Aluminum beam AB (E=10x106 psi) is fixed to a wall at point A as shown. Magnesium rod CD (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi) with cross-sectional area A=1.0 in? and length l=12"is connected to AB via a pin joint as shown. It is unloaded at room temperature. If the temperature in CD is reduced by 100 degrees: Determine the deflection of beam AB at point C Determine the magnitude of the maximum bending stress in beam AB and its location (x coordinate) along its length Determine the magnitude of the maximum horizontal shear stress in beam AB and identify its location on the beam cross-section.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Aluminum beam AB (E=10x106 psi) is fixed to a wall at point A as shown.
Magnesium rod CD (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi) with cross-sectional area
A=1.0 in² and length l=12"is connected to AB via a pin joint as shown. It is unloaded at
room temperature. If the temperature in CD is reduced by 100 degrees:
Determine the deflection of beam AB at point C
Determine the magnitude of the maximum bending stress in beam AB
and its location (x coordinate) along its length
Determine the magnitude of the maximum horizontal shear stress in
beam AB and identify its location on the beam cross-section.
8 ft
6 ft
2"
A
B
4"
D
Beam cross-section
Transcribed Image Text:Aluminum beam AB (E=10x106 psi) is fixed to a wall at point A as shown. Magnesium rod CD (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi) with cross-sectional area A=1.0 in² and length l=12"is connected to AB via a pin joint as shown. It is unloaded at room temperature. If the temperature in CD is reduced by 100 degrees: Determine the deflection of beam AB at point C Determine the magnitude of the maximum bending stress in beam AB and its location (x coordinate) along its length Determine the magnitude of the maximum horizontal shear stress in beam AB and identify its location on the beam cross-section. 8 ft 6 ft 2" A B 4" D Beam cross-section
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