Analytical model for uniaxial compressive behavior of timber columns with longitudinal cracking, with and without retrofitting solutions.

Two simple analytical models are developed with Matlab to predict the mid-lateral displacement of cracked, un-cracked or retrofitted timber columns. In the models are considered the presence of retrofitting elements with high modulus of elasticity, like: carbon, glass, pbo fibres with different spacing, and how those elements influencing the mid-lateral displacement. The first model is based on the "displacement method analysis for frame" and the second one is based on a "frame stability analysis by finite element method". The results obtained with these models is useful to determine the maximum length that a vertical crack can have before is necessary a retrofitting action in a timber column.