GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 19 of 65

Marks: +1, -0

A helical gear with

20^{∘}

pressure angle and

30^{∘}

helix angle mounted at the mid-span of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is

normal stress due to bending in two planes; shear stress due to torsion
normal stress due to bending in one plane and axial loading; shear stress due to torsion
normal stress due to bending only
normal stress due to bending in two planes and axial loading; shear stress due to torsion

Validate

Solution:

The normal force can be resolved into three components as shown in figure.
Due to

f_{a}=

axial force axial stress is Present in shaft
Due to

{f}_{ {T}}=

thrust force torsion will be present in shaft.
Due to for bending stress.
But due to fu also bending will be there but in different plane to that due to hence bending stress in two planes.

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