A square plate of width b and thickness t is loaded by normal forces P, and Py, and by shear forces V, as shown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson's ratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. The dimensions for analuminum plate are b = 10 in., t = 0.75 in., E = 10,600 ksi, v = 0.33, P, = 96 k, Py = 24 k, V = 18 k,Px(a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places)AV =in.3Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number)V =in.-lb(b) Find the maximum permissible thickness of the plate when the strain energy U must be at least 640 lb-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to three decimal places)t =in.(C) Find the minimum width b of the square plate of thicknesst = 0.75 in. when the change in volume of the plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places)b =in.

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A square plate of width o and thickness t is loaded by normal forces P, and Py, and by shear forces V, as shown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson's ratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. The dimensions for an aluminum plate are b = 10 in., t = 0.75 in., E = 10,600 ksi, v = 0.33, P. = 96 k P, = 24 k, V = 18 k. (a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places) AV = 1 in. Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number) V =| in.-lb (b) Find the maximum permissible thickness of the plate when the strain energy U must be at least 640 Ib-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to three decimal places) t= in. (c) Find the minimum width b of the square plate of thickness t = 0.75 in. when the change in volume of the plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places) in.

A square plate of width o and thickness t is loaded by normal forces P, and Py, and by shear forces V, as shown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson's ratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. The dimensions for an aluminum plate are b = 10 in., t = 0.75 in., E = 10,600 ksi, v = 0.33, P. = 96 k P, = 24 k, V = 18 k. (a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places) AV = 1 in. Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number) V =| in.-lb (b) Find the maximum permissible thickness of the plate when the strain energy U must be at least 640 Ib-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to three decimal places) t= in. (c) Find the minimum width b of the square plate of thickness t = 0.75 in. when the change in volume of the plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places) in.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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