Influence of Dispersion in Mechanical Properties of Structural Steel on the Moment ?` Rotation Relation at the End of H -beams

Abstract

Relations between noment(M) and rotation(θ) at the end of the beams with H shape section are calculated by numerical integration, where the dispersion in mechanical properties is considered on the basis of statistical data. By application of Monte-Carlo method yield strengths and tensile strengths of steel are generated. Referring to the standardized stress-strain curves moment(M)- curvature (θ) relations are calculated. By use of the results M-θ relation can be obtained. As the results, it is concluded that the secondary and the thirdly gradients of M-θ curve are strongly influenced by dispersion of of the yield ratio of steel.