A beam 12 in long is to support a load of 488 lbf acting 3 in from the left support, as
shown in Fig. 3–19a. Basing the design only on bending stress, a designer has selected
a 3-in aluminum channel with the cross-sectional dimensions shown. If the direct shear
is neglected, the stress in the beam may be actually higher than the designer thinks.
Determine the principal stresses considering bending and direct shear and compare
them with that considering bending only.
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