1.5P ستا F E 3 m. B 3 m C -3 m- P 1.5P 4 m D

The truss in the figure is under three forces in terms of P. The maximum force of the three members (FE, FC, and BC) can support is 8 kN in tension and 6 kN in compression.

a) Find the force developed in members FE, FC, and BC in terms of P.

b) What is the maximum P that can be supported by this truss, considering the strength of the three members (FE, FC, and BC)?

c) If P consists of a dead load of (D = 2 kN, unfactored) and a live load (L, unfactored load), what is the maximum L that can be supported by this truss, considering loading combination P = 1.2 * D + 1.6 * L?

Please provide any equations, calculations, and explanations.