Solving Arched Beam Homework - Bridge Weight Analysis

[Lambro6]

Homework Statement

We've built a bridge for a group project and we're trying to analyse the maths behind it to put on a poster.
I've included photos of the bridge, and a drawing of what I think the forces are, but I'm unsure how to solve it.
Our bridge broke at the 13th kilogram weight, so we're trying to solve for the 12kg weight.

Homework Equations

Not entirely sure which equations apply, but I assume;
ƩFx=0, ƩFy=0, ƩM=0 ??

The Attempt at a Solution

I'm not sure I've got the drawing right, so a solution could be unreliable.

Thanks :)

 

[KataKoniK]

Hello! Thank you for sharing your project and asking for help with the analysis. It's great to see young minds engaging in hands-on projects like building a bridge.

Firstly, great job on including photos and a drawing of the forces. This is a crucial step in understanding the problem and finding a solution.

Based on the information provided, it seems like you are on the right track with the equations you have listed. These are known as the equations of static equilibrium, and they are used to solve problems involving forces acting on an object that is not moving.

To solve for the 12kg weight, you will need to use these equations along with the information you have about the bridge breaking at the 13th kilogram weight. This means that at the point of failure, the sum of all the horizontal forces acting on the bridge must be zero, the sum of all the vertical forces must be zero, and the sum of all the moments (or torques) must be zero.

To find the specific forces acting on the 12kg weight, you will need to consider the forces acting on the entire bridge and then use proportionality to determine the forces acting on the individual weights. This is where your drawing will come in handy, as it will help you visualize the forces and their directions.

I would also recommend consulting with your teacher or a mentor for further guidance and to ensure that your calculations are accurate.

Overall, it seems like you are on the right track and with some careful analysis and calculations, you should be able to find a solution for the 12kg weight. Keep up the good work and don't hesitate to reach out for help if needed. Good luck with your project!