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The mechanical system consists of two identical steel rods (A = 30 mm?, E = 200GPA, a = 15x106/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle e through which the beam AC would rotate due to this temperature change.

The mechanical system consists of two identical steel rods (A = 30 mm?, E = 200GPA, a = 15x106/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle e through which the beam AC would rotate due to this temperature change.

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.3P: A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b...
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11:15 1 Assignment 1 2 of 2 1|Page Problem 2 The mechanical system consists of two identical steel rods (A = 30 mm?, E = 200GPA, a = 15x106/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. 200 mm - 80 mm B -"Rigid" |(1) (2) 250 mm 2| Page
Transcribed Image Text:11:15 1 Assignment 1 2 of 2 1|Page Problem 2 The mechanical system consists of two identical steel rods (A = 30 mm?, E = 200GPA, a = 15x106/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. 200 mm - 80 mm B -"Rigid" |(1) (2) 250 mm 2| Page
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