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Chapter 6: Torsion
M6.13: Two Shafts Connected by Gears
Accounting for Gear Rotation
State the Problem
Plan the Solution
Table of Contents
Review Sign Conventions
Compute Torques
Torques in Shafts (1) and (2)
Compute Shear Stresses
Compute Angles of Twists in Shafts (1) and (2)
Compute Rotation Angle at D
Accounting for Gear Rotation
Show Gear Rotations
Finished
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Diagram shows two shafts A B and C D of 35 millimeter diameter and 300 millimeter and 900 millimeter respectively, are connected using two gears, B with 100 millimeter diameter and C with 200 millimeter diameter. The angular displacement on gear with 100 millimeter diameter is phi subscript B. A torque T is applied at the end of C D at D. Parameters: d = 35 millimeter, G = 80 gega Pascal, T = 685 Newton meter.
In response to the rotation of gear
B
, gear
C
rotates as shown.
Notice that gear
C
turns in the opposite direction from gear
B
.
