d= t3e÷ts - purdue university
TRANSCRIPT
HW8PdB c di 580
A82=20
CD 3T
↳ Css 03--30
in
a)EquilibriumFBO at B
ftp.t.o CDTo
L
3T :-#-001-3 gTs - Tz -T, -37=0
T,E inde*hmiued
G) ugh 's (3) Vars
b) D= VI. +Vat Vts
= 12144
men's.¥t3E÷"ts¥÷.
Ipi Felde"-elitists
"-24104-6%9415'
Ipa.- FI 2404 .- ¥04
Ips .- Fz"= no
"
U - { Eno.h¥i÷¥! ;¥¥.
]32
=
{ Inoa (It! 413'
e SIL Ts'
]304527
* Tz -- Tet Tze 3T
= { Inoa (fe4Tie (Tietze515]
3045
:{⇐oafT.? 63%0%5
10339360472-
274ozt3118080T IT27405
3118080T T2
27405t 4677120T
2
- -
27405
The redundant heads me it, SI
DI -- o → 1041664T, -11039360Tz e 3118080£50IT,
It = O → 1024T , t 12401-2 +3072TE O
I-12 (3)
Solve CD, 123 and 63 )
T, =-7301 T2 467
I is:#s-t81T
Tz335
C ) U = 230d L T
2
17335 I* 3Te Td9
⑦BE JI TE TId Td 3
(ads)-
-
Ifa Is¥) -- o-
- 47,47 I doa Eg Td
-
- ⇒"
s. I doisY
"
= 15,2%5 to doaT
HW8 P2-.
"l¥¥¥. :*:*
a)Equilibria
¥Efd× integrate
! joie au* hut-HEE)
Ee -- S.
-
Eff-¥} dx
e -- - Put hfHtf'Ii
= Put k¥3)
b) Element stiffnesske Eff = Effect -441)
= EL ZEH
stiffness mstux
( K] { u3 = F
Iii sina.ir's⇐tuff.IE?pfBuEo2EzttlUz-2Pe=Uz-U
.= Lagi LE
3) Two Elements
14 -- Ecd,
'= EE HE ( 3
He 24)) .. 5Ht
K -- EEEs z Eltz (2kt H )J=3EILtAssembly of Global stiffness who
E¥ii:id¥H¥iTzp
Hustle::"-isil :3
-
- Efatjf, -351%3I :* * Eli's "¥l%3↳ Uzi the Iff i s . 0667 Ift
Hw8P3I ') 127 13 ) 14)
b
f i r
k = - - - -
ii."
÷, "÷÷⇒:
e. a a.
4 2E 2E 4E 'Ef - - - -T,L L 2L LF
a) Elements stiffnessKai -- EY÷⇒2Ebf{ flatten ))⇐E¥bKuo -- Eff.EE#fiaEai-.aD--E5zabkc33iEy3B=4zEab=2Eab
1445 Etz; -- Zzeblatzha) - E3ab
Global stiffen assembly
K, -14 B B
- Ki 14-1142 - Kz C cI * iii.iii. iii.Mitt:LF F
6 FG
¥÷i÷÷÷ .
F
G
Apply bounty conditions Use UG -- o
B
¥÷÷÷is÷÷¥:H¥¥F
G
BLU -- O BC Us:O
Resultant system
EET: HEI:3
b) displacements fromNist lab code :
B O
{u } . ) % PL 0.771
÷ ⇒ kiss:/°
c) Internal forceso
Fus -- Ey ease 7zabzE (Uc-Ys )( 17
= 2 .699 P
Fcc) -- tag'-- Szabzt (Uo -Uc )
<
=- 2.301 P
d) The stress in a Element :
⇐ Ee .
- eeab
Jc , > = 0,771P Tcg) = 0.850 ¥Tab
may Axial stress
Guy s - 0.520 Iab QQ.s-I.100.LI#