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Torque based bending on shaft

Engineering Asked on August 25, 2021

I wanted to see if the force acting at A (30 kN) would create a deflection from OB other than twist. In other words, would a force perpendicular to the axis of rotation cause anything other than twisting?

2 Answers

Yes the force will have at B a torque of

T= -30* 0.8= -24kN.m

And BO will act as a cantilever beam under 30kN upward load. The moment upward at 0 will be:

M= 30kN * 1.2 =36kN.m upward.

Assuming up as positive sign fo force.

So the BO will both twist clockwise and bend upwards. Below is an exaggerated sketch of the deflected bar.

deflected rod

Answered by kamran on August 25, 2021

This is a riff on @kamran's answer, but I hope it's different enough to be worthwhile.

Look at the arm AB, and the action of the upward force. Now do the statics around just the arm -- you'll find that at point B, there is an upward force and a moment.

As long as the deflection in the member from B to O is small enough, and nothing hits its elastic limit or just plane breaks, you can separately calculate the effect of the torque from the effect of the upward force. When you're done, you can add those effects together for a final answer.

Answered by TimWescott on August 25, 2021

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