The gondola and passengers have a weight of 1500 lb and center of gravity at G. The suspender arm AE has a square cross-sectional area of 1.5 in. by 1.5 in., and is pin connected at its ends A and E. Determine the largest tensile stress developed in regions AB and DC of the arm.
Question 8.79: The gondola and passengers have a weight of 1500 lbmand cent...
Segment A B :
\left(\sigma_{\max }\right)_{A B}=\frac{P_{A B}}{A}=\frac{1500}{(1.5)(1.5)}=667 \mathrm{psi}
Segment C D :
\sigma_{a}=\frac{P_{C D}}{A}=\frac{1500}{(1.5)(1.5)}=666.67 \mathrm{psi}
\sigma_{b}=\frac{M c}{I}=\frac{1875(12)(0.75)}{\frac{1}{12}(1.5)\left(1.5^{3}\right)}=40000 \mathrm{psi}
\left(\sigma_{\max }\right)_{C D}=\sigma_{a}+\sigma_{b}=666.67+40000
=40666.67 \mathrm{psi}=40.7 \mathrm{ksi}
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