Verification Examples:
Beispiel 3: Hollow Rectangle 150×250
Geometrische Eigenschaften
| Eigentum |
Wert |
| Bereich |
7600 mm2 |
| Ymax, Ymin |
125mm, -125mm |
| Zmax, Zmin |
75mm, -75mm |
| ichund |
2.82 × 107 mm4 |
| ichmit |
6.35 × 107 mm4 |
| Q.und |
3.12 × 105 mm3 |
| Q.mit |
2.17 × 105 mm3 |
| tund |
20 mm |
| tmit |
20 mm |
| J. |
6.11 × 107 mm4 |
| rmax |
98.86 mm |
Kräfte
| Axial |
Schere Y. |
Schere Z. |
Drehung |
Y biegen |
Z biegen |
| 8 kN |
1 kN |
1 kN |
0.1 kN-m |
1 kN-m |
1 kN-m |
Ergebnisse
| Ergebnis |
SkyCiv SB Analysis |
Handbuch |
Dritte Seite |
| Axialmax |
1.053 |
\(\frac{Bereich}{Axial}= frac{8·1000}{7600} = 1.053\) (0.00%) |
1.053 (0.00%) |
| AxialMindest |
1.053 |
\(\frac{Bereich}{Axial}= frac{8·1000}{7600} = 1.053\) (0.00%) |
1.053 (0.00%) |
| Y biegenmax |
2.659 |
\(\frac{BendingY}{I_y/y_{max}}= frac{1·1000000}{2.82·10^7/75} = 2.659\) (0.00%) |
2.659 (0.00%) |
| Y biegenMindest |
-2.659 |
\(\frac{BendingY}{I_y/y_{Mindest}}= frac{1·1000000}{2.82·10^7/-75} = -2.659\) (0.00%) |
-2.659 (0.00%) |
| Z biegenmax |
1.968 |
\(\frac{BendingZ}{I_z/z_{max}}= frac{1·1000000}{6.35·10^7/125} = 1.969\) (0.05%) |
1.968 (0.00%) |
| Z biegenMindest |
-1.968 |
\(\frac{BendingZ}{I_z/z_{Mindest}}= frac{1·1000000}{6.35·10^7/-125} = -1.969\) (0.05%) |
-1.968 (0.00%) |
| Resultierende Scherung Ymax |
0.247 |
\(\frac{ShearY·Q_z}{I_z·t}= frac{(1·1000)·3.12·10^5}{6.35·10^7·20} = 0.246\) (0.4%) |
|
| Resultierende Scherung ZMindest |
0.247 |
\(\frac{ShearZ·Q_y}{I_y·t}= frac{(1·1000)·2.17·10^5}{2.82·10^7·20} = 0.246\) (0.4%) |
|
| Drehung max |
0.170 |
\(\frac{Torsion·r_{max}}{j}= frac{0.1·1000000·98.86}{6.12·10^7} = 0.162\) (4.81%) |
|
Beispiel 4: Double Channels
Geometrische Eigenschaften
| Eigentum |
Wert |
| Bereich |
6413.15 mm2 |
| Ymax, Ymin |
115mm, -115mm |
| Zmax, Zmin |
80mm, -80mm |
| ichund |
8.41 × 106 mm4 |
| ichmit |
5.36 × 107 mm4 |
| Q.und |
8.85 × 104 mm3 |
| Q.mit |
2.72 × 105 mm3 |
| tund |
13 mm |
| tmit |
0 mm |
| J. |
2.21 × 105 mm4 |
| rmax |
12.9 mm |
Kräfte
| Axial |
Schere Y. |
Schere Z. |
Drehung |
Y biegen |
Z biegen |
| 5 kN |
1.2 kN |
1.5 kN |
0.25 kN-m |
1 kN-m |
1 kN-m |
Ergebnisse
| Ergebnis |
SkyCiv SB Analysis |
Handbuch |
Dritte Seite |
| Axialmax |
0.78 |
\(\frac{Bereich}{Axial}= frac{5·1000}{6413.15} = 0.78 \) (0.00%) |
|
| AxialMindest |
0.78 |
\(\frac{Bereich}{Axial}= frac{5·1000}{6413.15} = 0.78\) (0.00%) |
|
| Y biegenmax |
9.512 |
\(\frac{BendingY}{I_y/y_{max}}= frac{1·1000000}{8.41·10^6/80} = 9.512\) (0.00%) |
|
| Y biegenMindest |
-9.512 |
\(\frac{BendingY}{I_y/y_{Mindest}}= frac{1·1000000}{8.41·10^6/-80} = -9.512\) (0.00%) |
|
| Z biegenmax |
2.114 |
\(\frac{BendingZ}{I_z/z_{max}}= frac{1·1000000}{5.36·10^7/115} = 2.146\) (0.01%) |
|
| Z biegenMindest |
-2.114 |
\(\frac{BendingZ}{I_z/z_{Mindest}}= frac{1·1000000}{5.36·10^7/-115} = -2.146\) (0.01%) |
|
| Resultierende Scherung Ymax |
0.47 |
\(\frac{ShearY·Q_z}{I_z·t}= frac{(1.2·1000)·2.71·10^5}{5.36·10^7·13} = 0.47\) (0.00%) |
|
| Resultierende Scherung ZMindest |
7.842 |
|
|
| Drehung max |
16.869 |
\(\frac{Torsion·r_{max}}{j}= frac{0.25·1000000·12.9}{2.21·10^5} = 14.59\) (13.5%) |
|
Beispiel 5: Composite Steel Encased Concrete Column
Geometrische Eigenschaften
| Eigentum |
Wert |
| Transformed Area (Stahl) |
11800 mm2 |
| Transformed Area (Beton) |
138824 mm2 |
| Ymax, Ymin |
110mm, -110mm |
| Zmax, Zmin |
110mm, -110mm |
| ichund (Steel E Value) |
7.32133 × 107 mm4 |
| ichmit (Steel E Value) |
7.32133 × 107 mm4 |
Kräfte
| Axial |
Schere Y. |
Schere Z. |
Drehung |
Y biegen |
Z biegen |
| 3 kN |
1 kN |
2 kN |
0.2 kN-m |
1 kN-m |
2 kN-m |
Ergebnisse
| Ergebnis |
SkyCiv SB Analysis |
Handbuch |
Dritte Seite |
| Axialmax |
0.254 |
\(\frac{Bereich}{Axial}= frac{3·1000}{1.18·10^4} = 0.254 \) (0.00%) |
|
| AxialMindest |
0.022 |
\(\frac{Bereich}{Axial}= frac{3·1000}{1.38·10^5} = 0.22\) (0.00%) |
|
| Y biegenmax |
1.502 |
\(\frac{BendingY}{I_y/y_{max}}= frac{1·1000000}{7.32113·10^7/110} = 1.502\) (0.00%) |
|
| Y biegenMindest |
-1.502 |
\(\frac{BendingY}{I_y/y_{Mindest}}= frac{1·1000000}{7.32113·10^7/-110} = -1.502\) (0.00%) |
|
| Z biegenmax |
3.005 |
\(\frac{BendingZ}{I_z/z_{max}}= frac{2·1000000}{7.32113·10^7/110} = 3.005\) (0.00%) |
|
| Z biegenMindest |
-3.005 |
\(\frac{BendingZ}{I_z/z_{Mindest}}= frac{2·1000000}{7.32113·10^7/-110} = -3.005\) (0.00%) |
|
| Resultierende Scherung Ymax |
0.155 |
|
|
| Resultierende Scherung ZMindest |
0.31 |
|
|
| Drehung max |
0.219 |
|
|
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