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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
