Consider a square-faced beam supporting a section of a building. a. Before installation, the length of the beam is found to be l0 = 15.04 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.95 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 36000 kg and has a side length d = 1.5 m. b. If we were to double the dimensions (length and width) of the beam, which of the following are correct. c. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.
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Consider a square-faced beam supporting a section of a building.
a. Before installation, the length of the beam is found to be l0 = 15.04 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.95 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 36000 kg and has a side length d = 1.5 m.
b. If we were to double the dimensions (length and width) of the beam, which of the following are correct.
c. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.
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