Answered: square plate is subjected to uniform…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A 30 ?? square plate is subjected to uniform pressure as shown in Figure.1. The 2D loading stresses
are described. If the modulus of elasticity is 200 ??? and the lateral constant (Poisson's ratio ? = 0.3). Estimate
the change in length in the vertical, horizontal and diagonal sides as well as determine the volumetric strain.
Illustrate the effect of two-dimensionalstrain by constructing appropriate sketches (before and after deformation).
Repeat the analysis for lower value of pressure and higher value in the range of [20 -100 MPa] and comment on
the overall results.

Ty
30 mm
40 MPa
B
₁ = 80 MPa
с
D
-30 mm-
Figure.1: Square plate under uniform pressure

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