ch01-03 stress & strain & properties
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01 Solutions 46060 5/6/10 2:43 PM Page 72<br />
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*1–108. The cable has a specific weight g (weight>volume)<br />
and cross-sectional area A. If the sag s is small, so that its<br />
length is approximately L and its weight can be distributed<br />
uniformly along the horizontal axis, determine the average<br />
normal <strong>stress</strong> in the cable at its lowest point C.<br />
A<br />
C<br />
L/2 L/2<br />
B<br />
s<br />
Equation of Equilibrium:<br />
a<br />
+©M A = 0; Ts - gAL<br />
2<br />
a L 4 b = 0<br />
T = gAL2<br />
8 s<br />
Average Normal Stress:<br />
s = T gAL 2<br />
A = 8 s<br />
A<br />
= gL2<br />
8 s<br />
Ans.<br />
72
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