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Table 4 Rayleigh–Ritz convergence of contact length \({x}_{1}\) at \(q ={q}_{1}\) for various N

From: Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations

Iteration number

\({x}_{1}(N =7)\)

\({x}_{1}(N =6)\)

\({x}_{1}(N =5)\)

0 (initial guess)

\(1.0\)

1.0

1.0

1

\(0.5\)

\(0.5\)

\(0.5\)

2

\(0.462398107\)

\(0.461777190\)

\(0.461552264\)

3

\(0.461080697\)

\(0.460416937\)

\(0.460193392\)

4

\(0.461079117\)

\(0.460415253\)

\(0.460191732\)

5

\(0.461079117\)

\(0.460415253\)

\(0.460191732\)

6 (convergence)

\(0.461079117\)

\(0.460415253\)

\(0.460191732\)