Vertical Force
In the frame shown, what is the vertical reaction force (N) at Point A?
Expand Hint
Draw the free body diagram:
Hint 2
Take the moment about Point B to solve for the unknown:
$$$\sum M_B=0=Force \times Distance$$$
First, draw a free body diagram and solve for the unknown horizontal leg,
$$h$$
:
$$$tan45^{\circ}=\frac{3m}{h}\rightarrow h=\frac{3m}{tan45^{\circ}}=\frac{3m}{1}=3\:m$$$
Because Points A and B are fixed supports, they have both x and y force components. Let’s take the moment about Point B to reduce our unknown variables down to 1 (
$$A_x$$
,
$$B_x$$
and
$$B_y$$
will zero out since their radius vector goes through Point B). Remember,
$$Moment=Force \times Distance$$
:
$$$\sum M_B=0= 200N(3m)-A_y(3m)-A_x(0)$$$
$$$A_y(3m)= 200N(3m)\rightarrow A_y=200\:N$$$
200 N
Time Analysis
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