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Problem $05\mathrm{.}076-$ Calculating the minimum diameter of a shaft

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The $$gure shows a shaft mounted in bearings at A and D and having pulleys at B and C$.$ The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI $1035$ CD steel. The design factor is $2.$

The value of FB$1=500$lbFB$1=500$lb $,$ FB$2=83\mathrm{.}3$lbFB$2=83\mathrm{.}3$lb $,$ FC$1=98\mathrm{.}5$lbFC$1=98\mathrm{.}5$lb $,$ and FC$2=654\mathrm{.}1$lbFC$2=654\mathrm{.}1$lb $.$

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The left end of the shaft is labeled as A and acts as an origin. The shaft is along the x$-$axis. The vertical axis is y$-$axis. A pulley is mounted at point B at a distance of $8$ inches from point A$.$ Forces F B$1$ and F B$2$ act on the pulley in the upward direction, along the y axis. The diameter of the pulley is $8$ inches. The second pulley is mounted at point C$,8$ inches from point B$.$ The forces labeled F C$1$ and F C$2$ act on it in the opposite direction, along the z axis. The diameter of the pulley is $6$ inches. Point D is at the right end of the shaft and is at a distance of $6$ inches from point B$.$

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Problem $05\mathrm{.}076.$b $-$ Calculating the minimum diameter of a shaft

Determine the value of the moment at points B and C$.$

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The maximum$$moment on plane x$-$y at point B$$is in$$lb$.$

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The maximum$$moment on plane x$-$z$$at point C is in$$lb$.$

Problem $05\mathrm{.}076.$b $-$ Calculating the minimum diameter of a shaft

Determine the value of the moment at points B and C $.$

The maximum moment on plane $\backslash ($ x$-$y $\backslash )$ at point $\backslash ($ B $\backslash )$ is

In$-$lb$.$

The maximum moment on plane $\backslash ($ x$-$z $\backslash )$ at point C is

In$.$lb$.$