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Zeile 1: |
| ==Berechnung und Bemessung des Zwischenpodest==
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| Das Zwischenpodest wird in diesem beispiel als Dreiseitig gelagert und somit zweiseitig gespannt betrachtet
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| ==Einwirkungen==
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| ===Teilsicherheiten ===
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| ::{|
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| |<math> \gamma_\mathrm{Q} =1,50 </math> ||
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| |-
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| |<math> \gamma_\mathrm{G} =1,35 </math> ||
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| |}
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| === Ständige===
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|
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| :{|
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| | <math> g_{d}= g_{k} \cdot \gamma_\mathrm{G}</math> ||
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| |}
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| ::{|
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| | <math> g_{k} = h \cdot \gamma_{1} + \gamma_{G_{s}=1,5 cm} + N_{s} \cdot \gamma_{Naturstein} + \gamma_{Estrich} \cdot d_{Estrich} </math>|| <math>| mit: h_{P}= 20cm </math>
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| |-
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| | || <math>| mit: \gamma_{1}= 25 \frac{kN}{m^{3}} </math>
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| |-
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| | || <math>| mit: \gamma_{G_{s}=1,5 cm} = 0,18 \frac{kN}{m^{2}} </math>
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| |-
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| | || <math>| mit: \gamma_{Naturstein} = 0,3 \frac{\frac{kN}{m^{2}}}{cm} </math>
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| |-
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| | || <math>| mit: N_{s} = 3 cm </math>
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| |-
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| | || <math>| mit: \gamma_{Estrich} = 22 \frac{\frac{kN}{m^{2}}}{cm} </math>
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| |-
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| | || <math>| mit: d_{Estrich} = 4 cm </math>
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| |-
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| | || <math>| mit: \gamma_{Trittschalldämmung} = 0,01 \frac{\frac{kN}{m^{2}}}{cm} </math>
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| |-
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| | || <math>| mit: d_{Trittschalldämmung} = 4 cm </math>
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| |-
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| |<math> g_{k} = 0,20 m \cdot 25 \frac{kN}{m^{3}} + 0,18 \frac{kN}{m^{2}} + 3 cm \cdot 0,3 \frac{\frac{kN}{m^{2}}}{cm} + 0,01 \frac{\frac{kN}{m^{2}}}{cm} \cdot 4 cm + 0,22 \frac{\frac{kN}{m^{2}}}{cm} \cdot 4 cm </math>||
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| |-
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| |<math> g_{k} = 7 \frac{kN}{m^{2}} </math>||
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| |}
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| :{|
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| | <math> g_{d}= g_{k} \cdot \gamma_\mathrm{G}</math> || <math>| mit: \gamma_\mathrm{G} = 1,5 </math>
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| |-
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| | || <math>| mit:g_{k} = 7 \frac{kN}{m^{2}} </math>
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| |-
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| | <math> g_{d}= 7 \frac{kN}{m^{2}} \cdot 1,5 </math> ||
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| |-
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| | <math> g_{d}=10,5 \frac{kN}{m^{2}} </math> ||
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| |}
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|
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| === Veränderliche===
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|
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| {| class="wikitable"
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| |+style="text-align:left;"|Lotrechte Nutzlasten für Treppen <ref Name = "HandbuchEC1" group="F">Handbuch Eurocode 1 Einwirkungen – Band 1 Grundlagen, Nutz- und Eigenlasten, Brandeinwirkungen, Schnee-, Wind-, Temperaturlasten Ausgabedatum: 06.2012 </ref>
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| |rowspan="2"|
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| |colspan="2"|1
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| |2
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| |3
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| |4
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| |5
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| |-
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| !colspan="2"|Kategorie
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| !Nutzung
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| !Beispiele
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| !<math> q_{k} [ \frac{kN}{m^{2}}] </math>
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| !<math> Q_{k} [kN] </math>
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| |-
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| |19
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| |rowspan="3" style="background:#FFFF40"|T
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| |style="background:#FFFF40"|T1
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| |rowspan="3" style="background:#FFFF40"|Treppen und Treppenpodeste
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| |style="background:#FFFF40"|Treppen und Treppenpodeste in Wohngebäuden, Bürogebäuden und von Arztpraxen ohne schweres Gerät
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| |style="background:#FFFF40"|3,0
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| |2,0
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| |-
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| |20
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| |T2
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| |alle Treppen und Treppenpodeste, die nicht in TI oder T3 eingeordnet werden können
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| |5,0
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| |2,0
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| |-
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| |21
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| |T3
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| |Zugänge und Treppen von Tribünen ohne feste Sitzplätze, die als Fluchtwege dienen
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| |7,5
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| |3,0
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| |}
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|
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| ::{|
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| |<math> \underline{ q_{k} = 3,0 \frac{kN}{m^{2}} } </math>||
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| |}
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| <br />
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|
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| :{|
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| |<math> q_{d} =q_{k} \cdot \gamma_\mathrm{ Q } </math>|| <math>| mit: q_{k} = 3,0 \frac{kN}{m^{2}} </math>
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| |-
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| | || <math>| mit: \gamma_\mathrm{ Q } = 1,5 </math>
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| |-
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| |<math> q_{d} = 3,0 \frac{kN}{m^{2}} \cdot 1,5 </math>||
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| |-
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| |<math> q_{d} = 4,5 \frac{kN}{m^{2}} </math>||
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| |}
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| ===Gesamt Einwirkungen===
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| :{|
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| | <math> F_{d}=g_{d}+q_{d} </math> || <math>| mit: q_{d} = 4,5 \frac{kN}{m^{2}} </math>
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| |-
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| | || <math>| mit: g_{d} = 10,5 \frac{kN}{m^{2}} </math>
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| |-
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| | <math> F_{d}= 10,5 \frac{kN}{m^{2}} + 4,5 \frac{kN}{m^{2}} </math> ||
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| |-
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| | <math> F_{d}=15,0 \frac{kN}{m^{2}} </math> ||
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| |}
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| :{|
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| | <math> F_{0} = C_{Ed} </math> || <math>| mit: C_{Ed} =22.86 \frac{kN}{m} </math>
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| | <math> F_{0} = 22.86 \frac{kN}{m} </math> ||
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| |}
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| :{|
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| | <math> m_{0} = M_{Ed,S} </math> || <math>| mit: M_{Ed,S} =6.63 \frac{kNm}{m} </math>
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| |-
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| | <math> m_{0} = 6.63 \frac{kNm}{m} </math> ||
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| |}
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| ===Statisches System===
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| :{|
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| \frac{h_{P}}{2} \\
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| \frac{t}{2}
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| \end{cases}</math>||
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| |-
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| | ||<math>| mit: h_{P} = 20 cm</math>
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| |-
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| | ||<math>| mit: t_{1} = 36,5 cm</math>
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| |-
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| \frac{20 cm}{2} \\
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| \frac{36,5 cm}{2}
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| \end{cases}</math>||
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| |-
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| 10 cm \\
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| 18,25 cm
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| \end{cases}</math>||
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| |-
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| |<math>a_{1} = 10 cm </math>||
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| |}
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| :{|
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| |<math>a_{2}=\mathrm{min}\begin{cases}
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| \frac{h_{P}}{2} \\
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| \frac{t}{2}
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| \end{cases}</math>||
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| |-
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| | ||<math>| mit: h_{P} = 20 cm</math>
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| |-
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| | ||<math>| mit: t_{2} = 24 cm</math>
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| |-
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| |<math>a_{2}=\mathrm{min}\begin{cases}
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| \frac{20 cm}{2} \\
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| \frac{24 cm}{2}
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| \end{cases}</math>||
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| |-
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| |<math>a_{2}=\mathrm{min}\begin{cases}
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| 10 cm \\
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| 12 cm
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| \end{cases}</math>||
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| |-
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| |<math>a_{2} = 10 cm </math>||
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| |}
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| :{|
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| | <math> b_{P} = 2 \cdot b + b^{'} + a_{2} + a_{2} </math> || <math>| mit: b = 1,0 m </math>
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| |-
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| | ||<math>| mit: a_{1} = 0,1 m </math>
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| |-
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| | ||<math>| mit: a_{2} = 0,1 m </math>
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| |-
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| | ||<math>| mit: b^{'} = 0,25 m </math>
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| | <math> b_{P} = 2 \cdot 1,0 m + 0,25 m + 0,1 m + 0,1 m </math> ||
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| |-
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| | <math> b_{P} = 2,45 m </math> ||
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| |}
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|
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| :{|
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| \frac{h_{P}}{2} \\
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| \frac{t}{2}
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| \end{cases}</math>||
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| |-
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| | ||<math>| mit: h_{P} = 20 cm</math>
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| |-
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| | ||<math>| mit: t_{1} = 12,5 cm</math>
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| |-
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| \frac{20 cm}{2} \\
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| \frac{12,5 cm}{2}
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| \end{cases}</math>||
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| |-
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| |<math>a_{1}=\mathrm{min}\begin{cases}
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| 10 cm \\
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| \approx 6 cm
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| \end{cases}</math>||
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| |-
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| |<math>a_{1} = 6 cm </math>||
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| |}
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| :{|
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| | <math> t_{P} = ln + a_{1} + a_{2} </math> || <math>| mit: b = 1,0 m </math>
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| |-
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| | ||<math>| mit: a_{1} = 0,1 m </math>
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| | ||<math>| mit: a_{2} = 0 m </math>
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| | <math> t_{P} = 1,0 m + 0,06 m + 0 m </math> ||
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| |-
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| | <math> t_{P} = 1,06 m </math> ||
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| |}
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| ==Berechnung und Bemessung des Zwischenpodest Hauptpodest==
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| Das Hauptpodest wird als zweiseitig gelagert also einachsig gespannt
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| ==''Quellen''==
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| :''Normen''
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| <references group="N" /><br />
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| <br />
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| :''Fachliteratur''
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| <references group="F" /><br />
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| <br />
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| :''Links''
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| <references group="L" />
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| <br />
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| {{Seiteninfo
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| |Quality-flag = [[File:quality-flag-white.gif|right|70px]]
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| |Status = Seite in Bearbeitung}}
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| [[Kategorie:Grundlagen/Begriffe-Stahlbetonbau]]-Stahlbetonbau]]
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