6533b7ddfe1ef96bd1273c9f

RESEARCH PRODUCT

Buckling of Elastic Beam Under Unilateral Constraint

subject

description

ABSTRACT A criterion is proposed to calculate the critical load of a continuous beam under unilateral constraint. The beam is assumed to be built in at the ends and to rest on equally spaced elastic supports, that have equal stiffness. The problem is solved by determining the length of the half-wave of the buckled shape, the number of supports involved, and their position with respect to the end of the half-wave. The analysis model thus defined is determined in relation to the geometry of the beam and to the ratio between the stiffness of the supports and the shearing stiffness of the generic span. It is shown that there exists a limiting value of this ratio, below which the critical load is unaffected by the presence of unilateral constraints. The results obtained are shown in a nondi-mensional diagram that is of practical value. Two examples are presented to illustrate applicability of the procedure proposed.