1.17 A tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.17. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 in./in. c. Yield stress at an extension strain of 0.005 in/in. d. Secant modulus at a stress of 62 ksi. e. Tangent modulus at a stress of 65 ksi.

Question 1 The cube in Figure Ql made of 200 mm sides of a certain material is subjected to a volumetric stress of 50 N/mm?. Determine the change in its volume if the Bulk modulus of the material is 100x10° N/mm?. 200 mm Figure Q1: Cube subjected to volumetric stress

b) A 1.25 m long cable has a diameter 3.50 mm with a Young's Modulus, E, of 9.75 x 10⁹ N/m². When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m², the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m³) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous. c) Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F, and the x-axis is 100. If force F₂ acts at an angle a = 400 between F2 and the y-axis: (i) Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. (ii) Determine the vertical force at A acting along the y-axis. Give your answers to the…

SECTION B- STRUCTURES-DR LARISA MALYSHEVA QB1 DIRECT STRESS Two round solid bars of different materials are connected (in parallel) and have a common tensile force, P, of 190 kN is applied,ras shown in Figure QB1. For each bar, determine the: a) b) Stress. Strain and Strain in the diameter. Use the following information. Clearly show all your derivations. The original length of each bar = 1.7m. %3D Steel Bar: 32mm Dia. Poisson's Ratio = 0.31 18mm Dia. Young's Modulus = 210 GPa %3D Steel Aluminium Bar Bar Common Connection Aluminium Bar: P = 190 kN Poisson's Ratio = 0.34 Young's Modulus = 68 GPa Fig QB1