(Solution) - A composite beam is constructed by bolting four plates -(2025 Original AI-Free Solution)

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A composite beam is constructed by bolting four plates to four 2×2×3/8-in. angles as shown. The bolts are equally spaced along the beam, and the beam supports a vertical load. As proved in mechanics of materials, the shearing forces exerted on the bolts at A and B are proportional to the first moments with respect to the centroidal x axis of the red shaded areas shown, respectively, in parts a and b of the figure. Knowing that the force exerted on the bolt at A is 70 lb, determine the force exerted on the bolt at B.