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x)= 3* 2x3
h,
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x\= C
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142
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h
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6 EI TEr - ( ET- lEt[z- t" hz h
h
g8_Civ-Bg pecember, 200g)
For the plane stain element shown in Figure 2, determine the etement stresses oxt oxt and t,corresponding to the followiqg aodal riilpiacesresfs.
ur = 5.0 mrn \ =2.A rnrn
'*z =tt,frrrm .,:. =fi,* fXm
w.=5.*mm \=fi.0 rnmUse "E =TAGPaand y = C.3 .
Figure 3 {aii dimmsic,ns are in rnillim.eh.es).
Lt1= 5,0 .^^.,'. V, = I, O .a.'*a
U^ - O. O t^^r^
- 5. O ^.,t
o,o15-o,ol -o,O 15 O o,Ol5 orol O
l. ( ror ro
) r.la
t*
98-Civ-89 - May ?*1 1 Page 4 cf4
Problem 3
Llsing two beam ei*ments, calc.ulate the reaetians and draw the shear and moment diagrams
&r f&e &"{rur:f[ire s&r:wn SsJow'{Frg. ij. AIi me]-fiber"s ftave dle sarne ngrJrey. f = 3OG rfPs',
I = 40 x 106 nlmn,
The stifftress ffiakix of the beam element is shown below.
U*\=!!LI L
I{
J,
2
EU-z
4
12612,2;-;
lJ 1- l-
664
LL12612;-72tr!
LLL
AAu^u z-*LL
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v ru' 2[vrr
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6 Tr <LFI
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(r
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k A f s't 9ET_\z) ) T t- T 8"
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n,VL e? er
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(E)T ry
03\e tt
Tr=
lerfT (fI -lzEr BEr <c o I
T
{,' ,t) (irrF-r -G€r trrrl ,-r]cEr[-r ,r\-rtrt err
(,3 (,t
c1r 1-E1, Grrt' ,r\"trl",,,\-ct.4Em \K'ff) \("rtl 3n c) _ lZgt - 6Er lzrr -(rr
(-r <r ( Er 2Er ^6* Art/2_L, <, g("
d_.
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_e
MC^) oJx ( 6
M(x) - to
X)= Loo - !
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XA x--6 = 5oIV\= lo =-5oPw
6:6 i= - 3g- s- Loo 16. 6e
=lol= -37
t2
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