1971•Journal of the Engineering Mechanics DivisionRequires access

Lateral Stability of Nonuniform Cantilevers

Campbell Massey, Peter J. McGuire

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Abstract

The lateral stability of nonuniform cantilever beams is examined for loads applied through the centroid and either concentrated at the free end or uniformly distributed over the full length. Solutions are obtained by a numerical iterative method and a digital computer. The cases considered are uniformly tapering cantilevers of rectangular cross section, cantilevers of rectangular cross section with an abrupt change in sectional dimensions at some specific position along the length, and I-section cantilevers with an abrupt change in cross section. The predicted results are confirmed experimentally.

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What this paper is about

The lateral stability of nonuniform cantilever beams is examined for loads applied through the centroid and either concentrated at the free end or uniformly distributed over the full length. Solutions are obtained by a numerical iterative method and a digital computer. The cases considered are uniformly tapering cantilevers of rectangular cross section, cantilevers of rectangular cross section with an abrupt change in sectional dimensions at some specific position along the length, and I-section cantilevers with an abrupt change in cross section. The predicted results are confirmed experimentally.

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Available abstract

The lateral stability of nonuniform cantilever beams is examined for loads applied through the centroid and either concentrated at the free end or uniformly distributed over the full length. Solutions are obtained by a numerical iterative method and a digital computer. The cases considered are uniformly tapering cantilevers of rectangular cross section, cantilevers of rectangular cross section with an abrupt change in sectional dimensions at some specific position along the length, and I-section cantilevers with an abrupt change in cross section. The predicted results are confirmed experimentally.

Key concepts: Cantilever, Tapering, Position (finance), Cross section (physics), Stability (learning theory), Centroid, Section (typography), Materials science

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