In the double-reduction gear train shown (dimensions are in inches), shaft a is driven by a motor attached by a flexible coupling attachedto the overhang. The motor provides a torque of 2500 lbf-in at a speed of 1200 rpm. The gears have 20° pressure angles, with diametersshown in the figure. Use an AISI 1020 cold-drawn steel. DesignShaft CD with a design factor of 1.5 by performing thefollowing tasks.(a) Sketch a general shaft layout, including means to locatethe gears and bearings, and to transmit the torque.(b) Perform a force analysis to find the bearing reactionforces, and generate shear and bending moment diagrams.(c) Determine potential critical locations for stress design.(d) Determine critical diameters of the shaft based on fatigueand static stresses at the critical locations.(e) Make any other dimensional decisions necessary tospecify all diameters and axial dimensions. Sketch theshaft to scale, showing all proposed dimensions.(f) If any of the deflections exceed the recommended limits,make appropriate changes to bring them all within thelimits.2420ENba

Answered: In the double-reduction gear train…

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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A pair of straight-tooth bevel gears (as shown in the figure above) are in mesh transmitting 35 hp at 1000 rpm (pinion speed). The gear rotates at 400 rpm. The gear system has a pitch of 6 and a 20-degree pressure angle. The face width is 2 inches and the pinion has 36 teeth. Determine the tangential, radial, and axial forces acting on the pinion
1. The figure shows a pair of shaft-mounted spur gears having a diametrical pitch of 6 teeth/in with a 14 tooth pinion (gear 2) driving a 49 tooth gear at a pressure angle of 20°. The power input is 3/4 hp at 2400 rpm cw. A, B, C, and D are bearings. 3. 3 in 3 in Determine the following: a. The Free Body Diagram for both gears. b. The pitch diameters of gears 2 and 3. c. The transmitted load. d. The torque Tin on the pinion shaft. e. The radial and tangential forces on gear 3 f. The output torque of gear 3 shaft.
4. A pair of spur gears with a centre distance of 495 mm is used for a speed reduction of 4.5:1. The module is 6 mm. Calculate the number of teeth on the pinion and the gear.
The top half of a compound Epicyclic gearset is shown in Figure, with input shaft I rotating at a constant speed of 700 rpm in a clockwise direction and generating 12 kW input power. The Annulus wheel A2 isform a compound wheel with gear O and connected to an auxiliary gear N on shaft X. . The Annulus A1 rotates in a counter-clockwise direction at a speed of 5,300 rpm. Calculate the following using this condition: The speed and direction of output shaft O (NO), shaft X (NX) and gear ratio (n). If Annulus wheel A1 is locked calculate the speed and direction of output shaft O (NO), shaft X (NX) and gear ratio (n). The braking torque (Tb) (magnitude and direction) that must be applied to Annulus wheel A1 to hold it stationary, assuming gear transmission efficiency is 90%. Number of gear teeth:P1 = 30 , A1 = 120P2 = 50 , A2 = 140N = 60 , O = 120
Task 3 The figure shows a pair of shaft-mounted spur gears having an 18-tooth pinion driving a 45- tooth gear. The power input is 32-hp at 1800 rev/min. Find the torque on each gear. Find also the power output. 3 in' 3 in
QI Two spur gears in a simple train shown in Figure Ql are having the same module, m = 2 and their respective number of teeth is NTa = 30 for the driver gear, and Nya = 45 for the driven gear. The inertia of the gear attached to the motor is L = 0.Dkgm² and the inertia of the second gear is la = 0.8kgm?. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms. Given the gear transmission efficiency is 90%. (a) Based on the module and number of teeth given, examine the pitch diameter of cach gear. (b) Considering acceleration of load at 2 ms-, evaluate the torque of the motor to overcome gears inertia. (c) Considering the 2 kg load, examine the torque required to accelerate the load through gear system. (d) Suggest the minimum torque of the motor to accelerate the 2 kg load at 2 ms. NTG = 45 r=30 mm NTm = 30 IG driver a = 2 ms² 2 kg
A gearset consists of a 16-tooth pinion driving a 40-tooth gear. The diametral pitch is 2, and the addendum and dedendum are 1/P and 1.25/P, respectively. The gears are cut using a pressure angle of 20°. (a) Compute the circular pitch, the center distance, and the radii of the base circles. (b) In mounting these gears, the center distance was incorrectly made in larger. Compute the new values of the pressure angle and the pitch-circle diameters.
PROBLEM A pair of straight bevel gears drives the vertical drilling machine. The approximate speed reduction is 4:1 with the pinion mounted on the horizontal drive shaft. The drill develops a torque of 495 N-m at 550 rpm. Assume the tooth form to be 20° stub, 24 teeth in the pinion and module of 4. The pinion and gear are made of steel (EP=EG= 215GPA) and have a surface hardness of 250 B.H.N. The tooth form factor of the teeth is 14 ½ and take form factor as y' = 0.335. a)Determine the cone distance b)Determine the face width assuming % of the cone distance c)Determine the formative number of teeth on the pinion d)Determine the tangential force e)Determine the determine permissible tooth load (AGMA Standards) f)Determine the maximum limiting load for wear g)Determine the endurance strength for the teeth
A pair of iron cast gears connecting two shafts at the Angle of the elbow. The diameter of the pinion pitch and the gear is 80 mm and 100 mm. The shape of the gear gear was 14 restriction form. The static voltage allowed for both gear is 55 mpa. If the door transports to 2.95 kw power at the turn of 1200 RPM, identify the module and the number of teeth on each gear from the Angle of power and check the design from the Angle of the tear. Take the surface durability limit is 630 mpa and the modulus elasticity to iron cast is 84 kn /mm2.
A pair of gears with 14.5° full-depth teeth are to transmit 5 hp at 1800 rpm of the pinion; mw= 2.5; Np = 20 teeth; carefully cut teeth; intermittent service; Kf= 1.45. A. Determine the diametral pitch, B. face width, C. and tooth numbers if the pinionis to be made of phosphor gear bronze (SAE 65, Table AT 3
Solve this problem in spur gearsA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20° pressureangle and a diametral pitch of 32. Determine the base pitch and the contact ratio. Also,calculate theaddendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. Ifthe center distance isincreased by 0.125 in., what are the new valuesfor thecontact ratio and thepressureangle with complete solution and write in hand writing thank you
2. A pair of bevel gears have their shafts at right angles. The larger gear has 50 teeth of 4 diametral pitch and is made of SAE 1045 steel. The pinion has 20 teeth and runs at 850 rpm and transmit 30 hp. Determine: A. the gear diameter B. the pinion diameter C. the length of contact D. the pitch line velocity of the pinion E. the tangential force Ans. 12.5 in Ans. 5 in Ans. 6.73 in Ans. 1,112 fpm Ans. 890 lbs

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