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Table 8 Lift-off points \({x}_{1}\,{\text{ and }}\,{x}_{2}\) at \(q ={q}_{3}\) for various \(N\) The exact value \({x}_{1}=0.160090758\, {\text{and }}\, {x}_{2}=0.720646326\)

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

\(N\)

\({x}_{1}\)

\({x}_{2}\)

3

\(0.861781925\)

4

\(0.160526961\)

\(0.731332093\)

5

\(0.160613269\)

\(0.731275350\)

6

\(0.163320452\)

\(0.722140163\)

7

\(0.162688881\)

\(0.722102016\)

8

\(0.160298079\)

\(0.721228451\)

9

\(0.160497934\)

\(0.721098214\)