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Table 3 Integration constants for exact solutions of case (2)

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

 

\((1)\)

\(x\in\) \([{0,0.461677498}]\)

\((2)\)

\(x\in [0.461677498, 1/2]\)

\(\left(3\right)\)

\(x\in [1/{2,1}]\)

\({C}_{1}\)

\(-0.001950228\)

\(0\)

\(0\)

\({C}_{2}\)

\(-0.001547479\)

\(0\)

\(0\)

\({C}_{3}\)

\({-4.977211027\times 10}^{-5}\)

\(0\)

\(0\)

\({C}_{4}\)

\(-3.529768133\times {10}^{-4}\)

\(0\)

\(0\)

\(A\)

\(0\)

\(0\)

\(0\)

\(B\)

0

\(0\)

\(0\)

\(C\)

0

\(0\)

\(0\)

\(D\)

0

\(0\)

\(0\)

\(E\)

1

\(1\)

\(-1\)

F

0

\(-0.053117020\)

\(0.113549646\)

G

0

\(0.017830983\)

\(-0.107169017\)

H

0

\(-0.001310906\)

\(0.040355761\)

I

0

\(1.386093559\times {10}^{-4}\)

\(-0.005069724\)