A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft at B through a torque of TB 250 N-m. A torque of T₁ = 75 N-mis removed from the shaft at A, and a torque of Tc = 175 N-mis removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C relative to pulley A. TA J₁ = (1) J₂ = L IN TB i B Calculate the polar moments of inertia, J₁ and J₂, in segments (1) and (2), respectively. L₂ Tc X mm4 mm4

A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft at B through a torque of TB 250 N-m. A torque of T₁ = 75 N-mis removed from the shaft at A, and a torque of Tc = 175 N-mis removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C relative to pulley A. TA J₁ = (1) J₂ = L IN TB i B Calculate the polar moments of inertia, J₁ and J₂, in segments (1) and (2), respectively. L₂ Tc X mm4 mm4

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

A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft
at B through a torque of TB = 250 N-m. A torque of T₁ = 75 N-m is removed from the shaft at A, and a torque of Tc = 175 N-mis
removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of
phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁= 24 mm and a length of
L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C
relative to pulley A.
ΤΑ
J₁ =
J₂ =
(1)
=
L₁
Mi
Calculate the polar moments of inertia, J₁ and J₂, in segments (1) and (2), respectively.
MI
TB
i
B
12₂
Tc
X
mm4
mm4

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Step 1: Determine the given variables:

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Step 2: Determine the internal torques in segments (1) and (2):

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Step 3: Calculate the polar moments of inertia in segments (1) and (2):

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Step 4: Determine the rotation angle of pulley C relative to pulley A:

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