Question 7.51: The shaft is supported by a thrust bearing at A and a journa...
The shaft is supported by a thrust bearing at A and a journal bearing at B. If L = 10 ft, the shaft will fail when the maximum moment is M_{\max } = 5 kip · ft. Determine the largest uniform distributed load the shaft will support.
For 0 \leq x \leq L
\hookrightarrow + \Sigma M=0 ; \quad-\frac{w L}{2} x+w x\left(\frac{x}{2}\right)+M=0M=\frac{w L}{2} x-\frac{w x^2}{2}
M=\frac{w}{2}\left(L x-x^2\right)
From the moment diagram
M_{\max }=\frac{w L^2}{8}5000=\frac{w(10)^2}{8}
w=400 \mathrm{lb} / \mathrm{ft}
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