Presently existing strength of materials solutions for stresses in curved beams use an incorrect normal force equilibrium condition to define neutral axis location, and to reach a simplified solution, which neglects the curvature effect on stresses due to normal force. This article presents a new but a most general form of the strength of materials solution for determining tangential normal stresses in curved beams, including reductions to special cases. The neutral axis phenomenon is clarified and experimentally verified. Several numerical examples are included, some of which offer photoelastic experimental results, where results predicted by the exact elasticity solution, method of the article, Winkler’s theory, and the conventional simplified method are compared. The hook, diametrically loaded cut, and full ring applications are included. It is shown that simplified theory leads to very large errors. Results by the method offered are very reliable with small errors which are comparable with those of exact elasticity solutions. Stress and deflection analyses of curved beams with varying thicknesses of cross-sections by exact elasticity solutions are given in a separate article [6].
Skip Nav Destination
Article navigation
June 1992
Research Papers
A New Unified Strength of Materials Solution for Stresses in Curved Beams and Rings
C. Bagci
C. Bagci
Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505-5014
Search for other works by this author on:
C. Bagci
Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505-5014
J. Mech. Des. Jun 1992, 114(2): 231-237 (7 pages)
Published Online: June 1, 1992
Article history
Received:
January 1, 1987
Online:
June 2, 2008
Citation
Bagci, C. (June 1, 1992). "A New Unified Strength of Materials Solution for Stresses in Curved Beams and Rings." ASME. J. Mech. Des. June 1992; 114(2): 231–237. https://doi.org/10.1115/1.2916936
Download citation file:
Get Email Alerts
Cited By
Related Articles
An Accurate Singularity-Free Formulation of a Three-Dimensional Curved Euler–Bernoulli Beam for Flexible Multibody Dynamic Analysis
J. Vib. Acoust (October,2016)
Discussion: “Common Errors on Mapping of Nonelliptic Curves in Anisotropic Elasticity” (Ting, T. C. T., 2000, ASME J. Appl. Mech., 67, pp. 655–657)
J. Appl. Mech (July,2001)
Common Errors on Mapping of Nonelliptic Curves in Anisotropic Elasticity
J. Appl. Mech (December,2000)
A Sixth-Order Theory of Shear Deformable Beams With Variational Consistent Boundary Conditions
J. Appl. Mech (March,2011)
Related Proceedings Papers
Related Chapters
Mechanics of Materials
Engineering Practice with Oilfield and Drilling Applications
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
Understanding the Problem
Design and Application of the Worm Gear