no. rev. no. reduction study page of … #296 - fastener...: • i ~ ' aerospace ' systems...

: • I ~

'

Aerospace ' Systems Division

ALSEP FASTNER REDUCTION STUDY

FINAL REPORT

ALSEP FASTNER

REDUCTION STUDY

Submitted in Partial Fulfillment of Requirements

of CCP 90

Prepared by: J. H. Owens, Jr.

Approved by: ----~~~~~~~~------------------M. gineer

/Thermal Engineering

NO. REV. NO.

ATM-816

PAGE OF

DATE October 17, 1968

,

ALSEP Sunshield Pallet

Fastener Tie Down Investigation

1.0 SCOPE

This report covers a design and analysis investigation of the ALSEP compartment #1 sunshield pallet fastener tie down system, with the purpose of reducing the number of fasteners that the astronaut must release at time of deployment.

2.0 REFERENCES

(1) Drawing No. BSX 7517 ALSEP Revised Fastener and Pin Pattern - Sunshield Pallet

(2) Drawing No. BSX 7518 ALSEP Revised Fastener and Pin Pattern - Thermal Plate and Primary Structure

{3) Introduction to Matrix Methods of Structural Analysis -H. c. Martin, McGraw Hill Book company.

(4) Inderdepar~mental Memo 68-210-24M "ALSEP Compartment #1 Fasteners Reduction Study"

(5) Interdepartmental 68-210-37M "Summary Report of Changes to ALSEP Structure to make Smaller Number of Fasteners Possible.

(6) Internal Memorandum 1/17/68 toT. Fenske from J. Maszatics, D. Dewhirst, Subject: ALSEP Safety Factors and Limit Load Factors.

(7) "Dynamics of Structures" - Walter c. Hurty, Moshe F.

(8)

(9)

(10)

(11)

Rubinstein, Prentice-Hall, Inc. Englewood Cliffs, New Jersey.

Drawing No. 2330203 - Primary Structure Assembly

Drawing No. 2330301 - Basic Assembly Primary Structure

Drawing No. 2335161 - Sunshield Sub-Package No. 1

Tridair Industries Drawing CA 2773, Bolt Positive Locking Quick Rttlease ,

l

-2-

(12) Bulletin No. 118 and 119 , "Analysis of Flat Plates by the AlgE"braic Carry OVE"r Method" - Tuma and Havner, Oklahoma State University.

3.0 SUMMARY

It is concluded that the fasteners around the edge of the pallet can be reduced from sixteen to nine and one of the center fasteners can be removed with a weight increase of approximately 1.75#. Modifications as shown on references (l) and (2) would have to be made to the structure.

The following changes outlined in references (4) and (5) are repeated here for convenience: ,

sunshield Pallet Ref. (1)

1. 0.020 aluminum reinforcing doublers added to top and bottom of pallet around edge.

2. 'I'Welve taper pins added around edge of pallet.

3. Location of corner fasteners changed to attach to attach to inner flange rather than outer flange.

4. Front edge member or beam changed from 0.050 to 0.070.

5. Necessary changes made to pallet to relocate fasteners.

Thermal Plate and Primary Structure - Ref. (2)

1. Locally upper flange of primary structure has been increased to 0.25 11 t.:tt each fastener and to 0.125" at each pin.

2. Inner corner flanges are increased to 0.25".

3. Changes to edge of thermal plate to accommodate pin and fastener locations are necessary.

In general, materials, type of hardware, etc. have been kept the same as existing structure. No attempt has been made to refine or change existing design except.as necessary for the fastener change.

-3-

Preload on each fastener should be the max.imum within the limits of the astronaut to apply.

4.0 ANALYSIS

4.1 Discussion

Th~ analysis conducted in this study wa~ done to determine whether the changes and modifications as proposed would deleteriously effect the dynamic characteristics of the ALSEP stnacture and whether acceleration transmissibilities would be increased.

In general it can be shown that deflections of the sun- ~

shield pallet will not be more severe after removing the fasteners then they were with fastenEn:s and that no serious increases in transmissibilities are to be expected. Also based on Ref. (6) dynamic inputs to ALSEP are reduced from those originally used for design.

The following pages of calculations obtain deflections for an assumed unit load of.l# per Inch along each edge and comparing the existing pallet to the modified design:--- Deflections for the modified design compare favorably to the exi~ting design.

The following changes were made which affect the dynamic characteristics.

1. Local pads are placed at each fastener attaching point on primary structure. This markedly reduces flange qeflections particularly along the front (Beam 3) . .

2. Edge members of pallet have been reinforced by adding a 0.020 doubler around the edge top and bottom. This reduces deflections between fasteners and results in the pallet behaving more like a plate supported uniformly around the edge rather than as a plate supported at a ser ie~ of co.ncentrated points.

This was deemed advisable due to the reduction of the number of fasteners.

3. Fasteners in center were reduced from three to two. This has little effect on the pallet deflections or thermal plate. Thermal plate deflections are further alleviated by taper pins which prevent movement.

-4-

4.2 Analysis Procedure

4.2.1 Pallet Edge Members

Each pallet edge member was assumed to ~ continuous beam with a unit load of 1#/in acting up along the am. Each fastener was assumed to be a support point. These support points deflected under load due to bending,of the ange of the lower beam, deflection of the lower beam and elongat of the fastener. This investigation showed that deflection of the r structure flange was much the greatest cause of llet mov~1ent.

Given the EI's of the beams and AE's of fastener~ deflections of the upper beam were deter ned pallet, for the pallet without edge re for

s;,ting for beams 1 a11d

2 and with reinforcing for beams l, 2 and 3. (see s 6) •

Final de4flection curves are given on peJ.gil.'J's No deflection curves are shown for beams 4 5 s deflections are far less than other beams.

32-34 t

A study of deflection curves shows t t with the new

1.

fastener, pattern d4!flections -would be equal to or below ting deflections and no pronounced increase in transrniss to be expected.

The procedure for preforming th was or 1 ~et up using Castigliano 's Least Work equatione (pages 13-15 1.). However a computer program available at Bend Aerospace Sy·stems Division based on a matrix method given in References (3) and (7) was found applicable and saved considerable labor,

The basic matrix relationships are from ref. {7} and are as followss

< p ! i I i.. .J

.{6! fJ[

.J

[ K !

r ' l-1 {a} i D! K = ! l '

~ .,

) : fJ l \-1 J Q 1 = ki K· ! t I : i L ' I

= matrix for element deflection~ and rotations

= displacement compatibility matrix which insures the connectivity of the system

= stiffness coefficient matrix

a matrix of applied forces

= internal force matrix.

-5-

Detail procedures for determining these matrices are also discussed in Ref. (3). Pages 13-16m~give a sample procedure.

Primary deflections were dye to movements at attachment points. Deflections were also computed between points of support and are included in the deflection curves. These deflectiGns turn out to be relatively small .

. Pallet

The Pallet was investigated to determine the effect of removing one center fastener. Referring to pages 34-39 incl. fastener A was removed and the load carried by.thisfastener was distributed equally to fasteners B and c.

Using tables given in Ref. (12) it was shown on the curves pages 38, 39 that this had no appreciable effect on deflections.

4.2.3 Thermal Plate

The thermal plate, although one center fastener has been removed, should be more satisfactory then the previous design. The regularly spaced taper pins, at closer tolerances, should reduce plate deflection. Based on the results of this investi­gation the third fastener was contributing little to plate ' deflection.

t

/

u: ) .

, •

4

DATI Z-2• 't!J PAOI-'.'_.;.:_ HftOIT....__.._ ___ _

IIOIIL AL~EP

·BEAM 2

. i I I

I I I i 1 BEAM 3

L-----------........;~....;..........;_~""""-----·--·-··---·.~··-····---

PLAN OF SuN5/-IIELD Plfu .. t..er-spoWIN~ LOC~ rlO 1"1 OF £lU:j!i' MEM~7~5

~~· 5E£ REF (I) /Jw~. BS x 75·17 FOR Ffi.STE'NI':,~ '- ac~TIONS.

0 PHPMID ., J. H a OAtl2-{-t! PAM 71 ~ OIICKIDaY __ _ .....,.,~.--....... -

() ...... , INOI.IIIINO IIPOIJ ~--.....,. _, .,.._ .. Dh1a'v•

... , ALSEP . .

-

A LS EP ~=~~rE!Vcl~ ~E'l;u.J~.,.-,o'" s-re.~1>Y.

Uf'lrr MOHEI"T'S J/J>EFLE.C//0/V~ FOR E-l>~E MEHBEE?..S V~IN~ Cr1!J~ft~~trn:>'$ 7H~t:J~~~ o,: LzA~r Wc.e~ .

: 1' f i 1' 1' 1 1· 'f 1 \ 1' . 1' 1 t 1: 1' "'\'. 1 T t t t 11 t 1 ~

F- ,. - ~"' :-16 !K• -=c:c-~p~er, 4 i~:-~;_. ---- B "'- !t<.1 il<~ -- --· -e~K:_~f ex, .

feoa LEM: • eH ·

4JII'/$r-J.· L.OPtPINC, OF W~N. ()Nit=ORM ON gh. ' DETE/f?/'-'71/'JE MOME/'11.$ ~ ?)Er:;_-cc:r;oNs oF 3 h 4 ~fl. A~5UHJN~ VALUES Cl= EI,) £I2) k~ Af'Jb I<'L ,

DJMENSJoN5 o.-b be. t:Tt.. WILL v,qte.f ) )

JAK.E ~~b) ~C ) l?J.D J Pe_E A.S £c/)VNDAJ'JT~

I. D c.TEIZ'MIN~ Pt>..A f, IfF '"" TE~M$ o;: w J J?ePU!Vi)Atvr~

(1) ~4; w~ (~ ~;) - ~l! (g)- ~~(~)-t~(~)·v~

( z) ~( w ;y.· ( ~ :F-)- ~,s(.:::)- ~c\~ )'- ~ D ( ~)- l'ef( ~)

(+) P. = f'._A( 4~)·+ PB(i¥)+-~c(~)._'l~})(jJ)+P,t{~)+J>+t-(fJ.) It ~ H t. t; H tj H . '1 T7 q H r 1H

5ua~i tTUTE (I) Jr· .. (~)A/'ll> (4.)

BxAUJ

,..,. ... •• J, fl. 0. I.OI .. IIIMO · IIPOif .,.,.2-1-118 ~r41111, .... ,:-...·A.,. 011a1•••---- .• , .. -.~tf:Uf:&'l'r ,.._,_._.,_. ___ _

"\ ) t.:•:;:.-;::;•~•·;.:;:=::::=.L.-..;·-.:;:· :;:-.. -~,· .• ·.-·. -·-------.1.:· ~:••:•~L .:::A::L:::~:E:::?==I ·AL5Ef> rA~rE/'IE~ 11!/Filvc:r-ION srt.JDr

\

/.)IV I r /1Ql·~IJI,T$ -~ ·.1:>61'4ic·?i/pil~- ''!~ -·~· MEM BE A!~ ' ·~- . . '. . . ~.

II 11oMENr £iiLRrloN4NIPS ;oil 'h ,

<s) M. & ~" ~0.. 1.

- z. t.,~..n:.:t. (~) M,._.: wt"" ,.. .7 .,.. ( w fi-- PA-,4 )~

(7) MIH. •• w~·- 1' .. 114:1 T ~t .. {..., ;t- ?._A -r.s ))C. M w ~l !_ P. - ). ( - p p 'I:) )

(8) c..d..: 2. - Po..Ao..c_- I»Bbc.. + w-: +- w~c.- &.A- oB-''-C x. '~1 . ' '

(q) M;.e. 11: • w! e - e_A a..cL - ~ 6bd - F;c c.cl +-UJ':'-+ ( w jcL- P;,_- ~B -~c- ~J>).x. -1., ~

whf w~.. -(1o) Mf~ = z- +- --;: + (whf -PfF)x

(11) f/ 1_ r = n~

I

{.A~ z.

• 5ui3STITUIE VALUES OF= pa_A t/.-lf!= FK-0~"-1 EQ. (I) ANP(2.)

JN (ca) THK u (I o) /IV<:: t. ustv5. . .l1r /'-"/c>l--1£1'·1'r- ~ELArJoNSHIPS ·FDR tf fl

(Jz) Me,~:: -~ x. (j :; ) MA 8 =- R" C?A + (- K'~ -t- FA c..) :r: . ..

(! 4·) M!c. e -1<?"1 ~ 8 +Po. f.i. AB + (P ()..A;+- ~B -K:.<i):x-(js) Mc..J:> = -R.r:.Ac.. + Po.-AAc + ~B ac t(Pa.~ + ~B +- ~c -i?r., )X.

(j r...) MDE "" - ~~ Az> +- p4.f1 At> r~a ""§] + 'Pc:.c C5 +(Pe...A 1- ,.8 r ~c r'dp-~;;)x

t'J ) M -R x. \(7 /-IF ::. /-4

(J s) l1Fr= = - Rt/-:[f:- +.(-!?.I> +-~F)x:. '

BxAU2

5ulJ;sr;TUT£ VALUE'S (1)1

(2) J (3)_1(4-} II'J (/z) THX:.(..)(IB) INC.L,

I< = ~

.. llt8tlllllllt8 IDOif OAta?.-1·'8 ,..., 2 - 9

011a1e • ., ___ _ !;,II I IJ A'!!.,,. I : • ..., ...... .._· -----;&11: •• ww~AI'nn · · ·

4\. ) t.:•~¥110=:_:•~" ===:.1..-..;..~~~-------..J··.:•:•:"";.:· ::A::'-::::S:E:P=:J '

)

·A LSEP FA~TG!VE2 Ji!Enoc.r!DN :srut:>y

UN II M OI-1E tJ/~ , bE!=I-EC. 110"!.4 F'O't., Et:x;E M'EMS.Ges

16 /..EAST Wae.~r::. £a.vArloN Cl b C' J..

(zo) W=2 ~.z:[ S(M1~)4clx. +- JM._b)~J.:x. +- S\MI>j,__c/..x -r 5(ttl-J.)2

cl)(. 1 j o... b e

e e ~ · A

+ jf(1dt)'dx + Yl1f~d.x. +- 5 (Mf~)~ +-fEz [ 5 {"1 Sd;x.. t- j~Ae)'"d.:>c. ti_ { ..., 2 ~ c, li

.c: D E ~ . b

+- jMe~"-b....+jlftofk + Jt'o.,)~J.x + fiMFe)'"d:x. +- s(HH,)dj B G l> F c.

SuBSTITuTe EauAT;otvs (1)) (z);(s)rf.IR.U(_I;);.NcL.; ANI>

(11.) I H .e .u (1 8) IN 'L 0 IN E ()( . ( 2 0)

Jl OBTAIN THe F_Oi..LOW,Nt!j J>A.e:r;r:tL J);FFE~cNrJHIJONS oF(2o).J

;f'ITE.ej>Z/il~ AND EQUATE 77::1 r&e.o.

¥I. FIND ?c...A 1

?b 8 , ~c). "F::L!J > Pef') ?fr:J Rr:, 14/'/r> 1./ u.s;tv~ e~e,..'4rtoN!J

(1); (2.) J!)j (4-)) (z. I) j (2. 2\ (2.. iL(:Z. +) ,

DE TeeM sN€ 13 G 1'4D 11--.J ~ HoMGN-rS V3t~N'J EavAr,oN s (5) IHi:U (II)

ANO (12) IHKU (It!!) FOt<!. X-::. 0 > X:. CAb .6.l b:.. :s'- &:TC., -::r:) z. ) 1: 2

.X: o...b A B bc. B c. ~TC..I ) '

BaAJO

.. I .. AHD • ., J. H. a INOINIIIINO IIPOit (

CMIOciD •"---­~, ) ft\'IICD aY

~ .. ~ ...... . 0 ._. ., ................ ..

.. ,.,.... . _. .. ALSEP ·

ALSEP EASTFNE~ J<~bucr1oN srv..DY I

UNIT MoMt.l"r~ ~ bE!=LEcnoNJ FOR:. El><lE MEMBCR.S

m OEFLECI/ON~ ...._ BEAM A a-DE FL€ c. T/ 0/'1 ItT A v ~ .,

A•

tr~A t P.,B iP,c f fJ~ tJ>o£_n tlJ': I

9 1··-- -- ...

·---8 D 1 K'c; A

c E F t . IZu

c; L,-_---~,_t'-_~-.. :.=.:::.:::.:.:::.:::-_-,:::-___:::-_-___:::-_-_-_ -----_:-_,~-=====-------------::1 u f~,_"'""AJ! B C l> E Ff C}A

~ o;H r K~~· ~ ,

' ) -nn AH c,-;; L /1- ~ \y

: - - M .,-- ' ~- ) J-AB . r...- I r. H"

• ·'I tt '- '~/

-4A --~--:X:..

~f:-

' (3 I) I ( --

, •

8aAU2

o(

*'·

v " .

NIPMIDaY d. H.·a r IMOIIUIIINO IIPOIJ: MftL-(-{,8 PAM'

OIICKieaY liiiJ ".._• 1 ra-e .., ....... ...,. .... ..... , .... ~ •YIIIDaY IIIOOIL AL5E?

A L '$ E P rAsrENEi!. TZ.EDVCTION sruoy UN!/ MOME/'VT.S 4 DEFLECTIONS ~oe ED<:;E MEMBEIZS

IZli 7JEFLEc..r;o!VS .-v "Bi:fiM AB (c.oNTtNuli".b) . .- A . ! c.

~.f) ~A ~ E~, [5 M4• rn~A d.ll- + J M,b rn,.B d:t.. +- 5 Me~ m.,~ J..c.. + Gt ~ l3

£

5 . E F -v7 + D'Moc mDE b. + j MI'ErnFeJx.. + ~ MIIF rn,.FJ.:J

F H

JUBSTITUIE E-QU4110NS (1?.) TH£U(J B) /NCLU.Sli/E AN.!)

(zs) Ti-iCu (~I) tNC.LUSIVE -,-o F1J'Jl:> bEFL.~C."iiONS Ar A.

tl ,,

j) c. r L. E ::: r · c ;·..; ~B

B c J)

t,H ::: .. )(.

(., H

,

8xAU2

0 1

If

! .. ;1>•

'( )

(

• UN1r MoHENr$ • DEFLEC.TIONs ~ole! &Oef£ MEMSI.'R.S

lZU. 0 £ F t..E C. T I 0 N ~ """' "Be A t\1 >~ B C.~o N -t-1 NU£~ A B

~o) $a ::. fi [ S M4A ('f)~A.cl..:t. + ( MA !3 mAe ch. - - ----1 , G ~

•

F o '- L o w r H e. u ; N .sAM E. M A N I'>J e e. As SA us'~~ m Fvte . ~B,

! /N L.IK£ MANNE£ 01.$111/N. DEFL€C.I/ON5 FD~

IZ1IL DEFL£CTJONS ....... li£141---1 a..b

8aASG

~ ~ &At-PG..~ -~ 1<,

sb:: ~fS +- ?oB :'-

k ~

.3

~c.; s~ -r "P~ K~

~e ... ~E~ Per: . k'o

fct ~ S +- P~o - ?f.F ~f~J'Fr-r..; D-

k~ k:3

BETWEEN ~(.)PPo£:..1.5 . ~

S""" b = Fz, }M~ + wJ.~·- P._A :x.) ~ d..x.. 0 .• •

+ ~M T Wl<-'-_p x.') ~ Jx.. .)l b~ 7 b'a -z 0

IN LtKE MANNER. Pf!-rE1!!./'tllJNE 'DEFL.EC.TION5 11r

M,IDPOIN r.s ALO.N~ BEI4M =' 1--J,

,

.. '·,

........ ., 8'1' J 1-/, Q. INOUQIIINO IIPOif DATI J-B-6B p 13

CHICKIDitY ___ _ iiiiNIIT ........... _ ....................

HYIIEDBY ._._ AL5EP

A L 5EP FA sT£t..J£k?. K:Eoucr;oN :sruo y-

L OADS /IJVD DEFL£C..T/Oty$ . OF· EDq£ ME::Mf3C.!~S

5AMPL£ COMPUTER INPUT" HAT£.../CE.~

BEAM 1:.... Ex;sr;lv? PALLeT

t t t t t t t t.t UJ f t f t f t 1 t t 1 t t f lJ c.. b c,J,e, +

,

j·~------------------------------~--~h

...-FA5'T'£NEifl t Ft..AN1t:

4J~===A=======================~H DIA§. ~RM

t"ifl!."L"-11 -11 bi t ' f "'1 b~ . ~ aba ~t~

;)C.b l

&_O).'t... t T' ________ _

)(.. ()..j

~81 t t e8,

/ ..

j ,. 8E't~l'-1 'D EF'i...IE: C. TION ~

e ~ B Eft !'-1 R.. or A I'JCI'i 5

t '1a~ t r<t./7•• :X. 81

~eAM EL.EME/'i'S •

UPPEK:. BEAM '-1 h.,....LOAJ)If-1~ ' . -

R E i=. ( 3 ) :5 E c. T. 4. 2 z

.. t 1\jc I

1!1<.1

nt X. C. I

~~~ t . t "1 C.1.

e,, e,z ~ ,--...

·- 1 -"c.t 1/r,

Ai. L QAO $ 1/. 7>EFLEC.TIO SAMt-LE c OAII/IItJTEl!! I BEAM I E. ~~$riN'f 'PA1.J.e .. ~ MAr R. 1 ')( ( !Ze F. 1 PA 4i" 4~)

NJf: ~ ~~ ~ ~3 'J-4 s I "'fu I

'2. $o.:t I ...

3 ~C. I I I

4 s~, I

s .1'\fh I

<0 Gc.-.. I

7 ~1,, I

B ec.., q ?(.AI

/J A:.o..J I I I :x.a, I '2 .::thl I 13 xc, /4 x,, I /5" f1A' I~ Stu 17 ~A1. /8 G~i. I q -'1 S! • 20 t9a, 2/ "'1Bl Z2 eal 2$ I 1\..f <!I 24 1 9ct 2s1 ~ea: 2c;,' Set

~flo. £eF£RS ID C-OM?UTE'iE

BxAU2

llfOtt

-"""JUIIIULAG E~45.

(. ONT"J/'J f) a.~>)

,., i1 10 $Jl 11.

-..... ... -

I

I

I

I

" I

I . ·~ -- .J.

1 I

I I

I I

I I / l I ,, I ..

. -1

uo/?UI .DATA

......... y_·......,......,..._ CMICille eY ___ _

leVIIID8Y

ALS£P FA~TE!i£/e. 12E.OVCIION .STUDY

LoADS AND DEFL£CTIONS oF ED~E MEMBEr<.s ' .

5AMPLE CoMPUTEe INPur M41e1cEs - K MAIR.IX

TI-le [!?..]MAreJx 1:S MA.D£ uP or- TH£ Et..EMEI'ITA'­

~TIFFN£5 s MAT,IC?..ICES [AJ li!E (: (7) Pt.. 41

I'Z t;I. GEI IZeL i f-cl

7 - ez. -- -7i e.:s '1- £I. ~ ZEL ReF f>lit:. e s 27tsB

({] = e e' -:z- pqt< VAt..Ue..S IZ€I 'GL

(SYMM.) e~ ------~l

¢..8 -~

- ; -, L~J ==I

8xAU2 ,

........ .,·d J.l.,(},

oe&ar•••---­HYIIDaY

' I

• •

UtOIMIIIINO IIPOIY . ~·==··· ._.,;<~ Dhrfi!IIR

. A LSEP FA~TE:NE.R. R..EDUCTIQ;.N .~TUDY

LOADS ANO DEFLE"CTIONS oF .Er::u:~£ MEMI!I£28

--·-·~--~ ._._ ALS£P ..

SAMPLE CoMPUTER, /N-pur MATR..tCE:s ..- X. U~trli!l)( (t:.Df\1?;)

../Q. F 0 R. "sPt.INt.$ + a.. A~ b 8) ce!

[4] { : • : 1 (R.fiF PAifC U)

~ ( Q._ ,

. o·11 QJ

.Gi4 Os

.fa}~· Oc. Ql=O

. Q8;0 ... Oq =o

Q,.)' 0

Qll 0

'-On~~

•

, •

0 NEPAitiD ay, J.fi.O, DAn1·2 "'i"-& 2 PAG•U CHICKReav ___ _ " .......... ____ _ •YIIIOaY II1DDIL A L 5£ i>

· A L 5£ P FA 5TE1vc.e ;et:Duc.r;o,-.-v src. .. n::~ y

8 0'1< PI~ ?t<!..;!'--1/lr:!.. / -"/~(..}(. 7VR6--BE"AM:s I t2 •

5ECTIOM ?!20f"[.?71{~ S;DE ~::::=;:::::r

<:li

1\i ! ; i I

/GC.F. (§) ;j (1)

c..

I

I I I

~ .. . ""

"')

E t=F,

• !; -']

/1?1-1 A h Ah Ah 2 .To

0- ,032.0 .~Ot:o4o. -.,e~·o. Ntf"~ ..

h \>

.QA .... ,0/bOS. .0'26.1- • 0528·

c 0 0 ,08 CfC>.

cL - .621(). .0485. P"l:¢.

e. -.08'12.· . 1'175. N.ec, .

f .4~68 . .O.C/4

l.. I; ,4-obB.+.OB~. -.Z0'6 (--t118'j ·

::: .406 8 +; DBr4- ,002. G..:: ,4q 3 •

/NC. (. U [)IN' t; 'B 0 TIP 1-1 .5.1<./ A1

/Tt.../'t A 1--J Ah A;.,'-- Io

.f .z. oc;. -.oz ?II .406 8 0814

I 0 I z. -,O'L'-0. .o 5 Z-9· ,N€C.,.

h -.0441. .459 7. ,08/f 4:

I­T == 4S17+ oB1c.f -,ttf1(223a) - t .. , •

·-E-=-I0·3X!O~

£Lzz.5:J8/X/D,3 )(.tO'

= s.s4Z4 x1o'

~8-xA~S4 .... 2 ____________________ ......., __ ~ ___ ..._... ·:J

0 NIP.AHD •• J, /1. f) A OATI/~2 >lilf, ... ·•. t8

CMICKID •"----..... , .... l'lllllllo. ___ _

.... ) MvtRDa'f 1&081a.Al,jEP.

( l

. ALSFP FA~TENE2 'li!:.E'buc.IION STUbY

'Bo'){ O#!. 7>R:.JMI91i!Y Sr;e.,ucn:.J~~ ._.,F£-oNr-8~AM 3 $ E C T ION r!Z o?t:e r1 e ! . - JZ.e ~ (B) Ji (q) -

' ~

-~r ,- ~ /."'.::" ~~· I"M A h AI-, A h 1. II> 0.1;\ _L

t .05'744 . . ooat. ().. ,018~· Jn& zo. 03'2.~0

~ b .O.S40· j._lf1.ZO. .I 031if .1&1948. NEt...

~ • c. .114-7. 0 0 0 .t.4-'0. ~ I (,

cL ; .0330 1-1· <j zz 0 .. ,(), 54-,5 . I Z /t:f I· NEC,.

l ~ e • 0140, ,./qs7o -.0"2.740· .DS3(.'2: wE'? . __ J ~ - ~- --·--

.~ 14-'2. ./4'$'0, 04SS'fo .4~'U/.S .~4,2. "i , • . 2

I=. 4 3 24 ~ ~'2 ~' z..-. J tY-2. ~J4!'e)

BxAS42

~~.' H/ "­/1-r::: 1 $ JC IJ./

:: • t. 7 B 7 - ,o 0 c. l:. : ,671. I·

. .

r ' ,• l ;

• , ... _d . • 'I''

... IP.UD'a•rc.J. f/:Q lN.DINI,IIIMe llfOif -~-S-6SPAMil. ·_.).t '

CMICICID D'Y . Iii' ~I rt/fJ•I D8 .

. ·:~~",·, ' ,' :. ,· . ' -,.; . ! . •'' :. 'J

~ .. nYIIIDD'Y

. . ~ II saDkfiiD n · ·: ALSE.P < '· ..... · ..

· ALSEP FASrENE.Ie .... . '·

11!. s. oin:. r iDN ~rUDY PALLET E oc,e MENf~Ee SECTIoN Peo PE/ii!.Tie.s • E){ISi/NC, PALLET' 4 li!:.EVI$/ON I ' BEA/t/1'$ 142 ( i!eF. 10) a, • t .

T II t:c( _i L '-~Oifo !reM A h Ah A.h 1 Zo 't ,.._.c p~o lryp,)

a. • 434S .0~9' •. 0030'Z ~ ... ;_., ~ . 0/f. NEG,. L :.oso f fe _e.0~2 b ~ .o1e -.4.14$ - • 00523 ,OOZ2.'/ NC.(f. c .O:SB 0 0 0 .oorrs

~r~, d ,038 .4000 .Q/5ZO . oor;,o? f'l E c., .

S" -~ e .OJS .4000 - ,015ZO . OOCo07 NEG . (T'(P)

~ • /42. .OI'ZI .OOI7'Z .0174-5 .00/15

• r,. .al?tt.s +-.ooi7S -..o1q zo

£I• ·01'12o X 10.' )(.;o' :1Z"iS .X 10'

PALLET '2.£VIS/ON 2 8ERH$ /~2. """£ f.F 0) ./~;.' . ·~·

· r-.75-;1 £a /_0''- ITE:M A h Ah Ah1 z· ... ./

.04'2 .44-30 .01('115 . ooaso Nl!d, . (_. 020

, <1

cl.. d. J t 'L.oso b .0375 -.4410 e-.Oif055 .0072B NS:Gp.

t\ lTYP) c .0380 0 0 0 .DOI7S .... It> •

r·OZO ~ d . 0380 • 4000 .01520 .00~08 NE4-• -.o:soLLe e .0380 .. {1()0() -.OI5ZO • OQ<P08 1\/EC,,

1--f- /. ~-"---~ (o,z ~ ./947 • 01'33 .002'0 ,CJ2.714 .OOI7G 0 En-.

. ' ' I= -.027q4 +-.Oo/7.5 ... ozqtSq EI: .OZ'(~ 9 X I o. {;.X 10 :::.3/SD )(10

PALLET REVIS/ON 1~'2 Be.~M 3 """ /<!.£F (I)

'

l--.~13---lr.OI '- I IEM A h Ah Ah:z. Io ra. J. _L_ a ,043Z .4415 .o1qo1 .008411 f\I'EC,.

T I

h ta i Lo7o . 0384 -.4405 -.01("t!f2 .0074~1 !'le4> . -c. ! 'ryp c .04Cf7 0 0 0 .{)()'e08

In ' • o7o~

~ d. .0570 ,;, 'foo .OZZ23 .oo6b70 Ne~1 . - .. r020 IYP. ,re ~ J ·. \ '

e .OS'70 -~fOO -.022Z3 • OOIJ67&> NEC,.

. fl b .. ,. • I. \ s ,Z453 .01'1/ .002/S .032/0 .OOZ08 p -·--).'Z I

t.FF. 01'2 '--.

I=.O~Z/0 +,00206= .034-IB £I=;o.~ XIO~X.03418 =.3'-30 Xto'

8xAU2

'

...

NIPMRO aY J. • 0. INOINIIIINO IIPOtT:

t =:.y ~iii~~' :.-.::::=. ... :. · i:~dAVP ·ALSEP FAsrENEe eE.DucryON ;;r-uDY PosJrtve LocK1Nf5t BoL r- .5P£1Nt:f CoN~rANr !ZEF. T~IDAI~ /N7:>G/.sr,e,ie-s [:?wt;. CA2773

~~p. (jJ)

•

A

./81 '1>119.

.07BDII/,

r·- 895 S/~:1 f-- i'S'{B~~

5Ec r/otv A 8 ,_A R..EA

(._z--;;:-s2 ;·C576'-)3 .14 : ( Ob/50;. .oo&.o8 ).3,/~ ..: .0435 0 a'' '

A e= -- ,04~5 X Z'l XIO' . ;#:./ ~_;,___;;;;;__;,_...;;;;;...;;...;;...;.;;...;_ I I 4-10 ooo //IV. .s I /) E 1:3 E A M ~ L , 815 _~ ,

..

NII'AitiO ., c.) .1-1. o. ·~

DATI Z.·l-~8p60en . EN.OINIIIINO IIPOit

e ) HYIIeDaY

..... ., ...... ._~ ....... --...._. AL..SEP: ·

~ ... ,., .• ~ ............... ;-CJtiCKID aY.-· -----

ALSEP F'"ASIENE.!e REl:>UCTION .:sruDY

Po.s ''' VE L ocK.II'kf B.oL-;- 5p,e/Nt:f C OAJ.:STANr (c ON7'"1/VU~J:J) ' .

5Ecr;oN DE o''

A.eEA.;:-'."'2.2.<;;- ./09 X 07(:1 c,0/4/ .. AE.::. .ot41 x 2 q XI ob = 5. z 5 'XIO 6 L .078

, k.. •J!j ' o J<.IO '- .S I l:>E

I========

•

; )

(I

NIPAIIIO aY J. J./, (). INOINIIIING IIPOif ..,..~.,.,s,. .. ,. -32 CMECXI•aY;..· _..;...__

aiYMDaY

~ ....... .. _, ., ............. .. ..... ., ......... ._ ____ .. ...._ ALS£P

LowER. .:srR.uc..TU~E ri..ANCfE SPK!II'·•l<:; coN.STA.N~

NoTE:- 5PR!INCi coNSTANT~. AI:!F APPK!OX.I,v~~r£.) BUT

CONS£R. VATIV£:1

AND SHOULD ~IVE c:jOOD te.EI..ATIV~

t<eL..ATION6HIP5 ,tJt:arWcEN EXISTIN'I FLAN(iES AN.D

MOD!FI£ b FLA. NC;£S.

cXISTIN<j AL5EP :S?R:.IN4 CONSTANTS (I!EF: 'bw~. '2330301) z. BEAMJ I i '2 (SIDE$ 'f?.£AR) !2.-,(t)

FuL.r : ·" q Ft.y t (?-EF. Loc KJ,(eED Srli!e.~s M&.Mo *sq) c. ,

t: FLANG,E THIC/<NCSS c~ EC.CcNT.e./C.Iry L.

f: = • 6 'I X 54 o o o X .O!Q = '2 4 S Jt ULT .~7S

Ft.'l "" s4ooo poe 7 o7 r FOt:.G, E C> e-4~

(/i!.5F. MIL J.IDBI< SA)

f=";._ANq£ \/VI.PTH b .c F 6 )< 165X.3 7S = 54-DOO ty 6 (.os)2.. .

0)(1(,5)<375 ··" p,."! /bSX3'fi>~,z_ b = . = 2. 7 C:, I/ DE FL. ~ £ ~ :. • ~ s<~- ooo xl5sz .J EL '3"''D.3Y.Jo'~z.7<.Y..o~

,, I to5 # J :: ,OO<f!J 0

1----·-- __________ K_!:__l ::::~.O::CY1~e~o:_.::_::j::(&;='?=O~O==(I=N:_. ______ ~---~·:.__ ____ _J BEAM .3 ( FR:.oNr FLANqE) /).J£ SAME J?.EF6RENCEs A~ ABove

f. :: ,r~q Ff 1 t'l.. _ .~'fXS4oao.x.03'"~ 11 9* PvL" =- 7q,s* ULr C - . 7 8 r w

E t= J=, F LAN q £. wIDTH "b " ~ Myt..c- r: G x 7Cf.S x.78 : 54-000 6t4 ·•t:;; liCos)'l.. •

D c Pc?>. 7q.sx:r83 ~''Z.

5 FI.... ~ : .3liZ.: .3X/0.3Xto'x z. 7' X.~l

8xAU2

• '·

JIHftMID.Y J.H.O CMICKID ., ___ .._

. .,.,. • .; -~·~S~~ .... - .... ..._...f .. l .... ,. ... ftYIRD.Y ......_ ALSEP

AL SEP FA":JTENER REDUCTION STUDY

LoWER.. ~TR.UCTUR..E PLANe:,£ .. SPRIN~ CONSIANI:s(coNr.)

2.EI/1S£./) :5TT<.UCTUTC:-E (12EF. 1J'V'V4 85 X7518) (1<.6-F. z.)

B E.AM ~ I fi. 2. (SID£ 4- REA£)

FLAN4E THICJ</'1£5:5 r:-· .zs'' ~

PuL.r. & ·"9 ~cyt'- (fzEF, Locki..JEE.D 5Tfi!.ES5 tv1e~o •e~)

t=- FL4. THIC.KNE S S C.: cCC/iNTRJC.ITY

f. = .~ q '/. ~ 4 0 0 0 Y. • 2 5 'l. = <0 z O o .# P.. 4 13 Q. ULT ,..375 'tL.J>..,

DE FL. ~

k 1 l.

.. PC~ _ : ._.,..._ -

3EI • 41~0

.oo;q B

8EA fl.1 3 ( F£ ONT)

b:: 6X4130X.37S 54-0DO)i. .(Jb'ZS

;:: 2. 7(0

413o x.a7s 3 X/2 --=.....;;......;....;...;.;::;.._;_:;;-_.!_.,:._.;-...,--"~~~- ~ .o 0 I t? B 3 X I 0. 3 I. I 0 c.~ 2. 7 (;.~. zs ~ = 2 0 ~ 0 0 0 D-# ;,"' .

FLANG,E THICKNES"S L•.2S', C ;:,78

p :: .~ 9 x S4-00o x .252..== 3 ooo·:tt. PyJ.D = 2 ooo.11 L) '-T. .7 8

EFF£CTJV£ FLA~E WIDTH ''b'· I

. ~

~ X Z o o o '1. ,7 8 .: 5'" 4- 0 0 0 (h}Zs 'l..

·· • PC DeFL. ~ ~ .:3EI =

BxAU2

2 000

k.l = ,D0853

..

'· b;; 2. 7~

~ (

J ~ ~ -~ .J w

~~AL sE? E"'~~.;GN<::& 72eDuc-no!V s;_uoy i ~! h

CoMPUTER.. /N?ur 7)~11-1 t:=oe MOHcNT.S 4 DePJ..EC.rtoN.:S i : ! ~-------------------==-==------~=--==-------~--------------------------~· . 0

Exr;jT/NCj z:~?:-e-D%:;'1~';,.~~~~-Fa~ . ·· W= l.o"'/,N r f ~ II ~ dl- a.b.4B b'= 8c crl·CI> de:DE ~,#- -~4~>11 I ~

3.00 q. 30 5· -- - .z.,o 3,50

Z3.ool 23.~ 3.761 4.ZDI q..7ol S'.,S1 S.1,S•- ~·-···.

. ' e

I I ;2o.'ll'r.S4241 .860 IIGHO

z 3

I t s.fll., .s,.o I''" qoo

I i ·~ . 't2 t? .6 4 0 I 8 7 0 I

z'.,ao; Z$.l?j ~~ .,.-:cal 1. ooi z.•ol 4-.sot t.1SI 4.1o I 4.to I ~; .. a. I I Jg.s42•1 .a" o I1"9'Po

! -

S' I ·.zo.=s5I..5.54UI .ew.o ltbqoo

PI1LLET l<.EV151DN No. I

!£AM I~I;~o-~:.1 £~}(/D,I ~x tr1K:t:to~~;Tc;t4T5 h 1 t;A~f 9 (A l o..ba .4lfl ~c ~ !c fcd·c.~lde-1)'E ~

I

r

)I,; : ~~· •

.2o.3s s.~<+z~ .S'"o <:.orr~ ;e.'j '9'·'- ·- uu.d cJ t :5.5424 ,8"-0 Z. 0'10 Z 1 ,J:!J Z.5e/(IJ J.lnfl 1.,4l

~3~30 <:;.,q'2.'2. .040 ,23 t<.O.~ e.r..Z-1 '?:.So,·Jf,JSt'>

.. ' -~~?,'.; !<' :·: .~:~f .,. ··- ~.; "''·• ....

. '·eo I '1· so fl.ill.. 1.40

- . -- '

..._

I t .. ?f..l/1. '14- - ·-

-

FIJ ~'k

, .4 7 c. I '· rs o I ~ • I~ $; '%. • Ot)$

I /.4-'Z~ I 1.180 -,--- ·--

j ,,. ·l!

o· JliiF::'. ~ <.

•• ',;...,t. :.~

.·· .. ·

,..,., ~""\

. ./

~~ AL SE P F/~STENE2 KE.bUCT_Lf2H .:51 -uD~ "' CotJJPurc;:,.-~ ("!__?ur 2>-:.t i .... r-f FC< ___ /vJOI'-1EN__T~_.J:_J)EFL£.CT101'-!_~----------

PALLET }2 EVISI o;v No. 2

BeAM

I

2

3

4

.5

4 1-1 3~ <fA r:; 01. I a,. b., ,q i 1.6' ': B' I c..d..c.bld.~: DE I P'J.J .t.h

3t5o 1.5.5"~24I.BE>o 1z.oqo I IB.~ol;q,c;, !/.86/ 9.8o I 9.eo

1so IS.~424I.e'-o cz.o9o1 z3.r~ iz?~.s-l.r 1.ezs:-r 2.4ZI/1.74 1 7.4o ~ -

/'17fo ,/.2,1!0 2,./ft,$ '2,,()00

3S3o 1(,.'1.Z2{,L,40 i .235 12,,£Pol Zb·-t.71 .ct~o~/ .teo I Jl.'i4 i //.94

3tSo I5S4Z4-I.e~o 12.090 !SO I:S".S4Z~.8(&.0 'Z.0'/0

.. -

1·4'2.' 1·1~0 - ,.._.

- -4)1 '

f'ALt.. Gr Rl!vtSit#'<~~ lt/.'2. k:: bZ...o'foJ(.8r..O '-

/OJ<---'----::; (,olf3){Jo ~o~ BEI+MJ i '2 • J )

l. P'f o ~.e '- o

I<= .. .

,,t,&fo)I.,Z.~~- rrp~~~o' t=o~<:.. l:lE/TA-1 3 ji) )< - • ..,

,b t~ o-6-.z ~s

G> .o;r..,ttoox.a~o .. Olb4-Bo x;o{, Fote Bc~M~ f<a 10 )( · .0 I G Cf D 0 1-, 8 {.. 0

~ G .0 0 I 8 7 o J<. .<:. 4 ° ,. , o o; 8 '14 XI o 6 FoR. . JU!! AM 8 J<::. 10

X ,001870+-.Ctr-40

I) ~ 4) S'J EYI j r'INfj,-.

f>At..LGr ,, ..

• '

" ~ ', . .l

-~ .. -I i I F• g ~

a fill I • " til oC = . ....

II I ~

~

~~- -~.~ tn ~ ll . .J ·.w

. '

.. NII!P-II!OitY ·J, .Q. .,.~ -4.~ ...... - ··~§ at~atlll ov ___ _

HV'IHDBY

..... .,_ ........ __ ~_ -e.. AL:JEP

ALSEP FA::STENE/2 12EiJUCIION STUDY

UNtT MoMENTs 4- DEFLE:C.TIONS

C'oMPUTE,:;e, IN Pur DArA --BEAM SrtFFNE:s:sEs

E x;sTIN9 ?ALL cr ...... BEAM I

PALLET .... EI· .'203S XI04 LOWE II! .S '1" N:. u c ru Iii! e ·- E I :; 5 5 ~ 24 )( I 0 '

o.b be E/1-18 l!!tfl $ MIJ!MI!JBIZ.S

qA FH AB BC e 1.30 s.oo /.10 ?.(..() '·30 .s.o6

2E.z./e , J(IC- .0436 .08/40 3€I/f'

)liD-C/.1801 G,.3"1SI ~GI/o/;v- /.ICfiG 2. e 170

4EI/e_ .Of) ISO ./ "28 3EL/e.z. S. 75Z7 2'.4Sti~C:. EI/e 2.38.3'2 4.4-3:3 ~ X/'-"-.:;, }(10-(, .X/{,) -6

r;,£.:r/ez. ,0/412 ."0488 3Gije,s .3.$B!J7 .'14-61 'G.L/e?.. .384-S /. 3302 )( j 0 -b )(;o-ra, 'iflo-(:.

t?EI/e3 ,00303$ .0195 ;ZG£/' ,082 7 .S3ZI )(lo-t;,; ·--

;;<If>-

11----------------.........--------------· --------"""11 PALLEr--- EI:£-.Zo?Js .)(to" LoY\/E'Ii? :Srevcrue£-.. E.l::S:S<41Jtf.X/o 6 ..

o..b be cd

e.. 4·70

ZEie x ur'-

.DB~b .o7Zo ·07o8

4EI/e ,/732 y. lo-6 ./ '1- 4 j ,) 4-16

0£I/e"L .OSS3 ){Jo-e~

.0.3SZS , 0'36"' I. D(J.J7 I .OO$fc •

.OZ3S .01.354- .0128 /i>tl .3,88 ,34&1/B te~!/e ~~~----~----~·-------~--~----~b-----~~·----~----~------4

PALLt:l- BeAM 3

ob be gcd. de

e 2. EI/e 0581

X 10 -'- •

4 EI/e .;tt.z X/o· '-

;~:1'2 ,OZQ 9 .I cf-SZ , Oft;, 03 .! b { S

IZ~~~ ,00 71, .1001 OZ/:.8 ./I 74-

{}/!NTGH lv'IEM'IUIA!!t&

A8 f3C

4.10 1, .•• ,....--

4 J f So £'.1J4.Sl

• 9473 1.z.~ss

,/71Z .3014-

. .._. .

------~

~

• • •• . <); ~-;·· ;.

lllllf ··.

•

, •

BxAJa

.. , ........ -....

; ' "

I•OtiUIItMe '11-POit ·

Al. LoAD$ ~})&Ft...EC!;cnv.s oF E rx; IF MeM-.&~tl. .<t>SIJM~"t,• CIM"t.J"I!e 0()7·Nr 'Z:>.fnt 8Et4M I No.* St..oPEs 4 /JEFLECilo. • l.o:4bs ~liN . . , ....

E)(!~fiNr, . I), I>RLI..€.7"

3

4

s ~

7 " e

q

10

I I

I'Z

13

/.:)...

IS

I 7

/~

I q

'20

'2 I

24

zs·

2'-

/1-fbl

e~>J

Afbz

e~>2

Aft:. I

a._,

X..41

xa..,

/i-f A I

GAJ

-vf'11.2

. eAz rL(~J

QBI

'YIJ?.

~62 If-{(! I

Qe,,

'VC2 G;ez.

.6e20 t ni'·3

(),,,lit;6-4 .4~!4-ttr/3

. BfS~ 1./tJ-?

o.13o3XI0-4- ·

().$424){ I 0 -f

0-2543XJo-3 '

0.66/20 X /03

0./185 Xlr/~

().4 q 14 X ;o-3.

0.13o3 ><.;o~+l ;{),412:.~ )tJ0~-0. 7! 0~ ;Up

·41'L~iito

·2'S4~;wi' ,ifitf SO}( I{)

p, 'ZS4.'J )f.!f)..J

,'fftJ tJ)tJo·S

·JISStur"~

/)o41S'$j..I().(J

- ~-~~ 8 'E. t1 io ~~

0.4-/ "if, j.fd

M~;,i

Fc"1. Me2 Fc.J

Mc1

FAI

F(J;.I

FBI

I= 'OJ

Fe, F c.1

FAJ

MAt

F'Al MAl

F-s;

M.t~; p,, Mtn. Fe, Me1

f: az Me,

o.e:so'l. )f.ttJ~

CJ,!J'504-'I<Io1

o./{,1..&:. x;o'

-0.34-S 8J{ I v 0

~0. ;53' o Xto~ Lo.773S;uo

·0.713S><Jo' I

I ,-().1<.71tf Xlo

(),, 119 'l-It:/

O.t;./4-6'Jl.lc/

o.~,4~t.u/

o.lfJ71 'l.lt>a

(),./''-" ){ 101

.44341-;l;o,.

·314SY,to'

(), #34 X 10~~· 0. "374B;t.Jo

0 • 'l 'S' 0 'j./fJ'l

( ) IIIIVDIDGY

ALS

AfPL, MoMEI-In

q,S b

R. enc.n At<1

1. '2.'

1.7/

A-iOMEN1'j 4.$ ~ ~ .q.,S' ;;

~.10liS

'/)EFLECT;oN~ ;41 /VIII:> PoJN"'5 f . r; R_.'4- .sw.Q_"'7 ~ S ~ -· iJ L ( 1'1, t-Mz_) IZ - ·~ a'""i _J

8xA542

B '-. t/<t co 0

-L .: -4.1(14-XIO-(. [ 8.2 Ob3 ( ~)

Jb • r_$~~~

z -4.tfltf 'ito~'[ 44. 3c;.oo ~ 9 7 ,4o1-S:]"' a"' o, (o s-o'" x lv- b

,_011' ....-

I s-(f..l.$")1%

$ :::. -4, t( I tJ )e I o-r,. '1.14Cw3 ( ~) - ~~ - • ~ ~ 2J ':.. - 4, 'fl rf / 1 0 • G [ I ~ , 2 ' f 0 """ 6 • I ~ i 0) ;z - ~;..!.;. ~, )( ~,!.,

~ ;

j !.!_ ( 4·1t>/.J(/0- 6 )

8 _. '8 0. 8 S' (;,?.. J( I o- b )( 3

II fL S'i?::.! ( 4' q I¥ )t I<,)""') 'i'> lr

,OBt:JI'fJX!v~Cr.)t 3,3 af

"! . ('

'Z.ttJ"Z..'$1. ~' p. JO- (,

,ltv-~

'1 'Z. IJ4 'S Z. pi I~ -

. l 1_1 / __ ~)~.. lfJ ~ _6

1;5.1Z4- ~ )(I Q .. 6

v~¥"""VC~ <rl·~ _.............. Xo/hh 'ttm":rrt ~

. -· .. ---· -~ -· ~ - ··- .

.... "'

1.1::'' ::c, I"~· ::

:.; =", ,, :~ rt:

1!-8 ~ ,,

':~ L

:.

-~~,,

!::; ;:::

~~c~

:;:r ':C

; ;:_,::~

'c'

i::i :~

-~;~

lj::.;_:: '' li .

i"i

'f.:! F

:fi:h .C :,:--

C:.;=t '-'c

.~'::::IC::.:.

=:--

11;1 ::.: :c:::_

c;:)~~: if, trC :.7:C

L T.;:T'

;;

'If~ . , ;~~ :;; :!_?

•!r: .j ±±±

':!~; ;-;.~;:J1:. ;::: ~;;:;:'-:; Gi

,

I -· . . '"' ::t'lc C'~~+L

:~ '"

.Ci:: ~''::

1,1.1' ''; I

';!.'I I.

1.:, ,.

'I

":t_ ;;c: '··

:t::~ci ce' tr::

',"'-:d

iii ~jn o!,; ;j I ci

~ f~'

~~·-~~ :~~~~E~~

~··~-:;.:,.; ~:t.

:~., '··' ·':: ~:-·f++~·

m _,

L:· ~

• ~ :,_

i:.c: :r:

;;c::: :.__, ;:.;!•~

' · • .c ;~ . "c;: ::JS

~CE t:-i.,":

':---:: '

'lCi':.:~, '•

'' ,C:,'_

'"\ :\;Y' 2

,cp,;_;: :-'2

·'0-:-c • :? """:J_[-':;J!r"E~f f~::

:;-/c -~•:\;

1 ,~·1;7,_,

;:;= lq

:·:Hj!iL

r

: ~ ::=

::': c:

1: ;,. i:i . ;.:±-"

-~

1'1: _;';f:r:;-.

he;:;~ tf~ trs;

r'"'r: f::'1~

f:,;:•tJ:;_: 1'-

~::c:

:-:, ::t:

·:'. '},':

. ;:;

::-:: f.'·

~-:t 'fj

. iilli 1$:'~-: .·-:,

1•;-,;

It: . -

·•r: :r::i'~ ::C'l · t::•

h'..J .;:

'

--·~ :

:; !::-;::.:-

'"

c.:

f;::.~~·i •'rr:

b·

· ·

U.·. ;:::

c±:s•

~~[5-l: • f}:'i "'' b.: .

~

'''fit~~·?. ''Jfu'fi: :2:,~·: 1-'::;f;::;c -:c:;ori! :.:,:

-::;[c~-_; ~~C:f;f~ ';:

~tift r::o:

t-t :;:jif:i ,.,::c

iP-!i '"~-icr: :;:;

'1-i-H-·

a2a~t1r

•

' ::tti iii ,,. ..

-;-::± :::::

I

iir "•

-.

1\.o:

. !· .· JOJrCKII. •Y:-· ---

·-)~ -~·y

r .

A L 5 E? FA.srt:A~~-es ·'2-El>t.JCT.ION sru:PY

EFFEcr oN 'PALt.:E-r: o~': ·.PEMoiiJN_'J FA~rt:IYG.e. Fe-oM

CENTE'IiE.

Fil.srt:Ne ~e. ?A1re2r~ .._£x;~r,Nti. r-----....... ------..-----------·----

f . -- -+ -··- .. ~----· AL_ r~-,__----··---/ZSo---

·1

,

' '\

I

t. I

i _ ___.___ _ ---·-!rz.'----__ ____....,;.)'------'-i tf,___• __ _ J ~-

# ---·--·-· -'~- ...

~,? ..... It ...

• ll ....

' l

I l

71 . ; '8 9 . .... -·-----------.----~-------·· . . .

12. .

' .

lZ..

! I j ' !

f.~~,. ! ~ : l ~

lff-

i

t f -l I j

11s I t

l i

j : .: t ..

I~ i-. -··· ----- ... (! ~----+!-~~--· ~-I ',

' I : i'

i I i

~~ - · •.. -t-· ..

i .. .. -- ____ !,3 __ · . --- .. ·-------··-~--

1 1

r-- 4. "' ----t . TyP. ! !

~---·-·--·---· ... 25 ---··· ---. -----·-·---------~

BaA Ia

.. . .......... y __ _

• CIIICXI. aY...;·---

•vtaaaY

• a•atUIIIII8 IIPOit ~·._us•• _.. .. IIi ••DM•tan .,.., -·------

~

ALSEP FASIENE'R.:S "R.E.T:>ucrJoN :srvoy -~"£j:~: -.-

EFFECT oN ~uN~NIELt> PALLer oF 12t:MO'{'""'<i ON£-·

FAs Tt:=NE~ I=R.OM 'E'"TEte bF. PAL.t..Er:

EFFECTIVE 'P~.-Ar£ THIC.I<NE.~S "t.. • •

3----t.:: y.oo~'S = ,40

•

FtN D DE FL. FOR. ""? "Ar 0 9) .f 13. A :;soM IN4 Pt.ATE

SI-JDWN ON Pi!ECI:O IN4 PA'f~

!2r=F (jz) Bu1.t... fVo./19 ~AH4LYSJ~ oF. FLAT f'-~rE~ BY TN£

A i-CjS:B.e~u:: CA!i:JC / OvGL MErHo/:J:' .

5AMPL£ C4LC ULATioNS:

L l. L 1.. ( 1- -u., ') $ , t1 ~ 1.. L.'), LJ\.1 .)(."1 '\..:r..7 3E t~ .,., I

~ 'l L e. /II • ro~ (I)( 4. ",)'-: Y("' e( 1. '144o l< 10 _,)

~ .3 X 1o.J 'i-to y.. o x.~

p-4t :./

I

BxAS.2

4' ' .. I

o;-

Z oll-1 .8t7o

·- ~ - 24 .o114 o .._/ .,,

•·•sa·

'-

·-0Afl2- -6J PM' 3'7 ;

Ei'1

I f ;..:~ :c

:

1::: ;;.:' ~dl:lr ,~

~i H:"i r;;_;~~: pi:f':

l+li

tr:.<

~~ ic:

_]

t;: t: :" ',: IF:'"

;::;:J!i;:

~t:: i't ~ :

IT,:;

;~ ;t; !;:;

'

:~; f:,:~: ,,

ltr~

l;l:: :;!

, f::c

r.,-, y~:fl:c::t~"

r::c:f;-:~lf:ii

\

•

I

;.;.ij

. ~~~·-~ ~:-

~:r.

...

.. ,:~{!:··:;:.::;~F~~.;-~~,-~. ··· i