, TAKING SHEAR INTO ACCOUNT) FUR STIFFENER NO 26 15 37.374 TONNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR Si 1FF ENER NO 27 IS 112.044 TONNES/M2 COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 28 IS 35.089 TONNESIM2

COLLAPSE PRFSSURE (BENDING, TAKiNG SHEAR INTO ACCOUNT) FOR STIFFENER NO 29 15 35.014 TONNES/M2

COLLAPSE PRESSURE (BENDING, TAKING SHEAR INTO ACCOUNT) FOR STIFFENER NO 30 IS 34.984 TONNES/M2

(20)

FIG. 3 CONT.

TEST CASE LLOYD'S REGISTER OF SHIPPING

Cr)1LAPS PRSSURF SHFAP) FOP STIFFENEP NO I IS 59.702 TONNE S/M2 USING TAJCR= 14.249 KG/MM2

CLLAPS PRESSUNE 5H AR FOR ST Tr: NJ 2 15 59. GEl TJJNE Sf42 USING TA'JCR= 14.249 KG/1M2

COLLASr PPJESSJRE (SHiM') FOR STIFFENER NO 3 IS 13F. I 5 TONNFS/M2 USING TAUCR= 13.400 KG/Mr2

CCLLSE PRESSURE (SHEAR) mR STIrFENER NC) 4 IS 67.931 TONNES/M2 USING TAJCR= 14.270 KG/1M2

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO

5 Is

67.931 TUNNES/M2 USING TAUCR 14.270 KG/MM2

Ct)LLA!SE PRESSURE (SHEAR.) FOR STIFFENER NO 6 IS 67.931. TONNES/M2 USING TAUCR= 14.270 KC,IMM2

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER Ni) 7 IS 207 321 TONNE S/12 USING TAUCR= 13.400 KG/MM?

COLLAPSE PRESSuRE (SHEAR) FOR STIFFENER ND 8 IS 6C.383 TONNES/i2 USING TAuJCR 14.270 KG/'"i2

C1LLADSE PPcSJR[ (SHEAR) FOR STIFFENER N) 60.383 TONNE S/2 USI NG TA1JCR= 14.270 KG/MM2

COLLAPSF pLSSUrE (SHEAR) FOR ST 1FF FNER NU IO IS E.3S3 TONNES/M2 USING TAIJCR 14.270 KG/'1M2

COLLAPSE PRESSURE (SHEM') FOR STIFFENER NC) 11 IS 107.206 TONNES/M? USING TAIJCR= 13.400 KG/M12

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO 12 IS 52.1.67 TONNE S/t2 USING TUCR= 14.290 KG/MM2

CCLLA°SF PRESSURE (SHEAR) FOR STIFFENEPS NO 13 15 52.131 TONNES/i2 USING TAtJCR= 14.290 KG/MM?

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO 14 IS 52.096 TONNE S/M2 USING TAUCR 4.290 KG/Mi2

C.flLAPSE 'RESStJ8E SHEAR ) FOR SI IFFENFR NO 15 iS 105.498 TONNES/M2 USING TAUCR= 13.400 KG/M2

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO 16 IS 5.964 TONNE-S/M2 USING TA1JCR=

14.290 KG/i2

COLLASF PRESSURE (SHEAR) FOR STIFFENER NO 17 Is 55. 964 TONNE S/N2 USING TA'JCP. 14.290 KG/MM2

COLLAPE PRESSURE S11EAR) FOR STIFFENIR NU 18 iS 55.964 TONNES/M2 USING TAUCR 14.290 KG/MM2.

COLLAPSE PRESSURE (SHEAR) FOR STiFFENER NI) 19 IS 55 964 TONNE S/M2 USING TAUCPS 14.290 KG/MM2

CUELAÍ'SE PRESSURE (SUEAP) FOR STIFFENER NO 20 IS I 66 941 T]NNE S/M2 uSING TAIJCR= 13.400 KG/MM2

CCLLASE PRE:SSU E ( SHEAR FOR ST IFFENE? NO 2]. 3 4.lP3 TUNNES/M2 USING TAIJCR= 14.309 KG/MM2

CPLLAPSF PRESSURE (SHEAF) FOPS STIFFENER Nfl 22 IS 40.159 TONNES/M2 USING TAUCR= 14. 309 KG/MM2

COLLAPSE PP.ESSURE (SHEA) FOPS STIFFENER NC) 23 IS 'iS.15) TONNES/N2 USING TAI16R= 14.309 KG/MM2

COLLAPSE PRESSURE (SHEA?) FOR STIFFENER NJ 24 IS 49.].59 TONNES/M2 USING TAUCR= 14.309 KG/M12

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NU 25 IS 49.150 TONNES/M2 USING TAUCR 14.309 KG/MM?

CflLLM'SF PRESSURE (SHFAR) FOR STIFFENER NO 26 Is 49.159 TONNES/M2 USING TAUCR= 14.309 KG/MM2

CÍJLLA2SE PRESSURE (SHEAR) FOPSTFFENER NO 27 IS l8T.20G TUNNESIM2 USING TAUCR= 13.400 KG/MM2

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO 28 IS 4,363 TONNES/M2 USING TAUCR= 14.327 KG/MM2

COLLAPSE PRESSURE (SHEAR) FOR STIFFENER NO 29 IS 43.327 TONNES/M2 USING TAIJCR= 14.327 KG/MM2

COLLAPSE PRESSURE ÇSHEAR) FOR STIFFENER NO 30 IS 48.327 TUNNES/M2 USING T4UCR= 14.327 KG/MM2

(21)

LLOYD'S REGISTER OF SHIPPING

FIG. 3 CONT.

TEST CASE

SAFETY .CHEC AGAiNST C:LLAPSE

PA!\EL NO 1. HAS SAFETY FACT'lR= 3.57

PANEL NO 2 HAS SAFETY FACTUR= 3.70

PANEL NC) 3 HAS SAFETY FACTOR= 3.81

PANEL NO 6 HAS SAFETY FACTOt= 4.25

PANEL NO 5 HAS SAFETY FACTOR 3.25

PANEL NO 6 HAS SAFETY FACTIJR 3.35

PANEL NO 7 HAS SAFETY FACT1R 3.46

PANEL NO 8 HAS SAl-FrY FACT1)R= 2.62

PANEL NO 9 HAS SAFETY FACTOR= 2.39

PANEL NO iO HAS SAFETY FACTOR= 2.'48

P'IEL NO li HAS SAFETY FACTflR= 2.58

PANLL NETI 12 HAS SAFETY ÍACTtJP= 1.8 rj

PANEL NO 13 HAS SAFETY FACTQR 1.87

PANEL NO 14 HAS SAFETY FACTOF'= 1.95

PANEL NE) 17 HAS SAFETY FACTOP 2.22

PNEL NO 1 HAS SAFETY FACTflR= 2.33

PANEL Nil 19 HAS SAF FlY FACTOR= 2.17

PANEL NO 21 HAS SAFETY FACT.JR= 2.13

PANEL NO 23 HAS SAFETY FACTOR= 2.06 PANEL NC) 24 HAS SAFETY FACTORr 2.20

PANEL ND 25 HAS SAFETY FACTOR= 2.37

PANEL N) 26 HAS SAFETY FACT1J= I 84

PANEL N3 27 HAS SAFETY FACT'JR= 1.91

PANEL NP 23 HAS SAFETY FACTOR= 2.32

PANEL N) 30 HAS SAFETY FACTOR 2.49

(22)

LLOYD'S REGISTER OF SHIPPING

FIG. 3 CONT. TFST CASE

S4FTY CHECK A'AINST COLLAPSE

TIFF[NF' N) I HAS AFÍTY FCTflR= I 47

STIFFENER t'i 2 HAS IAETY FACTU= 1.52

STI1FENE MO 3 HAS 'AFETY FACTO= 3.56

STIFFENER NJ ¿t HAS SAFETY FACTUR= 1.S1

STIFFENSR NO 5 HAS AFLTY FACTUR= 1.35

STIFFENER NU 6 HAS :.AFETY FACTOR= 1.91.

STIFFENER N') 7 HAS ;AFETY FACTI)R= 4.32

STIFFENER NI) 8 HAS ,;AFETY FACTOR= 1.81

STIFF ENER NO 9 HAS ;AFETY FACTRR= 1.87

STIFFENER NI) lo HAS SAFETY FcTt1p= 1.94 ST I FENER NO 11. HAS ;AFETY FACTiR= 4,51

STiFFENER Nr) 12 HAS AFETY FACT[)R= 1.68

STIFFENER NU 13 HAS AFfTY FACtOR 1 75

STIFFENER NO 14 HAS .AF[TY FACTUR= 1.33

STIFFENER Nf) 15 HAS AF-ETY FACTOR= 5.29

STIFFENER NO 16 HAS F.4FETY FACT(P 2.1 S

ST1FF[JFR I)f) 17 HAS .t1FE1Y FACTOR 2.25.

srIrFENcR NO 18 HAS FAFETY FACTOR= 2.36

STIFFNE NO 1? HAS AFETY F.CTQR 2.43

STI-FNER NU 20 HAS SAFEÍY FCTO= 6. 1 8

STIFFENER NO 21 HAS SAÍTY FCtOr 2.35

STTFFENEP NU 22 HtS SAFETY FACTflR= 2 50

ST IFFNER NI) 2' HAS .AFETY FACTJR= 2 66

STIFFENER NU 24 HAS SAFETY FACTOR= 2..6

51 IFENEP NJ 25 HAS AFETY FAC IUR= 3.06

ST)FENER Nfl 26 HAS S..FETY FACT'IR= 3.23

STiFFENP NO 27 HAS AFLTY FACT- 10.64

ST!FFENE NO 28 HAS FFTY FACTd= 3.62

STIFFENEP. NO 29 HAS SAFETY FACT')R= 3.?',

STIFFENER NO 3C HAS 1AFETY FACTOR= 4.34

(23)

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