I understand the practical aspects but I cant get the relevant maths to tally,

thanks I post the qu. when I know where to post .

I understand the practical aspects but I cant get the relevant maths to tally,

thanks I post the qu. when I know where to post .

when bending the wood the outside surface is totally restricted from expanding by the green strap with end blocks . so as the wood bend the inside surface is compressed. the force to compress the wood is a constant . a value i have practically tested. the strap has a tension gauge at G. so i know the tension force being exerted within the restraining strap.

It seems logical that the force in the strap should be equal to the compression constant x area,

However the the force within the strap is far less than this figure , only about 30% . can anyone explain where the force is coming from to compress quite a the timber without an equal and opposite force on the strap. ( without he strap the timber would break across the outer surface as it is relatively weak in tension.)

Only if the questions are appropriate for that forum and it's not a duplicate.is it ok to post in more than one forum area ?

but if anyone is a little intrigued by the topic then a look at the maths in 'the mechanics of bending wood ' page 31 on the link below may help in forming an answer to my issue.

As said previously I am not a mathematician but still need help with what seems to be an anomaly . but it cant be ...some how the physics of what is happening must be able to be explained . Only then can I improve the bending machine and successful bends.

https://www.fpl.fs.fed.us/documnts/usda/ah125.pdf

the board is approx 1" thick . the distance between the point of contact of the wood and the former starts at 50 " but reduces as the wood is bent around the former. so if my understanding is correct there is about a 50 : 1 MA with the point on the strap vertically above the point of contact with the former acting as the fulcrum point.

The comprehensive force required to compress oak is 6720 psi this is reduced by approx 30% when steamed so approx 4700 psi x10 for the board width = 47000lbs.

The max load detected in the gauge in the steel strap is 7000lb. nothing near 47000.

This is the anomaly I question , the wood does bend and it does compress , so 47000lb is being exerted but the rule of equal and opposite reaction doesn't seem tie up,

Any thoughts as to what I am missing here ?

While I don't have a full answer, what I think is happening is that since the compression isn't even over the whole cross section (10 x 1 inch), the psi will be less. The outer part of the bend has no compression at all, only the innermost part has the maximum compression, so the result must be somewhere between 0 and 47000lbs.

I have tried compressing a sample and as soon as it starts compressing the gauge stops rising however much more the 'screw is turned ' so to speak

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