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= 1 = ²/² 3 = 70 GPa, determine a single distributed loading in the x(y) direction that would produce the same Z(x) deformation as the original loading. Given: 1 [oz 2 = 7/7 [02 − v(ox + oy)] € z Ez = =[-oz - 1/10 - v(ox v(ox - oy)]v oz = -29.33MPa (Compression)

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= 1 = ²/² 3 = 70 GPa, determine a single distributed loading in the x(y) direction that would produce the same Z(x) deformation as the original loading. Given: 1 [oz 2 = 7/7 [02 − v(ox + oy)] € z Ez = =[-oz - 1/10 - v(ox v(ox - oy)]v oz = -29.33MPa (Compression)

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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