A square plate of width b and thickness t is loaded by normal forces Pz and Py. and by shear forces V, asshown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson'sratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. Thedimensions for an aluminum plate are b = 10 in.. t = 0.75 in.., E = 10,600 ksi , v = 0.33. Pz = 96 k.Py = 24 k, V = 18 k. .PPx(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 least640 lb-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to threedecimal places)t =in.(C) Find the minimum width b of the square plate of thickness t = 0.75 in. when the change in volume ofthe plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places)in.

Given data Width (b) = 690mm = 69*10-³m Thickness (t) = 40mm = 40*10-³m E = 41 Gpa = 41*10⁹ V =…

Answered: uniformly distributed stresses acting…

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uniformly distributed stresses acting on the side faces plate are b = 10 in. t = 0.75 in.., E = 10,600 ksi,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A square plate of width b and thickness t is loaded by normal forces Pz 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. Pz = 96 k.
Py = 24 k, V = 18 k. .
P
Px
(a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places)
AV =|
in.3
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 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 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.

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