Description of the problem

To examine the accuracy of the calculation of Finite elements-method and the convergence characteristics of the stiffness matrix, the maximum values of deflection w, moments m_x, m_y and m_xy of a simply supported rectangular slab are obtained at different nets of finite elements. The slab carries a uniform distributed load of p = 100 [kN/m²] as shown in Figure 28. The Young's modulus of the slab material is E_b = 1.2×10 [kN/m] and Poisson's ratio is ν_b = 0 [-]. The slab thickness is d = 0.1 [m].

 Example 18: Simply supported slab

Description of the problem

One of the difficulties to apply the Continuum model to practical problems is that the long computation time. Therefore, a comparison for time and accuracy required for analysis the raft by the Continuum model is carried out by the following calculation methods:

To evaluate the iterative procedures used in ELPLA, consider the raft shown in Figure 30. The raft has a dimension of 10 [m] × 20 [m] and 0.6 [m] thickness.

 Example 19: Iteration methods

Description of the problem

To verify the mathematical model of ELPLA for computing the immediate (elastic) settlement under a loaded area on Isotropic elastic-half space medium, the results of immediate settlement calculations obtained by Bowles (1977) (Table 5-4, page 157) are compared with those obtained by ELPLA.

The vertical displacement s under an area carrying a uniform pressure p on the surface of Isotropic elastic-half space medium can be expressed as............

 Example 3: Immediate settlement under a loaded area on Isotropic elastic-half space medium

Description of the problem

A simple example was carried out to verify Winkler's model and Isotropic elastic half space soil medium, by comparing ELPLA results with those of Mikhaiel (1978) (Example 34, page 189) and Henedy (1987) ( Section 3.6, page 66) (or Bazaraa (1997)).

A square raft of 0.4 [m] thickness and 10 [m] side was chosen and subdivided into 64 square elements, each has dimensions of 1.25 [m] × 1.25 [m]. The raft carries four column loads, each 500 [kN] as shown in Figure 27.

 Example 17: Winkler's model and Isotropic elastic half-space soil medium