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 15, Problem 18P
15-15 to 15-22 As in Ex. 15-4, design a cylindrical worm-gear mesh to connect a squirrel-cage induction motor to a liquid agitator. The motor speed is 1125 rev/min, and the velocity ratio is to be 10:1. The output power requirement is 25 hp. The shaft axes are 90° to each other. An overload factor Ko (see Table 15-2) makes allowance for external dynamic excursions of load from the nominal or average load Wt. For this service Ko = 1.25 is appropriate. Additionally, a design factor nd of 1.1 is to be included to address other unquantifiable risks. For Probs. 15-15 to 15-17 use the AGMA method for
| 15-18 | Buckingham | Steel, 500 Bhn | Chilled-cast bronze |
EXAMPLE 15-4 Design a 10-hp 11:1 worm-gear speed-reducer mesh for a lumber mill planer feed drive for 3- to 10-h daily use. A 1720-rev/min squirrel-cage induction motor drives the planer feed (Ka = 1.25). and the ambient temperature is 70°F.
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The figure shows a 10 diametral pitch 18-tooth 20° straight bevel pinion driving a
38-tooth gear. The transmitted load is 35 lbf. Find the bearing reactions at D on the
output shaft if it is to take both radial and thrust loads.
Problem 13-44
Dimensions in inches.
3
0
72
이
012441100
2
The bearing reactions at D on the output shaft due to radial load FD, radialis
57.987 lbf and due to thrust load FD, thrust is
4.803 lbf.
€
Problem 4. A 16-tooth 240 Bhn steel spur pinion having a pressure angle of 20° and rotating at 720 rev/min
drives a 28-tooth 240 Bhn steel gear having a 2.5 -in face and a diametral pitch of 5 teeth/in. Find the factor of
safety of this drive based on bending strength if 17.5 hp is transmitted. Use Ko=Ks=1, Km=1.6 and Qv=7.
13-55 Gear 2, in the figure, has 16 teeth, a 20° transverse pressure angle, a 15° 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 has 28 teeth. If the driver rotates at 1600 rev/min and transmits
6 kW, find the radial and thrust load on each shaft.
LH
90°
Problem 13-55
RH
RH
Chapter 15 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 15 - An uncrowned straight-bevel pinion has 20 teeth, a...Ch. 15 - For the gearset and conditions of Prob. 15-1, find...Ch. 15 - An uncrowned straight-bevel pinion has 30 teeth, a...Ch. 15 - For the gearset and conditions of Prob. 15-3, find...Ch. 15 - An uncrowned straight-bevel pinion has 22 teeth, a...Ch. 15 - Prob. 6PCh. 15 - In straight-bevel gearing, there are some analogs...Ch. 15 - Refer to your solution to Probs. 15-1 and 15-2. If...Ch. 15 - Prob. 9PCh. 15 - Prob. 10P
Ch. 15 - Apply the relations of Prob. 15-7 to Ex. 15-1 and...Ch. 15 - Prob. 14PCh. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - 15-15 to 1 5-22 As in Ex. 154, design a...Ch. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - 15-15 to 15-22 As in Ex. 15-4, design a...Ch. 15 - Prob. 22P
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- Problem 13.049 - Bearing Reactions for Beveled Gears The figure shows a 16T 20° straight bevel pinion driving a 32 T gear and the location of the bearing centerlines. Pinion shaft a receives 2 hp at 200 rev/min. Determine the bearing reactions at A if it is to take both radial and thrust loads. Problem 13-43 Dimensions in inches. The bearing reaction due to radial load FA, radial is | B 4 Ibf and the bearing reaction due to thrust load FA, thrust is Ibf.arrow_forwardQ1 Design a 4:1 spur-gear reduction for a 59 kW, three-phase squirrel-cage induction motor running at 1244 rev/min. The load is smooth, providing a reliability of 99.9 % at 109 revolutions of the pinion. Gearing space is meager. Use pinion materials to be Nitralloy 135M, grade 2 steel and nitrided through-hardened grade 1 steel material to keep the gear size small. The gears are heat-treated first then nitrided. Consider temperature factor is 1.1 for 250 0C.arrow_forwardA 50 mm transmission shaft transmitting 15 kW power at 200 rpm is supported on two deep grove ball bearings 750 mm apart and two gears are key to it. The pinion and gear have 30 and 100 teeth respectively. The pinion is located at 100 mm to the left of the right bearing, whereas the gear is located at 150 mm to the right of the left bearing The module and pressure angle of gear is 5 and 20o involute. Pinion delivers power horizontally to the right and gear received power in a vertical direction from below as shown in Figure l. The expected life of 15,00 h assumes the torque is the same for both pinion and gear and the bearings are under radial load only. Find the pitch diameters of pinion and gear. The torque transmits by the shaft Find force FC and FD Select suitable deep groove ball bearings at A and B B 150 500 100 Fe N-arrow_forward
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- A gear reducer similar to Figure 3–1(a), transmits power from input shaft AB to output shaft CD. The input torque and constant speed are T = 200 lbf-in and ωi = 60 rev/min, respectively. The output load torque and speed are To and ωo, respectively. (c) Shaft AB, with diameter 0.5 in, is supported by ball bearings at A and B, which can be treated as simple supports. For this shaft, the dimension from A to gear G1 is 1.5 in, and gear G1 to B is 2 in. The pitch radii of the gears are r1 = 1.0 in and r2 = 2.5 in. For the spur gears, the pressure angle, ϕ, is 20 degrees. The book name is Shigleys Mechanical Engineering design 11tharrow_forwardA 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 60 kh when used at 330 rev/min. Use 1.2 for the application factor and a reliability goal for the bearing pair of 0.92arrow_forwardA 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 4 kW to the mating steel gear. This pinion is to mesh with a steel gear with a gear ratio of 4:1. The Brinell hardness of the teeth is 200, and the tangential load transmitted by the gears is 4 kN. If the contact fatigue strength of the steel can be estimated from the AGMA formula of Sc= 2.22 HB + 200 MPa, estimate the factor of safety of the drive based on a surface fatigue failure. The factor of safety of the drive is 3.086arrow_forward
- 13-31 Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclock- wise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler. (a) Find the force F3, that gear 3 exerts against shaft b. (b) Find the torque T4, that gear 4 exerts on shaft c. 517 34T Problem 13-31 3 177arrow_forwardThe figure shows a pair of shaft-mounted spur gears having a module of 5 mm with an 18-tooth 20° pressure angle pinion driving a 45-tooth gear. The power input is 24 kW at 1800 rev/min counterclockwise into the pinion. Find the direction and magnitude of the forces acting on the shafts a and b. SOLUTION:arrow_forwardA steel shaft 800 mm long transmitting 15 kW at 400 Q5: r.p.m. is supported at two bearings at the two ends. A having 80 teeth and 500 mm pitch circle diameter is mounted at 200 mm from the left hand side bearing and receives power from a pinion meshing with it. The axis of pinion and gear lie in the horizontal plane. A pulley of 300 mm diameter is mounted at 200 mm from right hand side bearing and is used for transmitting power by a belt. The belt drive is inclined at 30° to the vertical in the forward direction. The belt lap angle is 180 degrees. The coefficient of friction between belt and pulley is 0.3. Design and sketch the arrangement of the shaft assuming the values of safe stresses as: t gear wheel 55 MPa; o, = 80 MPa. Take torsion and bending factor 1.5 and 2 respectively. [Ans. 120 mm]arrow_forward
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