2-Way Slab systems
2-Way Slab systems
(OP)
I am designing some reinforced concrete beams which are supporting a slab which will have 2-way action. Is there a method for determing the load to each beam? One beam is perpendicular to the other. The slab dimensions are roughly 10'x 10'.
Thanks
T.
Thanks
T.






RE: 2-Way Slab systems
Good luck.
RE: 2-Way Slab systems
RE: 2-Way Slab systems
RE: 2-Way Slab systems
And the load distribution is triangular therefore M = WL/6.
RE: 2-Way Slab systems
RE: 2-Way Slab systems
The load distribution is based on yield line analysis. For a square slab as noted abaove, there is a yield line running at 45 degrees from each corner these meet at a single point in the center. For a rectangular slab you have the same 4 yield lines except they dont meet at one point but 2 and there is a 5th yield line running between the intersection points.
Each support then takes the load from the slab on their side of the yield line.
For more info on yield lines look at:
http://www.concretecentre.com/main.asp?page=195
RE: 2-Way Slab systems
Generally I will provide steel in a one-way layout (trying to keep the same direction as the rest of my slab) and provide transverse top steel in the perpendicular direction along the side supports. This is similar to how ACI 318 covers T-beam flange transverse reinforcement. ACI 318 says you need to provide transverse top steel so the flange can support the loading as a cantilever. (I'm at home w/o ACI 318 but I believe the chapter is 10.8) I'm pretty sure the length of the "cantilever" is equal to the effective flange width of the concrete T-beam so the load the side beams are supporting is equal to the effective flange width and main beams are supporting the rest.
RE: 2-Way Slab systems
For two way spanning slabs, I disagree that you can control how a slab spans by where you place the steel. It will span according to the stiffness. Your approach may work on an ultimate basis, but does not take into account undesirable cracking which could develop as a result.
RE: 2-Way Slab systems
AS3600 (Australian Concrete Code) allows you to distribute loads to your beams based on a triangular allocation of load. This will result in a total static moment of wl^2/12, which must be distributed between the negative support moments and positive midspan moment accordingly.
I understand your probably not using an Australian Standard but the design principles are still valid.
RE: 2-Way Slab systems
What tngolfer is referring to is the strip method. And he is right. From an ultimate standpoint, as long as you account for the total static moment, it really doesn't matter how you do so.
Certainly, you could choose to do it inefficiently, but this is a lower bound method, meaning you will always be conservative.
RE: 2-Way Slab systems
You are both right to an extent.
The steel is much stiffer than the concrete so where you heavily reinforce it, it will be stiffer and therefore attract more load. This effect is not proportional to strength though, so if you design it for a completely wrong moment distribution then it will crack.
RE: 2-Way Slab systems