A pin connected structure is loaded and supported as shown in the Figure below. Member AB is rigid; C is a steel rod (E=200Gpa, A=600 mm², and α= 11.9(10-6/ºC); and D is aluminium post (E=73 Gpa, A=2500 mm², and α= 22.5(10-6/ºC). Initially, bar AB is horizontal and rod C is vertical, and there is a 0.09-mm gap between the horizontal arm and post D. If a 35-kN force P is applied to the right end of the bar AB and the temperature of the system is raised by 4T= 40°C, determine 1. The normal stresses in the steel rod C and aluminium post D. 2. The changes in length of the steel rod C and of the aluminium post D. 50 mm 0.09 mm unloaded B P 100 mm 200 mm E Rigid 150 mm C 300 mm

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 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and...
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A pin connected structure is loaded and supported as shown in the Figure below. Member AB
is rigid; C is a steel rod (E=200Gpa, A=600 mm², and α= 11.9(10-6/ºC); and D is aluminium
post (E=73 Gpa, A=2500 mm², and α= 22.5(10-6/ºC). Initially, bar AB is horizontal and rod C
is vertical, and there is a 0.09-mm gap between the horizontal arm and post D. If a 35-kN force
P is applied to the right end of the bar AB and the temperature of the system is raised by 4T=
40°C, determine
1. The normal stresses in the steel rod C and aluminium post D.
2. The changes in length of the steel rod C and of the aluminium post D.
50 mm
0.09 mm
unloaded
B
P
100 mm
200 mm
E
Rigid
150 mm
C
300 mm
Transcribed Image Text:A pin connected structure is loaded and supported as shown in the Figure below. Member AB is rigid; C is a steel rod (E=200Gpa, A=600 mm², and α= 11.9(10-6/ºC); and D is aluminium post (E=73 Gpa, A=2500 mm², and α= 22.5(10-6/ºC). Initially, bar AB is horizontal and rod C is vertical, and there is a 0.09-mm gap between the horizontal arm and post D. If a 35-kN force P is applied to the right end of the bar AB and the temperature of the system is raised by 4T= 40°C, determine 1. The normal stresses in the steel rod C and aluminium post D. 2. The changes in length of the steel rod C and of the aluminium post D. 50 mm 0.09 mm unloaded B P 100 mm 200 mm E Rigid 150 mm C 300 mm
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