00:01
So this problem is a bearing light application.
00:21
So we can start with problem a, and this is finding the equivalent load.
00:45
So we can use the equation f -e is equal to x, i, the f -r, plus y -i, f -a, so we can start by defining the axial load, and that's f .a.
01:32
So this is 400 pounds force.
01:39
Then we have the radial load, and this is fr, and this is 500 pounds force.
02:01
Then the outer ring stationary is v is equal to 1 .2.
02:27
So what we need to determine are the values for xi, y, i, and e.
03:09
So we can compute the following ratio, f, a, over v, f, r.
03:22
So this is synonymous with 400 divided into the product of 1 .2 times 500.
03:35
So this is 0 .667.
03:45
So if we identify that f .a.
03:53
Over v, f, r is greater than e, we can then use i is equal to 2.
04:09
So you'll need to pull values of x2, y2, and e, from the bearing manufacturers table, and that is for skf -60 -10.
04:44
So suppose we access that information.
04:50
This will then yield x2 as 0 .56, and then y2 as 1 .45.
05:09
So this means we can calculate the fe value as equal to 0 .56 times 1 .2 times 500 plus 1 .45 times 400.
05:41
So this is equal to 916 pounds force.
05:52
So that's the equivalent load, the solution to problem a.
06:01
So we go to problem b.
06:04
And this is the estimating the l10 life at 720 rpm.
06:13
So we could write this at l10 life at 720 rpm.
06:28
And we'll say estimate.
06:32
So we could use l10 and it having a definition, rationmetically, a c -10 over f -e to the a power.
07:11
So if we're dealing with the ball bearings, so ball bearing, or ball bearings, we could, or we can define e.
07:36
A is 3 and then c10 as 7900 pounds force.
07:49
So then we have l10 is equal to 7900 divided into 916 cubed, the third power.
08:10
So this is approximately 642 .42 million.
08:28
Revolutions.
08:48
All right, so now we can convert this value to hours at 720 rpm.
09:02
So that is life in hours.
09:23
So we get 642 .2 million...