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10 Dec 2021
Question 1 (10 points): Figure 1 shows the dimensions of the thin-walled hollow rectangular cross-section of an extrusion mädē from-alumnınum alloy. A counter-clockwise torque T is applied to this thin-walled cross-section. The allowable shear stress of the aluminum alloy is 130 MPa. The shear modulus of the aluminum alloy is G = 205 GPa.
(i). Calculate the maximum value of the torque L that can be applied to the thin-walled cross-section (5 points);
(ii). Calculate the torsional stiffness of the extrusion if its length L equals to 500mm (5 points).
Question 1 (10 points): Figure 1 shows the dimensions of the thin-walled hollow rectangular cross-section of an extrusion mädē from-alumnınum alloy. A counter-clockwise torque T is applied to this thin-walled cross-section. The allowable shear stress of the aluminum alloy is 130 MPa. The shear modulus of the aluminum alloy is G = 205 GPa.
(i). Calculate the maximum value of the torque L that can be applied to the thin-walled cross-section (5 points);
(ii). Calculate the torsional stiffness of the extrusion if its length L equals to 500mm (5 points).