4 The shaft ABCD shown in Figure Q4 is fixed on both ends. Two (2) external torques are applied at points B and C as shown. Given Gsteel = 75 GPa, Gatuminium = 27 GPa and Gpronze = 38 GPa. a) Determine the reactions at A and D. b) Determine the maximum shear stress in the shaft and in which section does it occur. 300 Nm 700 Nm |C D Steel Aluminium Bronze Ø = 25 mm Ø = 50 mm Ø = 25 mm 2 m 1.5 m 1 m Figure Q4 [Ans: a) TA = 485 N.m, TD = 515 N.m; b) tmax = 168 MPa]

4 The shaft ABCD shown in Figure Q4 is fixed on both ends. Two (2) external torques are applied at points B and C as shown. Given Gsteel = 75 GPa, Gatuminium = 27 GPa and Gpronze = 38 GPa. a) Determine the reactions at A and D. b) Determine the maximum shear stress in the shaft and in which section does it occur. 300 Nm 700 Nm |C D Steel Aluminium Bronze Ø = 25 mm Ø = 50 mm Ø = 25 mm 2 m 1.5 m 1 m Figure Q4 [Ans: a) TA = 485 N.m, TD = 515 N.m; b) tmax = 168 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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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

4 The shaft ABCD shown in Figure Q4 is fixed on both ends. Two (2) external torques
are applied at points B and C as shown.
Given Gsteel = 75 GPa, Gatuminium = 27 GPa and Gpronze = 38 GPa.
a) Determine the reactions at A and D.
b) Determine the maximum shear stress in the shaft and in which section does it
occur.
300 Nm
700 Nm
C D
Aluminium
Ø = 50 mm
Steel
Bronze
Ø = 25 mm
Ø = 25 mm|
2 m
1.5 m
1 m
Figure Q4
[Ans: a) TA = 485 N.m, Tp= 515 N.m; b) tmax = 168 MPa]

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