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Unformatted text preview: s ξ s η s a 2a 3 2 12 1 12 2 th dth I xx + = Problem 3: A uniform, thin-walled, cantilever beam of closed rectangular cross-section has the dimensions shown below. The shear modulus G at the top and bottom covers of the beam is 18 000 N/mm 2 while that of the vertical webs is 26 000 N/mm 2 . The beam is subjected to a uniformly distributed torque of 20 Nm/mm along its length. Calculate the maximum shear stress according to the Bredt-Batho theory of torsion (distribution of twist). Calculate also, and sketch, the distribution of twist along the length of the cantilever assuming that the axial constraint effects are negligible. Problem 4: Determine the maximum shear stress in the beam section shown stating clearly the point at which it occurs. Determine also the rate of twist of the beam section if the shear modulus is 25 000 N/mm 2 ....
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This note was uploaded on 10/28/2009 for the course AERSP 301 at Penn State.