Table 10 Integration constants for exact solutions of cases (4)
From: Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations
\(Region (1)\) \(x\in\) \([\mathrm{0,0.104030928}]\) | \(Region (2)\) \(x\in [\mathrm{0.104030928,0.3}]\) | \(Region \left(3\right)\) \(x\in [\mathrm{0.3,0.7}]\) | \(Region \left(4\right)\) \(x\in [0.7,0.895969072]\) | \(Region \left(5\right)\) \(x\in [0.895969072,1]\) | |
|---|---|---|---|---|---|
\({C}_{1}\) | \(0\) | \(-6.798279134\times {10}^{-5}\) | \(-0.00554338148\) | \(-0.0019940451\) | \(0\) |
\({C}_{2}\) | \(0\) | \(2.466183884\times {10}^{-5}\) | \(0.01712644656\) | \(3.216033831\times {10}^{-4}\) | \(0\) |
\({C}_{3}\) | \(0\) | \(1.028271896\times {10}^{-5}\) | \(-1.831498818\times {10}^{-4}\) | \(1.718982154\times {10}^{-7}\) | \(0\) |
\({C}_{4}\) | \(0\) | \(-2.834532907\times {10}^{-5}\) | \(-1.966540429\times {10}^{-4}\) | \(-1.06582459\times {10}^{-6}\) | \(0\) |
\(A\) | \(0\) | \(0\) | \(9375/32\) | \(0\) | \(0\) |
\(B\) | \(0\) | \(0\) | \(-9375/16\) | \(0\) | \(0\) |
\(C\) | \(0\) | \(0\) | \(26625/64\) | \(0\) | \(0\) |
\(D\) | \(0\) | \(0\) | \(-7875/64\) | \(0\) | \(0\) |
\(E\) | \(0\) | \(0\) | \(6615/512\) | \(0\) | \(0\) |
F | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
G | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
H | \(5.55320932\times {10}^{-4}\) | \(0\) | \(0\) | \(0\) | \(-5.55320932\times {10}^{-4}\) |
I | \(-5.77705521\times {10}^{-5}\) | \(0\) | \(0\) | \(0\) | \(4.975503799\times {10}^{-4}\) |