How can I calculate the deflection of a Cantilever beam if there is a load at different points on the beam? My current scenario is the following → I have a ruler that I have modelled to be cantilever and I am moving a piece of blu-tac down the ruler to calculate different resonance frequencies. Is there a formula relating the position of blu tac and deflection? Or any relationship between this and its centre of gravity
The theoretical method is
- Draw the shear force and bending moment diagram for the beam with the point load
- Calculate the curvature at any point from the bending moment
- Integrate the curvature twice to get the deflection
You should find this in any textbook on "strength of materials" with a section on beam bending.
The practical method is find a beam calculator program on the internet that does the calculations for you!