Asymmetriske tværsnit opgaver
Asymmetriske tværsnit opgaver
Asymmetriske tværsnit opgaver
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
1<br />
FIyz <br />
2<br />
uy<br />
L<br />
1<br />
x2<br />
6 x3<br />
<br />
<br />
<br />
<br />
= C2<br />
uy = 0 for x = 0 ⇒ C2 = 0<br />
2<br />
EIyIzIyz <br />
1<br />
FIyz <br />
2<br />
uy<br />
L<br />
1<br />
x2<br />
6 x3<br />
<br />
<br />
<br />
<br />
<br />
<br />
=<br />
2<br />
EIyIzIyz <br />
<br />
<br />
<br />
1<br />
FIyz <br />
2<br />
uy<br />
L<br />
1<br />
x2<br />
6 x3<br />
<br />
<br />
<br />
<br />
<br />
<br />
uy 0mm <br />
2<br />
EIyIzIyz <br />
<br />
<br />
<br />
<br />
x 1000mm F 2000N L 1000mm 1<br />
2<br />
Iz F Lx d 1<br />
IzMy IyzMz 1<br />
2<br />
uz = [<br />
F( L x)<br />
]<br />
αz<br />
2<br />
dx<br />
E<br />
2<br />
E<br />
IyIz Iyz<br />
x2<br />
<br />
<br />
<br />
<br />
<br />
= C1<br />
2<br />
IyIz Iyz<br />
αz = 0 for x =<br />
0<br />
<br />
<br />
⇒ C1 = 0<br />
<br />
<br />
Iz F<br />
1<br />
uz<br />
E<br />
1<br />
2 L<br />
1<br />
x2<br />
6 x3<br />
<br />
<br />
<br />
= <br />
<br />
<br />
C2<br />
uz = 0 for x = 0 ⇒ C2 = 0<br />
2<br />
IyIz Iyz<br />
<br />
<br />
<br />
<br />
Iz F<br />
1<br />
uz<br />
E<br />
1<br />
2 L<br />
1<br />
x2<br />
6 x3<br />
<br />
<br />
<br />
<br />
<br />
<br />
uz 0mm <br />
2<br />
IyIz Iyz<br />
Mohrs cirkel:<br />
Iz Iy<br />
C C 8.3 10<br />
2<br />
5<br />
mm 4<br />
<br />
R IzC 2<br />
Iyz 2<br />
<br />
R 6.72 10 5<br />
mm 4<br />
<br />
I1 C R<br />
I1 1.5 10 6<br />
mm 4<br />
<br />
I2 C R I2 1.58 10 5<br />
mm 4<br />
<br />
I1 I2 1.66 10 6<br />
mm 4<br />
<br />
Iy Iz 1.66 10 6<br />
mm 4<br />
<br />
tan( 2v) =<br />
2Iyz <br />
Iz Iy<br />
2Iyz <br />
atan<br />
<br />
Iz Iy<br />
v <br />
<br />
v 14.27deg 2<br />
10 of 11