I'm designing a machine that can be simplified as a log splitter. It will have a long, central beam that will resist both the forces of a force pushing out and the moment that will be caused by the force being resisted a distance away from the centerline of the beam. For simplicity, the two sides will have equal/opposite loads and moments.
It has been a few decades since I was in engineering school, so I want to check my assumptions:
- As far as beam deflection, the tensile force pulling the beam apart can be ignored
- As far as beam deflection, the important load is the torque/moment being applied by the force times the distance from the centerline.
- To use standard beam deflection formulas, I can model half the beam as a fixed cantilever beam with an end moment, because the other half will act as the "wall" the cantilever beam is attached to.
- For maximum tensile load, I would use the tensile load from the force as if it was applied to the center-line, and then add the forces caused by the moment.
Assuming those assumptions are correct, I only have one remaining question: if the cross-section of the beam is not symmetrical top to bottom, how do I determine what the centerline of the beam is to determine the moment applied? (Assuming the stand offs are perfectly rigid)