Answered: F8-5. Determine the horizontal…

F8-5. Determine the horizontal displacement of joint D. AE is constant. Use the principle of virtual work. F8-6. Solve Prob. F8-5 using Castigliano's theorem. 6 kN -3m- -6 kN 3 m Probs. F8-5/6

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.12P: Repeat 1.3-10 but use the method of sections to find member forces in AB and DC.

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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

F8-5. Determine the horizontal displacement of joint D.
AE is constant. Use the principle of virtual work.
F8-6. Solve Prob. F8-5 using Castigliano's theorem.
6 kN
ID
-3m-
3'm
-6 kN
Probs. F8-5/6

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Step 1: Given Data

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Step 2: Taking all member with FBD

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Step 3: Solve the horizontal and vertical forces

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Step 4: considering the D point

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Step 5: considering A points

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Step 6: considering B points

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Step 7: Solving all terms as in tabulation

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