175 mm B JA 150 mm C -225 mm- –300 mm- (a) A Į50 mm C_ |75 mm B, ind F25 mm- -300 mm (b) PROBLEM 2.5-8
A plastic bar ACE having two different solid circular cross-sections is held between rigid supports, as shown 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 Eis 6.0 GPa. and the coefficient of thermal expansion a is 100 x10-6 l°C. The bar is subjected 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 at and (3) the displacement Se, Df point C.
b.Repeat part (a) if the rigid support at A is replaced by elastic support having spring constant k = 50 MN/m (see figure part b; assume that only the bar ACE is subject to the temperature increase).
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