Question

Spur gear has a module of 3 mm, number of teeth 16, face width 36mm and pressure angle of 20°. It is transmitting power of 3 kW at 20 rev/sec. Taking velocity factor of 1.5 and form factor of 0.3, and permissible bending stress as 200 MPa, beam strength of the gear in N is

• A. 4320 N
• B. 995.22 N
• C. 30520.8 N
• D. 6480 N

Answer 1

The correct option is A 4320 N

m = 3 mm, T = 16,
b = 36 mm, $\varphi$ = 20°,
P = 3 kW, N = 20 rev/s,
$c_v$ = 1.5, y = 0.3,

${\sigma }_b=200MPa,F_t=?$

$F_t={\sigma }_{b}bmy{c}_V$

$=200\times 3\times 36\times \frac{0.3}{1.5}=4320N$