Effect of Curvature on Nonlinear Frame Analysis

by Mike E. James, Jr., (M.ASCE), Asst. Prof. of Civ. Engrg.; Texas A&M Univ., College Station, TX,
Thomas J. Kozik, Prof. of Mech. Engrg.; Texas A&M Univ., College Station, TX,
Jose E. Martinez, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Texas A&M Univ., College Station, TX,


Serial Information: Journal of the Structural Division, 1974, Vol. 100, Issue 7, Pg. 1451-1457


Document Type: Journal Paper

Abstract: A general curvature expression for beams and frames subjected to arbitrary rotations is developed and employed in the matrix displacement method of analysis. This formulation is compared with three other formulations utilizing: (1) linear curvature; (2) nonlinear curvature as used in elementary mechanics; and (3) small strain large displacement curvature. This study shows that for moderate rotations the formulation utilizing linear curvature is a reasonable approximation of the more sophisticated nonlinear expression.

Subject Headings: Curvature | Frames | Rotation | Displacement (mechanics) | Linear functions | Beams | Arbitration | Matrix (mathematics)

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