Determine the distribution of the normal stress from n

Reference no: EM131258409

The figure shows a cantilever beam loaded by a normal force N = P and a torsion moment M_x = 0.4P a. The thin-walled cross-section is a double symmetric box profile with overall dimensions given in terms of a as shown in the figure. The thickness of the top and bottom flanges is 2_t, while the thickness of the side flanges is t. The material is linear elastic with elastic modulus E and shear modulus G = E/2.6.

a) Determine the distribution of the normal stress from N.

b) Determine the shear stress distribution from M_x.

c) Find the largest principal stress σ1 in each of the four flanges.

d) Determine the angle between the largest principal stress component σ₁ and the longitudinal axis x, and show the orientation of the principal stresses in a figure.

Reference no: EM131258409

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