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Mathematics of the Slider Cranks >
3.  Offset Slider Cranks:  C04, D01

There are many variations of the slider crank. The most common is to have the slider B constrained to move along a straight line that does not contain C. This is called the off-set slider crank. See the following two figures of C04 and D01

C04  
D01

Now, similar to analysis in 1. Generic Slider Crank before, we obtain:  ,  where d = DD’ is the distance of C from the straight line constraint for the slider.

 

Also, notice that  (***)  .

 

By the Pythagorean Theorem,  .  Thus,

(****)       .

 

The offset slider crank can have the same four inversions depending on which part of the mechanism is held fixed.

 

Go to:

1. Generic Slider Crank (C02

2. Inversions of the Slider Crank (C02, C05, D2

4. Topological Extensions of the Slider Crank (D14, D07, D08, C06

 


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