Manual of Gear Design: Helical and Spiral Gears, Volume III

GIVEN THE HELIX ANGLE, PRESSURE ANGLE IN PLANE OF ROTATION, AND THE TOOTH LOAD FOR A PAIR OF HELICAL GEARS, TO DETERMINE THE END THRUST AND THE BEARING LOAD.
WHEN,
? = HELIX ANGLE
? = PRESSURE ANGLE IN PLANE OF ROTATION
W = TANGENTIAL TOOTH LOAD AT PITCH LINE, LBS.
W t = END THRUST, LBS.
W i = BEARING LOAD, LBS.
THEN,
EXAMPLE:
| W = 1000 LBS | ? = 20 | ? = 30 | COS ? = .93969 | TAN ? = .57735 |
THE BEARING LOAD AND THE END THRUST MAY ALSO BE DETERMINED GRAPHICALLY AS SHOWN BY THE FOLLOWING ILLUSTRATION.

GIVEN THE HELIX ANGLE, PRESSURE ANGLE IN PLANE OF ROTATION, AND THE TOOTH LOAD FOR A TRAIN OF THREE HELICAL GEARS WHOSE CENTERS LIE IN A STRAIGHT LINE, TO DETERMINE THE END THRUSTS AND BEARING LOADS.
WHEN,
? = HELIX ANGLE
? = PRESSURE ANGLE IN PLANE OF ROTATION
W = TANGENTIAL TOOTH LOAD AT PITCH LINE, LBS.
W t1 = END THRUST ON DRIVING GEAR, LBS.
W t2 = END THRUST ON INTERMEDIATE GEAR, LBS.
W t3 = END THRUST ON DRIVEN GEAR, LBS.
W i 1 = BEARING LOAD OF DRIVING GEAR, LBS.
W i 2 = BEARING LOAD OF INTERMEDIATE GEAR, LBS.
W i 3 = BEARING LOAD OF DRIVEN GEAR, LBS.
THEN,
| EXAMPLE, | W = 1000 LBS | ? = 20 | ? |