Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 17, Problem 9P
To determine
The maximum allowable force.
The maximum safe bending force.
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2. A machine shaft turning at 600 rpm is supported on bearings 20" apart. Twenty HP is supplied to the
shaft through a 20" pulley located 10" to the right of the right bearing. The power is transmitted from the
shaft through an 8" spur gear located at the middle of the two bearing. The pulley weighs 300 lb to
provide some flywheel effect. The forces acting on the pulley and the gear are given in the diagram. The
shaft material selected has an ultimate strength of 70,000 psi and a yield stress of 46,000 psi, determine:
Reactions at the bearings
b. Bending moment diagrams in the horizontal and vertical directions
а.
C.
The necessary diameter in accordance with the ASME Code using Kb =1.5 and Kt = 1.5.
%3D
Pulley
Mt
525 lb
Gear
191 lb
Mt
10"
10"
10"
Forces on Gear
348 lb
W=300 lb
116 lb
A synchronous belt drive system is used as a speed reducer. The input shaft rotates at 1000 rpm and has a 36-tooth sprocket with a pitch diameter of 3.609 in. The output shaft has a 72-tooth sprocket with a pitch diameter of 7.218 in. the center distance between the two shafts is 15.01 in. Determine the following for the belt drive:
d. The belt wrap on the input and output sprocketse. The belt perimeter lengthf. Draw the schematic of the belt drive system
A synchronous belt drive system is used as a speed reducer. The input shaft rotates at 1000 rpm and has a 36-tooth sprocket with a pitch diameter of 3.609 in. The output shaft has a 72- tooth sprocket with a pitch diameter of 7.218 in. the center distance between the two shafts is 15.01 in. Determine the following for the belt drive:
a. The belt wrap on the input and output sprocketsb. The belt perimeter lengthc. Draw the schematic of the belt drive system
Chapter 17 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 17 - Example 17-2 resulted in selection of a 10-in-wide...Ch. 17 - A 6-in-widc polyamide F-l flat belt is used to...Ch. 17 - Prob. 3PCh. 17 - A flat-belt drive is to consist of two...Ch. 17 - In solving problems and examining examples, you...Ch. 17 - Return to Ex. 17-1 and complete the following. (a)...Ch. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - Two shafts 20 ft apart, with axes in the same...
Ch. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - A designer has to select a metal-belt drive to...Ch. 17 - Prob. 14PCh. 17 - Prob. 15PCh. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Two B85 V belts are used in a drive composed of a...Ch. 17 - Prob. 19PCh. 17 - Prob. 20PCh. 17 - The geometric implications of a V-flat drive are...Ch. 17 - A 2-hp electric motor running at 1720 rev/min is...Ch. 17 - The standard roller-chain number indicates the...Ch. 17 - Prob. 24PCh. 17 - A double-strand no. 60 roller chain is used to...Ch. 17 - A four-strand no. 40 roller chain transmits power...Ch. 17 - Prob. 27PCh. 17 - Prob. 28PCh. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - For Prob. 17-29 estimate the elongation of the...
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- Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by a cross belt. The driving shaft is to turn 180 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the driver is 10 in. in diameter. Find (a) the diameters of all the steps, (b) angle of contact for each pair of pulleys, and (c) belt length.arrow_forward5. For the engine-transmission-propeller problem shown below, The engine generates a torque of 219lb-ft, and it is bolted to a frame at locations A and B. The transmission reverses the rotation direction. The transmission ratio is 1.5 (i.e. the propeller speed is -1/1.5 the engine speed, the minus sign indicates the change in direction). d. Sketch the free body diagram. Be sure to show the torques at the input and outputs to the different components. Note the change in the rotation direction between the engine and shaft. e. Solve for the reaction forces at the bolt supports of the engine, if the distance between them is 1 ft. Propeller Engine Reduction ratio 1.5 Engine is attached Barrow_forwardIn the figure below, a motor with power 150kw and speed of 2500 rpm is connected to shaft 1(by coupling) in a clockwise direction. Shaft 2 is connected to shaft 1 by gears 1 and 2. If 30% of the power is consumed by the gear3 and 9% by the pulley and 61% by the sprocket, draw torque diagrams for both shafts. If the pressure angle of the gears is 20 degrees to the x-axis, Calculate the reaction forces of the bearings and draw the bending moment diagrams for both shafts according to the information below: Lengths: AB=90mm/BC=DGH=50mm/CD=HI=60mm/DE=IJ=80mm Diameters: dG1=dG2=47mm/ dG3=20mm/ d(pulley)=35mm/d(sprocket)=40mm Gears Gear2 Tew) shaftz Bearing Shaft Gear1 SProcketarrow_forward
- 1. The following Flat Belt Drive Shown below was found in a certain machine, Bench Grinder Machine. The Following was investigated. Grinder Shaft Speed = 3,000 Rpm, Clockwise Pulley 1 Diameter = 2 inches Pulley 2 Diameter = 4 inches Pulley 4 Diameter = 3 inches Center to Center Distance, Pulley 4 and 3 = 2 feet Center to Center Distance, Pulley 2 and 1 = 1.5 feet Train Value = 3 Find: 1. The Speed of the Electric Motor Rotating in RPM 2. The Diameter of the Pulley 3 3. The Length of the Belt 1 4. The length of belt 2 Pulley 4 Electric Motor Shaft Belt 2, Crossed Belt Pulley 2 Pulley 3 Belt 1, Crossed Belt Pulley 1 C Grinder Shaftarrow_forwardThe power and motion can be transmitted from one shaft to another shaft by means of gear drives if center distance between the shafts is very large. Select one: True Falsearrow_forwardFind the angle of contact on the small pulley for a crossed belt drive with center distance of 73", if pulley diameters are 7" and 14", respectively. Also find the difference in length if anopen belt is used instead.arrow_forward
- The figure 1 shows a pulley assembly that consists of a shaft supported by two bearings and driven by a motor on the righthand side (not shown in the figure). The shaft diameter is 100mm. The pulley consists of two disks, each disk is 15 mm thick and has an outer diameter of 620mm, that are connected by means of a cylindrical shell. The length of the shell is 500mm, the outer diameter of the shell is 600mm, and the thickness of the shell is 15mm. The pulley drives a belt that places a uniformly distributed load on the shell (of 100000N) as shown in the diagram. The belt lifts a load that applies a torque of 6000Nm to the pulley. The shell and the plates are connected. A 6mm fillet should be applied to all the 90 degree corners between the shaft and the plates and between the shell and the plates. The highest stress in the systemarrow_forwardThe figure 1 shows a pulley assembly that consists of a shaft supported by two bearings and driven by a motor on the righthand side (not shown in the figure). The shaft diameter is 100mm. The pulley consists of two disks, each disk is 15 mm thick and has an outer diameter of 620mm, that are connected by means of a cylindrical shell. The length of the shell is 500mm, the outer diameter of the shell is 600mm, and the thickness of the shell is 15mm. The pulley drives a belt that places a uniformly distributed load on the shell (of 100000N) as shown in the diagram. The belt lifts a load that applies a torque of 6000Nm to the pulley. The shell and the plates are connected. A 6mm fillet should be applied to all the 90 degree corners between the shaft and the plates and between the shell and the plates. The deflection of the shaftarrow_forward2. A blower is driven by an electric motor though a belt drive. The motor runs at 750 r.p.m. For this power transmission, a flat belt of 8 mm thickness and 250 mm width is used. The diameter of the motor pulley is 350 mm and that of the blower pulley 1350 mm. The center distance between these pulleys is 1350 mm and an open belt configuration is adopted. The pulleys are made out of cast iron. The frictional coefficient between the belt and pulley is 0.35 and the permissible stress for the belt material can be taken as 2.5 N/mm2 with sufficient factor of safety. The mass of a belt is 2 kg per meter length. Find the maximum power transmitted without belt slipping in any one of the pulleys. [Ans. 35.9 kW]arrow_forward
- The figure 1 shows a pulley assembly that consists of a shaft supported by two bearings and driven by a motor on the righthand side (not shown in the figure). The shaft diameter is 100mm. The pulley consists of two disks, each disk is 15 mm thick and has an outer diameter of 620mm, that are connected by means of a cylindrical shell. The length of the shell is 500mm, the outer diameter of the shell is 600mm, and the thickness of the shell is 15mm. The pulley drives a belt that places a uniformly distributed load on the shell (of 100000N) as shown in the diagram. The belt lifts a load that applies a torque of 6000Nm to the pulley. The shell and the plates are connected. A 6mm fillet should be applied to all the 90 degree corners between the shaft and the plates and between the shell and the plates. Apply the boundary conditions and the forces and torques to the system and determine the following: Calculate the highest Principal stresses in the system ?arrow_forwardFind the angle of contact on the small pulley for a belt drive with center distance of 75 in. if pulley diameters are 9 in. and 18 in., respectively.arrow_forwardThe figure shows a transmission consisting of pulleys and gears. The motor (marked in red) rotates at 500 RPM clockwise of the clock and moves by means of a belt to the double pulley (of diameters of 18 and 12 inches). The double pulley moves by means of another belt to the upper pulley 14-inch with a 10-tooth # 1 gear added. Teeth per gear are: # 2-40, # 3-60, # 4-10 and # 5-65. Gear 5 has a wheel 6-inch diameter that moves to a zipper. Determine: a) The linear speed of the rack. b) The direction of its movement.arrow_forward
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