The Open Mechanics Journal
2012, 6 : 14-21Published online 2012 October 19. DOI: 10.2174/1874158401206010014
Publisher ID: TOMECHJ-6-14
Derivation of the Bi-axial Bending, Compression and Shear Strengths of Timber Beams
Faculty of Civil Engineering
and Geosciences, Timber Structures and wood technology, TU Delft, P.O.
Box 5048, 2600 GA Delft The Netherlands.
ABSTRACT
The derivation is given of the combined bi-axial bending, compression and shear strength of timber beams. As for other materials the elastic–full plastic limit design approach applies, which is known to precisely explain and predict uniaxial bending strength behaviour.
The derivation is based on choosing the location of the neutral line. This provides the stress distribution in the beam cross section in the ultimate state for that case, making it possible to calculate the associated ultimate bending moments in both main directions and ultimate normal- and shear force. The derived general equations are simplified to possible elementary design equations, applicable for building regulation.