Question

(9%) Problem 11: Consider a square-faced beam supporting a section of a building. a) d l0 b) m l c) m2 l0 d + ?d 33% Part (a) Before installation, the length of the beam is found to be l0 = 15.01 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 = 38000 kg and has a side length d = 1.9 m. Y = 33% Part (b) If we were to double the dimensions (length and width) of the beam, which of the following are correct. 33% Part (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 ?d. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio ? for this beam if its Young's modulus Y is known.

          (9%) Problem 11: Consider a square-faced beam supporting a section of a building.

a)
d
l0

b)
m
l

c)
m2
l0
d + ?d

33% Part (a) Before installation, the length of the beam is found to be l0 = 15.01 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 = 38000 kg and has a side length d = 1.9 m.

Y =

33% Part (b) If we were to double the dimensions (length and width) of the beam, which of the following are correct.

33% Part (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 ?d. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio ? for this beam if its Young's modulus Y is known.

(9%) Problem 11: Consider a square-faced beam supporting a section of a building.

a)
d
l0

b)
m
l

c)
m2
l0
d + ?d

33% Part (a) Before installation, the length of the beam is found to be l0 = 15.01 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 = 38000 kg and has a side length d = 1.9 m.

Y =

33% Part (b) If we were to double the dimensions (length and width) of the beam, which of the following are correct.

33% Part (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 ?d. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio ? for this beam if its Young's modulus Y is known.

Added by Timothy N.

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