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Vibration Design Criteria Residential Gym

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jdgengineer

Structural
Dec 1, 2011
748
We are working on the design of a large "pool house" structure. It will be approximately 22,000 sq ft, 5 stories tall (2 above grade, 3 below). The top level has an approximately 3,000 sq ft weight room / exercise area. The floor span is ~33'. Our current design consists of 2 1/2" topping slab over w2 deck with heavy W16x composite beams at 8'-0" oc (coffered architectural ceiling dictated depth and spacing).

The current design framing design easily meets moment demands and provides an L/700 total load deflection (~1/2"). The vibrational acceleration criteria is about 3% g and a typical floor bay has a natural frequency of around 7 Hz.

Per AISC Design Guide #11 we are targeting <5% g for acceleration for typical residential / office walking criteria. We easily meet this requirement. We are also looking at the rhythmic motion criteria which dictates a minimum floor frequency of 9-10 Hz for a weight room mixed with aerobic exercises.

My gut says our floor is fine and that this criteria would be more applicable for a large commercial gym with 100s of people rather than a smaller gym which may only have 5-10 people working out. But as we are not meeting the frequency criteria i thought it was worth a second opinion. Ultimately, we will present our findings to the architect and owner to make the decision of pursuing higher frequency floor is worth the added cost and architectural impact. It would require stiffer (deeper) beams which will impact floor height below or possible moment connections (very expensive) to try and engage the backspans of the beams.

Ive also wanted to get an opinion of the structural deck below a weight room. The concrete will be covered with exercise flooring which should help soften impact loading. How have you typically designed the concrete? Do I need to be concerned with localized crushing? Per verco the deck is rated for 399psf superimposed loading with our span which should be more than adequate. The topping will be reinforced with #3 bars at 12-18" oc.

Any thoughts would be appreciated!

 
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I don't think I was clear, but the structure is part of an accessory structure to a single family residence. As a result we have some leeway in our design criteria.
 
I think you are fine, i dont know what your load distrution to adjacent joists, but would assume that it is not truely reflective. I would also suggest your connections are going to help more than your hand calc, for some situations these are assumed continous for vibration analysis, even thou they are pinned in ultimate analysis due to the very low loads.

"Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning."
 
jdgengineer said:
Ive also wanted to get an opinion of the structural deck below a weight room. The concrete will be covered with exercise flooring which should help soften impact loading. How have you typically designed the concrete? Do I need to be concerned with localized crushing? Per verco the deck is rated for 399psf superimposed loading with our span which should be more than adequate. The topping will be reinforced with #3 bars at 12-18" oc.

Unless the homeowner is a powerlifter and is regularly dropping 400lbs of steel on the floor after a clean and jerk then it is unlikely to be a problem.
My gut, however, is that 2 1/2" topping may be a little light for weight room impacts. Might wanna go with 4" in that area.
 
Thanks XR250. I'm considering going with a thicker topping slab in that area. Although, I'm not entirely sure how to evaluate if it is required aside from my gut.

Has anyone put a weight room on metal deck before? How did you asses minimum concrete topping thickness?
 
I don't know how you would do that either. At most residential gyms I have designed, the owner ends up using only the elliptical machine.
 
Thanks I'm sure this will be the case here too but they have requested it be designed "similar to a commercial gym" so I want to make sure we have flexibility.

The verco catalog isn't very helpful with concentrated loads. Basically says to analyze per engineering principles.

I could review the topping for punching shear ignoring the deck below and check to see if it can span the distance between flutes for moment / shear.

Any other thoughts?

I'm also not entirely sure of the location of the equipment and would like to have flexibility to bolt down anywhere on the slab as necessary. Seems like a thicker topping slab would be a good idea for this as well.
 
I guess the problem is determining the actual impact load and how to convert that to a static one. I would just go with 4" topping and be done with it unless you are getting paid to do a research project :>
 
Yeah, I agree it's a bit tricky. We'll likely go with a thicker slab and not worry about it. In looking more closely at post-installed ICC reports it looks like we would need 3 1/4 - 3 1/2" topping slab. Therefore, I think at the gym area we'll go with at least a 3 1/2" topping above the W2 deck. We could potentially increase to 4" as you have suggested, but what is the magic with the 4"? Is that just what you typically use for SOG so feel comfortable with the thickness? The extra 1/2" is probably not too big of a deal for us, but we are fighting for inches with the architect (ceiling heights as very critical to him) and we are on the 2nd floor in high seismic so added weight = more loading to our moment frames.
 
Thanks rowingngineer. I didn't see your response earlier on my phone. I believe we are designing for approximately 11 PSF live load + self weight of structure for the vibration analysis. I think this is consistent with recommendations in AISC Design Guide #11.

We could also entertain slip critical bolts for these connections. I'm not sure how much that would help with end fixity as we wouldn't engage the flanges, but may help a little.
 
Hi

I would not be to concerned about the impact loading. It is basically a question of creating a deformation zone or use the deformation in the slab itself.
You can find some info here:
If you have 5-10 people jumping coordinated, that can be a problem. They can create forces up to 10 Hz depending on the loadmodel. What are the adjoining rooms used for?
In my experience the people that are jumping don't get disturbed by their own activity. But the neighbors who only feel the vibration and not the source can be very disturbed.
I have done calculations like that on several occations.

Regards

Thomas
 
jdgengineer said:
Yeah, I agree it's a bit tricky. We'll likely go with a thicker slab and not worry about it. In looking more closely at post-installed ICC reports it looks like we would need 3 1/4 - 3 1/2" topping slab. Therefore, I think at the gym area we'll go with at least a 3 1/2" topping above the W2 deck. We could potentially increase to 4" as you have suggested, but what is the magic with the 4"? Is that just what you typically use for SOG so feel comfortable with the thickness?

nothing sacred about 4" - just seems like a good number. I found out the hard way about the post-installed anchor requirements!
 
The adjoining rooms are laundry area, massage room, locker room, bathroom, refreshments area, and two outdoor terraces. I need to confirm intended usage with everyone, but it's my understanding the occupancy usage will be low for the gym area. It is an accessory structure to a single-family residence so I believe there should only be a few people in here at a time working out. I'm not sure how frequently the other spaces will be occupied while someone else is working out.
 
Sounds like my house if you threw in an elevator accessed, above grade, Tesla storage room.

Has a floor covering been specified? Low tech as they are, those mats that the commercial gyms use make a world of difference with respect to impact and sound.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.
 
Kootk, the flooring has not been specifically specified yet, but it's my understanding it will be a mat build-up similar to a commercial gym.
 
With that type of mat I don't think impact will be a problem. Worst case if somebody drops a weight is probably a damaged mat, not a damaged concrete floor.

And the mat will also help with the vibrations from aerobics. But it is difficult to set a number for the effect. I tried a few years back with the help of a manufacturer. But we never really reached any conclusion.

In your case, how probable is it that there are several people jumping in the gym while there are "sensitive" people in the adjoining rooms?

You mentioned that the floor has natural frequency 7 Hz, that number tells you when it will vibrate. But you probably want to know how much it vibrates. In my experience the natural frequency can be used to determine how to analyze the floor. It you are below approximately 8 Hz there is a risk for resonant response so you need a dynamic method, like modal analysis. Above 8 Hz, a quasi-static method can suffice.

Regards

Thomas
 
I was just involved in an investigation involving a composite deck that was basically destroyed due to weight room loading. It pretty substantial rubber flooring, with 1' thick pads where heavy lifting was done.It was stated that 300 lb guys were lifting 300 lb weights to about 5ft and then dropping them. The concrete crushed and broke apart, the bond between the deck and concrete was destroyed, and the metal deck was deformed. The concrete did not have WWF, it was a fiber reinforced concrete, which likely didn't help the situation. This was an extreme situation, but I suppose could happen.

I talked with SDI about this - there are some deck profiles that work well for the dynamic loading. If you have AISC 360-14, on page 16.1-361, the second deck profile down was the type they referenced as working well dynamic loads.
 
Thanks structSU10. That's pretty scary. Do you know what the thickness of the deck and topping was?
 
structSU10 said:
It was stated that 300 lb guys were lifting 300 lb weights to about 5ft and then dropping them.

For that type of loading you need to use a specialised platform similar to that used in weightlifting competitions.
 
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