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Belag Arbeit

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  • August 15, 2021
  • 1
  • 2021/2022
  • Exam (elaborations)
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Fachbereich Prof. Dr. Ing. M. Ziegenhorn
Maschinenbau
Technische Mechanik Datum: 15.06.2021



Aufgabe: Torsion



Zwei Wellen mit dem Kreisquerschnitt (Radius r)
sind über einen Flansch miteinander verschraubt.
Die Schrauben sitzen auf einem Kreis mit dem
Radius R und haben den Durchmesser d. Wie viele
Schrauben sind nötig, dass die Schubspannung in
einer Schraube gleich der maximalen
Schubspannung in der Welle ist?

Es wird dabei angenommen, dass die
Schubspannung in allen Schrauben den gleichen
Wert hat und gleichmäßig über den
Schraubenquerschnitt verteilt ist.

Ein Balken mit dem abgebildeten Halblreisprofil
wird durch das Moment Mx belastet.

a) Ermitteln Sie die Schubspannung τ und
das Torsionsträgheitsmoment IT.

b) Bestimmen Sie die Sicherheit SF gegen
Fließen

c) Bestimmen Sei die Sicherheit SB gegen
Trennbruch

Gegeben:
R = 10 cm
t = 4 mm
Mx = 2000 Nm
Rm = 380 MPa
Re = 235 MPa

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