Theory of Machine
The Klein's method of construction for reciprocating engine mechanism

Enables determination of Cariole’s component
Is based on acceleration diagram
Utilizes a quadrilateral similar to the diagram of mechanism for reciprocating engine
Is a simplified form of instantaneous center method

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
(l₁ + l₂ + l₃)/3
l₁ + l₂ + l₃

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