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P-delta Effect

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SPR Baker

Structural
Joined
Nov 12, 2017
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KH
Dear All
I am not clear on upper limit of1.4 on the second to primary moment ratio.
M2nd-order=< 1.4M1st-order. the question is which moment ( M2nd-order (Pdelta(big))(Sideway only) or M2nd-order (P delta(big)+delta(small))(Sideway+slenderness effect) )to compare with M1st-order?
Thank you

Pdelta1_ocrb74.png
Pdelta2_yehtpz.png
 
This is similar to the AISC limit on second-order amplification (B2 factor) in the Effective Length Method, Appendix 7, and recommended limit on the Direct Analysis Method in the commentary to Chapter C.

If the second-order effect is large, the system might be close to buckling. If it is close to buckling then a more sophisticated analysis might be warranted.
 
This section of ACI is all about big delta, not little delta. Is that your question?

DaveAtkins
 
Dave, the commentary shown above, last paragraph, seems to agree with you.

I could see this applying to P-little delta in a few odd cases. For example, we once had a tall concrete column at the back of a theater stage. P-little delta played a big role. I could see limiting the amplification (B1 factor in AISC Appendix 8) for that also. I am not sure that's the intention of the section in question, though.
 
I believe this applies to both Big P-Delta in consideration of your global lateral system and Little P-Delta in consideration of local column effects.
 
Both P-δ and P-Δ.
If you assume your frame is nonsway, then there will be no P-Δ effect (6.6.4.5 accounts for P-δ effect. Member deflection as it approaches buckling), yet you're still required to perform the upper limit check.
Therefore P-δ must be included in addition to P-Δ for frames that are not nonsway.
 
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