Reaction Forces - Bending Moment Diagram - Shear Force Diagram

[MatthewMansfield]

Hello all


I was hoping i could get some support on calculating re-action forces and creating a shear force and bending moment diagram.

Some of the examples i have worked on relate to a beam supported at either end.

But the example below has gotten me a little confused.

I have a 21m member that is supported at 4 points along the member spaced 7m apart. The member is UDL loaded with 200kN/m. (assumed no horizontal forces).

I can work out an equivalent point load of 4200 acting at the center on the member (10.5m from the ends).

Not sure what to do from here?

Can anyone help?

Thanks

https://files.engineering.com/getfi...-3031-4507-8589-fa251065f143&file=Example.png

 

[r13]

The simplest solution is using moment distribution method, and work out reactions from there. Didn't the school teach that?

 

[Agent666]

tables exist for this type of simple loading and equal spans. However if you want to learn how to do any other configuration you should look into the moment distribution method mentioned by r13.

 

[Agent666]

The attached file outlines most common and some not so common loading scenarios and fixed end moments if you're going down the moment distribution route.

 

[goutam_freelance]

I have used a classical approach to solve for statically indeterminate forces and moments. Symmetry is used to simplify calculations. However, this method can not be generalised for complex cases.

Engineers, think what we have done to the environment !

https://www.linkedin.com/in/goutam-das-59743b30/