Unformatted text preview: PROBLEM 11 14 11.14 The steel rods AB and BC are made ofa steel for which the yield strength is ' a, = 300 MPa and the modulus of elasticity is E = 200 GPa. Determine the maximum
strain energy that can be acquired by the assembly without causing any permanent
defonnation when the length a of rod AB is (a) 2 m, (b) 4m. SOLUTION A“, = @209)": 78.54 m‘ = 78.5.4 #0“ m‘ am An: = ECGY 9 7613.317‘immt =' 28.174 V10“ ma"
P = 6m...“ = (3002:0‘)(2s.27qud‘) 
= 8. 4822 X103 N
1 EL
U 2 QEA
(0.) a=2m L—aréZ= 4w
U _ (8.4822xto‘)‘(23 + (3.4322xros)‘(4)
“ (z\(2ooxto*) 78.59MB“) (2)0200 no? )(28527‘! x IO")
= 4.5203 + gamma. = 30.0 N‘IM = 30.0 J ~—
00‘ aelim L—m’GH=2M
U _ (3.4s22~t&3‘(4> + gsﬂszauto‘ 3‘00
' meow IO‘XTSS‘Oxio“ ) (2)9100 my Mam2w (0")
= $1906 + {2.7233 = 21.4 Nm = 2H J'  11.]5 Rod AB is made ofa steel for which the yield strength is a, = 65 ksi and the
PROBLEM “15 modulus ofelasticity is E = 29 x 10‘ psi; rod BC is made of an alumiuum alloy for which
a, = 40 ksi and E =10.6 x lO‘psi. Determine the maximum strain energythat can be acquired by the composite rodABC without causing permanem deformation. ' SOLUTION A“ = £30m? = 0. use; M 5: 290m ksn‘
A“ , :5 (as? = o.zsz7‘t in‘ E“ = Joeoo ks.‘ 0.6in. diameter ?.1' = ”SYA :‘PN each iDQP+ 0.4411. diameter AB: Pm =(65360J2566) = 8.167? 2:...
Ba: Ba  (40)(o.2821‘H = meme kc,» U52 Smaller Vail}? P: 8.167? kI'PS : (3.1e77)1(22) + £2. me? am (ZlCZqOOOXOms‘“) (21(Ioé003(o.2827'H
256.3 no“ + %7.5xlo'5 = '  729 I‘M2n. Ll t__i ...
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