## Simply Supported

In the simply supported beam below, what is the vertical reaction at Point A if the downward force is 200 N?

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__**Hint**

**Hint**

Draw the free body diagram:

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__**Hint 2**

**Hint 2**

Take the moment about Point B to reduce the amount of unknown forces.

$$$\sum M_B=0=Force \times Distance$$$

First, draw the free body diagram:

We can 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,
$$Moment=Force \times Distance$$
:

$$$\sum M_B=0=200N(12m)-A_y(12m+6m)$$$

$$$A_y=\frac{200N(12m)}{(18m)}=133.3\:N$$$

133.3 N