The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s = 290, in units of 106 N/m². What are (a) the Young's modulus and (b) the approximate yield strength for this material? Assume ε = 0.0090. (a) Number i (b) Number i Stress (106 N/m²) IK E Strain Units Units 2ɛ

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.

Draw the shear and bending-moment diagrams for the beam and loading shown and determine the maximum normal stress due to bending. 2 kN 1 m 3 kN/m 4 m 1 (for solid circle of radius c) = n/4 c B 140 mm TOT 160 mm

Structural member AB is to be supported by a strut CD. Determine the smallest length CD may have, and specify where D must be located for a strut of this length to be used. Take x= 120 mm. 60 mm D. y 20 mm E The smallest length CD may have is mm. The coordinates of point Dare ( and Imm.

Problem 2 P A 40 kips 30 in. 30 kips B 30 kips 40 in. Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which the tensile stress in rod AB is twice the magnitude of the compressive stress in rod BC.