3. An aluminum alloy plate (E = 70 GPa and v = 0.3), of thickness t= 8 mm, width b= 150 mm, and length a= 300 mm, is subjected to a state of plane stress having o, = 120 MPa (Fig. 2). (a) Determine the value of stress ox for which the length a remains unchanged (b) Determine the normal strain along y-axis (ɛ,) (c) Write the transformation equation for the normal strain in BD (d) Determine the normal strain along the diagonal BD; and (e) Determine the change in the length of BD after deformation. Oy Ox Ox

3. An aluminum alloy plate (E = 70 GPa and v = 0.3), of thickness t= 8 mm, width b= 150 mm, and length a= 300 mm, is subjected to a state of plane stress having o, = 120 MPa (Fig. 2). (a) Determine the value of stress ox for which the length a remains unchanged (b) Determine the normal strain along y-axis (ɛ,) (c) Write the transformation equation for the normal strain in BD (d) Determine the normal strain along the diagonal BD; and (e) Determine the change in the length of BD after deformation. Oy Ox Ox

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 7.7.13P: An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 ×...

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