Problem $3$

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Consider the cantilevered truss in Figure P$3,$ which is supported by a pin at E and a roller at F$.$ It is loaded with four point forces: $F_1=9kN,F_2=13kN,F_3=14kN,$ and $F_4=15kN.$ The distance $L=1\mathrm{.}1m$ and angle $=69\mathrm{.}8637.$ The truss members are assumed to be pin$-$jointed.Problem $3$

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Consider the cantilevered truss in Figure P$3,$ which is supported by a pin at E and a roller at F$.$ It is loaded with four point forces: $F_1=9kN,F_2=13kN,F_3=14kN,$ and $F_4=15kN.$ The distance $L=1\mathrm{.}1m$ and angle $=69\mathrm{.}8637.$ The truss members are assumed to be pin$-$jointed.

a$)$ Determine the number of zero$-$force members in the truss. $[1$ mark$]$

Number of zero$-$force members in the truss $=$

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b$)$ Determine the vertical reaction force at support E$.$ Use a positive value to indicate an upward force and a negative value to indicate a downward force. Provide your answer in kN to at least $4$ decimal places. $[1$ mark$]$

Vertical reaction force at support $E[kN]=$

c$)$ Determine the horizontal reaction force at support E$.$ Use a positive value to indicate a rightward force and a negative value to indicate a leftward force. Provide your answer in kN to at least $4$ decimal places. $[2$ marks$]$

Horizontal reaction force at support $E[kN]=||$

d$)$ Determine the force in member $AB$ using the method of joints. Use a positive value to indicate tension and a negative value to indicate compression. Provide your answer in kN to at least $4$ decimal places. $[2$ marks$]$

Force in member $AB[kN]=$

e$)$ Determine the force in member Al using the method of joints. Use a positive value to indicate tension and a negative value to indicate compression. Provide your answer in kN to at least $4$ decimal places. $[2$ marks$]$

Force in member AI $[kN]=$