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 thermalV =expansion efficient of the plate is, a = 8 x 106.°FThe plate is also compressed between two rigid,perfectly smooth surfaces as shown in the figure.50 MPa150 MPaFind 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 the400 mmplate, ɛ, and change in the thickness of theplate f the initial thickness is 4 mm.200 mm

Given data, E = Young's modulus of the plate = 200 x103 MPa μ = Poisson's ratio = 0.25 △T = Increase…

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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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