The Numerical Simulation of Exact Euler Load about Stability of Compressed Bar Based on Matlab
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.
J. H. Jiang and R. Y. Zhu, "The Numerical Simulation of Exact Euler Load about Stability of Compressed Bar Based on Matlab", Advanced Materials Research, Vols. 268-270, pp. 2158-2162, 2011