ECM1108 Core Engineering 2: Solid Mechanics 2016/17
An axial member of square cross section of side length 0.1 m, of length L = 5 m with a Young’s
Modulus E =100 GPa is subjected to an axial tensile force P = 10 kN. What is maximum longitudinal
stress in the beam? What is the extension of the beam? [5 marks]
An aluminium rod of 100 mm diameter and with a shear modulus of elasticity of G = 10 GPa is
twisted by torques of 10 kNm acting at each end. If the maximum allowable angle of twist is 2
radians, what is the maximum allowable length of the rod? [5 marks]
Two wrenches are used to tighten the pipe. If the pipe is made from a material having an allowable
shear stress of allow = 70 MPa, determine the allowable maximum force P that can be applied to
each wrench. The pipe has an outer diameter of 30mm and inner diameter of 25mm. [5 marks]
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