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

c)Gel = ( tend}? 1×100 Er

8.98%

Cut =/¥s÷l3) ) noo I 2,91%

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#