Question

A 24-tooth gear has AGMA standard full-depth involute teeth with diametral pitch of 12. Calculate the pitch diameter, circular pitch, addendum, dedendum, tooth thickness and clearance. All dimensions must be taken to 4 decimal places to account for manufacturing tolerances.

Answer 1

• Pitch diameter = 2.0000in

• Circular pitch = 0.2618in

• Addendum = 0.0833in

• Dedendum = 0.1042in

• Tooth thickness = 0.1309 in

• Clearance = 0.02083 in

Step-by-step explanation:

We are given:

Total number, N = 24

Diametral pitch, pd = 12 in

•to calculate pitch diameter, we use:

`d = (N)/(pd) =(24)/(12) = 2.0000 in`

•to calculate circular pitch, we have:

`P_c= (pi)/(pd) = P_c = (3.142)/(12)= 0.2618in`

•To calculate addendum:

`Addendum, a= (1.0000)/(pd) => (1.0000)/(12) = 0.0833in`

•Dedendum:

`b= (1.2500)/(pd)=> (1.2500)/(12) =0.1042in`

•Tooth thickness, t :

t = 0.5*pc

= 0.5*0.2618 = 0.1309in

•Clearance, c:

`c = (0.2500)/(pd) => (0.2500)/(12) = 0.2083in`

Answer 2

Step-by-step explanation:

Given:

Tooth Number, N = 24

Diametral pitch pd = 12

pitch diameter, d = N/pd = 24/12 = 2in

circular pitch, pc = π/pd = 3.142/12 = 0.2618in

Addendum, a = 1/pd = 1/12 =0.08333in

Dedendum, b = 1.25/pd = 0.10417in

Tooth thickness, t = 0.5pc = 0,5 * 0.2618 = 0.1309in

Clearance, c = 0.25/pd = 0.25/12 = 0.02083in