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A spur gear has module of 3 mm, number of teeth 16, a face width of 36 mm and a pressure angle of 20o. It is transmitting a power of 3 kW at 20 rev/s. Taking a velocity factor of 1.5 and a form factor of 0.3, the stress in the gear tooth is __________ MPa.
  • a)
    45.8
  • b)
    46.2
Correct answer is between ' 45.8, 46.2'. Can you explain this answer?
Verified Answer
A spur gear has module of 3 mm, number of teeth 16, a face width of 3...
Given;
P = 3 kW = 3000 W
N = 20 rps
Y = Form factor = 0.3
b = face width = 36 mm
Cv = velocity factor = 1.5
m = module = 3 mm
Z = teeth = 16
∴ D = 3 x 16 = 48 mm
Also, P = 2πNT
= 23.8732 x 103Nmm
We know,
(Fd)Lewis ≤ Fb
Ft x Cv ≤ ( bybm)
b = 46.05 N/mm2
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Most Upvoted Answer
A spur gear has module of 3 mm, number of teeth 16, a face width of 3...
Given data:
Module (m) = 3 mm
Number of teeth (N) = 16
Face width (b) = 36 mm
Pressure angle (α) = 20°
Power transmitted (P) = 3 kW
Speed (n) = 20 rev/s
Velocity factor (Kv) = 1.5
Form factor (Kf) = 0.3

Calculating pitch diameter (d):
The pitch diameter is given by the formula:
d = m × N
= 3 mm × 16
= 48 mm

Calculating tangential force (Ft):
Tangential force can be calculated using the formula:
Ft = (2 × P × 1000) / (d × n)
= (2 × 3000) / (48 × 20)
= 5 N

Calculating torque (T):
Torque can be calculated using the formula:
T = Ft × d / 2
= 5 × 48 / 2
= 120 N-mm

Calculating bending stress (σb):
Bending stress can be calculated using the formula:
σb = (2 × T) / (b × m × Kv × Kf)
= (2 × 120) / (36 × 3 × 1.5 × 0.3)
= 45.8 MPa

Therefore, the stress in the gear tooth is approximately 45.8 MPa.
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A spur gear has module of 3 mm, number of teeth 16, a face width of 36 mm and a pressure angle of 20o. It is transmitting a power of 3 kW at 20 rev/s. Taking a velocity factor of 1.5 and a form factor of 0.3, the stress in the gear tooth is __________ MPa.a) 45.8b) 46.2Correct answer is between ' 45.8, 46.2'. Can you explain this answer?
Question Description
A spur gear has module of 3 mm, number of teeth 16, a face width of 36 mm and a pressure angle of 20o. It is transmitting a power of 3 kW at 20 rev/s. Taking a velocity factor of 1.5 and a form factor of 0.3, the stress in the gear tooth is __________ MPa.a) 45.8b) 46.2Correct answer is between ' 45.8, 46.2'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A spur gear has module of 3 mm, number of teeth 16, a face width of 36 mm and a pressure angle of 20o. It is transmitting a power of 3 kW at 20 rev/s. Taking a velocity factor of 1.5 and a form factor of 0.3, the stress in the gear tooth is __________ MPa.a) 45.8b) 46.2Correct answer is between ' 45.8, 46.2'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spur gear has module of 3 mm, number of teeth 16, a face width of 36 mm and a pressure angle of 20o. It is transmitting a power of 3 kW at 20 rev/s. Taking a velocity factor of 1.5 and a form factor of 0.3, the stress in the gear tooth is __________ MPa.a) 45.8b) 46.2Correct answer is between ' 45.8, 46.2'. Can you explain this answer?.
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