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Consider the tapered bar in problem 17. Use the Rayleigh-Ritz method to solve the same problem. Assume the displacement in the form of
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Introduction To Finite Element Analysis And Design
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- Find the solution set of each of the following equation/inequality. |x9|= 4x + 1arrow_forwardA long circular shaft of length L with variable cross-section is fixed onto rigid walls as shown in Figure 1.1. The polar moment of inertia of the L/3-long segment (J1) with a larger cross section is three times larger than that of a 2L/3-long segment (J2) on the right. Assume the shear modulus is constant and equal to G for the entire shaft and that strains are small and linear elastic. L/3 L/3 L/3 Figure 1.1. Shaft with variable cross-section and external torque T. (a) If the shaft is subjected to an external torque T at point b, find the angle of twist of point b with respect to point a. (b) If the shaft is subjected to an external torque T at point a, as shown in Figure 1.2, find the angle of twist of point a with respect to point b. L/3- L/3 b J2 L/3 Figure 1.2. Shaft with variable cross-section and external torque T.arrow_forwardWrite down the governing equation and derive the boundary conditions in terms of displacement field for the beam in the following figure. P.arrow_forward
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