00:01
Okay, so we have this setup.
00:03
We have a rigid beam supported by these two cables.
00:07
We know that those cables are steel, and we're given their diameters here.
00:14
And we have this distributed load, w, has magnitude w and width x.
00:23
Our goal is to find out values of w and x so that the cables on either end remain unstretched.
00:35
So what that means is we need two equations for w and x.
00:39
So the first thing i'm going to do is resolve the distributed load into a single force.
00:45
And i'm going to draw a free body diagram for the beam and determine the tensions.
00:54
And then once i know the tensions, i can equate them well or equate the stresses.
01:06
So w, let's call capital w, the net force.
01:13
So that's, all right.
01:28
And then we have to figure out where that's located.
01:36
And there's no real surprise there.
01:41
So that the point of application is in the middle.
01:45
So let's draw a free body diagram for the beam now.
01:54
So let's see.
02:01
So we got it.
02:42
So then in the y direction, we get a force equation that looks like this.
02:55
Remember, w and x are constants that we're trying to figure out.
03:01
And then our torque equation or moment...