a) Figure Q4 (a) shows an L-bracket ABC with diameter d which lies in the horizontal plane. It is made from a material with elastic and shear moduli E and G, respectively. If a vertical load P is applied at end C, determine the total strain energy that is stored in the whole structure. Express your answer in terms of P, E, G, d and L. Neglect the strain energy due to shear force. 2L B Figure Q4 (a) b) Figure Q4 (b) shows a QUARTER circular beam that is fixed at 4 and loaded by a horizontal force P at B. The curved beam has a radius of R, and a constant flexural rigidity of EI. By using Castigliano's second theorem, find the HORIZONTAL and VERTICAL deflection at end B. Express your answer in terms of P, R, E and I. Consider bending effects only. R

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 2.7.4P: The bar ABC shown in the figure is loaded by a force P acting at end C and by a force Q acting at...
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a) Figure Q4 (a) shows an L-bracket ABC with diameter d which lies in the horizontal plane. It is
made from a material with elastic and shear moduli E and G, respectively. If a vertical load P
is applied at end C, determine the total strain energy that is stored in the whole structure.
Express your answer in terms of P, E, G, d and L. Neglect the strain energy due to shear force.
2L
Figure Q4 (a)
b) Figure Q4 (b) shows a QUARTER circular beam that is fixed at A and loaded by a horizontal
force P at B. The curved beam has a radius of R, and a constant flexural rigidity of EI. By
using Castigliano's second theorem, find the HORIZONTAL and VERTICAL deflection at
end B. Express your answer in terms of P, R, E and I. Consider bending effects only.
R
Transcribed Image Text:a) Figure Q4 (a) shows an L-bracket ABC with diameter d which lies in the horizontal plane. It is made from a material with elastic and shear moduli E and G, respectively. If a vertical load P is applied at end C, determine the total strain energy that is stored in the whole structure. Express your answer in terms of P, E, G, d and L. Neglect the strain energy due to shear force. 2L Figure Q4 (a) b) Figure Q4 (b) shows a QUARTER circular beam that is fixed at A and loaded by a horizontal force P at B. The curved beam has a radius of R, and a constant flexural rigidity of EI. By using Castigliano's second theorem, find the HORIZONTAL and VERTICAL deflection at end B. Express your answer in terms of P, R, E and I. Consider bending effects only. R
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