Determine the force in each member of the truss and state if the members are in tension

Question

Determine the force in each member of the truss and state if the members are in tension or compression.

Accepted Answer

Joint [latex]C[/latex].

[latex]+\uparrow \Sigma F_{y}=0 ; \quad 259.81 \mathrm{lb}-F_{C D} \sin 30^{\circ}=0[/latex]

[latex]F_{C D}=519.62 \mathrm{lb}=520 \mathrm{lb}(\mathrm{C})[/latex]

[latex]\stackrel{+}{ ightarrow} F_{x}=0 ; \quad(519.62 \mathrm{lb}) \cos 30^{\circ}-F_{B C}=0[/latex]

[latex]F_{B C}=450 \mathrm{lb}(\mathrm{T})[/latex]

Joint [latex]D[/latex].

[latex]+ earrow{\Sigma} F_{y^{\prime}}=0 ; \quad F_{B D} \cos 30^{\circ}=0 \quad F_{B D}=0 \quad[/latex]

[latex]+\searrow \Sigma F_{x^{\prime}}=0 ; \quad F_{D E}-519.62 \mathrm{lb}=0[/latex]

[latex]F_{D E}=519.62 \mathrm{lb}=520 \mathrm{lb}(\mathrm{C})[/latex]

Joint [latex]B[/latex].

[latex]\uparrow \Sigma F_{y}=0 ; \quad F_{B E} \sin \phi=0 \quad F_{B E}=0[/latex]

[latex]\stackrel{+}{ ightarrow} F_{x}=0 ; \quad 450 \mathrm{lb}-F_{A B}=0[/latex]

[latex]F_{A B}=450 \mathrm{lb}(\mathrm{T})[/latex]

Joint [latex]A[/latex].

[latex]+\uparrow \Sigma F_{y}=0 ; \quad 340.19 \mathrm{lb}-F_{A E}=0[/latex]

[latex]F_{ ext {AE }}=340 \mathrm{lb}(\mathrm{C})[/latex]

Question F5.6: Determine the force in each member of the truss and state if......