S. K. Ghosh Associates Inc. FREQUENTLY MISUNDERSTOOD IBC/ASCE 7 STRUCTURAL PROVISIONS All sections referenced are from ASCE 7-05, unless otherwise noted. S. K. Ghosh and Susan Dowty S. K. Ghosh Associates Inc. Palatine, IL and Aliso Viejo, CA www.skghoshassociates.com PROVISION #1 Enclosure Classification For Wind Design Internal Pressure Enclosure Classification Section 6.2 Definitions Open Partially Enclosed (can experience “ballooning” or suction effects caused by the build-up of internal pressure) Enclosed www.skghoshassociates.com 1 S. K. Ghosh Associates Inc. Enclosure Classification Section 6.2 Definitions Enclosure Classification Section 6.2 Definitions OPEN A building having each wall at least 80% open. Ao ≥ 0.8 Ag for EACH side of the building AO = A1 + A2 + A3 Enclosure Classification Section 6.2 Definitions Ag = H × W Enclosure Classification Section 6.2 Definitions Do stacks of hay obstruct flow of wind? Enclosure Classification Section 6.2 Definitions Enclosure Classification Section 6.2 Definitions PARTIALLY ENCLOSED Ao = total area of openings in a wall that receives positive external pressure 1.Ao ≥ 1.10Aoi Aoi = sum of the areas of openings in the building envelope (walls and roof) not including Ao 2.Ao > 4 sq ft AND > 0.01Ag Ag = gross area of that wall in which Ao is identified 3. Aoi/Agi ≤ 0.20 Agi = the sum of the gross surface areas of the building envelope not including Ag www.skghoshassociates.com 2 S. K. Ghosh Associates Inc. Enclosure Classification Section 6.2 Definitions Enclosure Classification Section 6.2 Definitions Note: Ao, Ag refer to wall that receives positive external pressure • Openings : apertures or holes in the building envelope which allow air to Aoi , Agi refer to building envelope (walls and roof) flow through the building envelope and which are designed as “open” during design winds Enclosure Classification Section 6.2 Definitions Q: A: for Enclosure Classification Q: Is a fixed glazed opening ENCLOSED considered an opening? A: A building that does not qualify as OPEN or PARTIALLY ENCLOSED. NO. Enclosure Classification Enclosure Classification Section 6.2 Definitions Figure 6-5 Internal Pressure Coefficients, GCpi www.skghoshassociates.com 3 S. K. Ghosh Associates Inc. ASCE 7-98 Positive Internal Pressure Basic Wind Equation • For buildings with External and Internal Pressure: p = qGCp – qiGCpi qi = Velocity pressure calculated for internal pressure. ASCE 7-98 Negative Internal Pressure Q: A: for Enclosure Classification Q: Why does a building need to be enclosed to use the Simplified Procedure? A: See C6.4. GCpi = ±0.18 is assumed in the tables. In a simple diaphragm building, internal pressures cancel out for the walls but not for the roof. Q: A: for Enclosure Classification PROVISION #2 Q: Should we treat roll-down doors and operable louvers as openings? Seismic and Wind Design of Parapets A: Yes and No. www.skghoshassociates.com 4 S. K. Ghosh Associates Inc. 13.3.1 Nonstructural Component Seismic Design Force Common Earthquake Damage to Parapets Fp = 0.4 ap SDS (Rp / Ip) 1+ 2z h Wp Fp (min) = 0.3 SDS Ip Wp for SDS = 1.00, Fp = 0.30 IpWp Fp (max) = 1.6 SDS Ip Wp for SDS = 1.00, Fp = 1.60 IpWp 13.1.3Nonstructural Component Importance Factor, Ip Nonstructural Component ap and Rp Ip is based on The values of ap range from 1.0 to 2.5 and 1. Whether component must function after the design earthquake or can be taken as less than 2.5 based on 2. Occupancy Category or dynamic analysis. 3. Whether component contains hazardous Rp values range from 1.0 to 12.0 (Tables materials. 13.5-1 and 13.6-1). Parapets: Ip is based on Occupancy Category Table 13.5-1 ap and Rp for Architectural Components Explanation of Fp Equation 1.2SDS Component Cantilever Parapets AB = 0.4SDS (1+2zB/h) ASCE 7-05 Architectural ap Rp 2.5 2.5 B Floor Acceleration Distribution AA= 0.4SDS (1+2zA/h) 0.4SDS Z = h for parapet design www.skghoshassociates.com 5 h zB A zA S. K. Ghosh Associates Inc. Example: Seismic Design of Parapets Example: Seismic Design of Parapets The 7-in. concrete parapet shown forms part of a building assigned to SDC D with a component importance factor of 1.0. SDS= 1.0g at the site. Determine the strength-level seismic design moment in the parapet. Example: Seismic Design of Parapets Example: Seismic Design of Parapets Weight of the parapet per linear foot is SDS = 1.0g Wp = 150 x 3 x 7/12 = 262.50 lb/ft The seismic lateral force acting at the centroid of the parapet is given by ASCE Equation (13.3-1) as Fp = (0.4apSDSIp / Rp)(1 + 2z/h )Wp Where Ip = component importance factor = 1.0 Wp = weight of parapet = 262.5 lb/ft ap = component amplification factor from ASCE Table 13.5-1 = 2.5 h = height of roof above the base = 20 ft z = height of parapet at point of attachment = 20 ft Example: Seismic Design of Parapets Wind Forces on Parapets Rp = component response modification factor from ASCE Table 13.5-1 = 2.5 Fp = (0.4 x 2.5 x 1.0 1.0 / 2.5) (1 + 2 x 20/20)Wp = 1.2Wp = 315 lb/ft Neither ASCE Equation (13.3-2) nor (13.3-3) governs, and the bending moment at the base of the parapet is Mp = 1.5 Fp = 472.5 lb-ft/ft ASCE 7-05 Figure C6-12 www.skghoshassociates.com 6 S. K. Ghosh Associates Inc. Wind Forces on Parapets Wind Forces on Parapets ASCE 7-05 C6.5.11.5 For simplicity, the front and back pressures on the parapet have been combined into one coefficient for MWFRS design. ASCE 7-05 Figure C6-12 Design Example Example Building The main wind force-resisting system of a 5-story reinforced concrete office building is designed following the requirements of the 2009 IBC/ASCE 7-05 wind provisions. Design Criteria Example Building 3 ft parapet Location of building: Los Angeles, California V= 85 mph (ASCE 7-05 Fig. 6-1) Building is enclosed per definition under ASCE 7-05 Sec. 6.2 Assume Exposure B (ASCE 7-05 Sec. 6.5.6.3) Occupancy Category: II, Table 6-1) www.skghoshassociates.com 7 I = 1.0 (ASCE 7-05 S. K. Ghosh Associates Inc. Velocity Pressure Exposure Coefficient, Kz Effects of Parapets on MWFRS loads ASCE 7-05 Section 6.5.12.2.4: At top of parapet, h = 67.5 + 3 = 70.5 ft pp = qpGCpn (ASCE 7-05 Eq. 6-20) qp = velocity pressure evaluated at the top of Kz = 2.01(z/zg)2/α = 2.01(70.5/1200)2/7 = 0.894 the parapet (from ASCE 7-05 Table 6-3) = 0.00256 Kz Kzt Kd V2 I (α = 7, zg = 1200 ft for Exposure B from GCpn = combined net pressure coefficient = +1.5 for windward parapet ASCE 7-05 Table 6-2) = -1.0 for leeward parapet Topographic Effect Factor, Kzt Wind Directionality Factor, Kd Effects of Parapets on MWFRS loads qp = 0.00256 Kz Kzt Kd V2 I = Kzt = 1.0 0.00256 × 0.894× 1 × 0.85 × 852 × 1 = 14.06 psf (Assuming the example building to be situated • For windward parapet: on level ground, i.e., with H, as shown in ASCE pp = qpGCpn = 14.06 × 1.5 = 21.1 psf 7-05 Fig. 6-4, equal to zero). Force = 21.1 × 3 × 66 / 1000 = 4.18 kips Kd = 0.85 • For leeward parapet: (from ASCE 7-05 Table 6-4 for main wind force- pp = qpGCpn = 14.06 × (-1.0) = -14.06 psf resisting system) Force = -14.06 × 3 × 66 / 1000 = -2.78 kips Effects of Parapets on MWFRS loads Design of Parapets as Component At the roof level, 4.18 + 2.78 = 6.96 kips is to be ASCE 7-05 Section 6.5.12.4.4: added to the design wind force for MWFRS p = qp(GCp – GCpi) computed from the windward and leeward walls (ASCE 7-05 Eq. 6-24) qp = velocity pressure evaluated at the top of the parapet = 0.00256 Kz Kzt Kd V2 I = 14.06 psf GCp = External pressure coefficient from Figs. 6-11 through 6-17 GCpi = Internal pressure coefficient from Fig. 6-5 www.skghoshassociates.com 8 S. K. Ghosh Associates Inc. External Pressure Coefficient, GCp External Pressure Coefficient, GCp Load Case A (ASCE 7-05 Section 6.5.12.4.4) Effective wind area of the parapet: Positive wall GCp = 0.68 (Figure 6-17 Zones 4 Span = 3 ft and 5) Width = 66 ft (> span/3) Applied to front surface of the parapet A = 3x66 = 198 ft2 External Pressure Coefficient, GCp External Pressure Coefficient, GCp Load Case A (ASCE 7-05 Section 6.5.12.4.4) Load Case A (ASCE 7-05 Section 6.5.12.4.4) Negative roof edge GCp = -1.76 (Figure 6-17 Zone 2*) GCp = 0.68 – (-1.76) = 2.44 Applied to back surface of the parapet GCpi = -0.18 for enclosed building (uniform porosity) *Corner Zone 3 is treated as Zone 2 because the parapet is 3 ft high (Figure 6-17 Note 7) However, internal pressures on both surfaces of the parapet cancel each other out. p = 14.06 x 2.44 = 34.31 psf External Pressure Coefficient, GCp External Pressure Coefficient, GCp Load Case B (ASCE 7-05 Section 6.5.12.4.4) Load Case B (ASCE 7-05 Section 6.5.12.4.4) Effective wind area = 198 ft2 Negative wall GCp = -0.76 (Figure 6-17 Zone 4) Positive wall GCp = 0.68 (Figure 6-17 Zones 4 and = -1.23 (Figure 6-17 Zone 5) 5) Applied to back surface of the parapet Applied to front surface of the parapet www.skghoshassociates.com 9 S. K. Ghosh Associates Inc. External Pressure Coefficient, GCp Design of Parapets as Component Load Case B (ASCE 7-05 Section 6.5.12.4.4) GCp = 0.68 – (-0.76) = 1.44 (For Zone 4) Clearly, Load Case A governs = 0.68 – (-1.23) = 1.91 (For Zone 5) GCpi = -0.18 for enclosed building (uniform Thus, design uniform wind pressure on the porosity) whole width of the parapet However, internal pressures on both surfaces of the parapet cancel each other out. p = 34.31 psf p = 14.06 x 1.44 = 20.24 psf (Zone 4) = 14.06 x 1.91 = 26.85 psf (Zone 5) Q: A: for Wind Design of Parapet Q: A: for Wind Design of Parapet A: In the case of parapets, it is expected Q: In Section 6.5.12.4.4 (parapets for most cases to have uniform porosity, so the C&C), the definition for the factor GCpi is "enclosed" classification (+0.18, - 0.18) based on the porosity of the parapet would be appropriate. However, if the two surfaces of the parapet are very different envelope. How is the porosity of the (one has openings, the other is fully parapet determined? sealed), the partially-enclosed case might be relevant. Q: A: for Wind Design of Parapet Q: PROVISION #3 What is the wind load on the parapet using Method 1, Simplified Procedure? Torsion, Torsional Irregularity and Direction of Seismic Loading A: There is no clear answer. Some jurisdictions do not allow Method 1 to be used for buildings with parapets. www.skghoshassociates.com 10 S. K. Ghosh Associates Inc. δxe QE V ASCE 7-05 12.8.4 Horizontal Distribution of Forces • Rigid diaphragms – Seismic story shear is to be distributed to elements of seismic-force-resisting system based on stiffness of vertical-resisting elements • Flexible diaphragms – Seismic story shear is to be distributed to elements of seismic-force-resisting system based on tributary areas ASCE 7-05 12.8.4 Horizontal Distribution of Forces Failure – Torsion • Torsion – Torsional moment due to difference in location of center of mass and center of resistance must be considered for rigid diaphragms • Accidental torsion – For rigid diaphragms, must be included in addition to the torsional moment • Displacement of center of mass = 5% building dimension perpendicular to direction of applied forces 1976 Philippines www.skghoshassociates.com 11 S. K. Ghosh Associates Inc. Amplification of Torsion Amplification of Torsion For structures* assigned to SDC C, D, E, or F δA and δB computed assuming Ax = 1.0 without flexible diaphragm and with horizontal irregularity Type 1a or 1b (Torsional Irregularity or Extreme Torsional Irregularity), the accidental torsion Mta at each floor level needs to be amplified by a factor: Ax = δmax 1.2δavg 2 ≤ 3.0 Adapted from ASCE 7-05 Figure 12.8-1 *Not applicable to light-frame construction Torsional Irregularity Torsional Irregularity Referenced in: Section 12.3.3.4 – 25% increase in seismic forces in connections in diaphragms and collectors Table 12.6-1 – Permitted analytical procedure Section 12.7.3 – 3-D structural model required Section 12.8.4.3 – Amplification of accidental torsion Section 12.12.1 – Design story drift based on largest difference in deflection Section 16.2.2 - 3-D structural model required in nonlinear response history procedure Extreme Torsional Irregularity Extreme Torsional Irregularity Referenced in: Section 12.3.3.1 – Prohibited in SDC E and F Section 12.3.3.4 – 25% increase in seismic forces in connections in diaphragms and collectors Section 12.3.4.2 (Table 12.3-3) – ρ = 1.3 Table 12.6-1 – Permitted analytical procedure Section 12.7.3 – 3-D structural model required Section 12.8.4.3 – Amplification of accidental torsion Section 12.12.1 – Design story drift based on largest difference in deflection Section 16.2.2 - 3-D structural model required in nonlinear response history procedure www.skghoshassociates.com 12 S. K. Ghosh Associates Inc. Section 12.5.2 Direction of Loading Q: A: for Torsional Irregularity Q: Do the torsional irregularity provisions 12.5.2 SDC B. apply to light-frame constructions? The design seismic forces are permitted to be A: applied independently in each of two Most likely, no. The torsional irregularity orthogonal directions and orthogonal definition applies to diaphragms that are interaction effects are permitted to be rigid or semirigid, which is typically not the neglected. case for light-frame construction. Section 12.5.2 Direction of Loading ASCE 7-05 12.5.2 Direction of Loading 12.5.3 SDC C. 12.5.3 SDC C. a. Orthogonal Combination Procedure. Structures that have horizontal structural irregularity Type 5 of Table 12.3-1, shall use ELF, modal response spectrum, or linear one of the following procedures. response history analysis, with loading applied independently in any two orthogonal directions… 100% + 30% Section 12.5.2 Direction of Loading 12.5.3 SDC C. b. Simultaneous Application of Orthogonal Ground Motion. Linear or nonlinear response history analysis, with orthogonal pairs of ground motion acceleration histories applied simultaneously. www.skghoshassociates.com 13 S. K. Ghosh Associates Inc. Section 12.5.2 Direction of Loading 12.5.4 SDC D, E or F. The orthogonal combination procedure … shall additionally be required for any column or wall that forms part of two or more intersecting seismic-force-resisting systems and is subjected to axial load due to seismic forces acting along either principal plan axis equaling or exceeding 20% of the axial load design strength of the column or wall. REDUNDANCY FACTOR, ρ ASCE 7-05 Section 12.3.4 PROVISION #4 REDUNDANCY SDC ρ A NA B&C 1.0 D, E & F 1.0 or 1.3 Note that ρ = 1.0 when the SIMPLIFIED PROCEDURE of Section 12.14 is used. Section 12.3.4.1 ρ for SDC D - F REDUNDANCY FACTOR, ρ ASCE 7-05 Section 12.3.4 12.3.4 Redundancy 12.3.4.1 Conditions Where 1. Structures assigned to SDC B and C. Value of ρ is 1.0 2. Drift calculation and P-delta effects. Redundancy 3. Design of nonstructural components. Factor, ρ, for SDC 4. Design of nonbuilding structures, not similar to buildings. 12.3.4.2 ρ = 1.0 for the following: D through F www.skghoshassociates.com 14 S. K. Ghosh Associates Inc. Section 12.3.4.2 ρ for SDC D - F Section 12.3.4.1 ρ for SDC D - F ρ = 1.0 or 1.3 ρ = 1.0 for the following: 5. Design of collector elements, splices and their connections for which load combinations with overstrength are used. ρ = 1.3 unless ONE of two conditions is met. If Condition # 1 is met, then ρ = 1.0 6. Design of members or connections where load combinations with overstrength are required for design. If Condition #2 is met, then ρ = 1.0 7. Diaphragm loads determined using Eq. 12.10-1. Both conditions do NOT need to be met 8. Structures with damping systems designed in accordance with ASCE 7-05 Chapter 18. for ρ = 1.0 Section 12.3.4.2 ρ for SDC D - F Section 12.3.4.2 ρ for SDC D - F CONDITION #1: CONDITION #1 and CONDITION #2 only need to be checked at each story resisting more than Can an individual element be removed from 35% of the base shear. the lateral-force-resisting-system without: • Causing the remaining structure to suffer a reduction of story strength > 33%, or • Creating an extreme torsional irregularity? TABLE 12.3-3 REQUIREMENTS FOR EACH STORY RESISTING MORE THAN 35% OF THE BASE SHEAR Section 12.3.4.2 ρ for SDC D - F CONDITION #2 If a structure is regular in plan and there are at least 2 bays of seismic force-resisting perimeter framing on each side of the structure in each orthogonal direction at each story resisting > 35% of the base shear. www.skghoshassociates.com 15 S. K. Ghosh Associates Inc. Section 12.3.4.2 ρ for SDC D - F Q: A: for Redundancy Q: How many bays are in a shear wall? Seismic Force-Resisting Perimeter Framing Two Bays A: Length of shear wall/ story height…or for light-framed construction (defined in Section 11.2), 2 x length of shear wall/ story height Q: A: for Redundancy Q: A: for Redundancy Q: I am using “Condition #1” to determine Q: Does the redundancy factor apply ρ for a wood-frame building. All of the shear walls are relatively long; in other words, the height of each shear wall (8’) is less than its length (9’, 10’, 12’). Can I assign ρ = 1.0 because there are no shear walls with a h/l ratio > 1.0? to the design of foundations? A: Yes. A: Q: A: for Redundancy Yes. Q: We have a building that is 325 feet tall (31 stories) with shear walls. We are using Condition #1 to determine ρ. When Table 12.3-3 uses the phrase “height-to-length” ratio, is that the height-to-length ratio “within any story”? Or is it referring to the overall height-to-length ratio which, for our building, would mean a height of 325 feet. www.skghoshassociates.com 16 S. K. Ghosh Associates Inc. Q: A: for Redundancy Q: A: for Redundancy A: The h/l ratio is intended to be Q: Can the value of ρ be different at each level of the same building? story height-to-length ratio. l < 10 ft h = 10 ft Q: A: for Redundancy A: Q: A: for Redundancy No, ρ cannot be different at each Q: Why doesn’t Table 12.3-3 address dual systems? If you have a dual system, can you assume ρ = 1.0? level of the same building. However, depending on the structural system, ρ can be different in the two orthogonal directions of the same building if Condition #1 is used. Q: A: for Redundancy A: No….. “Braced frame, moment frame and shear wall systems have to conform to redundancy requirements. Dual systems are also included, but in most cases are inherently redundant. Shear walls with a height-to-length aspect ratio greater than 1.0 have been included, even though the issue has been essentially solved by requiring collector elements and their connection to be designed for Ω0 times the design force.” www.skghoshassociates.com 17 S. K. Ghosh Associates Inc. Q: A: for Redundancy Q: Q: A: for Redundancy A: Do you need to determine the You need to determine the redundancy factor. If the code did not intend that the redundancy factor be determined for “Nonbuilding structures similar to buildings”, there would be an exception to Section 15.5.1 as is done in Section 15.6. redundancy factor for “nonbuilding structures similar to buildings” or can you assume the redundancy factor equals 1? Q: A: for Redundancy Q: Does the redundancy factor need to be determined if dynamic analysis is used? A: Yes. REDUNDANCY EXAMPLE Wall E Stiffness Ke REDUNDANCY EXAMPLE Wall F Stiffness Kf Wall A Stiffness Ka Wall C Stiffness Kc Wall B Stiffness Kb Wall D Stiffness Kd • • • • SDC D one story concrete shear wall building Ka = Kb = Kc = Kd = Ke = Kf = Kg = Kh = K All walls have the same nominal shear strength, Vn. • The story height is 18 feet. • The length of each shear wall is 15 feet. Let a denote the horizontal dimension of this building. a Wall G Stiffness Kg Wall H Stiffness Kh a www.skghoshassociates.com 18 S. K. Ghosh Associates Inc. REDUNDANCY EXAMPLE CONDITION #1 CONDITION #2 Step 1: Step 1: Remove shear wall and see Check if structure is regular if story strength is reduced in plan. REDUNDANCY EXAMPLE Check Condition #2 first (it’s easier) Q: How many bays are in a shear wall? A: Length of shear wall/ story height…or by more than 33%. for light-framed construction, 2 x length Step 2: Step 2: See if there is an extreme Are there at least 2 bays torsional irregularity created. of….on each side in each of shear wall/ story height. For example: (15/18)(2) = 1.67 < 2 orthogonal direction? REDUNDANCY EXAMPLE REDUNDANCY EXAMPLE CONDITION #1: CONDITION #1 Removal of a shear wall or wall pier with a height-to-length ratio greater than 1.0 within any story, or collector connections thereto, would not result in more than a 33% reduction in story strength, nor does the resulting system have an extreme torsional irregularity (horizontal structural irregularity Type 1b). Step 1: Remove shear wall and see if story strength is reduced by more than 33%. Step 2: See if there is an extreme torsional irregularity created by doing so. REDUNDANCY EXAMPLE Wall E Stiffness Ke REDUNDANCY EXAMPLE Definition of Extreme Torsional Irregularity in ASCE 7-05 Table 12.3-1: Wall F Stiffness Kf Extreme Torsional Irregularity exists where the maximum story drift, computed including accidental torsion, at one end of the structure transverse to an axis is more than 1.4 times the average of the story drifts at the two ends of the structure. Wall A Stiffness Ka a Wall B Stiffness Kb Wall D Stiffness Kd Wall G Stiffness Kg Wall H Stiffness Kh a www.skghoshassociates.com 19 S. K. Ghosh Associates Inc. REDUNDANCY EXAMPLE REDUNDANCY EXAMPLE The determination of extreme torsional The torsional stiffness about the center of rigidity (CR) is determined as: irregularity requires the evaluation of the story drifts δa and δb, as shown below. δb δa a/3 CR 2a/3 CM a/6 = V θ REDUNDANCY EXAMPLE REDUNDANCY EXAMPLE Assume that the story drift caused only by the lateral force V is equal to δ, and that θ is the rotation caused by the torsion T, then According to ASCE 7-05 Table 12.3-1, extreme torsional irregularity does not exist when This can be transformed to This ratio is less than 2.33 only if δ/(aθ) is larger than 1.08. REDUNDANCY EXAMPLE PROVISION #5 Therefore, no extreme torsional irregularity is created and ρ = 1.0. (Note that the term 0.05a is for accidental torsion) SEISMIC ANALYSIS PROCEDURE SELECTION Thus, the horizontal structural irregularity Type 1b does not exist and the configuration qualifies for a ρ factor of 1.0. www.skghoshassociates.com 20 S. K. Ghosh Associates Inc. Seismic Analysis Procedure Selection STATIC ANALYSIS PROCEDURES ASCE 7-05 SECTION Simplified Design Procedure Equivalent Lateral Force Procedure 12.14 Seismic Analysis Procedure Selection 12.8 Simplified Design Procedure Exception to Section 12.1 DYNAMIC ANALYSIS PROCEDURES ASCE 7-05 SECTION Modal Response Spectrum Analysis Linear Response History Analysis 12.9 Nonlinear Response History Analysis 16.2 16.1 Simplified Design Procedure Section 12.14 1. Occupancy Category I or II 2. Site Class A, B, C, or D 3. Three stories or less in height 4. Bearing wall system or building frame system 5. through 12…… EXCEPTION: As an alternative, the simplified design procedure of Section 12.14 is permitted to be used in lieu of the requirements of Sections 12.1 through 12.12, subject to all of the limitations contained in Section 12.14. Note: Section 12.13 is Foundation Design Seismic Analysis Procedure Selection Table 12.6-1 Q: A: for Simplified Design Procedure Q: What are the benefits of using the Simplified Design Procedure? A: Here are the benefits: • • • • • ρ = 1, Ωo = 2.5. No period (T) determination. No triangular distribution of seismic forces. Determination of Fa simplified; Ss need not exceed 1.5g. Drift need not be calculated * 12.3-1 * ** www.skghoshassociates.com 21 ** 12.3-2 S. K. Ghosh Associates Inc. Seismic Analysis Procedure Selection Seismic Analysis Procedure Selection Table 12.6-1 If a building is assigned SDC D, E, or F and has a T ≥ 3.5 Ts, then dynamic analysis procedure must be used. (Ts is the period at which the flat-top portion of the response spectrum transitions to the descending (period-dependent) branch.) Seismic Analysis Procedure Selection Table 12.6-1 Seismic Analysis Procedure Selection Dynamic Analysis is required if a building meets all of the following conditions: SDC D, E, or F Not of light-frame construction Contains one of the following irregularities: “Torsional” or “Extreme Torsional” “Stiffness-Soft Story”, “Stiffness – Extreme Soft Story”, “Weight (Mass)” or “Vertical Geometric” Seismic Analysis Procedure Selection Table 12.6-1 Seismic Analysis Procedure Selection Table 12.6-1 All structures of light frame Occupancy Category I or II buildings of construction, irrespective of height other construction not exceeding two stories in height – Dynamic analysis never required – Dynamic analysis not required www.skghoshassociates.com 22 S. K. Ghosh Associates Inc. Seismic Analysis Procedure Selection Seismic Analysis Procedure Selection Q: A: In Table 12.6-1, it states “Regular Structures with T < 3.5Ts and all structures of It does not mean "and." It means "or." Regular Structures with T < light frame construction” are permitted to use 3.5Ts are permitted to use Equivalent an Equivalent Lateral Force Analysis. Does this mean that the building must meet both Lateral Force Analysis. All structures of conditions (regular with T < 3.5Ts and light light frame construction, irrespective of frame construction), or does only one of these height, are also permitted to two characteristics need to be satisfied? use Equivalent Lateral Force Analysis. δxe QE PROVISION #6 DRIFT AND BUILDING SEPARATION V Drift Determination Section 12.8.6 Drift Determination Section 12.8.6 Step 1: Determine δxe at each floor level where δxe is the lateral deflection at floor level x determined by elastic analysis Step 3: Divide δxeCd by I, Importance Factor: δ x = δxeCd /I under code-prescribed seismic forces. Step 4: Determine design story drift: Step 2: Multiply δxe by Cd given in Table ∆x = δx – (δx – 1) 12.12-1, the product representing the estimated design earthquake displacement. www.skghoshassociates.com 23 S. K. Ghosh Associates Inc. Drift Determination Section 12.8.6 Story Drift • ∆x = δx − δx-1 < ∆a δx = Cd δxe / I Cd = deflection amplification factor Allowable Drift – Additional Requirement Allowable Drift ASCE 7-05 Table 12.12-1 ASCE 7-05 Section 12.12.1.1 Occupancy Category Structure I or II III • For seismic force–resisting systems comprised IV Structures, other than masonry shear wall structures, 4 stories or less with interior walls, partitions, ceilings, and exterior wall systems that have been designed to accommodate the story drift. 0.025hsx 0.020hsx 0.015hsx Masonry cantilever shear wall structures 0.010hsx 0.010hsx 0.010hsx Other masonry shear wall structures 0.007hsx 0.007hsx 0.007hsx All other structures 0.020hsx 0.015hsx 0.010hsx solely of moment frames in structures assigned to Seismic Design Categories D, E, or F, the design story drift shall not exceed ∆a /ρ for any story. ρ shall be determined in accordance with Section 12.3.4.2. Q: A: for Drift Determination Q: Q: A: for Drift Determination Q: Why is drift divided by the Importance allowable stress design (ASD) than for strength design (SD)? Factor? A: Is drift determined differently for Because the forces under which δxe A: are computed are already amplified by I, and the drift limits set forth in Table 12.12-1 are more restrictive for higher occupancy category buildings. No. The same procedure is used regardless of whether ASD or SD is used. www.skghoshassociates.com 24 S. K. Ghosh Associates Inc. Q: A: for Drift Determination Q: A: for Drift Determination Q: Does minimum base shear need to be Q: Does the upper-bound limitation on considered for drift determination? A: period T need to be considered for drift determination? Yes, Section 12.8.6.1 requires that all A: of the requirements of Section 12.8 be satisfied for the purpose of computing drift. No. Section 12.8.6.2 does not require the period to be subject to the upper limit of CuTa for the purpose of drift determination. Building Separation Section 12.12.3 Building Separation Section 12.12.3 This section applies to SDCs B through F. 12.12.3 Building Separation. All portions of the structure shall be designed and constructed to act as an integral unit in resisting seismic forces unless separated structurally by a distance sufficient to avoid damaging contact under total deflection as determined in Section 12.8.6. Does not address adjacent buildings on the same property. Does not address minimum setback distance from property line. Building Separation 2009 IBC Section 1613.6.7 Building Separation Section 12.12.3 Code Requirement 2006 IBC/ ASCE 7-05 2009 IBC/ ASCE 7-05 No requirement 2009 IBC Section 1613.6.7 BUILDING SEPARATIONS (paraphrased): Code Requirement PORTIONS OF THE SAME STRUCTURE: All portions of the structure shall be designed and constructed to act as an integral unit in resisting seismic forces unless separated structurally by a distance sufficient to avoid damaging contact under total deflection (δx) as determined in Section 12.8.6. 2006 IBC/ ASCE 7-05 2009 IBC/ ASCE 7-05 ASCE 7-05 Section 12.12.3 (applies to all SDCs) ASCE 7-05 Section 12.12.3 (applies to all SDCs) All structures shall be separated from adjoining structures. Separations shall allow for the maximum inelastic displacement δM (including torsion). Adjacent buildings on the same property shall be separated by at least δMT where When a structure adjoins a property line not common to a public way, that structure shall also be set back from the property line by at least the displacement, δM, of that structure. Continued on next page Exception: Smaller separations or property line setbacks shall be permitted when justified by rational analyses based on maximum expected ground motions. www.skghoshassociates.com 25 S. K. Ghosh Associates Inc. Building Separation 2009 IBC Section 1613.6.7 Building Separation 2009 IBC Section 1613.6.7 Note difference between δx and δM The deflections of Level x at the center of mass (12.8.6), δx = Cd δxe / I δM = Cd δmax / I (Equation 16-44) δmax = the maximum displacement at Level x computed assuming Ax = 1 (12.8.4.3) Building Separation 2009 IBC Section 1613.6.7 Building Separation 2009 IBC Section 1613.6.7 10″ separation δM2 at adjacent edge = 8″ δM1 at edge = 6″ Separation of Two Adjacent Buildings Q:A: for Building Separation Q: Q:A: for Building Separation ASCE 7-05 Section 12.12.3 contains the Q: language “sufficient to avoid damaging contact.” What is damaging contact? A: I do not understand the logic of requiring less separation between two buildings on the same property than between two identical buildings on different sides of the property line. To avoid any contact at all, the separation distance would have to be the arithmetic sum of δM1 and δM2. To avoid damaging contact, ASCE 7 allows the separation distance to be the statistical sum of δM1 and δM2, which is less than the arithmetic sum. www.skghoshassociates.com 26 S. K. Ghosh Associates Inc. Q:A: for Building Separation A: The first provision is concerned with PROVISION #7 damaging contact from pounding of buildings belonging to presumably the same owner. The property line setback requirement is based on consideration that one owner should not encroach onto another property. R, Cd and Ω0 Values for Horizontal and Vertical Combinations Section 12.2.2 Combinations of Framing Systems in Different Directions R, Cd and Ωo Values for Horizontal and Vertical Combinations • Different seismic force-resisting systems Horizontal Combinations can be may be used to resist seismic forces along either…. each of two orthogonal plan axes. • The respective R, Cd, and Ωo coefficients • In different directions shall apply to each system, including the • In same direction limitations on system use contained in Table 12.2-1. Section 12.2.2 Combinations of Framing Systems in Different Directions Section 12.2.3 Combinations of Framing Systems in the Same Direction Where different seismic force-resisting systems are used in combination to resist seismic forces in the same direction of structural R =5 Cd = 5 Ωo = 2½ response, other than those combinations considered as dual systems, the more stringent system limitation contained in Table 12.2-1 shall apply and the design shall comply R = 8, Cd = 5 ½, Ωo = 3 with the requirements of this section. www.skghoshassociates.com 27 S. K. Ghosh Associates Inc. 12.2.3.2 Horizontal Combinations 12.2.3.1 Vertical Combinations R=8, Cd=5.5, Ω0=3 8, 5.5, 3 R=5, Cd=5, Ω0=2.5 5, 5, 2.5 8, 5.5, 3 R=5, Cd=5, Ω0=2.5 8, 5.5, 3 5, 5, 2.5 5, 5.5, 3 5, 5.5, 3 5, 5.5, 3 R=8, Cd=5.5, Ω0=3 5, 5.5, 3 R=8, Cd=5.5, Ω0=3 5, 5.5, 3 12.2.3.2 Where a combination of different structural systems is utilized to resist lateral forces in the same direction, value of R used for design in that direction shall not be greater than the least value of R for any of the systems utilized in that direction. 8, 5.5, 3 8, 5.5, 3 5, 5, 2.5 R=5, Cd=5, Ω0=2.5 5, 5.5, 3 5, 5.5, 3 R=8, Cd=5.5, Ω0=3 5, 5.5, 3 5, 5.5, 3 5, 5.5, 3 R: Cannot increase as you go down Cd and Ω0: Cannot decrease as you go down 12.2.3.2 Horizontal Combinations 12.2.3.2 Horizontal Combinations 12.2.3.2 Resisting elements are permitted to be designed using the least value of R for the different structural systems found in each independent line of resistance if the following three conditions are met: 1) Occupancy Category I or II building, 2) two stories or less in height, and 3) use of light frame construction or flexible diaphragms. The deflection amplification factor, Cd, and the system overstrength factor, Ω0 , in the direction under consideration at any story shall not be less than the largest value of this factor for the R factor used in the same direction being The value of R used for design of diaphragms in such structures shall not be greater than the least value for any of the systems utilized in that same direction. considered. 12.2.3.2 Horizontal Combinations 12.2.3.2 Horizontal Combinations The other possible interpretation is that the Cd- The second paragraph of ASCE 7-05 Section and Ω0-values shall correspond to the least R- 12.2.3.2 is far from clear. value of all the individual structural systems. One possible interpretation is that when different The second interpretation appears to be the structural systems are combined in the same more logical in view of the following example direction of a building or other structure, the (discussion is continued in terms of Cd alone). largest Cd- and Ω0-values of all the individual structural systems shall be used. www.skghoshassociates.com 28 S. K. Ghosh Associates Inc. 12.2.3.2 Horizontal Combinations 12.2.3.2 Horizontal Combinations Consider a rather extreme example where a First, the combined system is much more rigid prestressed masonry shear wall (R = 1.5, Cd = than the special steel moment frame itself. 1.75) is combined with a special steel moment- Until the prestressed masonry shear wall resisting frame (R = 8, Cd = 5.5). There is no hinges at its base, which is extremely unlikely question that the R-value is 1.5. The question is in view of the large design forces that would whether the Cd-value is 1.75 or 5.5. 5.5 does not result from an R = 1.5, large inelastic seem logical – for two reasons. displacements do not seem to be possible. 12.2.3.2 Horizontal Combinations 12.2.3.2 Horizontal Combinations Second, large values of δxe would automatically The proposed rewrite provides clarification of the result from the low value of R used in design. second paragraph of ASCE 7-05 Section These, multiplied by the Cd of 5.5 would yield 12.2.3.2. The rewrite also offers clarification unrealistically large total displacements. Cd of concerning another complication that may 1.75 appears to be much more logical. arise, which is that different structural systems This second interpretation was implicit in the having the same R-value sometimes have 1997 Uniform Building Code, where 0.7R was different Cd- and Ω0-values. used in place of Cd. 12.2.3.2 Horizontal Combinations Table 12.2.3.2 R, Cd, and Ωo Values for Combination of Vertical combinations Different Structural Systems Used in Same Direction R value The least value of R for any of the systems used. R = 8, Cd = 5.5, Ω0 = 3 Exception: Resisting elements are permitted to be designed using the 8, 5.5, 3 least value of R for the different structural systems found in each independent line of resistance if the following three conditions are met: 1) R = 5, Cd = 5, Ω0 = 2.5 of the systems used. In the case where two or more systems have the 5, 5, 2.5 5, 5, 2.5 R = 8, Cd = 5.5, Ω0 = 3 5, 5, 2.5 R = 5, Cd = 5, Ω0 = 2.5 used. 5, 5, 2.5 R: Cannot increase as you go down Cd and Ω0: Always correspond to R of the systems used. In the case where two or more systems have the ASCE 7-10 Section 12.2.3.1 Vertical Combinations same least value of R, the largest of the corresponding values of Ωo shall be used. www.skghoshassociates.com 29 5, 5, 2.5 5, 5, 2.5 R = 8, Cd = 5.5, Ω0 = 3 same least value of R, the largest of the corresponding values of Cd shall be Ωo value The Ωo value corresponding to the system with the least value of R for any 8, 5.5, 3 8, 5.5, 3 5, 5, 2.5 5, 5, 2.5 R = 5, Cd = 5, Ω0 = 2.5 The Cd value corresponding to the system with the least value of R for any R = 8, Cd = 5.5, Ω0 = 3 5, 5, 2.5 5, 5, 2.5 8, 5.5, 3 Occupancy Category I or II building, 2) two stories or less in height, and 3) use of light frame construction or flexible diaphragms. Cd value 5, 5, 2.5 8, 5.5, 3 5, 5, 2.5 5, 5, 2.5 S. K. Ghosh Associates Inc. Q: A: for Combinations 12.2.4 Combination Framing Detailing Requirements Q: I am designing a building that has a combination of special reinforced masonry shear walls and special steel braced frames in the same direction. R values are 5.5 and 6, respectively. I Structural components common to different understand that I should design the building with the smaller R framing systems used to resist seismic = 5.5 for both the masonry shear walls and steel braced frames motions in any direction shall be designed in this direction for seismic design in accordance with ASCE 7- using the detailing requirements of Chapter 12 05 Section 12.2.3.2. But someone told me that the building required by the highest response modification should be designed by analyzing the entire building twice: use R = 5.5 for the entire building to analyze and design the coefficient, R, of the connected framing masonry shear walls and use R = 6 for the entire building to systems. design the steel frames. I don't think this is right. What is your thought on this? Q: A: for Combinations A: PROVISION #8 What you understand is correct. The latter interpretation is unfamiliar and incorrect. MINIMUM SEISMIC BASE SHEAR ASCE 7-05 12.8.1 Design Base Shear CodeMaster 2009 IBC Seismic Design www.skghoshassociates.com 30 S. K. Ghosh Associates Inc. ASCE 7-05 12.8 Equivalent Lateral Force Procedure Revisions to ASCE 7-05 Seismic Provisions Building Code 1997 UBC Vmin = 0.11 Ca I W 2000 & 2003 IBC ASCE 7-05 w/ Supplement No. 2 Design Base Shear Minimum Base Shear Applicable in All SDCs Vmin = 0.044 SDS I W 2006 IBC & ASCE 7-05 w/ Supplement No. 1 Vmin = 0.01 W 2009 IBC & ASCE 7-05 w/ Supplement Nos. 1 and 2 Vmin = 0.044 SDS I W ≥ 0.01W Section 1613 Earthquake Loads • Section 1613.1 references ASCE 7 • Chapter 35 entry for ASCE 7 reads as follows: ASCE 7-05 Minimum Design Loads for Buildings and Other Structures including Supplements No. 1 and 2, excluding Chapter 14 and Appendix 11A ASCE 7-05 Including Supplement No. 1 ASCE 7-05 Supplement No. 2 Supplement No. 2 modifies Eqs. 12.8-5, 15.4-1 and 15.4-3 as shown below: CS = 0.01 0.044SDSI ≥ 0.01 (Eq. 12.8-5) [applicable “Including Supplement No. 1” to buildings] CS = 0.03 0.044SDSI ≥ 0.03 (Eq. 15.4-1) [applicable to nonbuilding structures not similar to buildings] CS = 0.01 0.044SDSI ≥ 0.01 (Eq. 15.4-3) [applicable to an exception for nonbuilding structures not similar to buildings] www.skghoshassociates.com 31 S. K. Ghosh Associates Inc. Minimum Seismic Base Shear vs. Ground Motion Minimum Seismic Base Shear 0.044SDSI ≥ 0.01 or SDSI ≥ 0.227 or SS ≥ value given in table Site Class I=1 I = 1.25 I = 1.5 A 0.426 0.341 0.284 B 0.341 0.273 0.227 C 0.284 0.227 0.189 D 0.213 0.170 0.142 E 0.136 0.109 0.091 Minimum Seismic Base Shear Example Minimum Seismic Base Shear Concrete SMRF building - R = 8, I = 1.0 For special reinforced concrete moment Height = 120 ft, SDS = 1.00, SD1 = 0.40 frames, Ta = 0.016(120)0.9 = 1.19 sec 0.016h0.9 ≥ 9/8 h ≥ (70.31)1/0.9 = 113 ft Governs Does not govern ASCE 7-05 Supplement No. 2 Q: A: for ASCE 7-05 Supplement No. 2 Q: Does ASCE 7-05 Supplement No. 2 Q: Where does ASCE officially announce ASCE 705 Supplement No. 2? minimum base shear need to be considered for drift determination? A: http://content.seinstitute.org/files/pdf/ A: SupplementNo2ofthe2005EditionofASCE7.pdf Yes, Section 12.8.6.1 requires that all of the requirements of Section 12.8 be satisfied for the purpose of computing drift. www.skghoshassociates.com 32 S. K. Ghosh Associates Inc. Q: A: for ASCE 7-05 Supplement No. 2 Q: Is ASCE 7-05 going to be published with PROVISION #9 errata and Supplement No. 2 incorporated? A: “Additional printings will, to the extent FLEXIBLE VS. RIGID DIAPHRAGMS possible, include as extra pages the supplements and errata. However there's a conscious decision not to integrate them directly into the text so as to minimize confusion between one book and another.” 2006 and 2009 IBC Section 1602 Definition for Diaphragms FLEXIBLE DIAPHRAGMS DIAPHRAGM Diaphragm, blocked Prescriptive Approach Diaphragm boundary & Diaphragm chord Calculation Approach Diaphragm, flexible Diaphragm, rigid Diaphragm, unblocked ASCE 7-05 Section 12.3.1.1 Definition for Flexible Diaphragm (Prescriptive) 2006 and 2009 IBC Section 1602 Definition for Flexible Diaphragm 12.3.1.1 Flexible Diaphragm Condition. Diaphragms constructed of untopped steel decking or wood structural panels are permitted to be idealized as flexible in structures in which the vertical elements are steel or composite steel and concrete braced frames, or concrete, masonry, steel, or composite shear walls. Diaphragms of wood structural panels or untopped steel decks in one- and two-family residential buildings of light-frame construction shall also be permitted to be idealized as flexible. Diaphragm, flexible. A diaphragm is flexible for the purpose of distribution of story shear and torsional moment where so indicated in Section 12.3.1 of ASCE 7, as modified in Section 1613.6.1. www.skghoshassociates.com 33 S. K. Ghosh Associates Inc. ASCE 7-05 Section 12.3.1.3 Definition for Flexible Diaphragms by Calculation ASCE 7-05 Figure 12.3-1 Definition for Flexible Diaphragm by Calculation 12.3.1.3 Calculated Flexible Diaphragm Condition. Diaphragms … are permitted to be idealized as flexible where the computed maximum in-plane deflection of the diaphragm under lateral load is more than two times the average story drift of adjoining vertical elements of the seismic force –resisting system of the associated story under equivalent tributary lateral load as shown in Fig. 12.3-1. De MAXIMUM DIAPHRAGM DEFLECTION (MDD) SEISMIC LOADING AVERAGE DRIFT OF VERTICAL ELEMENT (ADVE) S Note: Diaphragm is flexible If MDD > 2 (ADVE). 2006 and 2009 IBC Section 1613.6.1 Definition for Flexible Diaphragm (Prescriptive) 2006 and 2009 IBC Section 1613.6.1 Definition for Flexible Diaphragm 1613.6.1 Assumption of flexible diaphragm. Add the following text at the end of Section 12.3.1.1 of ASCE 7: Condition #1: Toppings of concrete or similar materials are not placed over wood structural Diaphragms constructed of wood structural panels or untopped steel decking shall also be permitted to be idealized as flexible, provided four given conditions are met… panel diaphragms except for nonstructural toppings no greater than 1 ½ inches thick. 2006 and 2009 IBC Section 1613.6.1 Definition for Flexible Diaphragm 2006 and 2009 IBC Section 1613.6.1 Definition for Flexible Diaphragm Condition #2: Condition #3: Each line of vertical elements of the Vertical elements of the lateral-force- lateral force-resisting system complies resisting system are light-framed walls with the allowable story drift of Table sheathed with wood structural panels 12.12-1. rated for shear resistance or steel sheets. www.skghoshassociates.com 34 S. K. Ghosh Associates Inc. 2006 and 2009 IBC Section 1613.6.1 Definition for Flexible Diaphragm ASCE 7-05 Section 12.3.1.2 Definition for Rigid Diaphragm (Prescriptive) 12.3.1.2 Rigid Diaphragm Condition #4: Condition. Diaphragms of concrete slabs or Portions of wood structural panel diaphragms that cantilever beyond the vertical elements of the lateral- concrete filled metal deck with span-to-depth force-resisting system are designed in accordance ratios of 3 or less in structures that have no with [2006 IBC: Section 2305.2.5] [2009 IBC: Section horizontal irregularities are permitted to be 4.2.5.2 of AF&PA SDPWS]. idealized as rigid. 2006 and 2009 IBC Section 1602.1 Definition for Rigid Diaphragm (Calculation) ASCE 7-05 Figure 12.3-1 Definition for Diaphragm Diaphragm, rigid De A diaphragm is rigid for the purpose of MAXIMUM DIAPHRAGM DEFLECTION (MDD) SEISMIC LOADING AVERAGE DRIFT OF VERTICAL ELEMENT (ADVE) distribution of story shear and torsional S moment when the lateral deformation of the Note: Diaphragm is flexible If MDD > 2 (ADVE). diaphragm is less than or equal to two times Note: Per 2009 IBC Section 1602.1, diaphragm is rigid if MDD ≤ 2(ADVE) the average story drift. Is any of the following true? ASCE 7-05 Section 12.3.1 Definition for Diaphragms 12.3.1 Diaphragm Flexibility….Unless a Y 1- & 2-family dwelling of Vertical elements one of the following: light-frame construction •Steel braced frames •Composite steel and concrete braced Four conditions in 2009 frames IBC Section 1613.6.1 •Concrete, masonry, steel or composite are met shear walls diaphragm can be idealized as either flexible START or rigid in accordance with Sections 12.3.1.1, 12.3.1.2, or 12.3.1.3, the structural analysis Is diaphragm wood structural panels or untopped steel decking? N See Next Slide N shall explicitly include consideration of the N stiffness of the diaphragm (i.e. semirigid modeling assumption). Is diaphragm • Concrete slab? • Concrete filled metal deck? www.skghoshassociates.com 35 Assume Flexible Y Assume Rigid N Y Y Is span-to-depth ratio ≤ 3 and no horizontal irregularities? S. K. Ghosh Associates Inc. Is MDD > 2 (ADVE)? De MAXIMUM DIAPHRAGM DEFLECTION (MDD) SEISMIC LOADING AVERAGE DRIFT OF VERTICAL ELEMENT (ADVE) S N Y Assume Rigid Assume Flexible 2006 IBC 1605.4 Special Seismic Load Combinations PROVISION #10 Section 1605.4 is deleted in its entirety in the 2009 IBC. Special Seismic Load Combinations SPECIAL SEISMIC LOAD COMBINATIONS is replaced with LOAD COMBINATIONS WITH OVERSTRENGTH FACTORS of ASCE 7-05 Why Was 2006 IBC Section 1605.4 Deleted? Why Was 2006 IBC Section 1605.4 Deleted? To eliminate a disconnect between IBC and ASCE 7- To eliminate a disconnect between IBC and 05 (cont.): ASCE 7-05: – 2006 IBC had separate, unique load – 2006 IBC Section 1605.4 had one set of combinations that were to be applied where “special seismic load combinations” specifically required. applicable to both ASD and strength design. – ASCE 7-05 prescribes an equation for Em that – ASCE 7-05 has two sets of “load combinations is to be used in ASCE 7-05 Ch. 2 load with overstrength factors”…one for ASD and combinations. one for strength design. www.skghoshassociates.com 36 S. K. Ghosh Associates Inc. 1605.4 Special Seismic Load Combinations (2006 IBC) 12.4.3.2 Load Combinations with Overstrength Factor (ASCE 7-05) Basic Combinations for Strength Design • 1.2D + f1L + Em (Equation 16-22) • 0.9D + Em (Equation 16-23) with Overstrength Factor (1.2 + 0.2SDS)D + Ω0QE + L + 0.2S (0.9 − 0.2SDS)D + Ω0QE + 1.6H Em = Ω0 QE + 0.2 SDSD, while E = ρQE + 0.2 SDSD 12.4.3.3 Load Combinations with Overstrength Factor (ASCE 7-05) 12.4.3.2 Load Combinations with Overstrength Factor (ASCE 7-05) Where allowable stress design methodologies are Basic Combinations for Allowable Stress Design used, allowable stresses are permitted to be with Overstrength Factor determined using an allowable stress increase of (1.0 + 0.14SDS)D + H + F + 0.7Ω Ω0QE 1.2. (1.0 + 0.105SDS)D + H + F + 0.525Ω Ω0QE + 0.75L This increase shall not be combined with increases + 0.75(Lr or S or R) in allowable stresses or load combination reductions …except that combination with the (0.6 − 0.14SDS)D + 0.7Ω Ω0QE + H duration of load increases permitted in AF&PA NDS is permitted. 1617.1.2 Maximum Seismic Load Effect, Em (2000, 2003 IBC) What Takes the Place of Deleted 2006 IBC Section 1605.4? Where allowable stress design methodologies are used with the special New language in 2009 IBC load combinations of Section 1605.4, Section 1605.1. design strengths are permitted to be determined using an allowable stress increase of 1.7 …. www.skghoshassociates.com 37 S. K. Ghosh Associates Inc. What Takes the Place of Deleted 2006 IBC Section 1605.4? Q: A: for Load Combinations with Overstrength Factor 1605.1 General. Buildings and other structures and portions thereof shall be designed to resist: Q: Section 1605.1 of the 2009 IBC requires 1. The load combinations specified in Section 1605.2, 1605.3.1 or 1605.3.2, 2. The load combinations specified in Chapters 18 through 23, and 3. The load combinations with overstrength factor specified in Section 12.4.3.2 of ASCE 7 where required by Section 12.2.5.2, 12.3.3.3 or 12.10.2.1 of ASCE 7. With the simplified procedure of ASCE 7 Section 12.14, the load combinations with overstrength factor of Section 12. 14.3.2 of ASCE 7 shall be used. buildings and other structures and portions thereof to be designed to resist the load combinations with overstrength factor specified in Section 12.4.3.2 of ASCE 7-05 where required by Section 12.2.5.2, 12.3.3.3, or 12.10.2.1. Can you elaborate? Q: A: for Load Combinations with Overstrength Factor Q: A: for Load Combinations with Overstrength Factor A: Cantilever Column Systems A: 12.2.5.2 SDC B - F Elements Supporting Discontinuous Walls or Frames 12.3.3.3 SDC B - F Foundation and other elements used to provide overturning resistance at the base of cantilever column elements shall have the strength to resist the load combinations with over strength factor of Section 12.4.3.2. Q: A: for Load Combinations with Overstrength Factor Q: A: for Load Combinations with Overstrength Factor www.skghoshassociates.com 38 S. K. Ghosh Associates Inc. Q: A: for Load Combinations with Overstrength Factor A: Collector Elements Q: A: for Load Combinations with Overstrength Factor 12.10.2.1 (SDC C - F) Load Combinations with Overstrength Factor Thank You!! Chapter 18 References: For more information… 1810.3.6.1 Splices of deep foundation elements, SDC C through F www.skghoshassociates.com 1810.3.9.4 Seismic reinforcement, SDC C and above, Exception 3 Main Office 334 East Colfax Street, Unit E Palatine, IL 60067 Phone: (847) 991-2700 Fax: (847) 991-2702 Email: skghoshinc@gmail.com 1810.3.11.2 Deep foundation element resistance to uplift forces, SDC D through F 1810.3.12 Grade beams, SDC D through F www.skghoshassociates.com 39 West Coast Office 43 Vantis Drive Aliso Viejo, CA 92656 Phone: (949) 215-6560 Email: susandowty@gmail.com 2005 Edition of ASCE 7 Minimum Design Loads for Building and Other Structures Supplement No.2 Supplement No. 2 of ASCE 7­05 revises the minimum base shear equations for both buildings and non­building structures. The need for this change was indicated by the results from the 75% Draft of ATC­63, Quantification of Building System Performance and Response Parameters, which indicate that tall buildings may fail at an unacceptably low seismic level and therefore the minimum base shear equation for buildings is being restored to that which appeared in the 2002 edition of ASCE 7. Because nonbuilding structures not similar to buildings have low R­values compared to the special reinforced concrete moment frames studied in ATC­63, the ASCE 7 standards committee chose not to restore the high minimum base shears for nonbuilding structures not similar to buildings found in ASCE 7­02. In many cases, these previous minimum base shears gave many nonbuilding structures not similar to buildings effective R­values less than 1.0. Therefore, the Seismic Subcommittee believes that the minimum base shear equation of 0.044SDSI used for buildings should also be applied to nonbuilding structures not similar to buildings. Supplement No. 2 modifies three equations of the standard (Eq. 12.8­5, 15.4­1 and 15.4­ 3) as shown below: Supplement No. 2 to ASCE 7­05: Revise Equation 12.8­5 of Section 12.8.1.1 of ASCE 7­05 as shown below: 12.8.1.1 Calculation of Seismic Response Coefficient. The seismic response coeffi­ cient, Cs, shall be determined in accordance with Eq. 12.8­2. C s = S DS (Eq. 12.8­2) æ R ö ç ÷ è I ø where: SDS = the design spectral response acceleration parameter in the short period range as determined from Section 11.4.4 R = the response modification factor in Table 12.2­1, and I = the occupancy importance factor determined in accordance with Section 11.5.1 The value of Cs computed in accordance with Eq. 12.8­2 need not exceed the following: C s = S D 1 æ R ö T ç ÷ è I ø S T C s = D 1 L æ R ö T 2 ç ÷ è I ø for T £ T L (Eq. 12.8­3) for T > T L (Eq. 12.8­4) Cs shall not be less than Cs = 0.01 0.044SDSI ≥ 0.01 (Eq. 12.8­5) In addition, for structures located where S1 is equal to or greater than 0.6g, Cs shall not be less than C s = 0 . 5 S 1 æ R ö ç ÷ è I ø (Eq. 12.8­6) where I and R are as defined in Section 12.8.1.1 and SD1 = the design spectral response acceleration parameter at a period of 1.0 sec, as determined from Section 11.4.4 T = the fundamental period of the structure (sec) determined in Section 12.8.2 TL = long­period transition period (sec) determined in Section 11.4.5 S1 = the mapped maximum considered earthquake spectral response acceleration parameter determined in accordance with Section 11.4.1 Revise Equations 15.4­1 and 15.4­2 of Section 15.4.1, item 2, as shown below: 2. For nonbuilding systems that have an R value provided in Table 15.4­2, the seismic response coefficient (Cs) shall not be taken less than Cs = 0.03 0.044SDSI ≥ 0.03 (15.4­1) and for nonbuilding structures located where S1 ≥ 0.6g, Cs shall not be taken less than C s = 0 . 8 S 1 æ R ö ç ÷ è I ø (15.4­2) EXCEPTION: Tanks and vessels that are designed to AWWA D100, AWWA D103, API 650 Appendix E, and API 620 Appendix L as modified by this standard, shall be subject to the larger of the minimum base shear values defined by the reference document or the following equations: Cs = 0.01 0.044SDSI ≥ 0.01 (15.4­3) and for nonbuilding structures located where S1 ≥ 0.6g, Cs shall not be taken less than C s = 0 . 5 S 1 æ R ö ç ÷ è I ø (15.4­4) Minimum base shear requirements need not apply to the convective (sloshing) component of liquid in tanks.