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 7, Problem 34P
To determine
The dimensions of a square key for the gear
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A pair of 20º full depth involute teeth bevel gears connect two shafts at right angles having velocity ratio 3 : 1. The gear is made of cast iron having allowable static stress as 70 MPa and the 20teeth pinion is of steel with allowable static stress as 100 MPa and 200BHN. The pinion works at 750 r.p.m. Determine the maximum power can be transmitted by the gears if the module is 10mm. Kf=1.4
A single stage spur gear gearbox has a module of 1.5mm and an input speed of 1500.p.m. and a pinion with 15 teeth. The overall ratio of the gearbox is 6:1 and the gearbox is transmitting a power of 6000W. If the factor of safetv is to be reduced to an absolute minimum acceptable value and the gears are to be made from a material with a Yield stress of 540 MPa, what is the face width of the gears (in mm)
Express your answer in the form 21.00 ie with two decimal place an no units
A 15 kW and 1200 r.p.m. motor drives a compressor at 300
r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts
is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa,
while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the
drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of
strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle
diameter of each gear.
Check the gears thus designed from the consideration of wear.
The surface endurance limit may be
taken as 700 MPa
Chapter 7 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 7 - A shaft is loaded in bending and torsion such that...Ch. 7 - The section of shaft shown in the figure is to be...Ch. 7 - The rotating solid steel shaft is simply supported...Ch. 7 - A geared industrial roll shown in the figure is...Ch. 7 - Design a shaft for the situation of the industrial...Ch. 7 - The figure shows a proposed design for the...Ch. 7 - For the problem specified in the table, build upon...Ch. 7 - Prob. 8PCh. 7 - For the problem specified in the table, build upon...Ch. 7 - For the problem specified in the table, build upon...
Ch. 7 - In the figure is a proposed shaft design to be...Ch. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 20PCh. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A 25-mm-diameter uniform steel shaft is 600 mm...Ch. 7 - Prob. 29PCh. 7 - Compare Eq. (727) for the angular frequency of a...Ch. 7 - Prob. 31PCh. 7 - The steel shaft shown in the figure carries a...Ch. 7 - A transverse drilled and reamed hole can be used...Ch. 7 - Prob. 34PCh. 7 - The shaft shown in Prob. 721 is proposed for the...Ch. 7 - A guide pin is required to align the assembly of a...Ch. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A ball bearing has been selected with the bore...Ch. 7 - Prob. 41PCh. 7 - A gear and shaft with nominal diameter of 35 mm...
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- A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MParrow_forwardA steel shaft 800 mm long transmitting 15 kW at 400 r.p.m. is supported at two bearings at the twoends. A gear wheel having 80 teeth and 500 mm pitch circle diameter is mounted at 200 mm from theleft hand side bearing and receives power from a pinion meshing with it. The axis of pinion and gearlie in the horizontal plane. A pulley of 300 mm diameter is mounted at 200 mm from right hand sidebearing and is used for transmitting power by a belt. The belt drive is inclined at 30° to the vertical inthe forward direction. The belt lap angle is 180 degrees. The coefficient of friction between belt andpulley is 0.3. Design and sketch the arrangement of the shaft assuming the values of safe stresses as :τ = 55 MPa; σt= 80 MPa. Take torsion and bending factor 1.5 and 2 respectively.arrow_forward2. A shaft is supported on bearings A and B, 800 mm between centres. A 20 degrees straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180 degrees angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is 3000 N and the tension ratio is 3: 1. Determine the maximum bending moment and the necessary shaft diameter if the allowable shear stress of the material is 40 MPa.arrow_forward
- 13–31 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.(a) Find the force F3b that gear 3 exerts against shaft b.arrow_forwardA pair of helical gears transmit 15 KW power and the pinion is rotating at 1000 rpm. The helix angle is 0.50 radians and the normal pressure angle is 0.35 radians. The pitch diameter of the pinion is 70 mm and the pitch diameter of the gear is 210 mm. Determine the tangential, radial, and axial forces between the gear teeth.arrow_forwardA straight tooth spur pinion has a 19 tooth pinion rotating at a speed of 1640 rpm. The driven gear will be rotating at a speed of 480 rpm. If the module of the pinion is 2,5 mm and pressure angle is 25 degree; Evaluate the outer diameter (mm) of the gear. A) 158,125 B) 157,5 C) 160 D) 162,5 E) 160,625arrow_forward
- A 15 kW and 1200 motor drives a compressor at 300 a pair of spur gears having . The center-to-center distance between the shafts is 400 . The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa . Assuming that the drive operates 8 to 10 hours per day under light conditions , find from the standpoint of strength Module , 2. Fare and 3. Number of teeth and pitch circle diameter of each gear 2. Check the gears thus designed from the consideration of Static tooth load or endurance strength of the tooth flexural endurance limil (sigma_{\epsilon}) may be taken as 400 MPa 3. Check the gears thus designed from the consideration of wear surface endurance limit ( sigma epsilon x ) may be taken 700 MPa b ^ pi ( 6.154 - 0512/pi; F_{N}arrow_forward13-32 The 247 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 torque can arm 3 deliver to its output shaft? Draw free-body diagrams of the arm and of each gear and show all forces that act upon them.arrow_forwardA 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.arrow_forward
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