the normal stress on the rectangular cross sec tion abcd ivaries linearly with respect to the co

Step 1: From the given normal stress distribution, we have shown that $M_y = 0$ for this symmetr

Question

The normal stress on the rectangular cross section ABCD varies linearly with respect to the coordinate. That is, it has the form σx = a + by, varying linearly from σxb at the bottom edge of the cross section to σx at the top edge of the cross section. (a) Show that My = 0 for this symmetrical normal stress distribution. (b) Determine an expression for the axial force Fx in terms of the stresses σxb and σx and the dimensions of the cross section, width b and height h. (c) Determine an expression for the corresponding value of the bending moment Mz.

          The normal stress on the rectangular cross section ABCD varies linearly with respect to the coordinate. That is, it has the form σx = a + by, varying linearly from σxb at the bottom edge of the cross section to σx at the top edge of the cross section. 
(a) Show that My = 0 for this symmetrical normal stress distribution. 
(b) Determine an expression for the axial force Fx in terms of the stresses σxb and σx and the dimensions of the cross section, width b and height h. 
(c) Determine an expression for the corresponding value of the bending moment Mz.

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