00:01
Hello, so the first step to determining the maximum torque from the geometry in figure one, the force creates a torque about the shaft axis at section a.
00:11
So we can write t is equal to f times r, which is equal to 45 ,000 newtons times 0 .15 meters, and that's equal to 6 ,750 newtons times meters.
00:25
Now, the analysis of this is that we have to find the required diameter using both maximum shear stress theory and distortion energy theory.
00:33
So for the next step, we're going to find the torsional sheer stress expression.
00:38
And we have the shear stress is equal to t times c over j, where c is equal to d over 2, j is equal to pi d to the power of 4 over 32.
00:54
And so we're left with an equation that looks like 16 t, pi d to the power of 3.
01:03
So the first thing we need to find is the maximum sheer stress.
01:07
The treska criterion states that the sheer stress must be less than or equal to the sum of y over 2n and that's equal to 207 over 4 which is equal to 51 .75 mpa.
01:26
Now substitute this into detortion equation...