1. Reference problem#

The POST_COMBINAISON command calculates linear combinations of various calculation results associated with user-defined coefficients.

\({C}_{i}\text{}\text{}\text{}=\text{}\text{}\text{}({\mathrm{\alpha }}_{i\mathrm{,1}}\times {Q}_{1})\text{}\text{}\text{}+\text{}\text{}\text{}({\mathrm{\alpha }}_{i\mathrm{,2}}\times {Q}_{2})\)

Where:

  • is the combination number

  • Q1 is the result/table from a first finite element calculation

  • Q2 is the result/table from a first finite element calculation

  • αi,1 is the coefficient associated with Q1

  • αi,2is the coefficient associated with Q2

  • This is the result from the combination made.

1.1. Geometry#

The structure is a straight parallelepiped with a rectangular base. The dimensions of the block are: \(L=\mathrm{12,0}m\), \(H=\mathrm{3,0}m\), and \(B=\mathrm{0,3}m\) [Figure 1.1-1].

_images/10000201000003F600000156B0F8367D5EB03EB8.png

Figure 1.1-1 : Geometry of the structure

1.2. Material properties#

Young’s module: \(E=30000\mathit{MPa}\).

Poisson’s ratio: \(\nu =\mathrm{0,3}\).

Density: \(\rho =2500\mathit{kg}/m\mathrm{³}\)

1.3. Boundary conditions and loads#

The left side is embedded.

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The right face is subject to three load cases:

  • Force distributed along axis \(x\): FX = 100 kN

  • Force distributed along axis \(y\): FY = 6000 kN

  • Force distributed along axis \(z\): FZ = 600 kN

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The structure is subject to its own weight.

1.4. Bibliography#