contributor author | Yeong‐Bin Yang | |
contributor author | Shyh‐Rong Kuo | |
date accessioned | 2017-05-08T20:52:32Z | |
date available | 2017-05-08T20:52:32Z | |
date copyright | June 1987 | |
date issued | 1987 | |
identifier other | %28asce%290733-9445%281987%29113%3A6%281185%29.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/30090 | |
description abstract | This paper intends to derive the nonlinear differential equations of equilibrium for a horizontally curved I‐beam. Based on the principle of virtual displacements, the equilibrium of a bar is established for its deformed or buckled configuration using a Lagrangian approach. Central to the consideration of the effect of curvature is the expression of various quantities in cylindrical coordinates and the incorporation of radial stresses in the virtual work statement. The governing differential equations are obtained for the curved beam as the Euler‐Lagrange equations of the functional using a variational procedure. Rationality of the present theory is demonstrated for some typical examples, where the sources of errors in existing theories are traced. Also illustrated is the inconsistency involved in a conventional finite element analysis in which a curved beam is represented by several straight beam elements. | |
publisher | American Society of Civil Engineers | |
title | Effect of Curvature on Stability of Curved Beams | |
type | Journal Paper | |
journal volume | 113 | |
journal issue | 6 | |
journal title | Journal of Structural Engineering | |
identifier doi | 10.1061/(ASCE)0733-9445(1987)113:6(1185) | |
tree | Journal of Structural Engineering:;1987:;Volume ( 113 ):;issue: 006 | |
contenttype | Fulltext | |