고체역학 (Beer) — Pure Bending: Problem 4.186

4.186 For the crane hook shown, determine the largest tensile stress in section a-a. Given values: Force applied at the tip: \( P = 15\text{ kN} = 15,000\text{ N} \) Inner radius of section a-a: \( r_1 = 60\text{ mm} = 0.060\text{ m} \) Section depth: \( h = 60\text{ mm} = 0.060\text{ m} \) Distance from the inner edge to the line of action of force \( P \): \( 40\text{ mm} = 0.040\text{ m} \) Section a-a (trapezoid): Inner width: \( b_1 = 35\text{ mm} = 0.035\text{ m} \) Outer width: \( b_2 = 25\text{ mm} = 0.025\text{ m} \) Height: \( h = 60\text{ mm} = 0.060\text{ m} \)