03.08.2013 Views

Nonlinear Static and Dynamic Analysis of Steel Structures with ...

Nonlinear Static and Dynamic Analysis of Steel Structures with ...

Nonlinear Static and Dynamic Analysis of Steel Structures with ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Chapter 1 Design <strong>of</strong> steel structures <strong>with</strong> Eurocode 3<br />

Stress<br />

distribution<br />

in parts<br />

(compression<br />

positive)<br />

4<br />

3 c / t 124<br />

c / t 42<br />

42<br />

when 1:<br />

c / t <br />

0,<br />

67 0,<br />

33<br />

when 1<br />

*)<br />

: c / t 62<br />

( 1<br />

) ( <br />

)<br />

235/<br />

f y<br />

fy<br />

<br />

235<br />

1,00<br />

275<br />

0,92<br />

355<br />

0,81<br />

420<br />

0,75<br />

460<br />

0,71<br />

*)<br />

where ς ≤ -1 applies where either the compression stress ζ < fy or the tensile strain εy > fy/E<br />

Table 1.2: Maximum width-to-thickness ratios for compression parts<br />

1.3 Finite element methods <strong>of</strong> analysis<br />

1.3.1 General<br />

The choice <strong>of</strong> the FE-method depends on the problem to be analysed <strong>and</strong> based on the<br />

following assumptions:<br />

No Material<br />

behavior<br />

f y<br />

-<br />

+<br />

f y<br />

c/2<br />

c<br />

Geometric<br />

behavior<br />

Imperfections Example <strong>of</strong> use<br />

1 linear linear no elastic shear lag effect, elastic resistance<br />

2 nonlinear linear no plastic resistance in ULS<br />

3 linear nonlinear no critical plate buckling load<br />

4 linear nonlinear yes elastic plate buckling resistance<br />

5 nonlinear nonlinear yes elastic-plastic resistance in ULS<br />

Table 1.3: Assumptions for FE-methods<br />

Use<br />

In using FEM for design, special care should be taken to:<br />

– the modeling <strong>of</strong> the structural component <strong>and</strong> its boundary conditions;<br />

– the choice <strong>of</strong> s<strong>of</strong>tware <strong>and</strong> documentation;<br />

– the use <strong>of</strong> imperfections;<br />

– the modeling <strong>of</strong> material properties;<br />

– the modeling <strong>of</strong> loads;<br />

– the modeling <strong>of</strong> limit state criteria;<br />

– the partial factors to be applied.<br />

+<br />

f y<br />

c<br />

-<br />

f y<br />

+<br />

f y<br />

c

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!