Unformatted text preview: i O PROBLEM 2 I 13 2.113 Bar AB has a crosssectional area of 1200 mm2 and is made of a steel that is ' assumed to be elastoplastic with E = 200 GPa and a,r = 250 MPa. Knowing that the
force F increases from 0 to 520 RN and then decreases to zero, determine (a) the
permanent deﬂection of point C, (b) the residual stress in the bar. a " SOLUTION
a = 120 mm _ 1 _ (. ¢_
Fume +1: yieIJ Pea"Hem AC 1 PA; = A 6} = (I? 00 XJO‘)(25'O ”(0‘)
 3
PM: pCB _ 300 MO N
4 ' I F: For» €7ut‘jilon'um I: + (Pas  Pk. = 0 Pa :: Pu" F: Sooxloa— 520M155
= .. 220 xio3 N %¢=  fﬁiﬂ = (“0 “’03)(O““°‘°"2°) : 0,.293333 no" In EA (200%l0”)0200x10“)
_ Pa _ 220x103 :_ r
61:8 ' T  W i83.333 YIO 19¢
Unfaaaiinﬂ
s‘ = 3&3; = _ 3.;ch = (F— 3:)sz
c EA EA EA
I .E‘JE. L _... FLcQ
R" 5" + ng _ EA
1345' = "ETE— ._. .520w103 (02qu «9.120) ___ 378480410sz
LMHea 0.440 Pa; = RJ— F 'f' 37s.:szxto3—520xzog = ‘h‘Hﬁwlos N I _ 19' 372.182Klo3 _ c
6*: .. 7&9 . W — 3’5.52 X10 PG. l 1
66; = P“  — “WWW” = u3.182 xirO‘ ’Pa A " 11200 xlo“ so = {373. I823COJQO3 _ oJﬁqoﬁlwo’s m
c i (20bx10")C1200xlo‘3 " 3 3 3
. g: _. ' = 04013333 {to  0.”??me * CHM2 no M
(a) SCP 3° 8° 6 '= 0 i043? Mm «a
“=3 67.: m = 6} — 6;}; 250 xlo‘ $5.152 x10 = ~65.2><£0 “P4
’ ‘ *2 6$“.2 MPa. 1’ "
= 6' — G ’ = ~133.333>r£o‘+u8.192x10 =6522>'1°‘ ‘i
69,5)”; 66 “3 —_. _ £511 MPa. '4 ...
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 Summer '10
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