Figure Q4 (a) shows an L-bracket ABC 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 Pis 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, I and J. Neglect the strain energy due to transverse shear force.

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 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 Pis applied at end C, determine the total strain energy that is stored in
the whole structure. Express your answer in tems of P, E, G, I and J. Neglect the
strain energy due to transverse shear force.
b) AL-beam ABC with a diameter of 15 mm shown in Figure Q4 (b) is fixed at.4. It
is subjected to a horizontal force of 10 N at B and a vertical force of P at C. The
material has an elastic and shear moduli of 200 GPa and 70 GPa, respectively. Use
Castigliano's second theorem and consider bending effects ONLY.
(i) What is the value of the vertical force P so that there is NO VERTICAL
DISPLACEMENT at C?
(ii) By using the value of P obtained from part (i), calculate the slope at C.
B
10 N
2 m
3 m
3 m
B.
2 m
Figure Q4 (a)/Rajah S4(a)
Figure Q4 (b)/Rajah S4(b)
Transcribed Image Text:a) Figure Q4 (a) shows an L-bracket ABC 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 Pis applied at end C, determine the total strain energy that is stored in the whole structure. Express your answer in tems of P, E, G, I and J. Neglect the strain energy due to transverse shear force. b) AL-beam ABC with a diameter of 15 mm shown in Figure Q4 (b) is fixed at.4. It is subjected to a horizontal force of 10 N at B and a vertical force of P at C. The material has an elastic and shear moduli of 200 GPa and 70 GPa, respectively. Use Castigliano's second theorem and consider bending effects ONLY. (i) What is the value of the vertical force P so that there is NO VERTICAL DISPLACEMENT at C? (ii) By using the value of P obtained from part (i), calculate the slope at C. B 10 N 2 m 3 m 3 m B. 2 m Figure Q4 (a)/Rajah S4(a) Figure Q4 (b)/Rajah S4(b)
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