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traagheidsmomenten + oplossingen van opgaven - Sint-Lucas

traagheidsmomenten + oplossingen van opgaven - Sint-Lucas

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Ix =<br />

h<br />

0<br />

Ix = 3<br />

y ² b dy = b<br />

b h³<br />

y³<br />

3<br />

h<br />

0<br />

h ³<br />

= b<br />

3<br />

1.2.3. Driehoek : traagheidsmoment t.o.v. de basis : x-as gaat door de basis<br />

y<br />

h b'<br />

b'<br />

b<br />

h y<br />

h<br />

= 1<br />

y<br />

b' = b ( 1 )<br />

h<br />

y<br />

h<br />

y<br />

dA = b' dy = b ( 1 ) dy<br />

h<br />

Ix =<br />

A<br />

y ² dA =<br />

b<br />

h³<br />

Ix = 12<br />

h<br />

0<br />

b<br />

y<br />

y ² b ( 1 ) dy = b<br />

h<br />

dy<br />

y³<br />

3<br />

4<br />

y<br />

4 h<br />

h<br />

0<br />

x<br />

= b<br />

h³<br />

3<br />

4<br />

h<br />

4 h<br />

IV - 3

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