Distortion of U-Channel Sections in Plastic Bending

Author:

Stelson K. A.1,Kramer A.2

Affiliation:

1. Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455

2. Department of Mechanical Engineering, Technical University of Braunschweig, Braunschweig, Germany

Abstract

When a thin-walled U-channel section is plastically bent, considerable in-plane distortion occurs. The initially flat base of the U is deformed into a circular arc. The sides remain perpendicular to the base so that an angle between the sides develops. In this paper, an analytical expression for the amount of distortion is derived based on energy minimization. The expression is purely geometrical indicating that distortion should not depend on material properties. The theory is compared with fourpoint bending experiments of thin-walled channels, with good agreement found.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Reference15 articles.

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2. Fok W. C. , LuG., and SeahL. K., 1993, “A Simplified Approach to Buckling of Plain C Channels under Pure Bending,” Proc. Instn. Mech. Engrs., Vol. 207, pp. 255–263.

3. Hosford, W. F., and Caddell, P. M., 1983, Metal Forming: Mechanics and Metallurgy, Prentice-Hall, Englewood Cliffs, N.J.

4. von Karman T. , 1911, “Uber die Formanderung Dunnwandiger Rohre, insbesondere federnder Ausgleichsrohre,” Zeit. Ver. Deutsch. Ing., Vol. 55, pp. 1889–1895.

5. Li, H. Z., and Stelson, K. A., 1994, “Modelling of Thin-walled Tube Bending at Large Deformation,” Proceedings of the First S. M. Wu Symposium on Manufacturing Science, Northwestern University, Evanston, IL, May 28–29, pp. 237–246.

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