8.8 (A/B). Opposing axial torques are applied at the ends of a straight bar ABCD. Each of the parts AB, BC and CD is 500 mm long and has a hollow circular cross-section, the inside and outside diameters being, respectively, AB 25 mm and 60 mm, BC 25 mm and 70mm, CD 40 mm and 70 mm. The modulus of rigidity of the material is 80 GN/m³ throughout. Calculate: (a) the maximum torque which can be applied if the maximum shear stress is not to exceed 75 MN/m²; (b) the maximum torque if the twist of D relative to 4 is not to exceed 2. [E.I.E.] [3.085 kN m, 3.25 kNm.]

8.8 (A/B). Opposing axial torques are applied at the ends of a straight bar ABCD. Each of the parts AB, BC and CD is 500 mm long and has a hollow circular cross-section, the inside and outside diameters being, respectively, AB 25 mm and 60 mm, BC 25 mm and 70mm, CD 40 mm and 70 mm. The modulus of rigidity of the material is 80 GN/m³ throughout. Calculate: (a) the maximum torque which can be applied if the maximum shear stress is not to exceed 75 MN/m²; (b) the maximum torque if the twist of D relative to 4 is not to exceed 2. [E.I.E.] [3.085 kN m, 3.25 kNm.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

8.8 (A/B). Opposing axial torques are applied at the ends of a straight bar ABCD. Each of the parts AB, BC and
CD is 500 mm long and has a hollow circular cross-section, the inside and outside diameters being, respectively, AB
25 mm and 60 mm, BC 25 mm and 70 mm, CD 40 mm and 70 mm. The modulus of rigidity of the material is
80 GN/m³ throughout. Calculate:
(a) the maximum torque which can be applied if the maximum shear stress is not to exceed 75 MN/m²;
(b) the maximum torque if the twist of D relative to A is not to exceed 2. [E.I.E.] [3.085 kNm, 3.25 kNm]

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