Answered: 25 mm Brass core E = 105 GPa a = 20.9 ×…

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25 mm Brass core E = 105 GPa a = 20.9 × 10–PC Aluminum shell E = 70 GPa a = 23.6 X 10-°C 60 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

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.

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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

The aluminum shell is fully bonded to the brass core and the assembly is unstressed at a temperature of 15°C. Considering only axial defor-mations, determine the stress in the aluminum when the temperature reaches 195°C.

25 mm
Brass core
E = 105 GPa
a = 20.9 × 10–PC
Aluminum shell
E = 70 GPa
a = 23.6 X 10-°C
60 mm

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