Question

a) An internal combustion engine of 100 horsepower (hp)
transmits power to the car wheels of an automobile at 600 rev/min
(rpm). Neglecting any transmission losses, determine the minimum
permissible diameter of the solid circular section steel shaft if
the maximum shear stress in the shaft is limited to 75MPa. What
will be the resulting angle of twist of the shaft, due to the
applied torque, over a length of 1 m? Given that the rigidity
modulus, G = 50 GPa. (Note that 1 hp = 745.7 W).

b) If the shaft in 4a was replaced by a hollow tube of the same
external diameter, but of wall thickness 0.01 m, what would be the
maximum shear stress in the shaft due to the same applied torque,
and the resulting twist of the shaft? The material properties of
the shaft may be assumed to be the same as that above.

Answer #1

3. A 2014 T-4 aluminum hollow drive shaft has an outside
diameter of 3 in, an inside diameter of 2.9 in, and a length of
10.0 ft. It transmits a power of 120 hp at 300 rpm. Find the
following (include units with your answers):
a) the maximum torsional shear stress in the shaft
(ksi)=
b) the angle of twist (deg)=

The drive shaft AB of an automobile with 1.7 m
long is made of a steel having an allowable shear stress
τall = 60 MPa and
modulus of rigidity G = 80 GPa. Limit angle of
twist of the shaft is 0.035 rad. If the outer
diameter of the shaft is 65 mm and the engine
delivers 180 kW to the shaft when it is turning at
1170 rev/min, determine the minimum required
thickness of the shaft’s wall.

5. A solid steel shaft has a diameter of 200mm. The shaft
transmits 550kW at 300r/min. It is also subjected to a bending
moment of 10kNm and an end thrust of 400kN. Find:
5.1 The applied torque
5.2 The applied shear stress
5.3 The applied bending stress
5.4 The stress due to the end thrust
Draw a stress element and matching Mohr’s circle clearly showing
Both principle stresses and the maximum shear stress at:
5.5 the top of the shaft’s...

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