Dr. Ali Al-Gadhib 1)To find the relationship between torque and the amount of power delivered to...

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Dr. Ali Al-Gadhib

1) To find the relationship between torque and the amount of power delivered to rotate a shaft.

2) To design a shaft to carry a given power and/or torque.

Dr. Ali Al-Gadhib

Power is rate of doing work

xFvPdt

dxF

xFdt

ddt

dWP

FPdt

dT

Tdt

ddt

dWP

T = the applied torque (N-m)

= angular velocity (rad/s)

= angle of rotation but not angle of twist (rad)

P = power wattors

mN

P = 2fT

f in Hz or (1 cycle/s)

Dr. Ali Al-Gadhib

Shaft Design

all

all

J

TC

max Given: (T or P and all or alt)

Find: d of the shaft.

Example:Example:

Dr. Ali Al-Gadhib

Solution:

Dr. Ali Al-Gadhib

Example:Example:

Solution:Solution:

Dr. Ali Al-Gadhib

L

P P

L

T T

L

xxx

x

ii

ii

dAE

N

AE

LNEA

NL

0)()(

)(

L

xxx

x

ii

ii

dJG

T

JG

LTGJ

TL

0)()(

)(

Dr. Ali Al-Gadhib

A B

GJ

LT ABAB

BA

+ +

TT

+T+ ++T

--T

-T-

Dr. Ali Al-Gadhib

Example:Example:

Dr. Ali Al-Gadhib

Solution:Solution:

Dr. Ali Al-Gadhib

Angle of Twist:Angle of Twist:

Dr. Ali Al-Gadhib

Example:Example:

Dr. Ali Al-Gadhib

Internal Torque:Internal Torque:

Dr. Ali Al-Gadhib

Solution:Solution:

Dr. Ali Al-Gadhib

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