6.A two stage reduction drive is to be designed to transmit 2 kW; the input speed being 960 r.p.m. andoverall reduction ratio being 9. The drive consists of straight tooth spur gears only, the shafts beingspaced 200 mm apart, the input and output shafts being co-axial.

Answered: 6. A two stage reduction drive is to be…

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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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
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]
4. A single stage helical gear reducer is to receive power from a 1440 r.p.m., 25 kW induction motor. The gear tooth profile is involute full depth with 20° normal pressure angle. The helix angle is 23°, number of teeth on pinion is 20 and the gear ratio is 3. Both the gears are made of steel with allowable beam stress of 90 MPa and hardness 250 B.H.N. (a) Design the gears for 20% overload carrying capacity from standpoint of bending strength and wear, (b) If the incremental dynamic load of 8 kN is estimated in tangential plane, what will be the safe power transmitted by the pair at the same speed?
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.
1. A pair of 20 degree full depth spur gears have module of 2.5 and to be mounted on shafts with center distance of 90mm and gear ratio of 3. Determine: a. If there is interference b. If the center distance was increased by 3mm, find the backlash produced c. length of action and contact ratio
i need correct explanation my best wishes ton
O It is required to design a pair of spur gears with 20° full-depth involute teeth. The input shaft rotates at 720 rpm and receives 5 kW power through a flexible coupling. The speed of the output shaft should be 144 rpm. The pinion as well as the gear are made of steel Fe 410 (S = 410 N/mm). The service factor.for the application is 1.25. The gears are machined to meet the specifications of Grade 6. ut [LO 6, 7] (i) Assume suitable number of teeth for the pinion and the gear. (ii) For preliminary calculations, assume the pitch line velocity as 5 m/s and the factor of safety as 2. Estimate the module and select the first preference value of the module. (iii) Using this value of the module, calculate the pitch circle diameters of the pinion and gear and the face width. (iv) Determine static load and the dynamic load by Buckingham's equation. Also calculate the beam strength and the correct value of factor of safety based on beam strength. (v) Using a factor of safety of 2 for wear…
2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 3, : 1. The pressure angle is 142. 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 142 pressure angle may be taken as 0.684 0.124 - y = No. of teeth
Helical Gears, Bevel Gears, and Wormgearing 2
Provide the complete step-by-step solution, given data, conversion of units, and sketch for this problem. A turbine at 30,000 rpm is used to drive a reduction gear delivering 3 hp at 3,000rpm. The gears are 20 degrees involute herringbone gears of 28 pitch and 2 1/8 ineffective width. The pinion has 20 teeth with a helix angle of 23 deg. Determine theload normal to the tooth surface. A. 20.4 lbs B. 24.4 lbs C. 28.4 lbs D. 32.4
9. Design a spur gear drive required to transmit 45 kW at a pinion speed of 800 r.p.m. The velocity ratio is 3.5 : 1. The teeth are 20° full-depth involute with 18 teeth on the pinion. Both the pinion and gear are made of steel with a maximum safe static stress of 180 MPa. Assume a safe stress of 40 MPa for the material of the shaft and key. 10. Design a pair of spur gears with stub teeth to transmit 55 kW from a 175 mm pinion running at 2500 r.p.m. to a gear running at 1500 r.p.m. Both the gears are made of steel having B.H.N. 260. Approximate the pitch by means of Lewis equation and then adjust the dimensions to keep within the limits set by the dynamic load and wear equation.
Machine Elements. Machine Design. CAREFUL : ANSWER İS MUST BE : (m= 6mm); (b=60mm); (Tp=24); (Tg=26); (Dp = 144mm); (Dg=576mm).

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6. A two stage reduction drive is to be designed to transmit 2 kW; the input speed being 960 r.p.m. and overall reduction ratio being 9. The drive consists of straight tooth spur gears only, the shafts being spaced 200 mm apart, the input and output shafts being co-axial.