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

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter1: Heat, Temperature, And Pressure
Section: Chapter Questions
Problem 17RQ: Convert 22C to Fahrenheit.
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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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