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Advanced Package Training Scaffolding 2011.1 - Scia-Software GbR

Advanced Package Training Scaffolding 2011.1 - Scia-Software GbR

Advanced Package Training Scaffolding 2011.1 - Scia-Software GbR

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Start<br />

Choose ΔF<br />

u0 = 0<br />

F0 = 0<br />

F = F0 + ΔF<br />

Determine KT at F0<br />

Solve KT. Δu = F<br />

u = u0 + Δu<br />

Convergence<br />

in u?<br />

Stop<br />

Yes<br />

Any ΔF left?<br />

No<br />

u0 = u<br />

Determine F0<br />

45<br />

<strong>Scaffolding</strong><br />

In this figure, the tangential stiffness KT is used. The symbol u depicts the displacements and F is the<br />

force matrix.<br />

The original Newton-Raphson method changes the tangential stiffness in each iteration. There are also<br />

adapted procedures which keep the stiffness constant in certain zones during for example one<br />

increment. SCIA ENGINEER uses the original method.<br />

As a limitation, the rotation achieved in one increment should not exceed 5°.<br />

No<br />

The accuracy of the method can be increased through refinement of the finite element mesh and by<br />

increasing the number of increments. By default, when the Newton-Raphson method is used, the<br />

Number of increments is set to 5 and the number of 1D elements is set to 4 in the mesh setup.<br />

In the Mesh setup we also advise to deactivate the option “Generation of nodes in connections of beam<br />

elements”.

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