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Torsion Constant - Cross Arms

There is no exact formula to calculate the Torsion Constant of a rectangular object however there is an approximation given in by the following formula: 


As an example consider a cross arm that is 2m long, 0.1m wide and 0.2m deep. The long side is 0.2m and hence a = 0.2m, b = 0.1m. Solving the torsion constant gives:



This is the same result calculated by clicking on Derive assuming rectangular cross section