Answered: F8-9. Determine the vertical…

F8-9. Determine the vertical displacement of joint B. AE is constant. Use the principle of virtual work. F8-10. Solve Prob. F8-9 using Castigliano's theorem. -1.5 m B -1.5 m Probs, F8-9/10 2m 8 kN

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 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

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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

F8-9. Determine the vertical displacement of joint B.
AE is constant. Use the principle of virtual work.
F8-10. Solve Prob. F8-9 using Castigliano's theorem.
-1.5 m
B
-1.5 m-
Probs, F8-9/10
2 m
8 kN

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Step 1: Freebody diagram

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Step 2: Forces in each member at give load

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Step 3: Forces in each member due to virtual load at B

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Step 4: castiglianos theorem

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