Open Access Open Access  Restricted Access Subscription or Fee Access

The Curvature Effect consideration in Euler beam theory

kishan haresh bhai joshi, Chetankumar M Patel


The purpose of this paper is to improve the results of Euler beam theory. Euler beam theory can be used to determine the deflection of beam. But in some cases cross section of beam is not flat-ended, and Euler beam theory only consider the vertical loading, so the effect of curvature is occurred due to normal loading. The method to determine the curvature effect has been developed in this paper, and verified with the software simulation.

Full Text:



Kishan, J., Chetankumar, P.: Development of Analytical method to determine the deflection of tapered cantilever beam with inclined loading condition using software simulation. International Conference on Information Technology for Sustainable Development. ICT4SD.(2015) 2. Erasmo, C., Gaetano, G., and Marco, P.: Beam Structures Classical and Advanced Theories. A John Wiley & Sons, Ltd., Publication (2011) 3. Ferdinand, P., Russell, J., John, T.: MECHANICS OF MATERIAL. The McGraw-Hill Companies. (2008) 4. Malukhin, K., Hankyu S., and Kornel, E.: A shape memory alloy based tool clamping device. Journal of Materials Processing Technology 212.4:735-744(2012) 5. Farid, C., Salah, D., Kamel, F., Abderrahim, B.: Tapered Beam Axial Vibration Frequency: Linear Cross-Area Variation Case. APCBEE Procedia 9: 323 – 327 (2014) 6. Frieman, Z., Kosmatka, J.: Exact stiffness matrix of a non-uniform beam extension, torsion and bending of a Bernoulli-Euler beam. Computers and Structures 42: 671-682. (1992) 7. Al-Gahtani, H., Khan, S.: Exact Analysis of Nonprismatic Beams. Journal of Engineering Mechanics 124:1290-1293(1998) 8. Shooshtari, A., Khajavi, R.: An efficient procedure to find shape functions and stiffness matrices of nonprismatic EulereBernoulli and Timoshenko beam elements. European Journal of Mechanics A/Solids 29:826-836(2010) 9. Reza, A.: Basic displacement functions in analysis of nonprismatic beams. Engineering Computations:International Journal for Computer-Aided Engineering and Software 27. 6:733-745(2010)


  • There are currently no refbacks.