Problem : A train of spur gears with 20°full-depth involute teeth is shown in the Figure below. Gear 1 is the driving gear and transmits 50 kW power at 300 rpm to the gear train. The number of teeth on gears 1, 2, 3 and 4 are 30, 60, 25 and 50 respectively, while the module for all gears is 8 mm. Gears 2 and 3 are mounted on the same shaft. Gear 1 is rotating in the clockwise direction when seen from the left side of the page. The shaft is made of plain carbon steel 40C8 (Syt = 380 N/mm2) and the factor of safety is 2. Using maximum shear stress theory, estimate suitable diameter of shaft. 150 500 125 3 B2 2)

Problem : A train of spur gears with 20°full-depth involute teeth is shown in the Figure below. Gear 1 is the driving gear and transmits 50 kW power at 300 rpm to the gear train. The number of teeth on gears 1, 2, 3 and 4 are 30, 60, 25 and 50 respectively, while the module for all gears is 8 mm. Gears 2 and 3 are mounted on the same shaft. Gear 1 is rotating in the clockwise direction when seen from the left side of the page. The shaft is made of plain carbon steel 40C8 (Syt = 380 N/mm2) and the factor of safety is 2. Using maximum shear stress theory, estimate suitable diameter of shaft. 150 500 125 3 B2 2)

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 gear train is composed of four helical gears with the three shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20 and a 30 helix angle. Gear is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is an idler and the transmitted load from gear 2 to gear 3 is 500 Ibf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by gears 3 and 4 on shaft b
A gear train is composed of four helical gears with the tree shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20° and a 30°helix angle. Gear 2 is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is and idler and the transmitted load from gear 2 to gear 3 is 500 lbf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by gears 3 and 4 on shaft b.
The figure below shows the power transmitted through a gear drive to multiple output shafts. Gear A is mounted on an electric motor with a rotational speed of 600rpm. Gear A drives a simple gear train consisting in gears B, C, D, and E and transfers the input power to each gear to the shaft on which is mounted. The power delivered from shafts B, C, D, and E are: 8hp, 12hp, 5hp, and 5hp, respectively. For simplicity, all gears have a diametral pitch of 3 and the following numbers of teeth: NA=75, NB=15, NC=120, ND=15, NE=36. The torque on shaft D is most likely: 2015 lb in 105 lb in 250 lb in 630 lb in
The figure below shows the power transmitted through a gear drive to multiple output shafts. Gear A is mounted on an electric motor with a rotational speed of 600rpm. Gear A drives a simple gear train consisting in gears B, C, D, and E and transfers the input power to each gear to the shaft on which is mounted. The power delivered from shafts B, C, D, and E are: 8hp, 12hp, 5hp, and 5hp, respectively. For simplicity, all gears have a diametral pitch of 3 and the following numbers of teeth: NA=75, NB=15, NC=120, ND=15, NE=36. The expected rotational speed on shaft E is most likely: 375 rpm 600 rpm 1250 rpm 3000 rpm
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
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
Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler (b) Find the torque T4c that gear 4 exerts on shaft c.
The upper 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 is coupled to an auxiliary gear N on shaft X and forms a compound wheel with gear O. The Annulus A1 rotates in a counter-clockwise direction at a speed of 5,300 rpm. Calculate the following using this condition: Number of gear teeth:P1 = 30 , A1 = 120P2 = 50 , A2 = 140N = 60 , O = 120 a) The output shaft O (NO), shaft X (NX), and gear ratio speed and direction (n). b) Calculate the speed and direction of output shaft O (NO), shaft X (NX), and gear ratio if Annulus wheel A1 is locked (n). c) The braking torque (Tb) that must be applied to Annulus wheel A1 to keep it stationary (magnitude and direction), assuming gear transmission efficiency of 90%.
A helical cast steel gear with 30o helix angle has to transmit 35 kW at 2000 rpm. If the gears has 25 teeth, find the necessary module, pitch diameters and face width for 20o 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 to normal pitch. The tooth form factor is given by the expression y'= 0.154-0.912/TE, where TE represents the equivalent number of teeth. the velocity factor is given by Cv=6/(6+v), where v is the peripheral speed of the gear in m/s.
The intermediate shaft of a two-stage gearbox is given in the figure. P = 4 kW power is transmitted at n = 150 rpm with the help of two helical gears on the shaft.The forces acting on the gears are given as Ft1 = 5092 N, Fr1 = 1972 N, Fa1 = 1853 N, Ft2 = 2546 N, Fr2 = 986 N, Fa2 = 926 N. Diameter of small helical gear d1 = 100 mm, largethe diameter of the gear is d2 = 200 mm. Shaft material yield strength 335 MPa, tensile strength 600 MPa, Kç = 1.95, ka = 0.895, kb = 0.90 and safety coefficient = 1.4now that
The small gear of an internal gear train shown in the figure is powered by a 500-kW motor at 30 Hz. Whereas this small gear has 10 teeth, the large gear it drives has 30. Hence the large gear rotates at 10 Hz. If the allowable shear stress is 60 MPa, what are required sizes of the shafts?
The shaft in the figure below is part of a drive for an automated transfer system in a metal stamping plant. Gear Q delivers 30 hp to gear B. Sheave D delivers the power to its mating sheave as shown. The shaft carrying B and D rotates at 550 rpm. Use SAE1040 cold drawn steel. Note: Torque on gear at B and the torque on sheave at D are equal. Gear Data: - NB= 96 (Number of teeth on gear B) - Pd= 6 (Diametral pitch for gear B) - Spur gears Gear pressure angle =20o - Shaft at B and D rotate at 550 rpm. Use the following assumptions: - Bearing seats have sharp fillets. Kt=2.5 - Design factor (Factor of Safety) = 3 - Pinion Q is rotating in CCW direction. - Cs= Size factor = 0.80 a) Determine the magnitude of the torque in the shaft at all points b) Compute the forces acting on the shaft at all power-transmitting elements c) Compute the reactions at the bearings