The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.10 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00  1010 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.45  106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length?

Consider a square-faced beam supporting a section of a building. a)  Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m.  b) 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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What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's modulus of steel is 20×10^10N/m2. Express your answer in kilograms.