Question 5.85: If the roller at B can sustain a maximum load of 3 kN, deter...

If the roller at B can sustain a maximum load of 3 kN, determine the largest magnitude of each of the three forces F that can be supported by the truss.

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Equations of Equilibrium: The unknowns A_x and A_y can be eliminated by summing moments about point A.

\hookrightarrow + \Sigma M_A=0 ; \quad F(6)+F(4)+F(2)-3 \cos 45^{\circ}(2)=0

F=0.3536  \mathrm{kN}=354 \mathrm{~N}

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