Zero rod

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Zero rod rules

Zero members are members in the framework that experience neither tensile nor compressive forces under a given load according to the theory of the first order, i.e. they are stress-free according to the framework theory. However, they can still have secondary voltages. A member that is a null member in one load case can definitely be a compression or tension member in another load case.

There are several rules for recognizing null bars in a truss.

The three best known follow from the nodal equilibrium: (However, further null members can be contained in the system.)

  1. If two bars are connected to an unloaded node that are not in the same direction, they are zero bars.
  2. If two bars and an additional force are connected to a loaded node, and the force (the external load) has the same direction as one of the two bars, the other is a zero bar.
  3. If three bars are connected to an unloaded node and two of them are in the same direction, the third is a zero bar.

Web links

http://www.bau.uni-siegen.de/subdomains/bauinformatik/lehre/tm1/arbeitsblaetter/arbeitsblatt_stabkraefte.pdf