00:01
So here we are shown the element let's say this is the element 50 ksi, 25 ksi, 30 ksi, 50 from outward.
00:18
So this is the values which we are given.
00:21
This is representing y -axis, this side is representing x -axis.
00:24
For the element which we are shown here we have to complete the state of the stress at the orientation of the 30 degree for the horizontal using the values.
00:36
So we are considering about the part a.
00:38
So using the equation of the equilibrium, we are considering let's say we are having this box.
00:49
So this is representing 50 ksi towards outside and 50 ksi again from the opposite side outward.
00:56
Let's say we are considering that the angle is 30 degree oriented.
01:00
So let's say the cross section is 30 degree oriented in this case.
01:03
So we are considering that summation of f of x in this case become equals to 0.
01:08
So fbd in this case will be 50 multiplied by the a.
01:11
Sigma dash which is multiplied by the course of 60 degree multiplied by the a dash plus tau dash multiplied by the course of 30 degree which is multiplied by the a dash.
01:21
So 50 multiplied by a is equal to sigma dash multiplied by the course of 60 which is multiplied by the 2a plus tau dash multiplied by the course of 30 degree which is further multiplied by the 2a.
01:33
So solving the term from here so 2 of sigma dash multiplied by the course of 60 degree plus 2 of tau dash multiplied by the course of 30 degree is equals to 50.
01:42
Let's say this is the equation number 1.
01:45
Now we are considering about summation of delta of y that is equals to 0...