Part A $-$ Design a Circular Shaft

Determine the minimum allowable diameter of the circular shaft to the nearest millimeter if the design paran ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=500$kPa. The bearings at A and $D$ exert only vertical reactions on the shaft.

Express your answer to the nearest tenth of a millimeter.

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$d=$ mm

Part B $-$ Determine Necessary Beam Width

Determine the minimum width, $w,$ of the beam that will safely support the loading $P=2$ kip. The beam is $28$ ft long from the pin support to the point where $P$ is applied, $6$ in tall, has a rectangular cross$-$section, and made of a material that has a maximum allowable bending stress of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=16$ksi and a maximum allowable shear stress of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=0\mathrm{.}4$ksi.

Express your answer to three significant figures.

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