In a nodal point, several members are hinged. How many member hinges have to be defined?

Answer

If two members are hinged to each other, the corresponding hinge must be assigned to only one of these members.

If there are three members, which are all hinged, two of the three members will have the corresponding hinge.

Generally, a nodal point with a completely hinged design with any desired number of member ends receives a total of one member end release less than the existing number of member ends:

Number of member ends: n 

Number of member hinges for completely hinged connection: 

If the member end releases are fewer than n-1, the respective member ends are connected rigidly without a hinge.

Figure 1 shows three variants of a main beam to which a secondary beam is connected:

  1. Fully rigid connection - no member hinge
  2. Partly hinged connection: The secondary beam is connected to the continuously rigid main beam by a hinge - a member end release 
  3. Completely hinged connection: All three members are hinged to each other - two member end releases 
If a member end release is applied too much, the calculation may be aborted due to instability. Therefore, the rule described above has to be observed.

Keywords

Member end release Hinge Connection Hinged Node Number

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