Beam bending Definition and 61 Threads

Homework Statement im trying to write a program for a class but first i need the formulas for the bending moment and shear force. i have the displacement and angle of the cantilever beam under a point load: Y = -[(WX^2)/(6EI)][3a – x] for 0<x<a Y = -[(Wa^2)/(6EI)][3x – a] for a<x<L...

Hello all I have a beam bending problem I need some help on. I need to calcuate the deflections at the load (and in the plane of the load) for a simply supported beam with equal point loads overhanging the supports. However my beam is cranked as shown in the attached diagram of the problem...

I would appreciate it if some one could help me with this. I read from Timoshenko's book Theory of Elasticity that for prismatical beam bending (uniaxial), the assumption is \sigma_x>>\sigma_z,\sigma_y=0 where \sigma_x is stress in the direction parallel to the deflection curve. And for...

Homework Statement This is a two part question. In the first part you are asked to determine the mam moment that can be applied to the beam if it is bent about the z axis. They then ask you to redo the question bending about the y axis. This is probably a really simple question but what is the...

I have been trying to analyze the deflection of the free end of a cantilevered beam with a point load P at the end. The trick is, the beam is supported underneath by a surface described by the arbitrary function g(x). So let's say that g(x)= 0.001*x^2, a very shallow parabola. As the beam...

If you have two beams, not attatched to each other, placed on top of each other in 3 point bending simply supported, what do you do to find the first moment of area and moment inertia of the two beams. Thanks

!Help Please! Bending (stuck) Homework Statement Homework Equations \sigma_{max}=\frac{Mc}{I} The Attempt at a Solution I am not sure where I am messing this up. I am pretty I found I correctly to be 140.144. But I think I am using the wrong internal force. I am...

I'm stuck on a beam bending problem I have. I have 2 cantilever beams one one top of the other applying a force. I need to know find the stress on the left hand beam and the deflection. I have the formulas (using Roark's formulas of stress and strain) but there's nothing about two cantilevers...

in beam bending the resistance of a cross section is measure by moment of inertia about centroidal why. How do we know that the bends only about the centroidal axis . Any detailed discussion on this?

Hey-- I'm trying to model the bending of a beam due to electrostatic forces. (Femlab does offer this model on their website, but the module I'd need to run it costs $600!) I have no problem modeling a beam bending, and I have no problem creating a parallel plate capacitor, but when I...

how do we say that in a beam bending problem the bean cross section bends(rotates)around the centroidal axis. Why not about any other axis?