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Earthquake Design procedure for concrete building structures in accordance with the UBC 97
Select the Lateral Force Procedure to be adopted in the design ( UBC 1629.8)
– Static
– Dynamic
Equivalent Static Force Procedure
Derive the total design base shear (UBC 1630.2.1)
Calculate the general parameter to be fixed for a specific project.
- Seismic Zone Factor ( UBC Tbl 16 – I)
- Soil profile type ( UBC Tbl 16 – J)
- Seismic Dynamic Response spectrum coefficients Ca & Cv ( UBC Tbl 16 – R & 16 –Q)
- Importance Factor I (UBC Tbl 16 – K)
- Measure of Over Strength R (UBC Tbl 16- N)
Derive the period TA from Method A
TA = Ct (hn ) 0.75
Limiting that period by 1.4TA for zone 2,3 and 1.3 for zone 4 (Method B - UBC)
The Design Base Shear, V = (CvI / RT ) W
But check min. and max : 0.11 Ca I W < V < (2.5 Ca I /R) W
Where Ca is determined from Tbl 16 – Q
Derive the ultimate earthquake force E from clause 1630.1.1
E = ? Eh + Ev
Eh = V determined above applied
Ev = ± 0.5 Ca I D applied in the V ,where D is dead load
For static procedure, distribute the shear to each story in accordance with 1630.5
Design the structure for torsional moments arising from the accidental torsion, applied by assuming the mass of any storey is displaced by 5 % of the plan dimensions (1630.6)
If a torsional irregularity exists, the accidental torsion has to be amplified as required by 1630.7) using mode
Calculate storey drifts in accordance with 1630.9. Check this value against 1630.10.
The drift should be calculated based on both translational and torsional deflections and should adopt inertia values based on cracked sections (1630.1.2).
Moreover, for torsion accidental force application, check mode 1 and see if the building is twisted or not and check the ratio (max. displacement/ average displacement < 1.2) other wise you need to amplify your worst combination (check 1630)
Check the following irregularities where applies
Weak Storey ( Tbl 16 – L)
Torsional Irregularity ( Tbl 16-M)
If there is any Torsional Irregularity exists , Orthogonal effects shall be considered (Ref. 1633.1)
Dynamic Procedure
Carry out a Natural frequency analysis to estimate the natural frequency of building and the mass participation.
Check period T = 1 / f – (f - frequency)
Check 1.4 TA > TB , use TB = 1/f
Carry out a spectral response analysis in accordance with 1631.5 using specified Zone spectrum
Compare the Base Shear results against dynamic base shear determined from clause 1631.5.4
i.e. Vdes = (90% regular ) or (100% irregular) x statics
Minimum Vdes = V dynamic from Spectrum/R
Use the greatest value to determine the scale factor
Scale Factor = Vdes / Vdynamic
General Notes:
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It is preferred to have the same stiffness for you building in both directions in order to resist the earthquake forces...
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UBC-97 load combination is very close to ACI-318M-08 combinations
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Earthquake force in UBC-97 is factored by 1.4, so in service load combination you will notice that earthquake force is divided by 1.4
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Mass participation should be at least 90% in both direction X, Y
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For Z direction you need to perform vibration analysis
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P-delta analysis needs to be performed as geometrical nonlinearity
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Scale factor based on NEWMARK table should be between (1 - 4) max. otherwise, your structural system needs to be changed.
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orthogonal load combinations (100%Ex + 30%Ey....ect) can be used if you do not use SRSS (square root of sum of squares) and CQC (completing Quadratic combinations)
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Ductility of you structure is very important and you need to check it with acceptance percentage specified
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ETABS can calculate for you the spectrum function directly, STAADPro you need to imported, and Robobat gives you multiple options and multiple methods to calculate the spectrum and modal seismic analysis...
In the next article, asdd-engineering.com will discuss the spectrum functions in details. At the end, asdd-engineering.com thanks Eng.V. and Eng.MD for their help ...
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