고체역학 (Beer) — Shearing Stresses in Beams: Problem 6.68

6.67 and 6.68 An extruded beam has the cross section shown. Determine (a) the location of the shear center O, (b) the distribution of the shearing stresses caused by the vertical shearing force V shown applied at O. Specifics for Problem 6.68: Vertical shearing force \( V = 25 \text{ kips} \). The cross section is a channel section with: - Top and bottom flanges: width = 3 in., thickness = 1/2 in. - Vertical web: total height = 8 in., thickness = 1/4 in.