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
Want to see more full solutions like this?
Chapter 14 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- A planetary gear used on the Mars rover uses a 25-tooth helical gear withψ = 20° has a 25° pressure angle in the plane of rotation (figure Q2a). Whatis the pressure angle in the normal plane, ϕn, and the equivalent number ofteeth, Ne? What pressure angle and number of teeth would a straight spurgear tooth of comparable bending strength have?arrow_forwardA spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20°. find the total force exerted by a tooth of the pinion on other gear?arrow_forward4. A 6 pitch bevel gear has diameter of 8” while its pinion diameter is 4” with tangential force of 200lb . If pitchlinevelocity is 600ft/min. Determine length of cone, face width, working depth, total depth,and dynamic load.arrow_forward
- An input shaft connected to the motor rotates at 1200 rpm, while the output speed must be 570 rpm. The contact force between the gears is transmitted through the pressure angle of 20°. The radial force is 321,90 kN. The material for both gear and pinion is 817M40.arrow_forwardThe parallel shafts are connected with two full depth spur gears, with a pinion module of 4 mm. The pressure angle is 25 degree. The number of teeth of the gear is 52. The angular speed ratio is desired as 2,6. Calculate the pitch line velocity (m/s) where the angular speed of the pinion is 2600 rev/min.arrow_forwardThe figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 Ibf • in from its shaft in the direction shown. Pinion 2 has a normal diametral pitch of 8 teeth/in, 14 teeth, and a normal pressure angle of 20° and is cut right-handed with a helix angle of 30°. The mating gear 3 on shaft b has 36 teeth. Gear 4, which is the driver for the second pair of gears in the train, has a normal diametral pitch of 3 teeth/in, 15 teeth, and a normal pressure angle of 20° and is cut left-handed with a helix angle of 15°. Mating gear S has 45 teeth. Find the magnitude and direction of the force exerted by the bearings C and D on shaft b if bearing C can take only a radial load while bearing D is mounted to take both radial and thrust loads.arrow_forward
- A similar pair of helical gears , also on parallel axes, are to have involute teeth, of 20o normal pressure angle, and 3 mm normal module. The wheels are to have 26 and 34 teeth, and to work with a centre distance of 146 mm. Calculate the transverse pressure angle in degrees.arrow_forwardA 220 mm diameter of 14.5 degrees involute gear is used to transmit 50 kW at 580 rpm Find the total force transmitted on the gear.arrow_forwardA simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o. The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate The magnitude of the velocity of slip of gears in mesh.arrow_forward
- For a pair of standard gears, the module is m=2.5mm,pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm. If the actual center distance is a’=69.75mm, find the working pressure angle α’=( )°arrow_forwardA spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20° Assuming that only one pair of the teeth is in contact the total force (in Newton) exerted by a tooth of the pinion on the tooth on a mating gear is...arrow_forwardA spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20°, what is the total force exerted by a tooth of the pinion on the tooth on a mating gear?arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY