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 No. of teeth and velocity factor is given by 3 C, = 3+Y *where v is the peripheral speed of the gear in m/s.

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 No. of teeth and velocity factor is given by 3 C, = 3+Y *where v is the peripheral speed of the gear in m/s.

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

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

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