A thin plate of linear elastic materials (E = 200 GPa, v = 0.25) is in plane stress (o, The plate is heated by 100 °F and the thermal %3D = Txz = Tyz = 0). expansion efficient of the plate is, a = 8 x 10-6- °F The plate is also compressed between two rigid, perfectly smooth surfaces as shown in the figure. Find the following: a. The non-zero stress in the plate. b. The change in the dimension in X- direction. c. The strain in the thickness direction of the plate, ɛ, and change in the thickness of the plate f the initial thickness is 4 mm.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thin plate of linear elastic materials (E = 200 GPa,
0.25) is in plane stress (a, = Txz = Tyz = 0).
The plate is heated by 100 °F and the thermal
V =
expansion efficient of the plate is, a = 8 x 10
6.
°F
The plate is also compressed between two rigid,
perfectly smooth surfaces as shown in the figure.
50 MPa
150 MPa
Find the following:
a. The non-zero stress in the plate.
b. The change in the dimension in X- direction.
c. The strain in the thickness direction of the
400 mm
plate, ɛ, and change in the thickness of the
plate f the initial thickness is 4 mm.
200 mm
Transcribed Image Text:A thin plate of linear elastic materials (E = 200 GPa, 0.25) is in plane stress (a, = Txz = Tyz = 0). The plate is heated by 100 °F and the thermal V = expansion efficient of the plate is, a = 8 x 10 6. °F The plate is also compressed between two rigid, perfectly smooth surfaces as shown in the figure. 50 MPa 150 MPa Find the following: a. The non-zero stress in the plate. b. The change in the dimension in X- direction. c. The strain in the thickness direction of the 400 mm plate, ɛ, and change in the thickness of the plate f the initial thickness is 4 mm. 200 mm
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