How Do You Calculate Cam Dimensions for Optimal Rod Travel?

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    Cam Dimensions
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Discussion Overview

The discussion revolves around calculating the dimensions of a cam for optimal rod travel in a mechanical system. Participants explore the relationship between the dimensions of the cam and the travel of connecting rods, considering both theoretical and practical implications of their designs.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that the length of dimension "a" should be half the travel of rod "c," but acknowledges that the pivoting of rod "b" complicates the calculation.
  • Another participant calculates the maximum and minimum positions of rod "c" based on the orientation of cam "a," concluding that the travel is dependent on the position of "a" and the lengths involved.
  • A third participant agrees that when the axle is aligned with the piston, the cam dimension "a" should be half the desired travel, providing specific measurements for clarity.
  • However, a later reply emphasizes that the Pythagorean theorem is necessary when the axle is not aligned with the cylinder, indicating that the relationship is more complex than initially stated.

Areas of Agreement / Disagreement

Participants generally agree that the dimension "a" is related to the travel of rod "c," but there are differing views on how the alignment of the axle affects the calculations. The discussion remains unresolved regarding the exact implications of the axle's position on the calculations.

Contextual Notes

There are limitations in the assumptions made about the alignment of the axle and the pivoting of the rods, which may affect the accuracy of the calculations. The discussion also highlights the need for further clarification on the application of the Pythagorean theorem in this context.

Chantry09
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Hi,

Im trying to work out the dimensions of the offset on a cam for a project. I know the travel of rod c, as well as the length of the connecting rod b, but I am not sure what the lenth of dimension a should be. I know this is probably simple maths (just pythagoras?) but I need to make sure I get the full travel out of rod c with full 360 degree rotation on the axel.

It would normally be very simple (a = 0.5 x travel of rod c), but it is the fact that rod b is allowed to pivot around the joint to rod c makes it a bit more confusing.

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c will be highest when a is pointing directly upward. At that position, the distance from the Axle to the tip of c is b+ c- a= 1.5- a. c will be lowest when a is pointing directly downward. At that position, the distance from the Axle to the tip of c is a+ b+ c= a+ 1.5. The distance between those, the "travel" is a+1.5- (1.5- a)= 2a. You want a equal to 1/2 the travel just as you said. The fact that b pivots changes the speed with which c travels but not the distance.
 
As long as the axel is in line with the piston, the cam "a" needs to be half the length of the travel desired at the piston. Therefore, since the cylinder travel is 3/4 units, the cam should be 3/8 units.

The Pythagorean theorem comes into play when the axel is NOT in line with the cylinder.
 
HallsofIvy said:
c will be highest when a is pointing directly upward.\

... unless the axle is not in line with the cylinder. In that case (in fact, in all cases), cylinder "C" will be highest when the pivot point connecting cam "A" and rod "B" is in a position such that the axle is directly between that pivot point and the joint between rod "B" and cylinder "C"
 

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