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A beam is to be made of steel that has an allowable bending stress of $24$ksi and an allowable shear stress of $14\mathrm{.}5$ksi. Select an appropriate $W$ shape of least weight per foot that will carry the loading as shown.

Draw FBD and calculate reactions.

Draw the load diagram with reactions.

Draw the shear diagram.

Draw the moment diagram.

Calculate$/$indicate maximum bending stress $M_{\text{M}\text{A}\text{X}}.$

Choose $W$ section.

Recalculate$/$check $M_{\text{M}\text{A}\text{x}}$ including weight of section. Indicate if section is $OK$ for bending.

Check shear stress. Indicate if section is $OK$ for shear.