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QUICK ESTIMATE FOR SWAY DEFLECTION IN A MULTISTOREY STEEL MOMENT FRAME 1

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irishengdave

Structural
Jan 29, 2013
28
CA
I'm preparing for the IStructE Chartered member examination in January. I'm looking for a very "quick and dirty" way of estimating the sway deflection under wind load in a steel building moment frame. Typical building bay width is 6 to 8 m and storey height 3 to 4 m. Could be any number of bays or storeys.

Been googling this all day but no success. Needs to be a 2 minute back of envelope calculation.

Thanks.
 
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Here is what I did when I took the Illinois SE examination (many years ago!).

Assume joints do not rotate. Assume point of inflection is always at mid-height of story. Then, the deflection of each half story height is equal to the deflection of a fixed end cantilever: VL^3/3EI, where V is the story shear and I is the summation of I for the story.

DaveAtkins
 
Great idea, The beams will magnify the displacement though. I will model a typical frame on computer, assuming equal stiffness of members for comparison. That will give me an idea of the magnification factor. I'll report back. Thanks.
 
OK using Dave Atkins method above I checked it against an SFRAME analysis model. A two storey frame with three bays. Bay width 6m and storey height 3m.

Assuming beams and columns of equal stiffness rotation at beam-column joints will magnify Column displacements By a factor of 2.25 approx. using this I will develop a table of factors to amplify column sway displacement for various ratios of beam and column stiffness.


 
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