SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
10th Edition
ISBN: 9781260243314
Author: BUDYNAS
Publisher: MCG CUSTOM
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Chapter 15, Problem 22P
To determine
The design parameter of worm gear.
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A pair of gray iron and steel helical gears, having a helix angle of 15° with 20° full-depth teeth are to transmit 10 hp at 1500 rpm of a 4-in pinion having a total number of 28teeth. The velocity ratio desired is about mw = 4.
Find the (a) normal circular pitch,
(b) normal diametral pitch, (c) axial pitch,
and (d) dynamic load
A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5 in, and the quality standard is No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a grade 1 steel with a hardness of 240 Brinell tooth surface and through-hardened core. The gear is steel, through-hardened also, grade 1 material, with a Brinell hardness of 200, tooth surface and core. Poisson's ratio is 0.30, Jp = 0.30, JG = 0.40, and Young's modulus is 30(10°) psi. The loading is smooth because of motor and load. Assume a pinion life of 108 cycles and a reliability of 0.90, and use YN = 1.3558N-0.0178, ZN = 1.4488N-0.023. The tooth profile is uncrowned. This is a commercial enclosed gear unit. (a) Find the factor of safety of the gears in bending. (b) Find the factor of safety of the gears in wear. (c) By examining the factors of safety, identify the threat to each gear and to the…
A 57-tooth spur gear is in mesh with a 23-tooth pinion. The gearset transmits 125 hp at 1000 pinion rpm. Size the spur gears for a bending failure safety factor of at least 2 assuming a steady torque, 25∘ pressure angle, full-depth teeth, Qν = 9, an AISI 4140 steel pinion, and a class 40 cast iron gear.
Part A
Find the appropriate standard diametral pitch for the gearset.
Part B
Find the minimum required face width of the gears needed to satisfy the safety requirements
Chapter 15 Solutions
SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
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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- 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_forwardProvide very clear and complete solution and diagam. SITUATIONAL PROBLEM: Two shafts are connected by spur gears. The pitch radii of the gears A and B are 200 mm and 860 mm respectively. If shaft A makes 350rpm and is subjected to twisting moment of 250 N-m. Pressure angle is 14.5 degree. What is: a.) Rpm of gear B b.) Torque in shaft B (in Newton meter). c.) Separation load of two gears (in newtons). d.) Total load on gears (in newtons).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_forward
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