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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∙ + ∙ = ∙ <br />
The equation for the response of the spring is: ∙ = <br />
Substituting S we get:<br />
Dividing by L:<br />
∙ + ∙ = ( ∙ ) ∙ <br />
+ <br />
∙ = ∙ <br />
And grouping terms we have:<br />
= − <br />
∙ <br />
<br />
This can further be re-written if we define the geometric stiffness as:<br />
= <br />
<br />
giving the final form as:<br />
= ( − ) ∙ <br />
Of: − ∙ = <br />
When the normal force N is multiplied with a factor αcr so that the total rigidity becomes zero:<br />
The structure will buckle and become “unstable”.<br />
Buckling Shape<br />
− ∙ <br />
<br />
51<br />
= 0<br />
<strong>Scaffolding</strong><br />
As an alternative to Global and Local imperfections, paragraph 13. Non linear combinations allows<br />
the use of a buckling shape as a unique imperfection.<br />
To input geometrical imperfections, the functionality Nonlinearity > Initial deformations and<br />
curvature and Stability must be activated.
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