Simple Beam Pressure Distributions
Simple Beam Pressure Distributions
(OP)
See attached. Anyone have any quick closed form solutions for these pressure distributions on simple beams. Looking for Vmax, Mmax, and max deflection. Already looked through Roark Stress and Strain & AISC manuals. Didn't want to reinvent the wheel by intergrating.






RE: Simple Beam Pressure Distributions
http://www.seaofsc.org/Alex%27s%20Corner.htm
RE: Simple Beam Pressure Distributions
btw, not sure about your Vmax for partial span loading.
RE: Simple Beam Pressure Distributions
RE: Simple Beam Pressure Distributions
But, the only ones you will use in reality are the ones that are already in the steel manual.
Parabolic, semi-circular and sine loads..... seriously?! a) This isn't a particularly realistic design load.
b) If you were to encounter something like this you should simplify the loading
c) If you can't simplify the loading then just use RISA, Enercalc, or Excel/MathCAD or something rather than doing all the math yourself.
RE: Simple Beam Pressure Distributions
RE: Simple Beam Pressure Distributions
If you "heard" it on the internet, it's guilty until proven innocent. - DCS
http://www.eng-tips.com/supportus.cfm
RE: Simple Beam Pressure Distributions
You are approaching this problem in the wrong way. It is much better that you understand what you are doing rather than blindly plugging a formula.
These are all very simple loads which can be solved by hand methods. Instead of trying to remember myriad formulas, learn to reason the thing out for yourself.
In your second example (assuming they number from left to right), you show a partial uniform loading of length "b" symmetrically situated on the beam with distance "a" at each end. It is obvious by inspection that Vmax will be wb/2, yet you show wb(2a + b)/2L, failing to note that 2a + b = L so the expression can be simplified to wb/2.
For deflections, learn the moment-area theorems or the conjugate beam method. You do not have to integrate to solve these simple problems.
Even if I had all of the "closed form solutions" at hand, which I do not, I would not give them to you because I firmly believe you are following the wrong path.
Figure it out for yourself and you will have a real "InDepth" solution.
BA