2- A compound shaft consists of two segments. Segment (1) is a tube with a length of L₁ = 500 mm, an outside diameter of D₁ = 30 mm, and a wall thickness of t₁ = 3 mm and segment (2) is a solid shaft with a length of L₂ = 800 mm and a diameter of d₂ = 20 mm. For the material properties of each segment please follow the table 2 Table 2 Surname starting (A-M) Surname starting (N-Z) G₁ = 26 GPa G₁ = 45 GPa N If an external torque of TB = 300 N.m acts at pulley B in the direction shown, (i) calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. (ii) Discuss what would happen if you replace the tube with a solid shaft of the same material and the diameter equal to the outer diameter of tube. TB Shear Modulus Tc (2) (1) G₂ = 45 GPa G₂ = 26 GPa 4₂ 4₁

2- A compound shaft consists of two segments. Segment (1) is a tube with a length of L₁ = 500 mm, an outside diameter of D₁ = 30 mm, and a wall thickness of t₁ = 3 mm and segment (2) is a solid shaft with a length of L₂ = 800 mm and a diameter of d₂ = 20 mm. For the material properties of each segment please follow the table 2 Table 2 Surname starting (A-M) Surname starting (N-Z) G₁ = 26 GPa G₁ = 45 GPa N If an external torque of TB = 300 N.m acts at pulley B in the direction shown, (i) calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. (ii) Discuss what would happen if you replace the tube with a solid shaft of the same material and the diameter equal to the outer diameter of tube. TB Shear Modulus Tc (2) (1) G₂ = 45 GPa G₂ = 26 GPa 4₂ 4₁

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

2- A compound shaft consists of two segments. Segment (1) is a tube with a length of L₁ =
500 mm, an outside diameter of D₁ = 30 mm, and a wall thickness of t₁ = 3 mm and segment
(2) is a solid shaft with a length of L₂ = 800 mm and a diameter of d₂ = 20 mm. For the
material properties of each segment please follow the table 2
Table 2
Surname starting (A-M)
Surname starting (N-Z)
G₁ = 26 GPa
G₁ = 45 GPa
N
If an external torque of TB = 300 N. m acts at pulley B in the direction shown,
(i) calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A
is zero.
Shear Modulus
(ii) Discuss what would happen if you replace the tube with a solid shaft of the same material
and the diameter equal to the outer diameter of tube.
Tc
(2)
(1)
G₂ = 45 GPa
G₂ = 26 GPa
L₂
4₁

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