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3-point bending test procedure for obtaining flexural and shear modulus

In the case of orthotropic materials like wood or composites, transverse shear has an effect on the modulus determination by bending tests. A procedure based on three-point bending is proposed. The experimental data required are the load and displacement given by the testing machine. The novelties of the proposal are:

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Vector triple product

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On the sign of shear stresses in the Mohr's circle

Usually, the position of points in Mohr's circle is attributed to a sign convetion related to shear stresses. It is shown that points in the circle related to shear stresses generating a clockwise moment are in the upper half of the circle as a consequence of the position of principal directions, not due to a convention. I hope this note could help to explain better the use of Mohr's circle in plane stress states.

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