X$=9,$ Y$=0,$ Z$=3.$

Q$1$: Draw the internal force diagrams $(N,V,M)$ for the given beam and loading condition.

$P=10+x+2y+5z,[kN]$

For the system given in the figure, if the load is acting at point $B$;

a$)$ Check the safety of the bars $BC$ and $AB.$ Note that the cross sections of the bars are identical.

b$)$ Calculate change in lengths of $BC$ and $AB$ bars $?,L_{AB}=?)$ and determine the displacement of point $B.$

c$)$ Based on the connection detail at point $C($Detail $C$ and section $1-1),$ determine appropriate pin diameter to transfer the shear force safely.

For the bars:

${}_{al}=14k\frac{N}{c}{m}^2,E=21000k\frac{N}{c}{m}^2$

$P=10+x+2y+5z[kN]$

For the pin:

${}_{al}=14k\frac{N}{c}{m}^2$