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Official Journal of the Japan Wood Research Society

Table 2 Dimensions of the main body and the end portion of the circular truncated cones

From: Measuring density and Young’s modulus of a log through the vibration test without measuring its weight

Cutting butt end (End portion: \(0\le x\le al\))

 

Main body

End portion

Butt end radius

ral

r1

Top end radius

r2

ral

Length

bl

al

Cutting top end (End portion: al \(\le x\le l\))

 

Main body

End portion

Butt end radius

r1

ral

Top end radius

ral

r2

Length

al

bl

  1. \({r}_{al}=\left\{\left(k-1\right)a+1\right\}{r}_{1}\)=\(\left\{\left(1-k\right)b+k\right\}{r}_{1}\)