A rigid beam BG is supported by a smooth pin C and by rods (1) and...
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A rigid beam BG is supported by a smooth pin C and by rods (1) and (2), that are attached to the beam at points D and B respectively. Both rods are identical with stiffness k and thermal expansion coefficient a. The beam is horizontal (3-0) when only rod (2) is attached and P=0. During fabrication, rod (1) was made & shorter than needed, as illustrated in the figure below (where 8 << L). In order to build the assembly, rod (1) was placed in the oven to increase its length so that it would fit between pins D and F. Hint: Assume SMALL deformations! Since > <<< L, you can assume that both rods have the same stiffness k. A 0 a C a F E B (1) 15 a L -G P (a) What is the temperature needed to fix rod (1) to the pin F. (b) After assembly, rod (1) returns to its original temperature and a vertical force P is applied at G as indicated. Obtain an expression for the strain in rod (1), E₁. Your answer should be a function of P, 8, 5, L and k. A rigid beam BG is supported by a smooth pin C and by rods (1) and (2), that are attached to the beam at points D and B respectively. Both rods are identical with stiffness k and thermal expansion coefficient a. The beam is horizontal (3-0) when only rod (2) is attached and P=0. During fabrication, rod (1) was made & shorter than needed, as illustrated in the figure below (where 8 << L). In order to build the assembly, rod (1) was placed in the oven to increase its length so that it would fit between pins D and F. Hint: Assume SMALL deformations! Since > <<< L, you can assume that both rods have the same stiffness k. A 0 a C a F E B (1) 15 a L -G P (a) What is the temperature needed to fix rod (1) to the pin F. (b) After assembly, rod (1) returns to its original temperature and a vertical force P is applied at G as indicated. Obtain an expression for the strain in rod (1), E₁. Your answer should be a function of P, 8, 5, L and k.
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Related Book For
Probability and Statistical Inference
ISBN: 978-0321923271
9th edition
Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Posted Date:
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