|A [50 mm C 175 mm -225 mm- -300 mm- (a) A 50 mm C 175 mm k -225 mm -300 mm- (b) PROBLEM 2.5-8
A plastic bar ACB having two different solid circular cross sections is
held between rigid supports, asshown in the figure. The diameters in the left-and right-hand parts are 50 mm and 75 mm. respectively. The corresponding lengths are 225 mm and 300 mm. Also, the modulus of elasticity E is 6.0 GPa. and the coeffident of thermal expansion a is 100 x
10-6 l°C. The bar issubjected to a uniform temperature increase of 30°C.
(a) Calculate the following quantities:(I) the compressive force Nin the
bar.(2) the maximum compressive stress a/, and (3) the displacement
Scof point C.
(b) Repeat part (a) if the rigid support at A is replaced by an elastic support having spring constant k = 50 MN/m (see figure part b;assume that only the bar ACB is subject to the temperature increase).
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