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Tangent Cotangent Mechanism Design Equations and Calculator

Machine Design and Mechanics

Tangent Cotangent Mechanism Design Equations and Calculator

This is an example of a tangent cotangent slider mechanism for linear rack and pinion functions.

Preview: Tangent Cotangent Mechanism Design Calculator

Tangent Cotangent Mechanism Design Equations

Displacement in the x Axis Equation
x = C tan α
x = C cot β

Length of Arm Tangent Cotangent Mechanism Design Equations

C = x / tan α
C = x / cot β

Where:

x = length (in, mm)
C = length (in, mm)
α = angle (degrees)
β = angle (degrees)

Reference:
Handbook of Machining and Metal Working Calculations, Ron A. Walsh 2001
Forming and Forging Manual, ASM
Air Engines Theodor Finkelstein