PROBLEM 2The composite bar is rigidly attached to unyielding supports. The bar is stress-free at 65°F. Atwhat temperature will the aluminium and steel segments in the given figure have stresses of equalmagnitude after the 12.5 kip force is applied? The coefficient of linear expansion of aluminium isa = 12.8 x 10-/°F and steel is a = 6.5 x 10-/ºFAluminumSteelA = 2 in.2E = 10 × 106 psiA = 3 in.2E = 29 × 106 psi12.515 in.--10 in.-

GivenInitial temp T1=65°FThe force P=12.5kps =12.5×103lbsCofficient of linear expansion αfor…

The composite bar is rigidly attached to unyielding supports. The bar is stress-free at 65°F. At what temperature will the aluminium and steel segments in the given figure have stresses of equal nagnitude after the 12.5 kip force is applied? The coefficient of linear expansion of aluminium is x = 12.8 x 10-6/ºF and steel is a = 6.5 x 10-6/ºF Aluminum Steel A = 2 in.2 E = 10 × 106 psi A = 3 in.2 E = 29 × 106 psi 12.5 -15 in.- 10 in.-

The composite bar is rigidly attached to unyielding supports. The bar is stress-free at 65°F. At what temperature will the aluminium and steel segments in the given figure have stresses of equal nagnitude after the 12.5 kip force is applied? The coefficient of linear expansion of aluminium is x = 12.8 x 10-6/ºF and steel is a = 6.5 x 10-6/ºF Aluminum Steel A = 2 in.2 E = 10 × 106 psi A = 3 in.2 E = 29 × 106 psi 12.5 -15 in.- 10 in.-

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 2.6.8P: A copper bar with a rectangular cross section is held without stress between rigid supports (see...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

PROBLEM 2
The composite bar is rigidly attached to unyielding supports. The bar is stress-free at 65°F. At
what temperature will the aluminium and steel segments in the given figure have stresses of equal
magnitude after the 12.5 kip force is applied? The coefficient of linear expansion of aluminium is
a = 12.8 x 10-/°F and steel is a = 6.5 x 10-/ºF
Aluminum
Steel
A = 2 in.2
E = 10 × 106 psi
A = 3 in.2
E = 29 × 106 psi
12.5
15 in.-
-10 in.-

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