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For the plane truss shown in the figure, the number of zero force members for the given loading is.

For the plane truss shown in the figure, the number of zero force members for the given loading is. Correct Answer 8

Concept:

Rule for zero member force:

  • At a joint, if three members are meeting, two members are collinear (same line), then force in the third member is always zero (if there is no external load at that joint) as shown in figure (1)
  • At a joint, if two non-collinear members are meeting with no external load at that joint then forces in both members will be zero as shown in figure (2).

Calculation:

Applying thumb rule (1),

The following figure shows the zero-force members -

[ alt="F1 Akhil 21.5.21 Pallavi D9" src="//storage.googleapis.com/tb-img/production/21/05/F1_Akhil_21.5.21_Pallavi_D9.png" style="width: 351px; height: 209px;">

∴ Total number of zero force members = 8

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