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 [latex]M_{\max } [/latex] = 5 kip · ft. Determine the largest uniform distributed load the shaft will support.

For [latex] 0 \leq x \leq L[/latex] [latex]\hookrightarrow + \Sigma M=0 ; \quad-\frac{w L}{2} x+w x\left(\frac{x}{2}\right)+M=0[/latex] [latex] M=\frac{w L}{2} x-\frac{w x^2}{2}[/latex] [latex] M=\frac{w}{2}\left(L x-x^2\right)[/latex] From the moment diagram [latex]M_{\max }=\frac{w L^2}{8} [/latex] [latex] 5000=\frac{w(10)^2}{8}[/latex] [latex] w=400 \mathrm{lb} / \mathrm{ft}[/latex]

Question 7.51: The shaft is supported by a thrust bearing at A and a journa...

Engineering Mechanics Statics -Solutions Manual

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.

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