00:01
Here we have a beam that is supported by a pin joint here and a roller on the other end.
00:09
And they have a couple of distributed load acting that is constant over on the right -hand side and is linearly varying on the left -hand side.
00:20
So what i did is i just kind of, i broke that up into two equivalent point loads.
00:26
And one for this right -hand side, which is flat, so that's easy to figure out, because that one's going to be right at the center.
00:34
And now this one here, we need to figure out its magnitude and its location.
00:41
So the magnitude is just the area under this curve.
00:45
So we can write a curve, write an expression for that, which is minus 900 plus 100x.
00:52
And so you get the area under that curve is minus 2 ,250 newtons.
00:58
So that will be the magnitude of this.
01:00
And now we need to figure out the equivalent location.
01:05
So that would be where the moment, we can find that by looking at the moment that this distributed load creates.
01:14
And that looks like kind of the first moment of this expression, so of the area here.
01:21
And so we multiply this by x and then integrate over x.
01:27
And again from 0 to 3.
01:32
And we have, you find that x equals x1 the distance here...