Statics and Dynamics Quiz
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A Pratt truss has top chord joints at A (0,0), C (2 m, 2 m), E (4 m, 2 m), and bottom chord joints at B (0,0)... [Revised simpler geometry below.] A symmetric planar truss spans 6 m with joints at: L (0,0) pin, M (3,0), R (6,0) roller, and apex P (3, 3). Members: LP, MP, RP, LM, MR. A 24 kN downward load acts at P.
After determining support reactions, an analyst isolates joint M to find the force in member MP. Members LM and MR are both horizontal, and MP is vertical. No external load acts at M. The analyst uses the zero-force member rule to declare FMP=0. However, joint P equilibrium gives a different result. What is the actual force in MP, and why does the analyst's application of the zero-force rule fail?
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