Simple Cantilever Beam Equation
Simple Cantilever Beam Equation
(OP)
I am a mechanical engineer who seems to be a bit out of practice with my old statics and physics equations. The company I work for builds garage doors and we have an aluminum extruded strip that runs the length of the bottom of each garage door. This strip has a trough that allows us to attach our astragal which is a vinyl flap that helps seal out light and moisture from under the door. We want to rollform a shape out of steel to replace the extruded aluminum astragal retainer. The side profile of the part would be roughly a 'Z' shape with the bottom holding the vinyl astragal and the top protruding and acting as a step to help close the garage door when done manually.
I am wondering if a .034" thick 45ksi steel shape that protrudes 1.25" would permanently deflect when a person weighing 200 lbs steps on it. I think this is a fairly basic cantilever beam calculation but unfortunately I have forgotten most of that. This is a cantilever beam that protrudes 1.25" long and is .034" thick with a width of 6 to 20 feet. Any help would be greatly appreciated. Thank you.
I am wondering if a .034" thick 45ksi steel shape that protrudes 1.25" would permanently deflect when a person weighing 200 lbs steps on it. I think this is a fairly basic cantilever beam calculation but unfortunately I have forgotten most of that. This is a cantilever beam that protrudes 1.25" long and is .034" thick with a width of 6 to 20 feet. Any help would be greatly appreciated. Thank you.






RE: Simple Cantilever Beam Equation
RE: Simple Cantilever Beam Equation
RE: Simple Cantilever Beam Equation
Here is the equation that I have used for deflection:
defl = AppliedLoad*LengthofStep^3)/(3*ElasticModulus*MomentofInertia)
= P * L^3 / (3 * E * I)
And here is the equation that I have used for stress:
stress = AppliedLoad*LengthofStep*1/2MetalThickness/MomentofInertia
= P * L * C / I
The results seem to be reasonable so I think the calculation formulas are correct. If anyone has the chance to check them however that would be great. Thanks again for the help.
RE: Simple Cantilever Beam Equation
RE: Simple Cantilever Beam Equation
RE: Simple Cantilever Beam Equation
RE: Simple Cantilever Beam Equation