Lateral Torsional Buckling 3

[dik]

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

 

[BAretired]

BA

 

[dik]

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

 

[BAretired]

Neither am I, dik, but ten bucks seems reasonable.

You could check this, but it doesn't address biaxial bending:
thread507-320359

BA

 

[dik]

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

 

[dik]

@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

 

[dik]

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

 

[WARose]

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.

 

[dik]

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

 

[dik]

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

 

[WARose]

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= EC_w

C_w=Warping constant

Eq. 6-18:

P_cr=γ₂[((EI_ηC)^0.5)/l²]

where:

P_cr=Buckling load at end of cantilever

I_η=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.

 

[Ingenuity]

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

dik:

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

 

[Ingenuity]

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

 

[dik]

and I tend to be half fast.... 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