A compound bar is constructed from three bars 50 mm wide and 12 mm thick fastened together to form a bar of 50 mm width and 36 mm height. The middle bar is made of Aluminum alloy for which E-70 GPa and the outside bars are made of Brass with E=100 GPa. If the bars are initially fastened at 18°C and the temperature of the whole assembly is then raised to 50°C. A)Determine the stresses set up in the brass and aluminum. B) Determine the compression Load at which the total stress in one bar will be zero, find also the total stress of the other bar.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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Q1
A compound bar is constructed from three bars 50 mm wide and
12 mm thick fastened together to form a bar of 50 mm width and 36 mm
height. The middle bar is made of Aluminum alloy for which E-70 GPa
and the outside bars are made of Brass with E-100 GPa. If the bars are
initially fastened at 18°C and the temperature of the whole assembly is
then raised to 50°C.
A)Determine the stresses set up in the brass and aluminum.
B) Determine the compression Load at which the total stress in one bar
will be zero, find also the total stress of the other bar.
Transcribed Image Text:Q1 A compound bar is constructed from three bars 50 mm wide and 12 mm thick fastened together to form a bar of 50 mm width and 36 mm height. The middle bar is made of Aluminum alloy for which E-70 GPa and the outside bars are made of Brass with E-100 GPa. If the bars are initially fastened at 18°C and the temperature of the whole assembly is then raised to 50°C. A)Determine the stresses set up in the brass and aluminum. B) Determine the compression Load at which the total stress in one bar will be zero, find also the total stress of the other bar.
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