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NIEUWE BLIK OP KIP EN KNIK - Bouwen met Staal

NIEUWE BLIK OP KIP EN KNIK - Bouwen met Staal

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H 1a Summary<br />

F<br />

M = v<br />

22<br />

z 2<br />

Ez<br />

k3<br />

2<br />

in which the factor k 3 depends on the combination of beam-column type and load case.<br />

Check of stability, strength and stiffness<br />

The safety in the ULS (Ultimate Limit State; UGT in Dutch) is evaluated by checking if the<br />

requirements are <strong>met</strong>. After superposing all influences (accounting for the flexural strength<br />

and compression strength) a unity check is made:<br />

F M M<br />

+ + ≤<br />

F M M<br />

c y1<br />

z1<br />

1<br />

u yu zu<br />

Herein the stability has been accounted for 'automatically'. In cantilever beams the maximum<br />

moments in both directions usually do not occur at the same cross-section so there may still<br />

be a small reduction. If (in rare cases) a load acts in the 'weak' direction and/or the 2 nd order<br />

displacement in the 'strong' direction is not negligible, the relevant components may simply<br />

be added to the unity check.<br />

Chapter 8 describes how n z* can be applied to calculate the displacement in the SLS<br />

(Serviceability Limite State; BGT in Dutch). The total displacement is calculated by:<br />

n<br />

v = v<br />

n<br />

*<br />

z<br />

*<br />

z −1<br />

0<br />

The requirement in SLS is:<br />

v ≤ vpermissible<br />

A distinction can be made here between the total displacement and the additional<br />

displacement that occurs after the structure is subjected to its permanent or dead load.<br />

Design codes reduced to a common denominator<br />

In Chapter 9 the application of this <strong>met</strong>hod is compared with the rules in some current design<br />

codes for timber, steel and concrete. Because of the high degree of agreement, the results of<br />

the comparison offer particularly interesting possibilities for practical application.

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