Concept explainers
A steel spur pinion has a pitch of 6 teeth/in, 22 full-depth teeth, and a 20° pressure angle. The pinion runs at a speed of 1200 rev/min and transmits 15 hp to a 60-tooth gear. If the face width is 2 in, estimate the bending stress.
The bending stress on teeth of gear.
Answer to Problem 1P
The bending stress on teeth of gear is
Explanation of Solution
Write the expression for pitch diameter of gear.
Here, the pitch diameter is
Write the expression for linear velocity of gear.
Here, the linear velocity is
Write the expression for dynamic factor of cut or milled gear profile.
Here, the dynamic factor is
Write the expression for transmitted load.
Here, the transmitted load in
Write the expression for bending stress.
Here, the bending stress in
Conclusion:
Substitute
Substitute
Substitute
Substitute
Refer to Table 14-2 “Values of the Lewis Form factor Y(These Values Are for a Normal Pressure Angle of
Substitute
Thus the bending stress on teeth of gear is
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Chapter 14 Solutions
SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE