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Table 11 Lift-off points \({x}_{1}\,{\text{ and }}\,{x}_{2}\) at \(q ={q}_{4}\) for various \(N\) The exact value \({x}_{1}=0.104030928\, {\text{and }}\,{x}_{2}=0.895969072\)

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

\(N\)

\({x}_{1}\)

\({x}_{2}\)

7

\(0.112583071\)

\(0.8942908347\)

8

\(0.1158445179\)

\(0.8972961009\)

9

\(0.1048439443\)

\(0.8945482671\)

10

\(0.1045830548\)

\(0.8946845233\)

11

\(0.1041499674\)

\(0.8960036337\)

12

\(0.1042748392\)

\(0.8960353434\)

13

\(0.104013592\)

\(0.8960037529\)

14

\(0.1038406193\)

\(0.8959776461\)

15

\(0.1040145457\)

\(0.89597103\)