Gere & Goodno — Axially Loaded Members: Problem 2.2-6

2.2-6 By what distance \( h \) does the cage shown in the figure move downward when the weight \( W \) is placed inside it? (See the figure.) Consider only the effects of the stretching of the cable, which has axial rigidity \( EA = 10,700 \text{ kN} \). The pulley at \( A \) has a diameter \( d_A = 300 \text{ mm} \) and the pulley at \( B \) has a diameter \( d_B = 150 \text{ mm} \). Also, the distance \( L_1 = 4.6 \text{ m} \), the distance \( L_2 = 10.5 \text{ m} \), and the weight \( W = 22 \text{ kN} \). Note: When calculating the length of the cable, include the parts of the cable that go around the pulleys at \( A \) and \( B \).