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Lateral Torsional Buckling
3

Lateral Torsional Buckling

Lateral Torsional Buckling

(OP)
Does anyone have a paper or reference for a cantilever free at one end with an applied point load for both the strong and weak axis of a W Section?

Thanks...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

BA

RE: Lateral Torsional Buckling

(OP)
I'd come across that, but not an AISC member... thanks...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

(OP)
Great Link... I've cobbled together some calcs and will compare them to Galambos... $10 is cheap... I'll see if I can find a source first. I'll post my calcs in an SMath file...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

(OP)
@BART: took a peek at the document and will incorporate it into the solution... far beyond what I need, but I like doing this stuff and it is useful... will post the SMath when I've done it...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

(OP)
Does anyone have a copy of Timoshenko and Gere (1961) that can photograph or scan Table 6-3. It's part of the AISC approach. I'm comparing the different values for an LTB Cantilever post... Thanks

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

Quote:

Does anyone have a copy of Timoshenko and Gere (1961) that can photograph or scan Table 6-3.



In case that column on the left isn't too clear....that is (in order; top to bottom): l2C/C1, γ2, l2C/C1, and γ2.

By the way, I have the second edition.....so if this isn't what you are looking for: let me know.

RE: Lateral Torsional Buckling

(OP)
Thanks very much... I've done all the coding for it... just a matter of checking, then I'll post it. There are a couple of items that don't make sense... the Clark and Hill values are nearly 2x as high and the critical moment for the Modified AISC and the BASP values for UDL are lower than for a point load. Need to check... Again, thanks very much...only hole in the coding.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

(OP)
Thanks WARose, can I trouble you to scan equation 6-18 and the description of what coefficients C and C1 are? I'll see how the tabular values compare to the formula. Need C and C1 just to see where I am in the table.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

RE: Lateral Torsional Buckling

Quote:


Thanks WARose, can I trouble you to scan equation 6-18 and the description of what coefficients C and C1 are? I'll see how the tabular values compare to the formula. Need C and C1 just to see where I am in the table.

C=Torsional Rigidity= GJ

C1=Warping Rigidity= ECw

Cw=Warping constant

Eq. 6-18:

Pcr2[((EIηC)^0.5)/l2]

where:

Pcr=Buckling load at end of cantilever

Iη=principal moment of inertia about the weak axis (of I-beam)

l= length of cantilever

I figure you probably know the rest. Let me know if more info is needed.


RE: Lateral Torsional Buckling

Quote (dik)

Timoshenko and Gere (1961) that can photograph or scan Table 6-3.

dik:

From the T & G's 1963 2nd edition of Theory of Elasticity:

RE: Lateral Torsional Buckling

I was too slow...and WARose was too fast.

RE: Lateral Torsional Buckling

(OP)
and I tend to be half fast....bigsmile Thanks very much gentlemen...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik

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