Macaulay's beam deflection

In summary, Macaulay's beam deflection is a mathematical method used to determine the vertical displacement of a beam under a given load. It is calculated by integrating the bending moment equation over the length of the beam and making certain assumptions about the beam, such as being initially straight and having a constant cross-sectional area. This method has limitations, such as only being applicable to certain types of beams and not considering shear deformation or warping, but it can provide reasonably accurate results for many engineering applications.
  • #1
febbie22
37
0
Hi, quick question

Ive been using the beam deflection forumla EIV=...

and I am getting answers of 1.9mm for example

does this mean that the deflection is in the south direction or north?

Cheers
 
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  • #2
Surely you can figure this out based on where the load is placed?
 
  • #3
yeah i know but I am just getting confused cause there's more than one load
 
  • #4
febbie22: Using the Macaulay method, positive answers usually mean upward deflection.
 

1. What is Macaulay's beam deflection?

Macaulay's beam deflection is a mathematical method used to determine the vertical displacement of a beam under a given load. It takes into account the bending moment, shear force, and distributed load along the length of the beam.

2. How is Macaulay's beam deflection calculated?

The Macaulay's beam deflection formula involves integrating the bending moment equation over the length of the beam and then solving for the unknown deflection. This can be done manually or by using software programs such as MATLAB or Excel.

3. What are the assumptions made in Macaulay's beam deflection method?

The main assumptions are that the beam is initially straight and has a constant cross-sectional area, the material is linearly elastic, and the beam is subjected to static loading (no dynamic effects).

4. What are the limitations of Macaulay's beam deflection method?

This method is only applicable to beams with simple or continuous supports and uniform loading. It also does not take into account the effect of shear deformation or warping of the beam.

5. How accurate is Macaulay's beam deflection method?

The accuracy of this method depends on the assumptions made and the complexity of the beam's loading and support conditions. It can provide reasonably accurate results for many engineering applications, but more advanced methods may be necessary for highly complex situations.

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