6. The 160 mm diameter steel (G = 80 GPa) shaft ABCD shown in Figure Q6 has a 100 mm diameter bronze (G = 40 GPa) core inserted in 3 m of the right end, BCD and securely bonded to the steel. Determine: a) the maximum shearing stress in each of the materials, b) the angle of twist of the free end, D of the shaft. Steel 200 kNm 2 m 120kNm B. 1.5 m 1.5 m Bronze D Figure Q6 [Ans: a) Tmax,st = 162 MPa (at section BC), tmax,br = 51 MPa (at section BC); b) -0.00684 radl

6. The 160 mm diameter steel (G = 80 GPa) shaft ABCD shown in Figure Q6 has a 100 mm diameter bronze (G = 40 GPa) core inserted in 3 m of the right end, BCD and securely bonded to the steel. Determine: a) the maximum shearing stress in each of the materials, b) the angle of twist of the free end, D of the shaft. Steel 200 kNm 2 m 120kNm B. 1.5 m 1.5 m Bronze D Figure Q6 [Ans: a) Tmax,st = 162 MPa (at section BC), tmax,br = 51 MPa (at section BC); b) -0.00684 radl

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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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

6. The 160 mm diameter steel (G = 80 GPa) shaft ABCD shown in Figure Q6 has a 100 mm
diameter bronze (G = 40 GPa) core inserted in 3 m of the right end, BCD and securely
bonded to the steel. Determine:
a) the maximum shearing stress in each of the materials,
b) the angle of twist of the free end, D of the shaft.
Steel
200 kNm
2 m
120kNm
1.5 m
1.5 m
Bronze
D
Figure Q6
[Ans: a) tmax,st = 162 MPa (at section BC), tmax, br = 51 MPa (at section BC); b) -0.00684
rad]

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