A plastic bar ACB having two different solid circular cross sections is held between rigid supports as shown in the figure. The diameters in the left and right 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 coefficient of thermal expansion is 100 x10%C°. The bar is subjected to a uniform temperature increase of 30°C.Calculate the following quantities: (a) the compressive force P in the bar. (b) the maximum compressive stress sc. (c) the displacement of point C.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.6.4P: A brass wire of diameter d = 2.42 mm is stretched tightly between rigid supports so that the tensile...
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A plastic bar ACB having two different solid circular cross sections is held between rigid supports as shown
in the figure. The diameters in the left and right 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 coefficient of thermal
expansion is 100 x10/C°. The bar is subjected to a uniform temperature increase of 30°C.Calculate the
following quantities:
(a) the compressive force P in the bar.
(b) the maximum compressive stress sc.
(c) the displacement of point C.
|A |50 mm C
75 mm
B
225 mm-
-300 mm
Transcribed Image Text:A plastic bar ACB having two different solid circular cross sections is held between rigid supports as shown in the figure. The diameters in the left and right 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 coefficient of thermal expansion is 100 x10/C°. The bar is subjected to a uniform temperature increase of 30°C.Calculate the following quantities: (a) the compressive force P in the bar. (b) the maximum compressive stress sc. (c) the displacement of point C. |A |50 mm C 75 mm B 225 mm- -300 mm
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