고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.9-8

6.9-8 The cross section of a slit rectangular tube of constant thickness is shown in the figures. (a) Derive the following formula for the distance \( e \) from the centerline of the wall of the tube in the figure part a to the shear center S: \[ e = \frac{b(2h + 3b)}{2(h + 3b)} \] (b) Find an expression for \( e \) if flanges with the same thickness as that of the tube are added as shown in figure part b.