Thick Rectangular Beams

by K. T. Sundara Raja Iyengar, (M.ASCE), Prof.; Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore, India,
K. Chandrashekhara, Assoc. Prof.; Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore, India,
V. K. Sebastian, Lect. in Civ. Engrg.; Coll. of Engrg., Trivandrum, India,


Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 6, Pg. 1277-1282


Document Type: Journal Paper

Abstract: Due to approximations inherent in the derivations, engineering theories for beams and plates are limited in their application to configurations having thicknesses much smaller than their other characteristic dimensions. This note presents a detailed application of the method of initial function (MIF) to beam problems. The formulation of the MIF is in a form that is particularly amenable to consistent reduction to obtain approximate theories of any desired order. Numerical results are presented for a long beam subjected to a symmetric central loading and for a clamped beam subjected to uniform load and are compared with other available results.

Subject Headings: Beams | Load factors | Approximation methods | Plates | Thickness | Numerical methods | Symmetry

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