Table 9 Spring parameters.

From: Model experimental investigation on staggered segmental tunnel linings considering the surrounding soil pressure

 

Parameter

Expression

Rresult

Prototype

Coefficient of subgrade reaction

\(\:{K}_{\text{p}}=\frac{1.3{E}_{\text{s}}}{D\left(1-{\mu\:}_{\text{s}}^{2}\right)}\sqrt[12]{\frac{{E}_{\text{s}}{D}^{4}}{{\left(EI\right)}_{\text{e}\text{q}}}}\)

26,900 kN/m3

Model

Coefficient of soil reaction

Km=Kp/Ck

33,600 kN/m3

Prototype

Coefficient stiffness

Kpt=KpAB

11.78 MN/m

Model

Elastic coefficient

Kmt=Kpt/Ck

14.73 MN/m

  1. Note: Es is the elastic modulus of soil, 15 MPa; µs is Poisson ratio of soil, 0.33; and (EI)eq is equivalent bending stiffness of prototype tunnel, 4.15 × 107 kN/m2. The values of these parameters were obtained via practical engineering.
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