2) Which of the following strain fields are possible for a solid structure. Explain.(a) ɛ, = k(x+ y), 8, = k, 8, = kx, Y = ky, 7z = k, Y =0(b) ɛ, = k(x² + y²), ɛ, = ky, ɛ, = 0, 7y = kxy, Y3z = 0, 7x = 0(c) ɛ, = kz(x² + y²), 8, = ky²z, 8, = 0, 7 = kxyz, Yyz = 0, 7= = 0

The compatibility equation should be satisfied for the strain field to be possible. The…

2) Which of the following strain fields are possible for a solid structure. Explain. (a) ɛ, = k(x+ y), 8, = k, 8, = kx, Y» = ky, 7 = k, = 0 (b) 8, = k(x² + y*), Yx =0 8, = ky, 8, = 0, Yy = kxy, Y = 0, (c) 8, = kz(x² + y*), 8, = ky'z, 6, = 0, 7 = kxyz, Y = 0, Y= = 0 %3D

2) Which of the following strain fields are possible for a solid structure. Explain. (a) ɛ, = k(x+ y), 8, = k, 8, = kx, Y» = ky, 7 = k, = 0 (b) 8, = k(x² + y), Yx =0 8, = ky, 8, = 0, Yy = kxy, Y = 0, (c) 8, = kz(x² + y), 8, = ky'z, 6, = 0, 7 = kxyz, Y = 0, Y= = 0 %3D

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

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Question

2) Which of the following strain fields are possible for a solid structure. Explain.
(a) ɛ, = k(x+ y), 8, = k, 8, = kx, Y = ky, 7z = k, Y =0
(b) ɛ, = k(x² + y²), ɛ, = ky, ɛ, = 0, 7y = kxy, Y3z = 0, 7x = 0
(c) ɛ, = kz(x² + y²), 8, = ky²z, 8, = 0, 7 = kxyz, Yyz = 0, 7= = 0

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