a) The total strain energy for a bar of length L. is given by the equation2EAHow would the equation change if the bar is tapered as shown in Figure Q4 (a)?Cakulation is not required.Figure Q4 (a)b) The frame ABCD with uniform diameter 40 mm and length L- 500 mm shown inFigure Q4 (b) is in the horizontal (xy) plane. One end of the frame (4) is fixed to a rigid walland the other end (D) is subjected to a vertical force F-2 kN. Given that the frame is made ofa material with E-80 GPa and G-30 GPa. Determine:i) The strain energy stored in the frame member CB (ignore energy due to shear).i) The vertical deflection at point D using Castigliano's second theorem (consider bendingeffecet only).Figure Q4 (b)

we have to determine the effect of making the bar tapered.

Answered: a) The total strain energy for a bar of…

a) The total strain energy for a bar of length L. is given by the equation -J. 2EA. How would the equation change if the bar is tapered as shown in Figure Q4 (a)? Calkulation is not required.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

a) The total strain energy for a bar of length L. is given by the equation
2EA
How would the equation change if the bar is tapered as shown in Figure Q4 (a)?
Cakulation is not required.
Figure Q4 (a)
b) The frame ABCD with uniform diameter 40 mm and length L- 500 mm shown in
Figure Q4 (b) is in the horizontal (xy) plane. One end of the frame (4) is fixed to a rigid wall
and the other end (D) is subjected to a vertical force F-2 kN. Given that the frame is made of
a material with E-80 GPa and G-30 GPa. Determine:
i) The strain energy stored in the frame member CB (ignore energy due to shear).
i) The vertical deflection at point D using Castigliano's second theorem (consider bending
effecet only).
Figure Q4 (b)

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