Two finite element (FEM) models are presented in

\r\nthis paper to address the random nature of the response of glued

\r\ntimber structures made of wood segments with variable elastic

\r\nmoduli evaluated from 3600 indentation measurements. This total

\r\ndatabase served to create the same number of ensembles as was the

\r\nnumber of segments in the tested beam. Statistics of these ensembles

\r\nwere then assigned to given segments of beams and the Latin

\r\nHypercube Sampling (LHS) method was called to perform 100

\r\nsimulations resulting into the ensemble of 100 deflections subjected

\r\nto statistical evaluation. Here, a detailed geometrical arrangement of

\r\nindividual segments in the laminated beam was considered in the

\r\nconstruction of two-dimensional FEM model subjected to in fourpoint

\r\nbending to comply with the laboratory tests. Since laboratory

\r\nmeasurements of local elastic moduli may in general suffer from a

\r\nsignificant experimental error, it appears advantageous to exploit the

\r\nfull scale measurements of timber beams, i.e. deflections, to improve

\r\ntheir prior distributions with the help of the Bayesian statistical

\r\nmethod. This, however, requires an efficient computational model

\r\nwhen simulating the laboratory tests numerically. To this end, a

\r\nsimplified model based on Mindlin’s beam theory was established.

\r\nThe improved posterior distributions show that the most significant

\r\nchange of the Young’s modulus distribution takes place in laminae in

\r\nthe most strained zones, i.e. in the top and bottom layers within the

\r\nbeam center region. Posterior distributions of moduli of elasticity

\r\nwere subsequently utilized in the 2D FEM model and compared with

\r\nthe original simulations.<\/p>\r\n","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 101, 2015"}