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Learning Goal:

For a truss to be in equilibrium, each of its joints also must be in equilibrium. Trusses consist of pin connections, so equilibrium conditions ${\displaystyle \underset{?}{\overset{?}{}}}{F}_x=0$ and ${\displaystyle \underset{?}{\overset{?}{}}}{F}_y=0$ must be satisfied at each joint. Because coplanar and concurrent forces act at each joint, moment equations are not needed when evaluating forces at a joint. Analysis should start at a joint having at least one known force and at most two unknown forces. When drawing a free$-$body diagram of a joint, always assume unknown member forces are in tension. By doing so$,$ the numerical solution of the equilibrium equations will yield positive scalars for members in tension and negative scalars for members in compression.

$A_x,A_y,D_y=0,268,323kN,kN,kN$

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Correct

Part B $-$ Member forces

Using the method of joints on the same truss, determine $F_{AB},F_{DC},$ and $F_{DE},$ the axial force in each of the members connected to joint $B$ Assume for your calculations that each unknown member force is in tension, and include in your response the sign of each force

Express your answers in $kN$ to three significant figures separated by commas.

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$F_{AB},F_{BC},F_{BE}=-37\mathrm{.}8,-295\mathrm{.}3\mathrm{.}89kN,kN,kN$

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Part C $-$ Member forces

Using the method of joints, determine $F_{BC},F_{CD},$ and $F_{CE},$ the axial force in each of the members connected to joint $C.$ Assume for your calculations that each unknown member force is in tension and include in your response the sign of each force.

Express your answers in $kN$ to three significant figures separated by commas.

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$A$

darr

vec

$?$

$F_{BC},F_{CD},F_{CE}=$

$kN,kN,kN$

$kN,kN,k$N

A$=1\mathrm{.}6$ m

P$1=24$ kN

P$2=35$ kN