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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⇒ e<br />
0<br />
= α ⋅<br />
( λ − , 2)<br />
M<br />
⋅<br />
N<br />
Rk<br />
χ ⋅<br />
1−<br />
γ<br />
( λ)<br />
Rk 0 ⋅<br />
2<br />
= 5,605 mm<br />
1−<br />
χ ⋅<br />
2<br />
M 1<br />
( λ)<br />
= 0,<br />
21⋅<br />
( 0,<br />
43−<br />
0.<br />
2)<br />
56<br />
147674000Nmm<br />
⋅<br />
1264300N<br />
The required parameters have now been calculated so in the final step the amplitude of the<br />
imperfection can be determined.<br />
Calculation of ηinit<br />
The mid section of the column is decisive ⇒ x = 2500<br />
ηcr at mid section = -368,24<br />
⇒η<br />
init<br />
''<br />
η cr , max at mid section = 1,443E -04<br />
=<br />
⋅<br />
N<br />
⋅η<br />
cr e0 ''<br />
cr<br />
E ⋅ I y ⋅ηcr<br />
, max<br />
1<br />
mm ²<br />
6885280N<br />
= 5,<br />
605mm<br />
⋅<br />
210000 N ⋅83560000mm<br />
mm²<br />
= 5,615 mm<br />
4<br />
⋅1,443E<br />
-4<br />
⋅368,24<br />
1<br />
mm²<br />
This value can now be inputted as amplitude of the buckling shape for imperfection.<br />
To illustrate this, the column is loaded by a compression load equal to its buckling resistance.<br />
<strong>Advanced</strong> <strong>Training</strong><br />
However, due to the imperfection, an additional moment will occur which will influence the section<br />
check. The buckling resistance can be calculated as follows:<br />
N<br />
Ed<br />
= N<br />
χ ⋅ A ⋅ f<br />
=<br />
γ<br />
= 0,<br />
945 ⋅ 5380mm²<br />
⋅ 235 N<br />
y<br />
b,<br />
Rd<br />
M 1<br />
mm<br />
=<br />
²<br />
1194,76 kN<br />
A non-linear combination is created in which the buckling shape as imperfection is specified.
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