# What is the influence of a lever arm's flexibility on torque?

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1. May 6, 2015

### Connordzg

If you flex a pipe, the energy is stored in it (assuming it returns to its original state). If that pipe were being used as a lever, wouldn't the torque it can generate be influenced by the flexibility of the lever? Why doesn't the equation T=Fd take this into account? Would all of the applied force be transferred to the torque?

2. May 6, 2015

### Connordzg

What I mean by this, is that wouldn't some of the applied force be stored as elastic energy in the lever arm? If yes, wouldn't this result in a discrepancy between the magnitude of the applied force and the magnitude of torque it generates?

3. May 6, 2015

### Staff: Mentor

I believe that is correct. Just as if you had a spring that you were applying the force to the end of the lever through. That's why torque wrenches are usually made with very strong and stiff lever arms...

4. May 6, 2015

### rumborak

I'm not sure I agree. I'm assuming for a second the deformation is not so large that the geometry of the wrench would cause a different torque equation. In that case, once the wrench has reached its maximum bend, it will essentially behave like a completely solid wrench again.
So, while a certain amount of energy will have been lost, the torque, once the wrench is fully deformed, will stay the same. One during the deformation will it be lower.

5. May 6, 2015

### AlephNumbers

Didn't read the whole post I responded to.

6. May 7, 2015

### A.T.

No, force is not energy. At low accelerations, you can ignore the inertia of the lever and propagation velocity within the material. Then flexibility doesn't affect the relation between applied force and created torque. But a flexible lever might affect your ability to apply the force in the first place, and it affects the work you have to do, which will be stored as elastic energy.