# 1.051 Structural Engineering Design. Recitation 1 CALCULATION OF WIND AND EARTHQUAKE LOADS ON STRUCTURES ACCORDING TO ASCE 7 & IBC

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1 1.051 Structural Engineering Design Recitation 1 CALCULATION OF WIND AND EARTHQUAKE LOADS ON STRUCTURES ACCORDING TO ASCE 7 & IBC WIND LOADS Buildings and their components are to be designed to withstand the code-specified wind loads. Calculating wind loads is important in design of the wind force-resisting system, including structural members, components, and cladding, against shear, sliding, overturning, and uplift actions. Wind Load Calculation Procedures The design wind loads for buildings and other structures shall be determined according to one of the following procedures: (1) Method 1 Simplified procedure for low-rise simple diaphragm buildings (2) Method 2 Analytical procedure for regular shaped building and structures (3) Method 3 Wind tunnel procedure for geometrically complex buildings and structures Method 1 Simplified Procedure The simplified procedure is used for determining and applying wind pressures in the design of simple diaphragm buildings with flat, gabled, and hipped roofs and having a mean roof height not exceeding the least horizontal dimension or 60 feet (18.3 m), whichever is less, and subject to additional limitations. Following are the steps of the simplified procedure: 1. Determined the basic wind speed, V, in accordance with ASCE 7 Figure 6-1 or IBC Figure 1609, assuming the wind can come from any direction. ASCE includes some provisions for the special wind regions indicated, near mountainous terrain, and near gorges. 2. Determine the importance factor, I, in accordance with ASCE 7 Table 6-1 & Table 1-1, or with IBC Table Determine the exposure category in accordance with ASCE 7 Section or IBC Section Determine the height and exposure adjustment coefficient, λ, from ASCE 7 Figure 6-2 or IBC Table (4) 5. Determine p S 30, the simplified wind pressure for exposure B, at h=30 ft, for I=1.0, from ASCE 7 Figure 6-2 or IBC Table

2 Simplified design wind pressures, p S, for the main wind force resisting systems of lowrise simple diaphragm buildings is determined by the following equation: p = λip (1) S S30 p S represents the net pressure (sum of internal and external) to be applied to the horizontal and vertical projections of building surfaces. For the horizontal pressures, p S is the combination of the windward and leeward net pressures. Method 2 Analytical Procedure Wind loads for buildings and structures that do not satisfy the conditions for using the simplified procedure can be calculated using the analytical procedure provided that it is a regular shaped building or structure, and it does not have response characteristics making it subject to across-wind loading, vortex shedding, instability due to galloping or flutter, or does not have a site location that require special consideration. The steps of analytical procedure, described in ASCE 7 Section only, are as follows: 1. Determine the basic wind speed, V, and wind directionality factor, K d in accordance with ASCE 7 Section Determine the importance factor, I, in accordance with ASCE Section Determine the exposure category or exposure categories and velocity pressure exposure coefficient, K z or K h, as applicable, for each wind direction according to ASCE 7 Section Determine the topographic factor, K zt, if applicable, according to ASCE 7 Section Determine the gust effect factor G or G f, as applicable, in accordance with ASCE 7 Section Determine the enclosure classification in accordance with Section Determine the internal pressure coefficient, GC pi in accordance with ASCE 7 Section Determine the external pressure coefficients, C p or GC pf, or force coefficients, C f, as applicable, in accordance with ASCE 7 Section or Determine the velocity pressure, q z or q h, as applicable, in accordance with ASCE 7 Section The velocity pressure, q z evaluated at height z is calculated by the following equation: q q z = KzKztKdV I (lb/ft ) z = KzKztKdV I (N/m ; V in m/s) (2) 10. Determine the design wind pressure, p or design wind load, F, as applicable, in accordance with ASCE 7 Section and The design wind pressure is given by the following equations: 2

3 For rigid buildings of all height p = qgc q ( GC ) (lb/ft ) (N/m ) for flexible buildings p i pi p = qg C q GC f p i( pi) (lb/ft ) (N/m ) (3a) (3b) q=q z for windward walls evaluated at hight z above the ground, q=q h for leeward walls, side walls, and roofs evaluated at height h q i =q h for windward walls, side walls, leeward walls, and roofs of enclosed buildings q i =q z for positive internal pressure evaluation in partially enclosed buildings For low-rise buildings p = q GC GC h[( pf ) ( pi)] (lb/ft ) (N/m ) (3c) The design wind load, F, on open buildings and other structures is determined by the following formula: F = q GC A (lb) (N) (4) z f f q z =velocity pressure evaluated at height z of the centroid area A f A f =projected area normal to the wind (ft 2 ) (m 2 ) 3

4 EARTHQUAKE LOADS Every building and its portions, as a minimum, shall be designed and constructed to resist the effects of earthquake ground motions as prescribed by the following provisions. Additions to existing structures shall also be designed and constructed to resist the earthquake ground motion effects. Special structures including vehicular bridges, transmission towers, piers and wharves, hydraulic structures, and nuclear reactors are beyond the scope of these provisions. The process of determining earthquake loads can be broken down to following basic steps: (a) determining the maximum considered earthquake and design spectral response accelerations (b) determining the seismic base shear in conjunction with the building or structure s dynamic characteristics (e.g. fundamental period) (c) distribution of the seismic base shear within the building or structure General Procedure for Determining Maximum Considered Earthquake and Design Spectral Response Accelerations Ground motion accelerations, represented by response spectra and coefficients derived from these spectra, shall be determined in accordance with: the general procedure described in ASCE 7 Section or IBC Section the site-specific procedure described in ASCE 7 Section or IBC Section Conditions on use of these methods depend on the seismic use group and site characteristics of the building or structure. The procedure for determining the design spectral response accelerations is as follows: 1. Determine the mapped maximum considered earthquake spectral response accelerations at short periods, S s and at 1-second period, S 1 using the spectral acceleration maps in ASCE 7 Figure a through j or IBC Figures 1615(1) through (10). Straight-line interpolation is allowed for sites in between contours. Acceleration values obtained from the maps are given in %g, g is the gravitational acceleration. 2. Determine the site class in accordance with ASCE Section or IBC Site class (A, B, C, D, E or F) is obtained based on the average shear wave velocity, v s, average standart penetration resistance, N, or the average undrained shear strength, S u. These parameters represent average values for the top 100 ft (30 m) of soil. 4

5 3. Determine the maximum considered earthquake spectral response accelerations, adjusted for Site Class effects, at short period, S MS, and at 1-second period, S M1, in accordance with ASCE Section or IBC Determine the design spectral response accelerations at short period, S DS and 1- second period, S D1 in accordance with ASCE 7 Section or Using the parameters determined in the previous steps, construct the general response spectrum in accordance with ASCE 7 Section or IBC Section Determining the Seismic Base Shear Structural Design Criteria, Analysis, and Procedures Each structure shall be assigned a seismic use group (ASCE 7 Table 9.1.3), based on its corresponding occupancy category (determined from ASCE 7 Table 1-1) and a corresponding occupancy importance factor as indicated in ASCE 7 Table and IBC Table All structures shall be assigned to a seismic design category based on their seismic use group and the design spectral response acceleration coefficients, S DS and S D1, in accordance with ASCE Table a or b, or IBC Table (1) or (2), whichever gives the most severe seismic design category. The analysis procedures, which can be used within certain limitations, are as follows: (a) Index force analysis (ASCE 7 Section 9.5.3, IBC Section ) (b) Simplified analysis (ASCE 7 Section 9.5.4, IBC Section ) (c) Equivalent lateral force analysis (ASCE 7 Section 9.5.5, IBC Section ) (d) Modal response spectrum analysis (ASCE 7 Section 9.5.6, IBC Section 1618) (e) Linear response history analysis (ASCE 7 Section 9.5.7, IBC Section 1618) (f) Nonlinear response history analysis ((ASCE 7 Section 9.5.8, IBC Section 1618) Equivalent lateral force analysis covers most structures encounter in daily design practices. The seismic base shear, V, in a given direction is determined in accordance with the following equation: V = CW s C s = the seismic response coefficient determined in accordance with ASCE Section W = the total dead load and applicable portions of other loads as indicated in Section Vertical distribution of the base shear can be determined as follows: F x = C V vx 5

6 and C vx = wh k x x n k wh i i i= 1 C vx = vertical distribution factor V = total design lateral force or base shear w i, w x = the portion of the total gravity load of the structure located or assigned to level i or x. h i, h x = the height from the base to Level i or x k = an exponent related to the structure period as follows: for structures having a period of 0.5 sec or less, k = 1 (linear) for structures having a period of 2.5 sec or more, k = 2 (parabolic) for structures having a period between 0.5 sec and 2.5 sec., k shall be 2 or shall be determined by linear interpolation between 1 and 2 6

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