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The figure shows a cantilever beam of length 20a loaded by a tip force P in B. The beam is homogeneous and the cross-section is a symmetric thin-walled profile with overall dimensions given in terms of a, as shown in the figure to the right. The horizontal flange thickness is 2t, while the thickness of the vertical flanges is 5t.

a) Determine the moment Mz and shear force Qz at the support A.

b) Find the location of the elastic center C and determine the crosssection moment of inertia Iz¯.

c) Find the distribution of the normal stress σ and shear stress τ in the cross-section.

d) Determine the maximum von Mises stress in the top flange, and compare with the von Mises stress at the bottom of the vertical flange

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