7. A motor shaft rotating at 1440 r.p.m. has to transmit 15 kW to a low speed shaft rotating at 500 r.p.m.The teeth are 20° involute with 25 teeth on the pinion. Both the pinion and gear are made of cast ironwith a maximum safe stress of 56 MPa. A safe stress of 35 MPa may be taken for the shaft on whichthe gear is mounted. Design and sketch the spur gear drive to suit the above conditions. The startingtorque may be assumed as 1,25 times the running torque.Ruins 20 LW at 100 nm to another shaft running approxi

Answered: 7. A motor shaft rotating at 1440…

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

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1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2° composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75 kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and modulus of elasticity for cast iron as 84 kN/mm². A0a& ENG 1222/20 nere to search
2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14½½ pressure angle may be taken 0.684 0.124 y = No. of teeth as [Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]
3. A pair of 20° full-depth involute tooth spur gears is to transmit 30 kW at a speed of 250 r.p.m. of the pinion. The velocity ratio is 1:4. The pinion is made of cast steel having an allowable static stress, o, = 100 MPa, while the gear is made of cast iron having allowable static stress, o,= 55 MPa. The pinion has 20 teeth and its face width is 12.5 times the module. Determine the module, face width and pitch diameters of both the pinion and gear from the standpoint of strength only taking velocity factor into consideration. The tooth form factor is given by the expression 0.912 0.154 – y = No. of teeth and velocity factor is given by 3 where v is the peripheral speed of the gear in m/s. 3+ v
A pair of 20° 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 is10mm. Kf=1.4 Note: L =Dg/(2sinag) *
1.A pair of helical gears are designed to transmit 15 kW. The teeth are 20° stub in diametral plane and have a helix angle of 45°. The pinion runs at 10 000 r.p.m. and has 80 mm pitch diameter. The gear has 320 mm pitch diameter. If the gears are made of cast steel having allowable static strength of 100 MPa; determine a suitable module and face width from static strength considerations and check the gears for wear, given Ous = 618 MPa.
In the double-reduction gear train shown (dimensions are in inches), shaft a is driven by a motor attached by a flexible coupling attached to the overhang. The motor provides a torque of 2500 lbf-in at a speed of 1200 rpm. The gears have 20° pressure angles, with diameters shown in the figure. Use an AISI 1020 cold-drawn steel. Design Shaft CD with a design factor of 1.5 by performing the following tasks. (a) Sketch a general shaft layout, including means to locate the gears and bearings, and to transmit the torque. (b) Perform a force analysis to find the bearing reaction forces, and generate shear and bending moment diagrams. (c) Determine potential critical locations for stress design. (d) Determine critical diameters of the shaft based on fatigue and static stresses at the critical locations. (e) Make any other dimensional decisions necessary to specify all diameters and axial dimensions. Sketch the shaft to scale, showing all proposed dimensions. (f) If any of the deflections…
A pair of cast iron bevel gears connects the two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm. The shape of the gear teeth is 14½0 composite form. The allowable static stress for both gears is 55 MPa. If the pinion transmits 2.95 kW of power at 1200 rpm, determine the module and the number of teeth in each gear from the power point of view and check the design from the wear point of view. Take the surface resistance limit is 630 MPa and the modulus of elasticity for cast iron is 84 kN/mm2.
2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 3, : 1. The pressure angle is 14% . It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14 pressure angle may be taken as 0.684 0.124 y = No. of teeth
5. 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. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
In a broaching machine shown, shaft A carries a pulley 60.96 cm in diameter which is driven by a leather flat belt from 12-inch pulley on the 30 Hp-squirrel-cage, compensator-motor shaft overhead, the latter turning 1200 rpm. Gears 2 & 4 have 12 teeth each, and 3 & 5 have 60 teeth each. Gear 5 is fast to 6, which has 10 teeth and a module of 8.465 mm/tooth and which engages with rack 7 to which is attached the broach. Assuming that there is no slipping between the pulleys and the belt. Determine: a) the speed with which the broach is drawn through the work, in m/s. b) Specify a double ply, medium weight, cemented joint leather flat belt, considering a mildly jerking loads and a center distance of 60 inches. c) Determine the belt tensions of the belt and the F, maximum stress in the straight part of F₁ ALBA belt if = 3 F₂ Gear 5 Gear 6 Gear 2 DEO CEC A HH₂ Rack 030-0=0 Gear 4 Gear 3
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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.

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