11.03.2014 Views

Deformasjonsmetoden

Deformasjonsmetoden

Deformasjonsmetoden

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Elementanalyse<br />

30 m<br />

90 m<br />

P<br />

θ 2<br />

w 2<br />

θ 3 w 3<br />

EI<br />

l<br />

4EI<br />

l<br />

75 m<br />

2EI<br />

l<br />

Bjelke 12 :<br />

⎡ 1 1⎤ ⎡ 117 ⎤<br />

− −<br />

2<br />

P<br />

⎡ Q21 ⎤ 3EI ⎢ ⎥ ⎡w<br />

2 ⎤ ⎢ 128 ⎥<br />

=<br />

l l<br />

⎢<br />

M<br />

⎥ ⎢ ⎥ +<br />

21 1<br />

⎢ ⎥ ⎢ ⎥<br />

⎣ ⎦ l ⎢ θ2<br />

21<br />

− 1 ⎥ ⎣ ⎦ ⎢ Pl<br />

⎥<br />

⎢⎣<br />

l ⎥⎦<br />

⎢⎣ 128 ⎥⎦<br />

Bjelke 23 Bjelke 34<br />

M<br />

M<br />

23<br />

32<br />

4EI<br />

= 4<br />

l<br />

4EI<br />

= 4<br />

l<br />

⎛<br />

θ ⎜⎝<br />

⎛<br />

θ ⎜⎝<br />

23<br />

32<br />

+<br />

+<br />

1<br />

θ<br />

2<br />

1<br />

θ<br />

2<br />

32<br />

23<br />

⎞<br />

⎟⎠<br />

⎞<br />

⎟⎠<br />

⎡ Q<br />

⎢⎣ M<br />

34<br />

23<br />

⎤<br />

⎥⎦<br />

2EI<br />

= 3<br />

l<br />

⎡ 1<br />

2<br />

l<br />

1<br />

⎢⎢⎢<br />

−<br />

⎣ l<br />

1⎤<br />

−<br />

l w3<br />

⎤<br />

1 ⎥⎥⎥⎡<br />

⎢⎣ θ<br />

3<br />

⎥⎦<br />

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

Saved successfully!

Ooh no, something went wrong!