Kniklengte definitie

In het venster "Kniklengte definitie" kan men de berekenings methode voor de kniklengte van een element kiezen:

  • Geschoord
  • Ongeschoord
  • Conservatief Geschoord
  • Handmatig

voor de berekening van de kniklengte van een element.

 

Steel buckling length definition

 

Het is mogelijk om de berekenings methode voor de kniklengte te kiezen, of zelf te invoeren (Handmatig) en de waarde van de kniklengte, die anders berekend wordt, zelf in te voeren.

 

It is possible to choose the method for the calculation of length or to choose the user's method (User Defined) and input the value of the coefficient of length which is to be calculated.

 

Buckling supports can only be entered for both axes if they have the same values. Otherwise only one axis can have supports.

 

Support only in Z-axis:

 

Support only in Z-axis

 

The example is created using a single member 11 m long. On a distance of 6 m the lateral support is placed producing two XLT values. Also, the member contains elastic and plastic ranges. At a point of 5 m the buckling support in Z-axis is placed.

 

Before starting buckling calculations:

  1. Cross section classification is performed;
  2. Lateral buckling check is done to calculate XLT values.

 

The first step in buckling calculations is to make calculation fields. Initial fields are created using buckling supports. Since single support is defined in Z-axis, two fields are needed. Y-axis doesn’t have supports – the same field is used in both cases.

 

Axis Field 1 Field 2
  Begin End Begin End
Y 0 11 0 11
Z 0 5 5 11

 

The fields must be split because the member has plastic and elastic classes. If a field is split by classes, these new sub-fields are only used for resistance calculations and maximum bending forces. Buckling forces, buckling length, and Cm factors are calculated from original (“buckling” fields).

 

Axis Field 1.1 Field 1.2 Field 2.1 Field 2.2
Buckling Bending Buckling Bending Buckling Bending Buckling Bending
Begin End Begin End Begin End Begin End Begin End Begin End Begin End Begin End
Y 0 11 0 0.5 0 11 0.5 11 0 11 0 0.5 0 11 0.5 11
Z 0 5 0 0.5 0 5 0.5 5 5 11 0 0.5 5 11 5 11

 

The Field 2.1 is invalid because bending field is outside of buckling field in Z-axis. And the range [0; 0.5] is checked by the Field 1.1 so this field is deleted. After removing the Field 2.1 three fields are left for checking. Additional values are needed to perform a check:

  1. XLT is taken as minimum from Z buckling field;
  2. Class is taken as maximum from Y- or Z-axis bending field;
  3. Moments for factors Cm are taken from the buckling field of the opposite axis.

 

When all values are filled in, we get table below:

 

Step Axis Buckling field Bending field     XLT Class Forces (6.61 & 6.62) Moments for factor Cm
Begin End Buckling length Begin End NEd My Mz My Mz
Begin Middle Begin Middle Begin Middle
1 Y 0 11 11 0 0.5 0.7 3 -340 2.5 0.63 0 50 250 0 70 302.5
Z 0 5 5 0 0.5 -244
2 Y 0 11 11 0.5 11 0.7 1 -340 250 302.5 0 50 250 0 70 302.5
Z 0 5 5 0.5 5 -244
3 Y 0 11 11 0.5 11 0.5 1 -340 1210 302.5 250 600 1210 0 70 302.5
Z 5 11 6 5 11 -340