Chapter 2 | Solution to Problems | Stress and Strain – Axial Loading | Mechanics of Materials

Problem 2.17: The specimen shown has been cut from a 1/4-in.-thick sheet of vinyl (E = 0.45 × 106 psi) and is subjected to a 350-lb tensile load. Determine (a) the total deformation of the specimen, (b) the deformation of its central portion BC. Problem 2.28: The length of the 3/32-in.-diameter steel wire CD has been adjusted so that with no load applied, a gap of 1/16 in. exists between the end B of the rigid beam ACB and a contact point E. Knowing that E = 29 × 106 psi, determine where a 50-lb block should be placed on the beam in order to cause contact between B and E. Problem 2.51: A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (Es = 200 GPa, αs = 11.7 × 10-6/°C) and portion BC is made of brass (Eb = 105 GPa, αb = 20.9 × 10-6/°C). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of 50°C. Problem 2.70: The block shown is made of a magnesium alloy for which E = 45 GPa and ν = 0.35. Knowing that σx = -180 MPa, determine (a) the magnitude of σy for which the change in the height of the block will be zero, (b) the corresponding change in the area of the face ABCD, (c) the corresponding change in the volume of the block. Problem 2.98: For P = 100 kN, determine the minimum plate thickness t required if the allowable stress is 125 MPa.