A purpose of the invention is to provide a kind of method, analyze non-linearity flexure Euler-Bernoulli beams apply discontinuous elastic foundation can analyze Euler-Bernoulli beams deflection simultaneously Euler-Bernoulli beams be placed on footing of a pillar by many different materials. According to this method, the Euler-Bernoulli beams for analyzing non-linearity flexure apply discontinuous elastic foundation, and U_ n+1 () (X-axis)=pi (X-axis)+lamda [u_n (X-axis)] is repeatedly by the deflection of the calculated EId^4u/dx^4+f of following formula (u, x)=w (X-axis) which status representative Euler-Bernoulli beam downwards by amplitude u (X-axis) due to external weight. Therefore, the deflection of Euler-Bernoulli beams can analyze and meanwhile on Euler-Bernoulli beams place footing of a pillar which be by many different materials. ;The 2016 of copyright KIPO submissions
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