00:01
Hello, in this question we are given the stresses.
00:05
The stresses are following, okay? let me draw 5 pounds per square inch.
00:16
I will not write the units, okay, you can understand it because if i write the unit, the diagram will not be so much clear.
00:23
So 5 kilo square inch, kilo pound per square inch is the tensile stress on, i will represent it as x and it is 1.
00:36
On the x -axis it is 5.
00:39
On y -axis it is compressive 10.
00:45
And this is 12.
00:47
Sear stress is acting 12.
00:51
It is 12.
00:54
So first of all, i will tell you the sign convention for more circle.
00:59
For more circle, positive for tensile stress, negative for compressive stress, and positive for that shear stress, that will be giving us clockwise movement about the center of the element so about center of the element this is giving the colloquial moment so point let me name this as point p so the point p and point q we will get two points on the more circle so point p will be 5 .12 and point q will be minus 10 comma minus 12 these two will be the points on the diametrically opposite ends of the more circle so let me draw the more circle now so this is the more circle so one point will be 5 .12 it is something 5 .12 and another will be minus 10 comma minus 12 it will be minus 10 comma minus 12 okay so so let me join these two and so we will get the center of the more circle.
02:27
If this is x comma 0 then x will come out to be 5 plus of minus 10 divided by 2.
02:35
It will come out to be minus 2 .5.
02:38
So the center of the more circle will be minus 2 .5 .0 and if this will be the more circle so the diagram is not.
02:56
So much clear this is a circle or this is the origin okay so you can draw it on your own also so let me try to do it more clearly this time if this is the more circle yeah it's perfect now the center is minus 2 .5 .0 and this is 5 .12 this is minus 10 comma 12.
03:42
Okay.
03:44
And so radius of the more circle will be...