The axle of a heavy duty tractor 120 K W at 600 rpm it acts as a cantilever supporting a load of 280 N located 60 cm from the fixed end. The allowable normal stress Is 137 MPa and the allowable shear stress is 62 MPa. If the axial load is negligible, find the axle diameter. A:52 mm B:50 mm C:56 mm D:54 mm
1
Expert's answer
2020-01-12T10:19:27-0500
Normal stress is given by
σ=IMr,
where M=Fx=280N⋅60cm=168Nm− the maximum bending moment,
r=2d− the radius of the axle,
I=64πd4− the moment of inertia.
Substitute
σ=2⋅64πd4Md=πd332M,
d=3πσ32M=3137⋅106π32⋅168=0.0232m=23.2mm.
Shear stress is given by
τ=JTr,
where T=2πnP=2π⋅60600120⋅103=1909.86Nm− torque,
The expert did excellent work as usual and was extremely helpful for me.
"Assignmentexpert.com" has experienced experts and professional in the market. Thanks.
Comments