Calculate the maximum force on a wheel passing over an obstacle?

[Fran]

Homework Statement

I have to design a rigid wheel for a 4 wheel vehicle that will be able to traverse rough terrain. The wheel I have in mind is a cylinder with two disks with spokes at almost both edges.

I don't know how thick the cylinder or how many spokes the disks should have so I thought finding the maximum force on the cylinder when going over an obstacle would be a good idea to get a thickness for the cylinder (outer-inner diameter).

Once I had R my idea was to do treat the surface as a beam problem and find the thickness required to achieve a stiffness that leads to no deflection.

Factors I know:
Diameter of wheel
Torque and RPM of motor

Please help me as I've been thinking about this for quite some time as well as doing free body diagrams with no progress. I don't know how to find R or if my approach is the correct one. I basically want to know how thick the sheet that makes the cylinder for the wheel has to be to survive climbing over an obstacle.

Relevant Equations

Free Body Diagrams

Homework Statement: I have to design a rigid wheel for a 4 wheel vehicle that will be able to traverse rough terrain. The wheel I have in mind is a cylinder with two disks with spokes at almost both edges.

I don't know how thick the cylinder or how many spokes the disks should have so I thought finding the maximum force on the cylinder when going over an obstacle would be a good idea to get a thickness for the cylinder (outer-inner diameter).

Once I had R my idea was to do treat the surface as a beam problem and find the thickness required to achieve a stiffness that leads to no deflection.

Factors I know:
Diameter of wheel
Torque and RPM of motor

Please help me as I've been thinking about this for quite some time as well as doing free body diagrams with no progress. I don't know how to find R or if my approach is the correct one. I basically want to know how thick the sheet that makes the cylinder for the wheel has to be to survive climbing over an obstacle.
Homework Equations: Free Body Diagrams

 

[Abhishek11235]

Assumption:
Wheel rolls over ground
Hint: Conserve angular momentum around P,the corner point where R acts(No torque acts about P)

From above,you get angular velocity just as wheel begins to roll about corner point P.

Conserve energy: The minimum speed must equal mgh to just climb step(since static friction acts in rolling,this is valid step).

Now put numbers of your choice!