Problem 106 The homogeneous bar shown in Fig. P-106 is supported by a smooth pin at C and a cable that runs from A to B around the smooth peg at D. Find the stress in the cable if its diameter is 0.6 inch and the bar weighs 6000 lb.
Solution 106
$5T + 10 \left( \frac{3}{\sqrt{34}} T \right) = 5(6000)$
$T = 2957.13 \, \text{lb}$
$T = \sigma \, A$
$2957.13 = \sigma \left[ \frac{1}{4} \pi(0.6^2) \right]$
$\sigma = 10\,458.72 \, \text{ psi}$ answer
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