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The figure shows a thin-walled C-shaped channel section loaded by a downward force P with line of action coinciding with the web of the channel section. The overall dimensions of the cross-section are given in terms of a as shown in the figure and the wall thickness is t = a/10 for the web and 2t for the flanges. The shear center A of the cross-section is located on the line of symmetry at distance e =

2271_f07e9f1b-77b4-4b1a-9b57-fb648515d150.pnga behind the web.

a) Determine magnitude and direction of the shear force and the torsion moment acting on the cross-section.

b) Determine the shear stress distribution from the shear force.

c) Determine the shear stress distribution from the torsion moment.

d) Determine the resulting shear stress distribution by combining the results in b) and c), and find the maximum shear stress τmax.

1170_73572d6e-b147-43d5-8c14-f039bda412ee.png

 

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