Q9. A solid steel bar, 75 mm diameter is fitted inside a 1O mm thick brass liner that has an internal diameter of 75 mm. The compound component is machined to a single length and positioned such that both ends are rigidly fixed. At ambient temperature there are no stresses in the steel or brass. During operation the temperature of the component is raised by 65°C.
Calculate EACH of the following:
(a) the direct stress in the steel bar induced by the temperature change; (14)
(b) the direct stress in the brass liner induced by the temperature change; (2)
Note:
Modulus of Elasticity for steel= 200 GN/m2
Coefficient of linear expansion for steel = 11 x 10-6/°C
Modulus of Elasticity for brass= 90 GN/m2
Coefficient of linear expansion for brass= 18.4 x 10-6/°C
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