The Additional Deflection of a Cantilever Due to the Elasticity of the Support

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Abstract
A beam is cantilevered from a semi-infinite solid with neutral axis normal to its bounding plane (two-dimensional problem). Deformation of the supporting solid allows the beam to rotate about the built-in end, producing a deflection in addition to that caused by bending and shear in the beam itself. Results of tests designed to measure this additional deflection are presented and compared with various theoretical values. Calculated deflections, based on classical bending and shear-deflection theory, are also compared with measured deflections. An experimentally verified expression for the additional deflection of a cantilever due to the elasticity of the support is given.

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