Simply Supported
In the simply supported beam shown, what is the vertical reaction (lb) at Point A if the downward force is 200 N?
Expand Hint
Draw the free body diagram:
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:
Let’s take the moment about Point B to reduce the 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
Time Analysis
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