how can i make shear force diagram of a simply suported beam if a vertical load is not passing thru centroid?

Question

I am designing a race car chassis. I have considered chassis as beam. In case of a bump, I have assumed that extra inertial loads will be acted on left tires (both front and rear). Now this means two vertical loads eccentric to centroid are acting on the beam. It beats me how to make the shear force or bending moment diagram in this case. Can anybody help?

Answer 1

What you have is a combination of a bending load and a torsional load on the beam, so you have a shear due bending in the vertical plane, combined with shear due to torsion.
You will have to combine these two shearing stresses to arrive at the maximum shear stress.
I can't tell you how to draw the shear load diagram for these combined loads, or even if you have to.
The torsional shear stress will be constant for the entire length of the member.

Answer 2

What is the load distribution? From their it is a simple division of the cross sectional area. Here is a shortcut. Where is the load at the max? Divide by the cross sectional area and work in a proper factor of safety. I will assume things like vibrations and other forces will be a factor. Therefore I would make it a safety factor of 2.5. This would be enough for racing.

Answer 3

The shear would be a outstanding perspective triangle with max on the helping end and 0 on the loose end The bending 2nd would be a parabolic shape back max at helping end and 0 on the loose end