$+-$ Space Trusses

Part A

A space truss is subjected to a load of $F=\{110i-450k\}lb($Figure $1)$ Three ball$-$and$-$socket joints at $C,E,$ and $G$ support the space truss. If $F_x=110lb,F_z=450lb$ in the negative $z$ direction, and $d$

$=4\mathrm{.}00ft,$ what is the magnitude of the force in member $AC?$ Indicate a tensile force as a positive value and a compressive force as a negative value.

Express your answer numerically to three significant figures in pounds.

View Available Hint$($s$)$

Learning Goal:

To analyze the forces within space truss members and the reaction forces that act on

space trusses

A space truss is a stable three$-$dimensional structure that consists of members joined

at their ends. If the external loading is applied at the joints, and the joints are ball$-$and$-$

socket connections, the members of a space truss may be treated as two$-$force

members.