elasticity based stress solution of curved bar under pure bending and its numerical validation

Suhas Ankalkhope,Nilesh Jadhav,Dr.Sunil Bhat

Published in International Journal of Advanced Research in Mechanical and Production Engineering and Development

ISSN: 2320-7256          Impact Factor:1.398         Volume:1         Issue:1         Year: 08 June,2013         Pages:19-23

International Journal of Advanced Research in Mechanical and Production Engineering and Development

Abstract

In this paper, stress in curved bar under pure bending is estimated from the principles of elasticity. It is the case of axi-symmetry. Tangential and radial stress distribution is found analytically using Airy‟s stress function in polar coordinates and with the help of necessary boundary conditions. The curved bar is numerically modelled by finite element analysis. Variation of stress values with radius is obtained. Theoretical and numerical results are in excellent agreement with each other

Kewords

In this paper, stress in curved bar under pure bending is estimated from the principles of elasticity. It is the case of axi-symmetry. Tangential and

Reference

1. “Solid mechanics and its applications” by J.R. Barber, University of Michigan, Ann Arbor, U.S.A. 2nd Edition. 2. Fracture Mechanics by Nestor Perez, University of Puerto Rico, 2004 Kluwer Academic Publishers. 3. Applied Elasticity by T.G.Sitharam and L Govinda Raju, Interline Publishing. 4. Principle of solid Mechanics by Rowland Richards, Jr., CRC Press. 5. Mechanics of material by Dr. Ibrahim A Assakkaf, University of Maryland, College Park, 2003. 6. BENDING OF MULTILAYERED CURVED BARS by K. H. Lo & H. D. CONWAY