________________________________________________________________________
PROBLEM (12.96) A sliding collar of weight W = 20 lb is dropped h = 1.2 ft onto the end C of the
stepped circular bar (Fig. P12.95). If E = 10 x 106 psi, calculate:
(a) The maximum deflection at end C.
(b) The maximum stress in the bar.
SOLUTION
22
(0.75) 0.442 .
4
BC
Ain
π
== 22
(1.25) 1.227 .
4
AB
Ain
π
==
() ()
s
tAB
WL WL
AE AE
δ
=+
BC
3
6
20 12 3 6
[ ] 0.384 10 .
10 10 1.227 0.442 in
−
×
=+ =×
×
3
2(1.2 12)
1 1 274.9
0.384 10
K−
×
=+ + =
×
(a)
3
max 274.9(0.384 10 ) 0.106 .
st
vK i
δ
−
== ×= n
(b) 20 45.2
0.442
st BC
W
p
si
A
σ
== =
max 274.9(45.25) 12.44 ksi
σ
==
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