18.01.2014 Views

The Finite Element Method for the Analysis of Non-Linear and ...

The Finite Element Method for the Analysis of Non-Linear and ...

The Finite Element Method for the Analysis of Non-Linear and ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

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

Beam <strong>Element</strong>s - Strong Form to Weak Form<br />

Multiply Eqns. Multiply (1), Eq. (4) (1), (5) by (4) w(5) <strong>and</strong> by integrate w <strong>and</strong> integrate over <strong>the</strong>over domain <strong>the</strong> domain<br />

First integration by parts<br />

First integration by parts<br />

First integration First integration by parts by parts<br />

Second integration by parts gives<br />

Second integration by parts gives<br />

Second integration by parts gives<br />

Second integration by parts gives<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 19

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

Saved successfully!

Ooh no, something went wrong!