two rods stretch angled force 01

Rods AB and AC will have circular cross-sections, and will be used to support a force of 7.7 kN applied at an angle of $\theta$ = 10 degrees as shown. Rod AB will be composed of malleable cast iron, and rod AC will be composed of annealed titanium alloy. Attachment points B and C are at the same height. The dimensions of the assembly prior to loading are given as:

a	b	c
162 cm	55 cm	115 cm

If the design is to have a factor of safety against yielding of 1.35, find:
(a) the minimum allowable diameter of rod AB,
(b) the minimum allowable diameter of rod AC.

(a) $d_{AB}$ =
(b) $d_{AC}$ =

Using the diameters found in (a) and (b), find:
(c) the change in length of rod AB due to the applied load,
(d) the change in length of rod AC due to the applied load,
(e) the distance point A will move in response to the applied load,
(f) the direction point will A move in response to the applied load.

(c) $\delta_{AB}$ =
(d) $\delta_{AC}$ =
(e) $\delta_A$ =
(f) direction =
report the direction of movement as an angle relative to the positive x axis, CCW positive, ranging from -180 degrees to +180 degrees.

be sure to include units with your answers