Find Internal Resisting Torque of Each Segment of Shaft Under Multiple Torques & Make Torque Diagram

Описание: In this problem we want to determine the internal resisting torque in each segment of the displayed shaft and we also want to draw an internal torque diagram.
So to begin we need to define positive and negative torque. The convention I was taught is for the side facing you if the torque is rotating the shaft from top of the shaft to the bottom of the shaft it is negative torque.
For the side facing you if the torque is going from the bottom of the shaft to the top of the shaft it is positive torque.
So now to begin first we need to make sure the shaft is in equilibrium or in other words all the torques cancel out.
I will be working from left to right so first we incounter a negative torque of 2300 newton meters at A. Which is the torque going through segment a-b. we can plot the 2,300 newton meters on the internal torque diagram.
Next we come across another negative torque which is 3,100 newton meters at B. Taking the negative torque of 2,300 newton meters and adding the negative torque of 3,100 newton meters we get a torque at segment bc of negative 5,400 newton meters which we can plot on the internal torque diagram.
Our next torque we hit is the positive 6,900 newton meter torque at C. We can add this to the negative torque a plus negative torque b to get the torque at C-D doing so we get a torque of positive 1,500 newton meters
The last torque we get to is the negative 1,500 newton meters which when added to the torque a b and c equals zero
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Disclaimer
These videos are intended for educational purposes only (students trying to pass a class) If you design or build something based off of these videos you do so at your own risk. I am not a professional engineer and this should not be considered engineering advice. Consult an engineer if you feel you may put someone at risk.