Monorail Design
Monorail Design
(OP)
I am collaborating on a spreadsheet for the design of monorails for underhung hoists. My colleague is a bit older than I am and has some formulas and information that we cannot verify. He has been working in the industrial sector and this is the way it was always done. I would like to verify these formulas and information so our spreadsheet can be complete and I understand the logic. The problem we are having is with local flange bending, especially for S shapes. AISC does not address local flange bending caused by a point load applied to the flange. AISC only addresses local flange bending for moment connections with a plate welded to the flange. These are my questions:
1. What is the effective length (cantilever length) of a flange in local bending?
We use:
W-shape: bf/2 - k1
S-shape: (bf-tw)/2 - R
R for an S-shape is the radius of the fillet. We can't find the R anywhere except where he had it written down, so we can't verify the values.
2. How do you calculate the effective flange thickness of an S-shape?
We use: tf + (effective flange cantilever - calculated above) x 0.166.
We can't find any references for this equation. It was just always done that way. Does anyone know this equation? What do you use to calcualte the effective flange thickness of an S-shape?
3. How do you determine the effective width of a flange in local bending? We use: 2 x (effective flange cantilever length)
4. Perhaps you use the same equations and information. If so, do you have the references. If you use other methods, do you have referenced for those methods.
1. What is the effective length (cantilever length) of a flange in local bending?
We use:
W-shape: bf/2 - k1
S-shape: (bf-tw)/2 - R
R for an S-shape is the radius of the fillet. We can't find the R anywhere except where he had it written down, so we can't verify the values.
2. How do you calculate the effective flange thickness of an S-shape?
We use: tf + (effective flange cantilever - calculated above) x 0.166.
We can't find any references for this equation. It was just always done that way. Does anyone know this equation? What do you use to calcualte the effective flange thickness of an S-shape?
3. How do you determine the effective width of a flange in local bending? We use: 2 x (effective flange cantilever length)
4. Perhaps you use the same equations and information. If so, do you have the references. If you use other methods, do you have referenced for those methods.






RE: Monorail Design
I seem to remember that the slope of an S-shape flange is 1 in 12. If you know the thickness of the flange tip, this will give you the thickness at the radius.
I use 2.5 times the cantilever length for effective width in this type of situation. This is from Fisher's book on joist and joist girder design.
DaveAtkins
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did you mean aisc.org? The sist is about tonsils.
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try again. www.aist.org (The Association for Iron & Steel Technology)
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RE: Monorail Design
Publication number 74 from the Crane Manufacturers Association of America (CMAA) will help you out. It outlines how to calculate local bending of flanges due to wheel loads. It's not expensive and worth it to have as a reference.
RE: Monorail Design
1. Formulas seem reasonable. R for S shapes is not given in CISC Handbook either.
2. I don't know what you mean by "effective flange thickness" of an S-shape. It is not a property I have ever calculated.
You said: If tf is the thickness at the flange tip, your formula would give you the thickness at the start of the fillet. However, CISC lists mean flange thickness. If tf is mean flange thickness, the formula makes no sense to me.
3. I don't know what is meant by effective width in local bending, so I cannot help you.
BA