2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. Thepressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, designthe smallest diameter gears and find also necessary face width. The number of teeth should not be lessthan 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105MPa. Lewis factor for 14½½ pressure angle may be taken0.6840.124y =No. of teethas[Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]

Answered: 2. A spur gear made of bronze drives a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2° composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75 kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and modulus of elasticity for cast iron as 84 kN/mm². A0a& ENG 1222/20 nere to search
1.A pair of helical gears are designed to transmit 15 kW. The teeth are 20° stub in diametral plane and have a helix angle of 45°. The pinion runs at 10 000 r.p.m. and has 80 mm pitch diameter. The gear has 320 mm pitch diameter. If the gears are made of cast steel having allowable static strength of 100 MPa; determine a suitable module and face width from static strength considerations and check the gears for wear, given Ous = 618 MPa.
3. A pair of 20° full-depth involute tooth spur gears is to transmit 30 kW at a speed of 250 r.p.m. of the pinion. The velocity ratio is 1:4. The pinion is made of cast steel having an allowable static stress, o, = 100 MPa, while the gear is made of cast iron having allowable static stress, o,= 55 MPa. The pinion has 20 teeth and its face width is 12.5 times the module. Determine the module, face width and pitch diameters of both the pinion and gear from the standpoint of strength only taking velocity factor into consideration. The tooth form factor is given by the expression 0.912 0.154 – y = No. of teeth and velocity factor is given by 3 where v is the peripheral speed of the gear in m/s. 3+ v
(b)A pair of straight bevel gears has a velocity ratio of 2:1. The pitch circle diameter of the pinion is 80 mm at the large end of the tooth.A5KW power is supplied to the pinion which rotates at 800 rp.m. The face width is 40 mm and the pressure angle is 20. Calculate the tangential ,radial and axial components of the resultant tooth force acting on the pinion
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A 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.
In a gear set, a 36-tooth spur pinion drives a 60-tooth spur gear. The teeth of these gear are cast iron profile. The diametral pitch is 6-teeth/in, the face width si 0.5 inches, and the pressure angle is 20 degrees. Assume that the pinion transmits 10 hp at a speed of 2000 rpm. Find the pitch diameters of the gears. Find the pitch line velocity in ft/min Find the velocity factor Ky Find the tangential load in lbf Find the contact stress in kpsi, assuming CP=1960 psi.
In the double-reduction gear train shown (dimensions are in inches), shaft a is driven by a motor attached by a flexible coupling attached to the overhang. The motor provides a torque of 2500 lbf-in at a speed of 1200 rpm. The gears have 20° pressure angles, with diameters shown in the figure. Use an AISI 1020 cold-drawn steel. Design Shaft CD with a design factor of 1.5 by performing the following tasks. (a) Sketch a general shaft layout, including means to locate the gears and bearings, and to transmit the torque. (b) Perform a force analysis to find the bearing reaction forces, and generate shear and bending moment diagrams. (c) Determine potential critical locations for stress design. (d) Determine critical diameters of the shaft based on fatigue and static stresses at the critical locations. (e) Make any other dimensional decisions necessary to specify all diameters and axial dimensions. Sketch the shaft to scale, showing all proposed dimensions. (f) If any of the deflections…
The gears shown in the following figure have a module of 10 mm and a pressure angle of 20°. The pinion (gear 2) rotates at 1200 rpm cw with a power input of 150 kW. Gears 3 and 4 are idlers. N₂ = 18t, N3 =32t, №4 = 18t, N5 =48t al bi N₂ 4 3 N5 Determine the following: a. Pitch diameters of each gear. b. The tangential Force from gear 3 to gear 2. c. The radial force from gear 3 to gear 2 d. The input torque on shaft a. e. Draw the free body diagram for gear 2. f. The tangential forces exerted on gears 3 and 4 g. The radial forces exerted on gears 3 and 4. h. Draw the free body diagram for gears 3 and 4.
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Helical Gears, Bevel Gears, and Wormgearing 1

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