1- The two uniform linearly elastic rods shown below are welded together at B, and the resulting two-segment rod is attached to rigid supports at A and C. Rod (1) has a modulus E = 135 GPa, cross-sectional area A = coefficient of thermal expansion a = 7.5 x 10°/°C. Rod (2) has a modulus E2 = 85 GPa, cross-sectional area A2 = 950 mm2, length L2 = 90 mm, and coefficient of thermal expansion a2 = 12.5 x 10/°C. a) Determine the axial stresses in the rods if the temperature of both is raised by 60 °C. b) Determine whether joint B moves to the right or left and by how much? 520 mm, length L = 120 mm, and %3D %3D %3D %3! %3D Rigid support Rigid support

Mechanics of Materials (MindTap Course List)
9th Edition
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.8.14P: A rigid bar AB having a mass M = 1.0 kg and length L = 0.5 m is hinged at end A and supported at end...
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1- The two uniform linearly elastic rods shown below are welded together at B, and the
resulting two-segment rod is attached to rigid supports at A and C. Rod (1) has a
modulus E = 135 GPa, cross-sectional area A = 520 mm“, length LI
coefficient of thermal expansion a = 7.5 x 10/°C. Rod (2) has a modulus E2 = 85 GPa,
cross-sectional area A2 = 950 mm2, length L2 = 90 mm, and coefficient of thermal
expansion a2 = 12.5 x 10/°C.
Determine the axial stresses in the rods if the temperature of both is raised by 60 °C.
b) Determine whether joint B moves to the right or left and by how much?
%3D
120 mm, and
%3D
%3D
Rigid support
Rigid support
В
(1)
(2)
Transcribed Image Text:1- The two uniform linearly elastic rods shown below are welded together at B, and the resulting two-segment rod is attached to rigid supports at A and C. Rod (1) has a modulus E = 135 GPa, cross-sectional area A = 520 mm“, length LI coefficient of thermal expansion a = 7.5 x 10/°C. Rod (2) has a modulus E2 = 85 GPa, cross-sectional area A2 = 950 mm2, length L2 = 90 mm, and coefficient of thermal expansion a2 = 12.5 x 10/°C. Determine the axial stresses in the rods if the temperature of both is raised by 60 °C. b) Determine whether joint B moves to the right or left and by how much? %3D 120 mm, and %3D %3D Rigid support Rigid support В (1) (2)
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