The Numerical Simulation of Exact Euler Load about Stability of Compressed Bar Based on Matlab

Abstract:

The relationship between the critical load and maxiumum deflection is established by applying numerical method to solve the curvature exact differential eqation of the buckled bar which fixed at base side and free at the upper side, the numerical values show that the critical load calculated through the approximate Eular formula is rather precise in a slight bent form. The numerical values give the stability stress and strength stress which can help to understand the stability calculation and strength calculation is completely difference.

• Periodical: Advanced Materials Research (Volumes 268-270)
• Pages: 2158-2162
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.268-270.2158
• Online since: July 2011
• Authors: Jiu Hong Jiang, Ruo Yan Zhu
• Keywords: Critical Load, Euler Formula, Exact Euler Load, Stability of Compressed Bar

References

[1] Stephen. P Timoshenko. Theory of elastic stability. 1963, Chapter 2, 70~90.

[2] Liu Hongwen. Mechanics of material. High education publish company, 2007(in Chinese).

[3] Lin Yining. Analyzing the error of Euler formula about stability of the compressed bar. Construction security 2007; 11: 21-23(in Chinese).

[4] Liu Hongwen. High Mechanics of material. High education publish company, 1985(in Chinese).