TB Lecture10 ASCE 7 Wind Tall Buildings

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L. Prieto-Portar - 2008EGN EGN- -5439 The Design of Tall Buildings 5439 The Design of Tall BuildingsLecture 10 Lecture 10ASCE 7ASCE 7--02 Solved Problem #3:02 Solved Problem #3:Analytical Method 2 for Tall BuildingsAnalytical Method 2 for Tall BuildingsThe building for this third example is a 14-story office building in Tampa. It is 100 feet wide and 200 feet long and 160 feet tall, including a 3 foot parapet. The structure is a reinforced concrete rigid frame, with each floor and the roof providing a diaphragm reaction to lateral loads. Each floor is 11 feet high, and is clad with two glazing panels 5 6 high and 5 feet wide (aluminum mullions are spaced 5 feet on-center). The glazing is resistant to wind-borne debris impact.For simplicity, the office building is assumed to be in an Exposure B. It is not an essential facility, nor will it be occupied by 300 people in a single area at one time. Therefore, it is a Category II (see Table 1-1 on the next slide).Example #3 will use the same location in downtown Tampa as in Examples #1 and #2.For this Example #3 site, use V = 120 mph.( ) ( )( )( )( )( ) ( )( )( )220 00256 0 00256 1 0 0 85 120 1350 3113157 31 3 1 12 (= = = == = = =z p pizz z zt d z zz hThe design pressure p is,p q GC GCwhere the velocity pressure q is,q . K K K V I . K . . . . KUsing ASCE-7-02, Table 6-3,at z feet . , q q . . psfThe Gust Effect Factor, G.The building has a ratio of h / least width = 160 ft / 100 ft = 1.6 < 4 which means that it can be classified as a rigid structure. The gust G is given by Equation 6-4,( )( )( )( )( )( )( )( )( )( )min1 1.7 1 1.73.4 0.25 0.830.925 0.925 0.831 1.7 1 1.73.4 0.253.4 ( 6.5.8.1)0.6 157 94.2 ( 6.5.8.1)30 ( 6 2)0.30 ( 6 2)33Q zv zQ vzg IQGgIwhere g g Sectionz ft Sectionz z ft Tablec TableI cz + +( = = = ` `+ +( ) )= == == = = |=\( )( )1 16 61 13 30.63 0.63330.30 0.25 ( 6 5)94.294.20.30 454 ( 6 7)33 331 10.83100 1571 0.631 0.63454zzEquationzL c ft EquationQB hL| | |= = ||. \ .| | | |= = = ||\ . \ .= = =+| | | |+++ | |\ .\ .The External Pressure Coefficients Cpfor walls.The external pressure coefficients for the wall surfaces are taken from Table 6-6:Therefore, the wall Cp is,The Roof Pressure Coefficients Cpfor winds normal to the 200-ft walls.For the first value and h/L = 157/100 ~ 1.6 > 1.0 and< 10 the roof pressure coefficients are also given by Figure 6-6,Cpfor wind normal to the200 ft wall.C Cp pfor wind normal to the 100 ft wall. for wind normal to the 100 ft wall.The second value of Cp= -0.18 is a small value and is not used in this example.The roof Cpwith wind normal to the 100 ft face, h/L = 157/200 ~ 0.8. Notice that interpolation is needed in Figure 6-6.The external pressure at the roof at a distance from 0 to h/2 = 157 ft / 2 = 79 ft from the edge with the wind normal to the 200 ft face.The external pressure at the roof at a distance from 79 ft to 100 ft from the edge with the wind normal to the 200 ft face.( )( )( )35 1 0 83 1 04 30 3 = = = z pThe external design pressure p is,p q GC . psf . . . psf( )( )( )35 1 0 83 0 70 20 4 = = = z pThe external design pressure p is,p q GC . psf . . . psfComparison of pressures between the two orthogonal faces. Comparison of pressures between the two orthogonal faces.How do the pressures change if some of the windows are breached?Internal pressure coefficients GCpi.If the windows are breached by debris, the building becomes a partially enclosedbuilding. In that case, the internal pressure coefficient becomes,The negative internal pressure piwill be evaluated using qi= qh= 35.1 psf,Negative internal pressure = qh(GCpi) = (35.1 psf)(-0.55) = -19.3 psfThe positive pressure is found at the height z = 90 ft and qzis found through inter-polation,Positive internal pressure = (30.0 psf)(+0.55)= 16.5 psf( )z p i pip q GC q GC = 0.55piGC = Wind Force on the Roof Parapet.The pressure on the parapet with MWFRS ppis,Since the parapet is 3 feet high, the force on the parapet in the MWFRS case is as follows,These forces are shown in the figures of slides #14 and #16.( )( )( )( )35.4 1.835.4 1.1p p pnp p pnp qGC psf for the windwardparapetp qGC psf for the leewardparapet= == = ( )( )( )( )( )( )35.4 1.8 3 191.235.4 1.1 3 116.8windward p pn wallleeward p pn wallF qGC h psf feet plfF qGC h psf feet plf= = == = = References. References.1. American Society of Civil Engineers, Publication ASCE 7-02, Minimum Design Loads for Buildings and Other Structures, Washington DC, 2002;2. W. C. Bracken PE, Wind Load Design, Florida Engineering Society, Tallahassee, 2007;3. K.C. Mehta, J.M Delahey, Guide to the Use of the Wind Load Provisions of ASCE 7-02 ASCE Press, Washington DC, 2003.Arizona cactus flower