A helical cast steel gear with 30° helix angle has to transmit 35 kW at 2000 r.p.m. If the gear has 25 teeth, find the necessary module, pitch diameters and face width for 20° full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times the normal

A helical cast steel gear with 30° helix angle has to transmit 35 kW at 2000 r.p.m. If the gear has 25 teeth, find the necessary module, pitch diameters and face width for 20° full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times the normal

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A single stage spur gear gearbox has a module of 1.5mm and an input speed of 1500.p.m. and a pinion with 15 teeth. The overall ratio of the gearbox is 6:1 and the gearbox is transmitting a power of 6000W. If the factor of safetv is to be reduced to an absolute minimum acceptable value and the gears are to be made from a material with a Yield stress of 540 MPa, what is the face width of the gears (in mm) Express your answer in the form 21.00 ie with two decimal place an no units
A straight gear with module m = 5 mm and face width bw = 40 mm has center distance cd = 0.1875m. The pinion has 25 teeth, the speed is 1000 rpm, and pressure angle ᶲ = 200. Find the Hertzian contact stress at the pitch point when the gear transmits 10 kW. Neglect friction forces. The gear steel has modulus of elasticity E = 207 GPa and a Poisson’s ratio of 0.30.
A short stub shaft, made of SAE 1035, as rolled, receivers 30 hp at 300 rpm via a 12-in. spur gear, the power being delivered to another shaft through a flexible coupling. The gear is keyed (profile keyway) midway between the bearings. The pressure angle of the gear teeth   20o, N = 1.5 based on the octahedral shear stress theory with varying stresses. (a) Neglecting the radial component R of the tooth load W , determine the shaft diameter. (b) Considering both the tangential and the radial components, compute the shaft diameters. (c) Is the difference in the results of the parts (a) and (b) enough to change your choice of the shaft size?
A pair of straight teeth spur gear is to transmit 20kw when the pinion at 300rpm.the velocity ratio is 1:3.the allowable static stresses for the pinion and the gear material are 12MPa and 100MPa respectively.the service factor is 1.the pinion has 15 teeth and it's face width is 14 times the module.from the standpoint of strength only and taking into consideration the effect of the dynamic loading Determine; (A) module (B) face width (C) pitch circle diameter for pinion (D) pitch circle diameter for gear Tooth form factor;y=0.153_0.912÷no.of teeth Velocity factor;Cv= 3÷3+v
A pair of 20º full depth involute teeth bevel gears connect two shafts at right angles having velocity ratio 3 : 1. The gear is made of cast iron having allowable static stress as 70 MPa and the 20teeth pinion is of steel with allowable static stress as 100 MPa and 200BHN. The pinion works at 750 r.p.m. Determine the maximum power can be transmitted by the gears if the module is 10mm. Kf=1.4
Bearing stress 5. Please provide proper discussion and illustration also complete solution and clear solution please thank you A solid shaft is designed to transmit 50kN @ 1800 rpm to a gear by means of 156 mm long key with square cross-section. The shaft diameter is 35.6mm. What should the cross-section be in mm2 to resist shearing, if the allowable shear stress on the key is 20 MPa?
A 15 kW and 1200 motor drives a compressor at 300 a pair of spur gears having . The center-to-center distance between the shafts is 400 . The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa . Assuming that the drive operates 8 to 10 hours per day under light conditions , find from the standpoint of strength Module , 2. Fare and 3. Number of teeth and pitch circle diameter of each gear 2. Check the gears thus designed from the consideration of Static tooth load or endurance strength of the tooth flexural endurance limil (sigma_{\epsilon}) may be taken as 400 MPa 3. Check the gears thus designed from the consideration of wear surface endurance limit ( sigma epsilon x ) may be taken 700 MPa b ^ pi ( 6.154 - 0512/pi; F_{N}
A 35 kW motor running at 1200 rpm drives a compressor at 780 rpm. The arrangement is made through a 90° bevel gearing arrangement. The pressure angle of teeth is 14.5°. The allowable static stress for both pinion and gear are 85 MPa. Determine the number of teeth on the gear, face width, addendum, dedendum, outside diameter and slant height, thickness of tooth. Also check your design from the standpoint of wear. Take surface endurance limit as 690 MPa and modulus of elasticity as 89 kN/mm2.
A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MPa
A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MP
campute the bending stress number for the goer pair described by the given data beLow. KS= 1, Km= 1,21, F= 2.00 in, DP= 3,33 in, NG= 70, Np=20 hp = 1750v. p.m, Av=11, Pd =6, Tp= 900ib V1= 1527 ft/min The matarial used for pinion a gear is cast iron
A three-thread worm gear, rotating at 1000 rpm, drives a 31-tooth worm gear and transmit 15 HP. Theworm has 14 ½ o teeth with ¾ pitch, 2 in pitch diameter, and an included face angle of 60o. The coefficientof friction is 0.05. (Assume Y = 0.322) A. Determine the helix angle of the worm. Ans. 70.30o B. Determine the speed ratio. Ans. 10.33C. Determine the center distance. Ans. 4.70 inD. Determine the apparent stress in the worm wheel teeth. Ans. 31,100 psiE. Determine the efficiency of this worm-gear set. Ans. 85.70%