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This paper addresses the calibration of nonlocal beam models. The inverse problem associated with the nonlocal scale parameter is investigated. The analyses consider synthetic data obtained out of a Euler-Bernouli beam model that is built using the nonlocal elasticity theory of Eringen. 
The Bayesian framework is used to infer about model parameters using Markov Chain Monte Carlo methods. The Delayed Rejection Adapative Metropolis (DRAM) algorithm is used to sample the posterior density of model parameters.