Consider the crane tower structure shown in Figure $3.$ A single point load $P(kN)$ is applied at node I as shown in the figure.

$[3$a$]$ Compute the support reactions at A and B$.$

$[3$b$]$ Identify all of the zero$-$force members. If you wish, you can simply copy and annotate Figure $3.$

$[3$c$]$ Using the method of joints $($or otherwise$)$ compute the distribution of tension and compression forces throughout the crane structure. Draw and label a diagram showing the distribution of forces in the simplified crane tower structure.

$[3$d$]$ If the maximum force any member can support is $10$ kN in tension and $7$ kN in compression, determine the maximum value of $P$ that the crane tower can safely carry.

$2$

Question $3$: $10$ points.

Consider the crane tower structure shown in Figure $3.$ A single point load $P(kN)$ is applied at node I as shown in the figure.

$[3$a$]$ Compute the support reactions at A and B $.$

$[3$b$]$ Identify all of the zero$-$force members. If you wish, you can simply copy and annotate Figure $3.$

$[3$c$]$ Using the method of joints $($or otherwise$)$ compute the distribution of tension and compression forces throughout the crane structure. Draw and label a diagram showing the distribution of forces in the simplified crane tower structure.

$[3$d$]$ If the maximum force any member can support is $10$ kN in tension and $7$ kN in compression, determine the maximum value of $P$ that the crane tower can safely carry.