고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.9-3

6.9-3 The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following formula for the distance \(h_1\) from the centerline of one flange to the shear center S: \[h_1 = \frac{t_2 b_2^3 h}{t_1 b_1^3 + t_2 b_2^3}\] Also, check the formula for the special cases of a T-beam (\(b_2 = t_2 = 0\)) and a balanced wide-flange beam (\(t_2 = t_1\) and \(b_2 = b_1\)).