고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.9-4

5.9-4 A circular pole is subjected to linearly varying distributed force with maximum intensity \(q_0\). Calculate the diameter \(d_0\) of the pole if the maximum allowable shear stress for the pole is 75 MPa. From the accompanying figure for Problem 5.9-4: Maximum load intensity at the base: \(q_0 = 100 \text{ kN/m}\) Length of the pole: \(L = 2 \text{ m}\) Allowable shear stress: \(\tau_{\text{allow}} = 75 \text{ MPa}\)