Beam
In the simply supported beam shown, what is the vertical reaction (lb) at Point B if the downward force is 50 lb?
Expand Hint
Draw the free body diagram:
Hint 2
Take the moment about Point A to reduce the amount of unknown forces.
$$$\sum M_A=0=Force \times Distance$$$
Draw the free body diagram:
Let’s take the moment about Point A to reduce the unknown variables down to 1 (
$$A_x$$
,
$$B_x$$
and
$$A_y$$
will zero out since their radius vector goes through Point A5). Remember,
$$Moment=Force \times Distance$$
:
$$$\sum M_A=0=50lb(4ft)-B_y(4ft+9ft)$$$
$$$B_y=\frac{50lb(4ft)}{13ft}=15.4\:lb$$$
15.4 lb
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