Part (1): 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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.4.9P: Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For...
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Part (1): 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

= 40 MPa
30 mm
dy
B
= 80 MPa
D
C
30 mm-
Figure.1: Square plate under uniform pressure
Transcribed Image Text:= 40 MPa 30 mm dy B = 80 MPa D C 30 mm- Figure.1: Square plate under uniform pressure
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