The formula to calculate the Normal Force on Gear Shaft is:
\[ \text{Normal Force} = \text{Maximum Tooth Pressure} \times \sin(\text{Pressure Angle of Gear}) \]
Where:
The Normal Force on Gear Shaft is the force which is normal to the shear force acting on the gear shaft.
Let's assume the following values:
Using the formula:
\[ \text{Normal Force} = 14 \times \sin(0.55850536063808) \]
Evaluating:
\[ \text{Normal Force} = 7.41886969926362 \text{ N} \]
The Normal Force on Gear Shaft is 7.41886969926362 N.
| Maximum Tooth Pressure (N) | Pressure Angle of Gear (rad) | Normal Force (N) |
|---|---|---|
| 10 | 0.1 | 0.998334166468 |
| 10 | 0.2 | 1.986693307951 |
| 10 | 0.3 | 2.955202066613 |
| 10 | 0.4 | 3.894183423087 |
| 10 | 0.5 | 4.794255386042 |
| 10 | 0.6 | 5.646424733950 |
| 10 | 0.7 | 6.442176872377 |
| 10 | 0.8 | 7.173560908995 |
| 10 | 0.9 | 7.833269096275 |
| 10 | 1 | 8.414709848079 |
| 20 | 0.1 | 1.996668332937 |
| 20 | 0.2 | 3.973386615901 |
| 20 | 0.3 | 5.910404133227 |
| 20 | 0.4 | 7.788366846173 |
| 20 | 0.5 | 9.588510772084 |
| 20 | 0.6 | 11.292849467901 |
| 20 | 0.7 | 12.884353744754 |
| 20 | 0.8 | 14.347121817991 |
| 20 | 0.9 | 15.666538192550 |
| 20 | 1 | 16.829419696158 |
| 30 | 0.1 | 2.995002499405 |
| 30 | 0.2 | 5.960079923852 |
| 30 | 0.3 | 8.865606199840 |
| 30 | 0.4 | 11.682550269260 |
| 30 | 0.5 | 14.382766158126 |
| 30 | 0.6 | 16.939274201851 |
| 30 | 0.7 | 19.326530617131 |
| 30 | 0.8 | 21.520682726986 |
| 30 | 0.9 | 23.499807288825 |
| 30 | 1 | 25.244129544237 |
| 40 | 0.1 | 3.993336665873 |
| 40 | 0.2 | 7.946773231802 |
| 40 | 0.3 | 11.820808266454 |
| 40 | 0.4 | 15.576733692346 |
| 40 | 0.5 | 19.177021544168 |
| 40 | 0.6 | 22.585698935801 |
| 40 | 0.7 | 25.768707489508 |
| 40 | 0.8 | 28.694243635981 |
| 40 | 0.9 | 31.333076385099 |
| 40 | 1 | 33.658839392316 |
| 50 | 0.1 | 4.991670832341 |
| 50 | 0.2 | 9.933466539753 |
| 50 | 0.3 | 14.776010333067 |
| 50 | 0.4 | 19.470917115433 |
| 50 | 0.5 | 23.971276930210 |
| 50 | 0.6 | 28.232123669752 |
| 50 | 0.7 | 32.210884361885 |
| 50 | 0.8 | 35.867804544976 |
| 50 | 0.9 | 39.166345481374 |
| 50 | 1 | 42.073549240395 |
| 60 | 0.1 | 5.990004998810 |
| 60 | 0.2 | 11.920159847704 |
| 60 | 0.3 | 17.731212399680 |
| 60 | 0.4 | 23.365100538519 |
| 60 | 0.5 | 28.765532316252 |
| 60 | 0.6 | 33.878548403702 |
| 60 | 0.7 | 38.653061234262 |
| 60 | 0.8 | 43.041365453971 |
| 60 | 0.9 | 46.999614577649 |
| 60 | 1 | 50.488259088474 |
| 70 | 0.1 | 6.988339165278 |
| 70 | 0.2 | 13.906853155654 |
| 70 | 0.3 | 20.686414466294 |
| 70 | 0.4 | 27.259283961606 |
| 70 | 0.5 | 33.559787702294 |
| 70 | 0.6 | 39.524973137653 |
| 70 | 0.7 | 45.095238106638 |
| 70 | 0.8 | 50.214926362967 |
| 70 | 0.9 | 54.832883673924 |
| 70 | 1 | 58.902968936553 |
| 80 | 0.1 | 7.986673331746 |
| 80 | 0.2 | 15.893546463605 |
| 80 | 0.3 | 23.641616532907 |
| 80 | 0.4 | 31.153467384692 |
| 80 | 0.5 | 38.354043088336 |
| 80 | 0.6 | 45.171397871603 |
| 80 | 0.7 | 51.537414979015 |
| 80 | 0.8 | 57.388487271962 |
| 80 | 0.9 | 62.666152770199 |
| 80 | 1 | 67.317678784632 |
| 90 | 0.1 | 8.985007498215 |
| 90 | 0.2 | 17.880239771556 |
| 90 | 0.3 | 26.596818599521 |
| 90 | 0.4 | 35.047650807779 |
| 90 | 0.5 | 43.148298474378 |
| 90 | 0.6 | 50.817822605553 |
| 90 | 0.7 | 57.979591851392 |
| 90 | 0.8 | 64.562048180957 |
| 90 | 0.9 | 70.499421866474 |
| 90 | 1 | 75.732388632711 |
| 100 | 0.1 | 9.983341664683 |
| 100 | 0.2 | 19.866933079506 |
| 100 | 0.3 | 29.552020666134 |
| 100 | 0.4 | 38.941834230865 |
| 100 | 0.5 | 47.942553860420 |
| 100 | 0.6 | 56.464247339504 |
| 100 | 0.7 | 64.421768723769 |
| 100 | 0.8 | 71.735609089952 |
| 100 | 0.9 | 78.332690962748 |
| 100 | 1 | 84.147098480790 |