Derive the expression of Castigliano's 2nd theorem for linear displacement and slope.The bolt in Figure Q6 has a diameter of 10 mm and the link AB has a rectangularcross section that is 12 mm wide by 7 mm thick. The bolt is tightened so that it has atension of 500N. Both members are made of steel with elastic modulus of 200 GPa.By neglecting the hole in the link and with the help of free body diagram, determinethe strain energy.i)In the bolt due to axial force.ii)In the link due to bending60mm30mm50mmB7mmFigure Q6Bolt

Diameter of bolt, d=10 mm,Cross section of rectangular plate, A=12 mm× 7 mmTension in the bolt,…

Answered: made of steel with elasti d with the…

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made of steel with elasti d with the help of free be

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 2.8.10P: A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see...

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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

Derive the expression of Castigliano's 2nd theorem for linear displacement and slope.
The bolt in Figure Q6 has a diameter of 10 mm and the link AB has a rectangular
cross section that is 12 mm wide by 7 mm thick. The bolt is tightened so that it has a
tension of 500N. Both members are made of steel with elastic modulus of 200 GPa.
By neglecting the hole in the link and with the help of free body diagram, determine
the strain energy.
i)
In the bolt due to axial force.
ii)
In the link due to bending
60mm
30mm
50mm
B
7mm
Figure Q6
Bolt

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