nate9519 said:This isn't a homework question. I just have a thought I'd like an answer to. When I think of a bending beam it's obvious to me that the point on that beam which is under the most stress would be the center ( assuming equal loads on each side).
my question is what is the scientific explanation for this and what formulas and principles are associated with an example like this?
Stress in a bending beam refers to the internal force or pressure that is exerted on a beam when it is subjected to a load or weight. It is a result of the beam's resistance to bending.
Stress in a bending beam is calculated using the formula σ = (M*c)/I, where σ is the stress, M is the bending moment, c is the distance from the neutral axis, and I is the moment of inertia of the beam.
The amount and distribution of the load, the material properties of the beam, the shape and dimensions of the beam, and the boundary conditions can all affect stress in a bending beam.
Some common types of stress in a bending beam include tensile stress, which occurs on the bottom of the beam, and compressive stress, which occurs on the top of the beam. Shear stress can also be present along the length of the beam.
To reduce stress in a bending beam, the design of the beam can be altered to better distribute the load, or the material properties of the beam can be changed. Adding additional supports or increasing the beam's dimensions can also help to reduce stress.