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David Humphries
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Thanks David. Very interesting indeed. 11% on the compression side of the stem is not a lot but as you say has been heavily reduced. All we need now is for someone to do a PhD on the t/R ratio of reduced trees and come up with a new safety margin. I'm not putting my hand up though😉

 

Jake Andrews

 

No need, the information is already out there. It is explained by the 'tree statics model'.

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Just thinking out loud here (or thinking online as it were) but it seems to me there is quite a gap in the knowledge of the transition between a hollow stem where a t/R can be calculated and a tree where it has started to separate into semi autonomous functional units.

 

As the functional units separate then the residual wall at many points becomes 0, yet the tree could be perfectly stable.

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Just thinking out loud here (or thinking online as it were) but it seems to me there is quite a gap in the knowledge of the transition between a hollow stem where a t/R can be calculated and a tree where it has started to separate into semi autonomous functional units.

 

As the functional units separate then the residual wall at many points becomes 0, yet the tree could be perfectly stable.

 

Would this not be calculated as an open cavity?

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Just thinking out loud here (or thinking online as it were) but it seems to me there is quite a gap in the knowledge of the transition between a hollow stem where a t/R can be calculated and a tree where it has started to separate into semi autonomous functional units.

 

As the functional units separate then the residual wall at many points becomes 0, yet the tree could be perfectly stable.

 

Hi Alasadir,

 

I hope all is good with you.

 

You are quite right regarding the issue of semi autonomous units. The tree statics model is based on the wood failure in compression (wood is weakest in compression).

 

Strength loss can be calculated using section modulus (the distribution of the material) where gaps (open cavities) in the residual wall are incorporated into the calculation.

 

However, the model does not allow for sheer failure or torsional failure. It is worth noting that a lot more force is required for a wood to fail in sheer as opposed to compression. That said, the risk of sheer is increased when the residual wall is below t/R 0.1 (10%) because the stem/cylinder can separate into semi autonomous units which start moving independently of each other e.g the tension side vs the compression side.

 

I hope this makes sense?

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