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

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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 ơx 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
A
Oy
Fig. 2
Transcribed Image Text: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 ơx 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 A Oy Fig. 2
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