Experimental Mechanics

, Volume 5, Issue 4, pp 115–119 | Cite as

Anticlastic action of flat sheets in bending

Analytical expressions for the stresses in bent elastic strips are obtained and found to agree very well with experimental results
  • H. D. Conway
  • W. E. Nickola
Article

Abstract

A theoretical analysis is made of the stresses induced in thin elastic strips which are bent (by uniform bending moments) into arcs with substantially constant radii of curvatures. Stresses determined experimentally on aluminum and steel strips agree very well with the theory.

Keywords

Aluminum Mechanical Engineer Fluid Dynamics Theoretical Analysis Steel Strip 

List of Symbols

e

strain

h

strip thickness

l

strip width

w

strip deflection

x

coordinate axis in direction of strip length

y

coordinate axis in direction of strip width

z

coordinate axis in direction of strip thickness

D

flexural rigidity of stripEh3/12(1 - ν2)

E

Young's modulus

ν

Poisson's ratio

I

moment of inertia of strip cross section

M

bending moment

R

radius of curvature

S

span of strip

α

βl/2

β

(\((Eh/4R^2 D)^{1/4} = [3(1 - v^2 )/R^2 h^2 ]^{1/4} \))

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References

  1. 1.
    Lamb, H., “On the Flexure of a Flat Elastic Spring,”Philosophical Mag., Series 5, 31, 182 (1891).MATHGoogle Scholar
  2. 2.
    Timoshenko and Woinowsky-Krieger, “Theory of Plates and Shells,” McGraw-Hill Book Co., Inc., Chapter 15, 466 (1959).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1965

Authors and Affiliations

  • H. D. Conway
    • 1
    • 2
  • W. E. Nickola
    • 3
  1. 1.Cornell UniversityEndicott
  2. 2.IBM Corp.Endicott
  3. 3.Advanced Chemical Analysis Dept.IBM Corp.Endicott

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