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Ponding analysis by manual calculation

Ponding analysis by manual calculation

Ponding analysis by manual calculation

(OP)
I have a project where an engineer used an in-house procedure to check some long span roof joists for ponding loading.  

The roof uses primary drains only and then depends upon over-the-roof flow of water to scuppers at a far end of the building.  There are about 4 to 5 valleys that have these primary drains and the water must flow over the various ridges which about 3" high or so, to get to the scuppers.

I honestly don't know what the exact procedure is but I think it is essentailly this:
1.  Load up the roof joist with the initial water assuming the drain is clogged.
2.  The joist deflects downward some initial amount.
3.  Recalculate the new depth of water based on the now-deflected shape of the joist.
4.  Re-calculate the new deflection of the joist based on the re-calculated depth of water.
5.  Repeat until convergance.

I don't know the validity of this process.  

I checked the joists against AISC for ponding (9th Edition and second Edition section K2 or Appendix 2 in the new 13th Edition).  This check revealed that the joists were no good in terms of ponding control.  

However, the engineer states that the AISC provisions only determine IF you need to further check for ponding....not whether there is a problem with ponding.  He claims that his method above then satisfies the code with respect to ponding.

The actual language that AISC uses is:  The roof system shall be considered stable for ponding and no further investigation is needed if both of the following two conditions are met:....

This seems to imply a "further investigation".

I've never thought of it like this before.  I've always taken the AISC provisions as determining if the joists are inadequate for ponding or not.  

I've never heard that they simply determine whether a further check is required.

Thoughts on this?

RE: Ponding analysis by manual calculation

I don't know anything about the AISC provisions, but your five-step procedure looks reasonably sound.  But it would be tedious, particularly if you were close to a ponding situation (for which the convergence would be very slow).

Under many circumstances the differential equation governing the deflection of a beam subject to ponding is identical to the differential equation for a beam on an elastic foundation.  The only difference is that the ponding case has a negative "foundation stiffness".  If the resulting DE has a solution then ponding will not occur.

If you have access to any software for the BEF problem that allows you to specify negative BEF foundation stiffnesses then you might be able to use that software to solve your problem in the one pass.

Alternatively, if you have a simple beam program that allows negative nodal support springs, you could approximate the "true" BEF situation through modelling a series of closely spaced (negative) springs.
 

RE: Ponding analysis by manual calculation

If you cannot satisfy the ponding requirements using equations K2-1 and K2-2 in AISC (9th Edition), then you can use the curves in the AISC Commentary.

I think the approach this engineer used is valid as long as the stress in the joist does not exceed 0.8*Fy.

DaveAtkins

RE: Ponding analysis by manual calculation

(OP)
Thanks for the replies.

While his approach does seem reasonable, I guess I'm confused by my main question:

If the AISC ponding checks show No Good...does this imply a need for "further investigation" or does it mean the joists are No Good?  

It would seem strange to have both the main body check and the AISC curves in the commentary as well - but with these ONLY serving to determine if you're close and have to check further....and then for AISC to not offer a "real" check procedure.

 

RE: Ponding analysis by manual calculation

ASCE 7-05 recognizes AISC methods on page 337 (Refs. C8-5 and C8-6) but I don't read it anywhere in ASCE that the AISC methods must be followed exclusively.

I don't have ASD 9 right at this minute. By the 13th manual, I read that Section 2.1 is simplified and Section 2.2 is more exact. If Section 2.1 shows that ponding may be a problem, the engineer has the option to use the more exact method of Section 2.2 to check the roof system (this is where the curves show up in the 13th manual).

But the way I read ASCE 7 is that you are not limited to using only the AISC ponding checks (example, if SJI had a method you might choose to use it). Example, page 95 of ASCE says "it shall be investigated...." but doesn't state a required method.

So an alternate "in-house" investigation may be allowed even if both AISC methods do not work unless you are for some reason (Building Department, Goverment UFC criteria etc.) required to meet AISC. Right?

 

RE: Ponding analysis by manual calculation

Sounds to me like the engineer's "in-house procedure" meets the definition of "further investigation."  If AISC meant that the system was unacceptable if it didn't meet the two conditions, then they wouldn't have left the door open.  Sounds like AISC is saying "the exact analysis is complicated/time consuming."  In lieu of performing an exact analysis, a quick and dirty conservative method is to meet these two conditions.  As always, when the designer deviates from the accepted method, it puts an extra burden on the checker.  I once was the checker for a brilliant, innovative designer. He would design stuff in half the time, and it would take me twice as long to check it.

RE: Ponding analysis by manual calculation

If you are going specifically by AISC, then it says method 2 is "permitted" when a more exact determination is required over method 1. But to me, you don't HAVE to check AISC's methods at all according to ASCE. Or am I missing something? Maybe you could argue it is standard practice in your area that it should be upheld.

  

RE: Ponding analysis by manual calculation

JAE - Though it might seem odd, I believe that both the AISC procedures are just simplified procedures, one grossly simplified, and one closer to the real deal.  I have generally used the same "rigorous" analytical procedure as outlined by the engineer in lieu of the AISC simplified procedure(s) when I get close to having a problem.  The code language appears to bear this out..   

RE: Ponding analysis by manual calculation

(OP)
So the key here is that if you use a homegrown procedure it must include an iterative/converging approach that takes into account second order effects, etc.?

The thing that the AISC approaches tend to do is include an aspect dealing with the water flowing - sort of a dynamic effect.  The engineer's approach that I listed above seems to be more static.  I don't feel that water behaves itself that much....but maybe I'm wrong - I have a question posted to AISC so we'll see what they say.

haynewp - whether ASCE 7 requires the AISC procedure or not may be valid, but for a steel roof it seems to me that AISC should be the authority.

Do you all agree with the engineer, though, that the AISC checks are ONLY checks used to determine whether you need to investigate ponding?  

Or are the AISC checks a check on ponding itself?  

Or both?   

RE: Ponding analysis by manual calculation

Well that is what I was saying with the "standard practice" regarding using AISC. But there is the SJI Technical Digest #3, could this be what he is basing his method on? I have never actually used it before.

http://www.steeljoist.org/publications/default.asp

The AISC presents a method for checking ponding, not telling you that you have to look somewhere else if it doesn't meet AISC.

RE: Ponding analysis by manual calculation

JAE - its both.  If you pass simplified 1 no need to look at simplified 2.  If you pass simplified 2 no need to look for further analysis.  If you fail simplified 1 and 2 - look at an interative technique as described.  If that doesn't work...make it bigger.   

RE: Ponding analysis by manual calculation

Yes, both.

RE: Ponding analysis by manual calculation

I agree, both.

RE: Ponding analysis by manual calculation

I must have always missed something on the question of ponding. If you have a 1/4" per foot slope and the joist deflection is limited to L/240 how can water pond?

40x12/240=2" and 20x0.25=5"

RE: Ponding analysis by manual calculation

Ponding is not required to be checked if the roof slope is equal to or greater than 1/4" per foot per ASCE 7-05 section 8.4.

RE: Ponding analysis by manual calculation

(OP)
In my case, the roof is not a constant 1/4"/ft.  There are "bowl" valleys that have a single primary drain but no secondary.  If the primary drain gets clogged, then the water will build up to the depth of the bowl before running over the ridges to the next bowl valley.  

Thus, there is a need to check for ponding with the anticipated depth of water.

RE: Ponding analysis by manual calculation

Dealing with water flow rates gets complicated but can add substantially to the design depth depending on parameters.

RE: Ponding analysis by manual calculation

It may be cheaper to avoid situations that causing ponding rather than do it engineeringly. But if it is necessary for any reasons, keep in mind that the water can go as high as the containment (parapet walls) with addition for sagging. On top of beefing up the beams/joists, global stability may needs to be considered as well (for serious ponding problems).

RE: Ponding analysis by manual calculation

Kslee 1000 I slightly disagree.  

The maximum amount of water that will build up depends on the geographic location of the building and size of the roof as well as the size and number of scuppers at the perimeter.  For a small roof you may only end up with a few inches of hydraulic head build up at the perimeter scupper where the parapet may be 1'-2' above the roof.
 

RE: Ponding analysis by manual calculation

In my experience, roof water load isn't generally an issue for the majority of roofs except for the scupper situation JAE has run into.  Scuppers are generally a bad back up unless they are positioned close to the primary drain but you can usually count on the roof to leak before a real ponding situation occurs.  When I point this out to architects they often are quick to change their design.

The attached PDF is a good reference for dealing with hydraulic accumulation issue.  It was written for HVHZ and may be a little out of date but still more than I ever wanted to know about roof drainage.

RE: Ponding analysis by manual calculation

(OP)
I did get a reply from AISC:

The Scope of the AISC Specification permits alternate methods of analysis and design when such are acceptable to the authority having jurisdiction. Section 2.1 of Appendix 2 provides a simplified and conservative method for checking ponding to see if the system is adequate. This check does not necessarily mean that the system is inadequate if the conditions are not met. Section 2.2 provides one more accurate method of evaluating the ponding characteristics.

RE: Ponding analysis by manual calculation

SteelPE:

I agree, a complete clog on drain system is highly unlikely, as well as the event occurs coincident with a major rain storm. However, if there is/are reason(s) for concern, I would rather be safe than sorry, especially when human lifes are involved. Your reasoning are sound and shall be in the first line of thoughts to determine whether there is potential for such problem, which requires further investigation.

RE: Ponding analysis by manual calculation

As an FYI the previously mentioned SJI Technical Digest 2 is based primarily on the AISC provisions with jost specific guidance; however, it does contain the following statement:
"The AISC ponding provisions are based on the following....Situations often occur where these conditions do not exist.  For these cases, solutions can accurately be obtained by modeling the structure, adn iterating using increasing waster loads resulting from deflections until convergence..."  

RE: Ponding analysis by manual calculation

Er...technical digest 3.

RE: Ponding analysis by manual calculation

JAE:  

Don't know if this was mentioned, but, if the ponding is long term, the joists may end up with a permanent deflection that would be present for the next storm, deflecting further during that storm, storing even more water, causing more deflection.

This is the scenario that I worry about and why I never design flat roofs.  I realize this may be an existing roof, but if there is any way to avoid ponding, do it.   

Mike McCann
MMC Engineering

RE: Ponding analysis by manual calculation

With regard to your orginial question, I interpret the AISC provisions as a conservative analysis for roof systems to avoid a more detailed or comprehensive ponding investigation.  If you do not meet the provisions in K2, you still might be adequate for ponding stability, but you have to complete further analysis.  

I would also make sure some consideration of the hydraulic gradient was included in the analysis, unless it's too small of an area to worry about.  The water has to have some positive slope to drain to the scuppers, so simply assuming 3" of water (or whatever the dimension is from ridge to valley) will not be adequate in certain areas where enough hydraulic head has to build up to slope the water to the scuppers.  It's been awhile since I've looked, but from the old Q=KiA days of my hydraulic eng. class, I believe the 'i' (hydraulic gradient) is 1% or so.    

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