A rectangular aluminum block is 100 mm long in the x direction, 75 mm wide in the y direction and 50 mm thick in the z direction. It is subjected to a triaxial loading consisting of a uniformly distributed tensile force of 200 kN in the x direction and uniformly distributed compressive forces of 160 kN in the y direction and 220 kN in the z direction. If V = and E = 70 GPa, determine a 3 single distributed loading in the y direction that would produce the same x deformation as the original loading.

A rectangular aluminum block is 100 mm long in the x direction, 75 mm wide in the y direction and 50 mm thick in the z direction. It is subjected to a triaxial loading consisting of a uniformly distributed tensile force of 200 kN in the x direction and uniformly distributed compressive forces of 160 kN in the y direction and 220 kN in the z direction. If V = and E = 70 GPa, determine a 3 single distributed loading in the y direction that would produce the same x deformation as the original loading.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

A rectangular aluminum block is 100 mm long in the x direction, 75 mm wide in the y direction
and 50 mm thick in the z direction. It is subjected to a triaxial loading consisting of a uniformly
distributed tensile force of 200 kN in the x direction and uniformly distributed compressive forces
of 160 kN in the y direction and 220 kN in the z direction. If V = and E = 70 GPa, determine a
single distributed loading in the y direction that would produce the same x deformation as the
original loading.
Given:
1
ΕΖ [oz − v(ox + oy)]
-
E
1
EZ= -02 v(ox - oy)]v
E
oz = −29.33MPa (Compression)

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