The cross-section is loaded by a torsion moment mx the, Physics

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The cross-section is loaded by a torsion moment mx the

The figure shows the cross-section of a box girder with overall dimensions given in terms of a in the figure. The thickness of the upper horizontal flange is 2t, while the thickness of the remaining three flanges is t. The cross-section is loaded by a torsion moment M_x. The material is linear elastic with shear modulus G. The cross-section is thin-walled with t « a.

a) Determine the shear flow q in the crosssection.

b) Determine the mean shear stress τ_m in each of the flanges of the cross-section.

c) Determine the torsion stiffness GK.

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