MecMovies 4.0 : M6.24: Indeterminate Gear Mechanism

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Chapter 6: Torsion
M6.24: Indeterminate Gear Mechanism

Geometry of Deformation

State the Problem
Table of Contents
Observe the Deformation
Plan the Solution
Review Sign Conventions
Equilibrium Equations
Geometry of Deformation
Torque-Twist Relationships
Compatibility Equation
Solving for T₂ and T₁
Shear Stresses in Shafts (2)
Rotation Angle of Gear A
Finished

scene 7 of 13

Diagram shows two vertical shafts A B marked 1 and C D marked 2 centered on the x and x prime axes respectively. A gear of 150 millimeter diameter is at A on shaft 1 at a height of 400 millimeters. A gear of 100 millimeter diameter is at C on shaft 2 at a height of 400 millimeters. Above the gear A a torque T is applied on shaft 1 in the counterclockwise direction. The section on gear A is theta subscript A pointing in the counterclockwise direction. The section on gear C is theta subscript C pointing in the clockwise direction.

Substituting

and

into

yields:

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