approximate methods of analysis
approximate methods of analysis
(OP)
Do you ever use approximate methods such as the portal or cantilever method to check to see if the computer program is generating reasonable results?
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approximate methods of analysis
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approximate methods of analysisapproximate methods of analysis(OP)
Do you ever use approximate methods such as the portal or cantilever method to check to see if the computer program is generating reasonable results?
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RE: approximate methods of analysis
I have multiple, mostly dated, resources which I employ to do this, my favorite four being:
-Reinforced Concrete Designer's Handbook by Chas E. Reynolds (1964 British)
-Steel Designer's Manual, 3rd Ed, (1967 British)
-Structural Engineer's Handbook, Milo S. Ketchum (1924 USA)
-Structural Engineering Formulas, Ilya Mikhelson (2004, ISBN 0-07-143911-0)
There is only one exception to this personal rule: When a structure is highly complexe (such as the Stadium I am currently working on) I will review the results of computer output in detail and be sure that they "feel" correct. I will often also review the structure for what the simple span reaction/internal forces would be and ensure that my design would support them.
I will be very curious to read other's replies!
Cheers,
YS
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...
RE: approximate methods of analysis
Just how close do others like to be with their approximate methods to trust the computer model? Personally this depends on the complexity of the structure, however I generally like to be within +/- 15%, with a ceiling of +/- 30%. I have been convinced of greater differences from time to time, however being outside of this range simply prompts more investigation on my end.
I think many would be surprised just how many times I have found gross errors only after having maually computed what I "felt" should be the answer... Computers have a great aptitude for making junk look attractive!!!
Cheers,
YS
P.S. My appologies for my french spelling of "complex" in my previous post. Now if I could just stop telling people to "close" the lights.... ;0)
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...
RE: approximate methods of analysis
I also use Moment distribution for continous beams as well as AISC's beam formulas, and their Moment, Shears and Reactions for bridges when applicable.
for complex structures, I will break into smaller components and estimate responses.
Finally, for FEA stress and dynamic problems I will usually check Roarks' Stress and Strain Book.
Regards,
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RE: approximate methods of analysis
I have two young engineer's who can model anything in RISA and quickly (perhaps too quickly) - BUT they also come up with some AMAZING results....
When you forget a bearing or use the wrong section modulus or no lateral bracing --- things get out of hand fast and THEY don't seem to sense that yet??
Go figure.
Before I start any analsyis - I look over the whole structure and I know before hand whether I will be close.
All engineers shouold do that!!
RE: approximate methods of analysis
I noticed Milo S. Ketchum has written a lot books. Can you be more specific about the book? What information does it have that is helpful?
RE: approximate methods of analysis
I would be curious to know how you go about checking that.
RE: approximate methods of analysis
Mike McCann
MMC Engineering
RE: approximate methods of analysis
RE: approximate methods of analysis
It's his Structural Engineering Manual that I use most often. It also has a great deal of Graphic Statics in it, a method that is simple, reliable, readily understood, and sadely nearly never taught anymore. The more we advance, the more we seem to loose touch with the simple stuff. And Graphics Statics is VERY useful for lots of structures!
Cheers,
YS
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...
RE: approximate methods of analysis
If you don't know what a computer package is doing, then you shouldn't be using it. I work with a very experienced engineer/dinosaur who doesn't trust computer packages at all and is always back checking my work with emperical formulas.
Good engineering is all about efficiency and there is nothing more efficient than being able to find your own errors.
RE: approximate methods of analysis
First principles should always be used to verify the boundary conditions and reactions.
RE: approximate methods of analysis
RE: approximate methods of analysis
You remind me of myself with many of your posts. I'm often keen to determine good, rational methods for hand analysis and I never let up until I understand it fully. Trusting that you'll be a good one to review and think through what I'm doing (in addition to the many other worthy contributors), here is my detailed reply to your lateral load by hand with relative stiffness (inverse of rigidity) method:
Note that I primarily apply this method with a spreadsheet, however it can just as easily be done by hand if you have the time, patience and accuracy. The method is based on the relative rigidity of the lateral load resisting elements (whether they are frames or shear walls)...
We calculate the relevant properties and work out the load appropriately picked up by each bracing element. I trust this method for use in principle design without the computer, and use it to verify the computer's results. It is based on a paper I was given at the first consulting practice I worked in...
Here are the essentials, if not the complete story:
Relative Rigidity (Ri) = ki / ?ki
Wall Rigidity (ki) = 1/((1/(E*t))*(4*(h/d)^3+3*(h/d)))
Centre of Rigidity
Xr = ?Ri·xi/?Ri
Yr = similar
Torsional Constant (J) = (?ki·di^2)along + (?ki·di^2)accross
Centre of Mass (Xcm) = ?Wi·xi/?Wi
Ycm = similar
Structural Eccentricity (ex) = Xr - Xcm
ey = similar
Torsional Moment (Mt) = greater of V(1.0ex + 0.1Dx)
and V(1.0ey + 0.1Dy)
where Dn = width of structure perpendicular to V load orientation
Caution: Depending on how you are doing your calculations your Torsional Moment may be the SUM of these two moments!!!
Then your load carried by each lateral load resisting element is computed by:
Direct Load (Vd) = Ri·V
Torsional Load (Vt) = (ki·di/J)Mt
Total Load = Vd + Vt
NOTE: This example is written for shear walls, however the important thing is the relative rigidity of the frames, and not the computation or nature of the rigidity. Thus if you have moment resisting frames this method is equally valid, you just need to modify the very start (Ri & ki) to reflect the properties of your system.
I'd actually really like peoples opinion of what I am doing, however I am very confident it is a sound procedure.
Please note that it is adapted from the Atlantic Masonry Research & Advisory Bureau (Inc.) CSA S304.1-94 Masonry Building Design Procedure.
Regards,
YS
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...
RE: approximate methods of analysis
Star for the post.
THANKS!
RE: approximate methods of analysis
And no problem at all StructuralEIT; Thanks for the star. I hope people find the post helpful.
Cheers,
YS
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...