![Bending moment shear and deflection of beam software pdf Bending moment shear and deflection of beam software pdf](https://mechanicalc.com/static/img/Beam/Theory/Optimized/generic-shear-moment-diagram-01.png)
Shear and Moment Diagrams. A shear diagram shows the shear along the length of the beam, and a moment diagram shows the bending moment along the length of the beam. These diagrams are typically shown stacked on top of one another, and the combination of these two diagrams is a shear-moment diagram. This Software allows you calculate deflection (elastic curve), shear force, bending moment, slope and reactions for multiple types of beams and loads.
Structural Beam Deflection Equations and Stress Formula and Beam Deflection CalculatorsStructural Beam Deflection, Stress Formula and Calculator:The follow web pages contain engineering design calculators that will determine the amount of deflection and stress a beam of know cross sectiongeometry will deflect under the specified load and distribution. Please note that SOME of these calculators use the section modulus of thegeometry cross section ('z') of the beam. You will need to determine the moment of inertia of the cross section and the distance from theneutral axis to the edge of your geometry. Should you find any errors omissions broken links, please let us know -. Do you want to contribute to this section? SeeRelated:. Premium Membership Required to view Document/Book.Check these out:.
This calculator is based on Euler-Bernoulli beam theory. The Euler-Bernoulli equation describes a relationship between beam deflection andapplied external forces. The simplest form of this equation is as follows:`EI((d^4w)/dx^4)=q(x)`The Shear Force and Moment can be expressed, respectively, as:`Q=-EI((d^3w)/dx^3), M=-EI((d^2w)/dx^2)`The nice thing about this theory is that we can use these equations along with the boundary conditions andloads for our beams to derive closed-form solutions to the beam configurations shown on this page. The bendingmoment, shear force, slope and defelction diagrams are all calculated using the above equations.Need more power?Of course, it is not always possible (or practical) to derive a closed-form solution for some beam configurations.If you have a beam with complex boundary conditions and loads you're better off solving the problem numerically withthe finite element method like this.