ME 211 Homework Set #5 Solutions
10‐10‐2008
Problem #1 – 8.16
Two designs for a shock support are shown in the figure. The spring has a stiffness of
k=15kN/m and in (a) it is uncompressed, whereas in (b) it is originally stretched 0.2m.
Determine the average normal stress in the 5‐mm‐diameter bolt shank at A when the
6‐kN load is applied. In (b) the bracket B is not connected to the support.
1.) For Case (a), write your equilibrium equation to solve for P, and determine the
stress in the spring.
F
y
=
0
=
P
−
6
∑
P
=
6
kN
σ
=
P
A
=
6
kN
π
4
(0.005)
2
=
306
MPa
2.) For Case(b), the load will cause the spring to stretch. The load is entirely
supported by the spring.
F
=
kx
6
kN
=
(15
kN
/
m
)
x
x
=
0.4
m
P
=
6
kN
σ
=
P
A
=
6
kN
π
4
(0.005)
2
=
306
MPa
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Problem #2 – 8.80
The built‐up shaft consists of a pipe AB and solid rod BC. The pipe has an inner
diameter of 20mm and outer diameter of 28mm. The rod has a diameter of 12mm.
Determine the normal stress at points D and E and represent the stress on a volume
element located at each of these points.
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 Fall '07
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 Stress, Fed, Thebarsofthetrusseachhaveacrosssectionalareaof1.25in*in.Ifthemaximum averagenormalstressinanybarisnottoexceed20ks,determinethemaximum magnitudePoftheloadsthatcanbeappliedtothetruss, ForCase

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