QUESTION 1Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segmentBC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B,respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated inFigure Q1. Given G=75 GPa.(a)Determine the values of TA and Tâ if the corresponding angle of twist of end A is zero.(b)Calculate the maximum shear stress developed in the shaft and locate where it's occurred(c)Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is75 MPa.Ø0.4 mØ0.32 mSection r-r750 kN.mTBTAA0.6 m0.8 mFigure Q1

From the above figure : TB=TA+750...........................(1)

Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in Figure Q1. Given G=75 GPa. (a) Determine the values of TA and TB if the corresponding angle of twist of end A is zero. (b) Calculate the maximum shear stress developed in the shaft and locate where it's occurred (c) Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa.

Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in Figure Q1. Given G=75 GPa. (a) Determine the values of TA and TB if the corresponding angle of twist of end A is zero. (b) Calculate the maximum shear stress developed in the shaft and locate where it's occurred (c) Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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.

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