Before installation, the length of the beam is found to be i_0 = 15 m (figure a)

Question

Before installation, the length of the beam is found to be i_0 = 15 m (figure a). After installation and construction, the length is premeasured and found to be/= 14.92 m (figure b). Determine Young's Modulus Y in N/m^2 for the beam if it supports a mass m = 36000 kg and has a side length d- 1.7 m. If we were to double the dimensions (length and width) of the beam, which of the following are correct. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass my (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of d. 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 K is known.

Explanation / Answer

Young's modulus= stress/strain=mgL/Al = 36000*9.8*15/1.7*1.7*0.08 = 22889273.36 Pascal

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