A bit of mathematics, or lateral thinking ...

Joined
20 Jun 2007
Messages
16,234
Location
Live in Kent, boat in Canary Islands
www.bavariayacht.info
This is the general layout of my 12V alternator belt, with the alternator pulley, Adjuster and Pivot on the right:

Alternator-Belt_zps01fac0f9.png~original


The belt is currently 975mm. If I increase it by 25mm to 1000m, my question is what will the movement be:

[1] Of the bolt along the adjuster
[2] Of the pulley centre to the right
 
If the adjuster arm is fixed (unlikely) then both A and P will change. If the adjuster arm changes angle at its pivot, A may stay in the same place if you want it to and P will change. No ??
 
Re. Question 2, if you regard the extra 25 mm. Of belt length as being shared equally between the two belt runs to and from the alternator then that's 12.5mm. Added to each run with the angle between the runs being (by my measurement) 40 degrees so that's 12.5 cosine 20 of movement along the centre line I.e. Ca. 11.7mm. That's slightly in error due to changes of belt wrap around the pulleys but those errors will be very small. Question 1 requires knowledge of more dimensions than are given. You could get an idea by physically adjusting the alt. pulley to be 12mm. CLOSER and seeing how much bolt movement that entailed. Not accurate but would give a ballpark figure.
 
The alternator pully will move 12.5mm further away from the other two pullies in an arc with a centre on the alternator pivot. Just redraw the diagram to measure the adjuster movement (easier than using trig to calculate)
 
The centre of the alternator can only rotate in a circle about P. If it rotates about 13mm then it will move vertically by only a couple of mm, meaning that the two parts of the belt pointing towards the alternator will both increase by about 13mm. I'd say your alternator will move out about half an inch in real money.
 
The centre of the alternator can only rotate in a circle about P. If it rotates about 13mm then it will move vertically by only a couple of mm, meaning that the two parts of the belt pointing towards the alternator will both increase by about 13mm. I'd say your alternator will move out about half an inch in real money.

Lateral thinking, good. In fact it may not move much at all vertically, as the pivot may be a bit more under the centre than my drawing.

I believe that if the alternator moves by, say, 13mm outwards, then the adjuster bolt will move more than this.
 
In a manufacturing environment where the next 200,000 units would be affected by the outcome it would be wise to work this out mathematically.
On a single boat with a single engine just fit the bugger.
 
I believe that if the alternator moves by, say, 13mm outwards, then the adjuster bolt will move more than this.

Yes it will. If your diagram is accurately to scale then, because the distance from P to A is slightly more than 1½ times the distance from P to the alternator centre, A will move slightly more than 1½ times the distance that the alternator centre moves.
 
Pivot point P to alternator is fixed length. Increasing the length of belt by 25mm will result in more of the 25mm being taken by the top section of the belt as the alternator swings to the right to take up the slack. It is all to do with angles but at a guess I would think more than ½" but less than ¾" to the right. (Pully cannot rise vertically as much as it can move to the right. as for the other bit - insufficient information - as LS said JFDI.
 
Top