Mathematics
The figure shows a pair of straight mounted spur gears with one pitch 5-tooth /inch diametric, 18-tooth and pressure angle of 20° ,that drives a 45 tooth gear.The input power is 32 HP maximum at 1 800 rpm. Find the direction andmagnitude of the maximum forces acting on bearings A, B, C and D.
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The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with a...
The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth 20° pinion driving a 50-tooth gear. The horsepower input is 31 maximum at 1.600 rev/min. Find the magnitude of the maximum forces acting on bearings A,B, C, and D 3 in 3 in RA RB = lbf lbf lbf lbf RD =
The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth...
Output input 2. The gearbox in the diagram for problem 1 receives an input power of 10 kW, at a s...
output input 2. The gearbox in the diagram for problem 1 receives an input power of 10 kW, at a speed of 40. The gears are spur gears (ignore the helix angle on the teeth in the figure), have a module of 5 mm/tooth, and the pressure angle is 20. Assume all shafts lie in the same plane. Assume the gearbox is reasonably efficient, so losses can be neglected for this analysis. (a) Determine the minimum inside dimension of the...
1. A 15-tooth spur pinion has a diametrical pitch of 5 and 20° pressure angle, rotates...
1. A 15-tooth spur pinion has a diametrical pitch of 5 and 20° pressure angle, rotates at 600 rev/min, and drives a 60-tooth gear. The drive transmits 25 hp. Construct a free-body diagram of each gear showing upon it the tangential and radial components of the forces and their proper directions.
(20 points) Problem 2: A sheave with a 7.90 inch pitch diameter delivers 8 hp to...
(20 points) Problem 2: A sheave with a 7.90 inch pitch diameter delivers 8 hp to the shaft at location D. The sheave at location A has a 12.40 inch pitch diameter and delivers that power to its mating sheave. The shaft rotates at 1200 rpm. a. Determine the magnitude of the torque at all points of the shaft and draw the torque distribution diagram. Determine the magnitude and direction of the forces acting on the shaft at the power...
Figure Q1 shows a gear train consists of four spur gears A, B, C and D to be designed for a specific mechanism. The power transmitted by gear A is 5 kW at rotational speed of 720 rpm counterclockwise direction. Number of teeth (N) for gears A,B,C and D ar
Figure Q1 shows a gear train consists of four spur gears A, B, C and D to be designed for a specific
mechanism. The power transmitted by gear A is 5 kW at rotational speed of 720 rpm
counterclockwise direction. Number of teeth (N) for gears A,B,C and D are respectively 20, 50,
30 and 60. The module and pressure angle of the gears are respectively 4 mm and 20o
. Determine
followings:
(a) Tangential and radial forces between gears...
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth...
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth gear. The gears both have a diametral pitch of 6 TPI a) What is the pitch-line velocity, V, in ft/min? b) What is the force transmitted, W, between the gears, in Ib? e) What is the torque, T, on the pinion, in in- Ibe d) What is the pinion speed, ap, in radians per second? e) What is the gear speed, ng, in rpm...
11. What is the maximum possible power transmission (in hp) for a spur gear with diameteral...
11. What is the maximum possible power transmission (in hp) for a spur gear with diameteral pitch of 10 teeth/in, 20 full-depth teeth, a 1.5 inch face, a pressure angle of 20°, and a speed of 1600 rpm. Use a design factor of 3. Sut = 55 kpsi and Sy = 30 kpsi. (10 pts)
02 An 18-tooth pinion rotates at 1420 rpm and transmits 52kW of power to the gear train shown in Sketch e. The power...
02 An 18-tooth pinion rotates at 1420 rpm and transmits 52kW of power to the gear train shown in Sketch e. The power of the output shaft is 35% of the input power of the train. There is 3% power loss in every gear contact. The pressure angle for all the gears is 20_. Calculate the contact forces acting on each gear. All dimensions are in millimeters 18T In 0 85T 40T 312 450 86T 480 01 50T 35T
02...
A pair of straight bevel gears are mounted on shafts that are 90 degrees apart, and pinion transmits 10 hp at 300 rpm. The pinion has 6" outside pitch diameter, 2" face width, 20 teeth and Φ =...
A pair of straight bevel gears are mounted on shafts that are 90 degrees apart, and pinion transmits 10 hp at 300 rpm. The pinion has 6" outside pitch diameter, 2" face width, 20 teeth and Φ = 20˚. For a velocity ratio of 0.5, draw a free body diagram of gears showing all forces. What is torque produced about gear axis? The average pinion pitch diameter is 5.104"
The figure shows a 16-tooth, 32 pitch straight bevel pinion driving a 24-tooth, 32 pitch gear....
The figure shows a 16-tooth, 32 pitch straight bevel pinion
driving a 24-tooth, 32 pitch gear. Both (pinion and gear) have a
pitch diameter of 0.75 inch and a radius of 0.40 inch. The pinion
is conected to a 1,621 rpm Gear Motor (motor torque= 97.2 oz-in).
The 303 stainless steel gear shaft has a diameter of 0.25 inch, a
length of 3 inch, and rotates about its axis-y at 1080 rpm (113
rad/sec). The wheel mounted on the gear...
The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth 20° pinion driving a 50-tooth gear. The horsepower input is 31 maximum at 1.600 rev/min. Find the magnitude of the maximum forces acting on bearings A,B, C, and D 3 in 3 in RA RB = lbf lbf lbf lbf RD =
The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth...
output input 2. The gearbox in the diagram for problem 1 receives an input power of 10 kW, at a speed of 40. The gears are spur gears (ignore the helix angle on the teeth in the figure), have a module of 5 mm/tooth, and the pressure angle is 20. Assume all shafts lie in the same plane. Assume the gearbox is reasonably efficient, so losses can be neglected for this analysis. (a) Determine the minimum inside dimension of the...
1. A 15-tooth spur pinion has a diametrical pitch of 5 and 20° pressure angle, rotates at 600 rev/min, and drives a 60-tooth gear. The drive transmits 25 hp. Construct a free-body diagram of each gear showing upon it the tangential and radial components of the forces and their proper directions.
(20 points) Problem 2: A sheave with a 7.90 inch pitch diameter delivers 8 hp to the shaft at location D. The sheave at location A has a 12.40 inch pitch diameter and delivers that power to its mating sheave. The shaft rotates at 1200 rpm. a. Determine the magnitude of the torque at all points of the shaft and draw the torque distribution diagram. Determine the magnitude and direction of the forces acting on the shaft at the power...
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth gear. The gears both have a diametral pitch of 6 TPI a) What is the pitch-line velocity, V, in ft/min? b) What is the force transmitted, W, between the gears, in Ib? e) What is the torque, T, on the pinion, in in- Ibe d) What is the pinion speed, ap, in radians per second? e) What is the gear speed, ng, in rpm...
11. What is the maximum possible power transmission (in hp) for a spur gear with diameteral pitch of 10 teeth/in, 20 full-depth teeth, a 1.5 inch face, a pressure angle of 20°, and a speed of 1600 rpm. Use a design factor of 3. Sut = 55 kpsi and Sy = 30 kpsi. (10 pts)
02 An 18-tooth pinion rotates at 1420 rpm and transmits 52kW of power to the gear train shown in Sketch e. The power of the output shaft is 35% of the input power of the train. There is 3% power loss in every gear contact. The pressure angle for all the gears is 20_. Calculate the contact forces acting on each gear. All dimensions are in millimeters 18T In 0 85T 40T 312 450 86T 480 01 50T 35T
02...
The figure shows a 16-tooth, 32 pitch straight bevel pinion
driving a 24-tooth, 32 pitch gear. Both (pinion and gear) have a
pitch diameter of 0.75 inch and a radius of 0.40 inch. The pinion
is conected to a 1,621 rpm Gear Motor (motor torque= 97.2 oz-in).
The 303 stainless steel gear shaft has a diameter of 0.25 inch, a
length of 3 inch, and rotates about its axis-y at 1080 rpm (113
rad/sec). The wheel mounted on the gear...
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