Question: The structure shown below consists of a rectangular frame with a taut rope connecting joint D to point E. The rope is made of

The structure shown below consists of a rectangular frame with a taut rope connecting joint D to point E. The rope is made of coarse horsehair and has a Young's Modulus E = 5 GPa. It is well-made and can be approximated as a cylinder with diameter d. A force is applied to joint C that causes the entire structure to sway into a parallelogram shape, as shown by the faded lines. Assume that all members of the structure are rigid and that B'C' is colinear with BC (small-angle approximation). B A B x Use the following values in your working out: LAB LCD 9 m LBC = 13 m x 2.5 m d = 160 mm 0 = 0.3 deg E D C C 20 a) Determine the average normal stress developed in the rope (2 marks) b) What is the average normal stress, and average normal force through the rope? (1 mark) c) Use the equation 8 = 1 P(x) dx to verify your answers to the previous parts. (1.5 marks) EA(x)

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