$14$ Problem $4)$ Beam Statics $(1/8)$ New Task!

Consider the massless horizontal beam AG of length $6$a and negligible thickness. The beam is fixed to a vertical wall at point A and has a free end at position $G.$ The beam is loaded by a external moment $M_B=\frac{1}{2}aF$ at position B$,$ a external force $F$ at position $F$ with an angle of $30$ with respect to the horizontal and a distributed load with amplitude $q_0=\frac{F}{3a}$ as shown in the figure.

$4.$

cuunter$-$cluckwise $1$s

positive!

$3$a$)$ Draw the Free body diagram for the given problem. Then answer the following questions.

i$)$ Replace the distributed load by a resultant force and state the position and size of that force.

Position

$(1)$

Magnitude

$F=$

ii$)$ How many support reactions are at points A$,$ B and G$?$

Number of support reactions at point $A=$

Number of support reactions at point $B=$

Number of support reactions at point $G=$

$(5)$