고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.9-5

6.9-5 The cross section of a channel beam with double flanges and constant thickness throughout the section is shown in the figure. Derive the following formula for the distance \(e\) from the centerline of the web to the shear center \(S\): \[e = \frac{3b^2(h_1^2 + h_2^2)}{h_2^3 + 6b(h_1^2 + h_2^2)}\]