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mechanical engineering

Questions and Answers of Mechanical Engineering

A compression spring is needed to fit within a 1-in diameter hole. To allow for some clearance, the outside diameter of the spring is to be no larger than 0.9 in. To ensure a reasonable coil, use a
A helical compression spring is to be cycled between 150 lbf and 300 lbf with a 1-in stroke. The number of cycles is low, so fatigue is not an issue. The coil must fit in a 2.1-in diameter hole with
The figure shows a conical compression helical coil spring where R1 and R2 are the initial and final coil radii, respectively, d is the diameter of the wire, and Na is the total number of active
The extension spring shown in the figure has full-twisted loop ends. The material is AISI 1065 OQ&T wire. The spring has 84 coils and is close-wound with a preload of 16 lbf.(a) Find the closed
Wire form springs can be made in a variety of shapes. The clip shown operates by applying a force F. The wire diameter is d, the length of the straight section is l, and Young€™s modulus is
For the wire form shown, the wire diameter is d, the length of the straight section is l, and Young€™s modulus is E. Consider the effects of bending only, with d (a) Use
Figure 10€“13b shows a spring of constant thickness and constant stress. A constant stress spring can be designed where the width b is constant as shown.Figure 10€“13b shows(a)
A certain application requires a ball bearing with the inner ring rotating, with a design life of 25 kh at a speed of 350 rev/min. The radial load is 2.5kN and an application factor of 1.2 is
An angular-contact, inner ring rotating, 02-series ball bearing is required for an application in which the life requirement is 40 kh at 520 rev/min. The design radial load is 725 lbf. The
The other bearing on the shaft of Prob. 11–2 is to be a 03-series cylindrical roller bearing with inner ring rotating. For a 2235-lbf radial load, find the catalog rating C10 with which to enter
Two ball bearings from different manufacturers are being considered for a certain application. Bearing A has a catalog rating of 2.0 kN based on a catalog rating system of 3 000 hours at 500 rev/min.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the bearing application specifications given in the table for the assigned problem, determine the Basic Load Rating for a ball bearing with which to enter a bearingcatalog.
For the problem specified in the table, build upon the results of the original problem to obtain a Basic Load Rating for a ball bearing at C with a 95 percent reliability. The shaft rotates at 1200
For the problem specified in the table, build upon the results of the original problem to obtain a Basic Load Rating for a ball bearing at C with a 95 percent reliability. The shaft rotates at 1200
For the problem specified in the table, build upon the results of the original problem to obtain a Basic Load Rating for a ball bearing at C with a 95 percent reliability. The shaft rotates at 1200
For the problem specified in the table, build upon the results of the original problem to obtain a Basic Load Rating for a ball bearing at C with a 95 percent reliability. The shaft rotates at 1200
For the shaft application defined in Prob. 3€“77, p. 139, the input shaft EG is driven at a constant speed of 191 rev/min. Obtain a Basic Load Rating for a ball bearing at A for a life of
For the shaft application defined in Prob. 3€“79, p. 139, the input shaft EG is driven at a constant speed of 280 rev/min. Obtain a Basic Load Rating for a cylindrical roller bearing at A
An 02-series single-row deep-groove ball bearing with a 65-mm bore (Tables 11–1 and 11–2 for specifications) is loaded with a 3-kN axial load and a 7-kN radial load. The outer ring rotates at 500
An 02-series single-row deep-groove ball bearing with a 30-mm bore (Tables 11–1 and 11–2 for specifications) is loaded with a 2-kN axial load and a 5-kN radial load. The inner ring rotates at 400
An 02-series single-row deep-groove ball bearing is to be selected from Table 11€“2 for the application conditions specified in the table. Assume Table 11€“1 is applicable if
An 02-series single-row deep-groove ball bearing is to be selected from Table 11€“2 for the application conditions specified in the table. Assume Table 11€“1 is applicable if
An 02-series single-row deep-groove ball bearing is to be selected from Table 11€“2 for the application conditions specified in the table. Assume Table 11€“1 is applicable if
An 02-series single-row deep-groove ball bearing is to be selected from Table 11€“2 for the application conditions specified in the table. Assume Table 11€“1 is applicable if
An 02-series single-row deep-groove ball bearing is to be selected from Table 11€“2 for the application conditions specified in the table. Assume Table 11€“1 is applicable if
The shaft shown in the figure is proposed as a preliminary design for the application defined in Prob. 3€“72, p. 138. The effective centers of the gears for force transmission are shown.
Repeat the requirements of Prob. 11€“27 for the bearing at the left end of the shaft.In Prob. 11€“27, The shaft shown in the figure is proposed as a preliminary design for the
The shaft shown in the figure is proposed as a preliminary design for the application defined in Prob. 3€“73, p. 138. The effective centers of the gears for force transmission are shown.
Repeat the requirements of Prob. 11€“29 for the bearing at the left end of the shaft.In Prob. 11€“29, The shaft shown in the figure is proposed as a preliminary design for the
Shown in the figure is a gear-driven squeeze roll that mates with an idler roll. The roll is designed to exert a normal force of 35 lbf/in of roll length and a pull of 28 lbf/in on the material being
The figure is a schematic drawing of a countershaft that supports two V-belt pulleys. The countershaft runs at 1500 rev/min and the bearings are to have a life of 60kh at a combined reliability of
A gear-reduction unit uses the countershaft depicted in the figure. Find the two bearing reactions. The bearings are to be angular-contact ball bearings, having a desired life of 50 kh when used at
The worm shaft shown in part a of the figure transmits 1.2 hp at 500 rev/min. A static force analysis gave the results shown in part b of the figure. Bearing A is to be an angular-contact ball
A 16-tooth pinion drives the double-reduction spur-gear train in the figure. All gears have 25—¦ pressure angles. The pinion rotates ccw at 1200 rev/min and transmits power to the gear
Estimate the remaining life in revolutions of an 02-30 mm angular-contact ball bearing already subjected to 200 000 revolutions with a radial load of 18 kN, if it is now to be subjected to a change
A countershaft is supported by two tapered roller bearings using an indirect mounting. The radial bearing loads are 560 lbf for the left-hand bearing and 1095 for the right-hand bearing. An axial
For the shaft application defined in Prob. 3–74, p. 138, perform a preliminary specification for tapered roller bearings at C and D. A bearing life of 108 revolutions is desired with a 90 percent
For the shaft application defined in Prob. 3–76, p. 139, perform a preliminary specification for tapered roller bearings at A and B. A bearing life of 500 million revolutions is desired with a 90
An outer hub rotates around a stationary shaft, supported by two tapered roller bearings as shown in Fig. 11–23. The device is to operate at 250rev/min, 8 hours per day, 5 days per week, for 5
The gear-reduction unit shown has a gear that is press fit onto a cylindrical sleeve that rotates around a stationary shaft. The helical gear transmits an axial thrust load T of 250lbf as shown in
A 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1120 rev/min, and drives a gear at a speed of 544 rev/min. Find the number of teeth on the gear and the theoretical
A 15-tooth spur pinion has a module of 3 mm and runs at a speed of 1600 rev/min. The driven gear has 60 teeth. Find the speed of the driven gear, the circular pitch, and the theoretical
A spur gearset has a module of 6 mm and a velocity ratio of 4. The pinion has 16 teeth. Find the number of teeth on the driven gear, the pitch diameters, and the theoretical center-to-center distance.
A 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20◦. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the
A 20◦ straight-tooth bevel pinion having 14 teeth and a diametral pitch of 6 teeth/in drives a 32-tooth gear. The two shafts are at right angles and in the same plane. Find:(a) The cone distance(b)
A parallel helical gearset uses a 20-tooth pinion driving a 36-tooth gear. The pinion has a right-hand helix angle of 30◦, a normal pressure angle of 25◦, and a normal diametral pitch of 4
A parallel helical gearset consists of a 19-tooth pinion driving a 57-tooth gear. The pinion has a left-hand helix angle of 30◦, a normal pressure angle of 20◦, and a normal module of 2.5 mm.
To avoid the problem of interference in a pair of spur gears using a 20◦ pressure angle, specify the minimum number of teeth allowed on the pinion for each of the following gear ratios.(a) 2 to
Repeat Prob. 13–8 with a 25◦ pressure angle.To avoid the problem of interference in a pair of spur gears using a 20◦ pressure angle, specify the minimum number of teeth allowed on the pinion
For a spur gearset with φ = 20◦, while avoiding interference, find:(a) The smallest pinion tooth count that will run with itself(b) The smallest pinion tooth count at a ratio mG = 2.5, and the
Repeat problem 13–10 for a helical gearset with φn = 20◦ and ψ = 30◦.Problem 13–10, for a spur gearset with φ = 20◦, while avoiding interference, find:(a) The smallest pinion tooth count
The decision has been made to use φn = 20◦, Pt = 6 teeth/in, and ψ = 30◦ for a 2:1 reduction. Choose a suitable pinion and gear tooth count to avoid interference.
Repeat Problem 13–12 with ψ = 45◦.Problem 13–12, the decision has been made to use φn = 20◦, Pt = 6 teeth/in, and ψ = 30◦ for a 2:1 reduction. Choose a suitable pinion and gear tooth
By employing a pressure angle larger than standard, it is possible to use fewer pinion teeth, and hence obtain smaller gears without undercutting during machining. If the gears are spur gears, what
A parallel-shaft gearset consists of an 18-tooth helical pinion driving a 32-tooth gear. The pinion has a left-hand helix angle of 25◦, a normal pressure angle of 20◦, and a normal module of 3
The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 700 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a 30—¦ helix
Shaft a in the figure rotates at 600 rev/min in the direction shown.Find the speed and direction of rotation of shaftd.
The mechanism train shown consists of an assortment of gears and pulleys to drive gear 9. Pulley 2 rotates at 1200 rev/min in the direction shown.Determine the speed and direction of rotation of
The figure shows a gear train consisting of a pair of helical gears and a pair of miter gears. The helical gears have a 17 1/2—¦ normal pressure angle and a helix angle as shown. Find:(a)
A compound reverted gear train is to be designed as a speed increaser to provide a total increase of speed of exactly 45 to 1. With a 20◦ pressure angle, specify appropriate numbers of teeth to
Repeat Prob. 13–20 with a 25◦ pressure angle.Repeat Prob. 13–20, A compound reverted gear train is to be designed as a speed increaser to provide a total increase of speed of exactly 45 to 1.
Repeat Prob. 13–20 for a gear ratio of exactly 30 to 1.Repeat Prob. 13–20 A compound reverted gear train is to be designed as a speed increaser to provide a total increase of speed of exactly 45
Repeat Prob. 13–20 for a gear ratio of approximately 45 to 1.Repeat Prob. 13–20 A compound reverted gear train is to be designed as a speed increaser to provide a total increase of speed of
A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 2500 rev/min. The output should deliver the power at a rotational speed in the
The tooth numbers for the automotive differential shown in the figure are N2 = 16, N3 = 48, N4 = 14, N5 = N6 = 20. The drive shaft turns at 900 rev/min.(a) What are the wheel speeds if the car is
The figure illustrates an all-wheel drive concept using three differentials, one for the front axle, another for the rear, and the third connected to the drive shaft.(a) Explain why this concept may
In the reverted planetary train illustrated, find the speed and direction of rotation of the arm if gear 2 is unable to rotate and gear 6 is driven at 12 rev/min in the clockwisedirection.
In the gear train of Prob. 13â€“27, let gear 6 be driven at 85 rev/min counterclockwise while gear 2 is held stationary. What is the speed and direction of rotation of the arm?Prob.
Tooth numbers for the gear train shown in the figure are N2 = 12, N3 = 16, and N4 = 12. How many teeth must internal gear 5 have? Suppose gear 5 is fixed.What is the speed of the arm if shaft a
The tooth numbers for the gear train illustrated are N2 = 20, N3 = 16, N4 = 30, N6 = 36, and N7 = 46. Gear 7 is fixed.If shaft a is turned through 10 revolutions, how many turns will shaft bmake?
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 20â—¦ pressure angle. Gear 3 is an idler.(a)
The 24T 6-pitch 20—¦ pinion 2 shown in the figure rotates clockwise at 1000 rev/min and is driven at a power of 25 hp. Gears 4, 5, and 6 have 24, 36, and 144 teeth, respectively. What
The gears shown in the figure have a module of 12 mm and a 20—¦ pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 150 kW through the idler pair to gear 5 on shaft
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 45-tooth gear. The horsepower input is 32 maximum at 1800
The figure shows the electric-motor frame dimensions for a 30-hp 900 rev/min motor. The frame is bolted to its support using four Â¾ -in bolts spaced 11 Â¼ in apart in the view shown and 14 in
Continue Prob. 13–24 by finding the following information, assuming a diametral pitch of 6 teeth/in.(a) Determine pitch diameters for each of the gears.(b) Determine the pitch line velocities (in
A speed-reducer gearbox containing a compound reverted gear train transmits 35 horsepower with an input speed of 1200 rev/min. Spur gears with 20◦ pressure angle are used, with 16 teeth on each of
For the countershaft in Prob. 3–72, p. 138, assume the gear ratio from gear B to its mating gear is 2 to 1.(a) Determine the minimum number of teeth that can be used on gear B without an
For the countershaft in Prob. 3–73, p. 138, assume the gear ratio from gear B to its mating gear is 5 to 1.(a) Determine the minimum number of teeth that can be used on gear B without an
For the gear and sprocket assembly analyzed in Prob. 3–77, p. 139, information for the gear sizes and the forces transmitted through the gears was provided in the problem statement. In this
For the gear and sprocket assembly analyzed in Prob. 3–79, p. 139, information for the gear sizes and the forces transmitted through the gears was provided in the problem statement. In this
For the bevel gearset in Probs. 3–74 and 3–76, pp. 138 and 139 respectively, shaft AB is rotating at 600 rev/min and transmits 10 hp. The gears have a 20◦ pressure angle.(a) Determine the bevel
The figure shows a 16T 20—¦ straight bevel pinion driving a 32T gear, and the location of the bearing centerlines. Pinion shaft a receives 2.5 hp at 240 rev/min.Determine the bearing
The figure shows a 10 diametral pitch 18-tooth 20—¦ straight bevel pinion driving a 30-tooth gear. The transmitted load is 25 lbf.Find the bearing reactions at C and D on the output shaft
The gears in the two trains shown in the figure have a normal diametral pitch of 5 teeth/in, a normal pressure angle of 20â—¦, and a 30â—¦ helix angle. For both gear trains the transmitted
This is a continuation of Prob. 13â€“45. Here, you are asked to find the forces exerted by gears 2 and 3 on their shafts as shown in part b. Gear 2 rotates clockwise about the y axis. Gear 3 is
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—¦
In the figure for Prob. 13–34, pinion 2 is to be a right-hand helical gear having a helix angle of 30◦, a normal pressure angle of 20◦, 16 teeth, and a normal diametral pitch of 6 teeth/in. A
Gear 2, in the figure, has 16 teeth, a 20â—¦ transverse angle, a 15â—¦ helix angle, and a module of 4 mm. Gear 2 drives the idler on shaft b, which has 36 teeth. The driven gear on shaft c
The figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 lbf ãƒ»in from its shaft in the direction shown. Pinion 2 has a normal
A right-hand single-tooth hardened-steel (hardness not specified) worm has a catalog rating of 2000 W at 600 rev/min when meshed with a 48-tooth cast-iron gear. The axial pitch of the worm is 25 mm,
The hub diameter and projection for the gear of Prob. 13€“51 are 100 and 37.5 mm, respectively. The face width of the gear is 50 mm. Locate bearings C and D on opposite sides, spacing C 10
A 2-tooth left-hand worm transmits ¾ hp at 600 rev/min to a 36-tooth gear having a transverse diametral pitch of 8 teeth/in. The worm has a normal pressure angle of 20—¦, a pitch
A steel spur pinion has a diametral pitch of 10 teeth/in, 18 teeth cut full-depth with a 20◦ pressure angle, and a face width of 1 in. This pinion is expected to transmit 2 hp at a speed of 600
A steel spur pinion has 16 teeth cut on the 20◦ full-depth system with a module of 8 mm and a face width of 90 mm. The pinion rotates at 150 rev/min and transmits 6 kW to the mating steel gear.

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