TWO STOREY SCHOOL BUILDING BUILDING DIMENSION L = 7.5 m B = 25 m Total Building height, z = 3.2m + 3.2m + 2.0m = 8.4m Bay Length = 5.0 m Height of Truss = 2.0 m 2 Roof Slope (θ) = tan−1 (5) = 21.8° Roof Mean Height, h = 3.2m + 3.2m + 1.0m = 7.4m Dead Load Roof (Researched from the Internet) Roof Covering = 0.08 kPa (Galvanized steel #20) Roof Truss = (C.E. Fowler formula) w = 0.4 + 0.04 L (L = 10 m = 32.81ft.) w = 0.4 + 0.04(32.81ft.) w = 1.712 lb. /ft2 = 0.082 kN/m2 Ceiling Frame (CEILINGS, NSCP 2015, Table 204 -2) Plywood = 0.006 kPa/mm × 10 mm = 0.06 kPa Suspended Steel Channel = 0.10 kPa Total = 0.16 kPa Partition (CONCRETE MASONRY UNITS, NSCP 2015, Table 204 -2) Concrete Hollow Block = 16.5 KN/m3 × 1m = 16.5 kPa Grout( spaced at 600mm with 100mm thickness) = 1.5 KN/m3× 1m =1.5 kPa Plaster = 0.24 kPa / side × 2 sides = 0.48 kPa Total = 18.48 kPa Floor Finish (FLOOR AND FLOOR FINISHES, NSCP 2015, Table 204 -2) Ceramic or quarry tiles (20mm) on 13 mm mortar bed = 0.77 kPa Live Load (From minimum Uniform and Concentrated Live Load, Table 205-1, NSCP 2015) Classroom = 1.9 kPa Corridor Above Ground Floor = 3.8 kPa Roof Live Load (Roof Live Load, Table 205-3, NSCP 2015) For roof slope less than 33%, for tributary area between 0 to 20 kPa = 0.75 kPa ENCLOSURE CLASSIFICATION Nomenclatures: Ag - gross area of that wall in which Ao is identified Agi - sum of gross surface areas of the building envelope (walls and roof) not including Ag Agt - sum of gross surface areas of the building envelope (walls and roof) Ao - total area of openings in a wall that receives positive external pressure Aoi - sum of the areas of openings in the building envelope (walls and roof) not including Ao Aot - sum of the areas of openings in the building envelope (walls and roof) Agi FRONT = A wall + A roof (L roof × L top chord) Agi FRONT = (6.4 ×25) + (27.5 × 5.385) Agi FRONT = 160m2 + 148.09m2 Agi FRONT = 308.09m2 Agi REAR = A wall + A roof (L roof × L top chord) Agi REAR = (6.4 ×25) + (27.5 × 5.385) Agi REAR = 160m2 + 148.09m2 Agi REAR = 308.09m2 Agi RIGHT = A wall + A truss Agi RIGHT = (6.4 ×5) + (1/2 × 2 × 10) Agi RIGHT = 32m2 + 10m2 Agi RIGHT = 42m2 Agi LEFT = A wall + A truss Agi LEFT = (6.4 ×5) + (1/2 × 2 × 10) Agi LEFT = 32m2 + 10m2 Agi LEFT = 42m2 Agt = Agi FRONT + Agi REAR + Agi RIGHT + Agi LEFT Agt = 308.09m2 +308.09m2+42m2 +42m2 Agt = 700.18 m2 Ao FRONT = A door 1 + A door 2 Ao FRONT = (9 ×0.9 ×2.1) + (2 ×0.9 ×2.1) Ao FRONT = 17.01m2 + 3.36m2 Ao FRONT = 20.37m2 Ao REAR = A window 1 + A window 2 Ao REAR = (9 ×2 ×1.5) + (2 ×1.2 ×2) Ao REAR = 17.01m2 + 3.36m2 Ao REAR = 28.2m2 Ao RIGHT = 0m2 Ao LEFT = 0m2 Aot = Ao FRONT + Ao REAR + Ao RIGHT + Ao LEFT Aot = 20.37m2 + 28.2 m2 + 0m2+ 0m2 Aot = 48.57m2 Enclosure Classification: (Front View) Ag= 6.4m × 25m = 160m2 Agi= Agt - Agi FRONT Agi= 700.18m2 - 308.09m2 Agi= 392.09m2 Ao= Ao FRONT Ao= 20.37m2 Aoi = Aot - Ao Aoi = 48.57m2 - 20.37m2 Aoi = 28.2m2 Open Building: Ao > 0.8 Ag 20.37 m2 > 0.8 (160 m2) = 128 m2 20.37 m2 < 128 m2 (not ok) Partially Enclosed Building: Case 1: Ao >1.1 Aoi 20.37m2 > 1.1 (28.2m2) 20.37m2< 31.02m2 (not ok) Case 2a: Ao > 0.37 m2 or 0.01 Ag 20.37m2 > 0.37m2 or 0.01 (160 m2) = 1.6 m2 20.37m2 > 0.37m2 (ok) Case 2b: Aoi / Agi = 28.2m2/ 392.09m2 = 0.072 < 0.20 (ok) Therefore, the building is an enclosed building. Enclosure Classification: (Rear Side View) Ag= 6.4m × 25m = 160m2 Agi= Agt - Agi REAR Agi= 700.18m2 - 308.09m2 Agi= 392.09m2 Ao= Ao FRONT Ao= 28.2m2 Aoi = Aot - Ao Aoi = 48.57m2 – 28.2m2 Aoi = 20.37m2 Open Building: Ao > 0.8 Ag 28.2m2> 0.8(160 m2) = 128 m2 28.2m2< 128 m2 (not ok) Partially Enclosed Building: Case 1: Ao >1.1 Aoi 28.2m2>1.1 (20.37m2) 28.2m2>22.407 m2 (ok) Case 2a: Ao > 0.37 m2 or 0.01 Ag 28.2m2> 0.37 m2 or 0.01 (160 m2) = 1.6 m2 28.2m2> 0.37 m2 (ok) Case 2b: Aoi / Agi = 20.37 m2/ 392.09 m2 = 0.053 < 0.20 (ok) Therefore, the building is partially enclosed building. Enclosure Classification: (Right Side View) Ag= 6.4m × 5m = 32m2 Agi= Agt - Agi RIGHT Agi= 700.18m2 - 42m2 Agi= 658.18m2 Ao= Ao RIGHT Ao= 0m2 Aoi = Aot - Ao Aoi = 48.57m2 – 0m2 Aoi = 48.57m2 Open Building: Ao > 0.8 Ag 0m2< 0.8(32m2) = 25.6 m2 0m2< 25.6 m2 (not ok) Partially Enclosed Building: Case 1: Ao >1.1 Aoi 0m2<1.1(48.57m2) 0m2<53.427 m2 (not ok) Case 2a: Ao > 0.37 m2 or 0.01 Ag 0m2< 0.37 m2 or 0.01 (32m2) = 0.32 m2 0m2< 0.32 m2 (not ok) Case 2b: Aoi / Agi = 48.57 m2/ 658.18 m2 = 0.074 < 0.20 (ok) Therefore, the building is an enclosed building. Enclosure Classification: (Left Side View) Ag= 6.4m × 5m = 32m2 Agi= Agt - Agi RIGHT Agi= 700.18m2 - 42m2 Agi= 658.18m2 Ao= Ao LEFT Ao= 0m2 Aoi = Aot - Ao Aoi = 48.57m2 – 0m2 Aoi = 48.57m2 Open Building: Ao > 0.8 Ag 0m2< 0.8(32m2) = 25.6 m2 0m2< 25.6 m2 (not ok) Partially Enclosed Building: Case 1: Ao >1.1 Aoi 0m2<1.1(48.57m2) 0m2<53.427 m2 (not ok) Case 2a: Ao > 0.37 m2 or 0.01 Ag 0m2< 0.37 m2 or 0.01 (32m2) = 0.32 m2 0m2< 0.32 m2 (not ok) Case 2b: Aoi / Agi = 48.57 m2/ 658.18 m2 = 0.073 < 0.20 (ok) Therefore, the building is an enclosed building. Wind Load Computation: Wind Load *using MWFRS (Main Wind Force Resisting System) method p = qGCp – qi(GCpi) where: q = 0.613KzKztKdV2 a) Occupancy Category = Category III b) Wind Speed, V = 270 kph (Figure 207A.5-1A, NSCP 2015) 𝑘𝑚 1000𝑚 1 ℎ𝑟 1 𝑚𝑖𝑛 = 270 ℎ𝑟 × 1 𝑘𝑚 × 60 𝑚𝑖𝑛 × 60 𝑠𝑒𝑐 = 75 m/s c) Wind directionality factor, Kd = 0.85 (Table 207A.6-1, NSCP 2015) d) Exposure Category = Exposure B (Section 207A.7.3, NSCP 2015) (The area of the building is assumed to be in an urban area) e) Topographic Factor, Kzt = 1.0 (Section 207A.8.1, NSCP 2015) f) Gust Effect Factor, G = 0.85 (Rigid Building, Section 207A.9.1, NSCP 2015) g) Enclosure Classification = Enclosed (Section 207A.10, NSCP 2015) h) Internal Pressure Coefficient, GCpi = ± 0.18 (Table 207A.11-1, NSCP 2015) i) Surface Roughness = B (Section 207A.7.2, NSCP 2015) j) Velocity Pressure Exposure Coefficient, Kz = (Table 207B.3-1, NSCP 2015) Height Above Ground Level 0 to 3.2 6.0 7.5 Exposure B 0.57 0.62 0.66 h = 6.4 m + ½ (2 m) = 7.4 m z1 (0 to 3.2) = 6.4 m z2 (3.2 to 6.4) = 6.4 m Solving for 𝐾𝑧 and 𝐾ℎ : Through Interpolation: z = 3.2 m 𝐾𝑧1 = 0.57 z = 6.4 m 7.5 − 6.4 0.66 − 𝐾𝑧 = 7.5 − 6.0 0.66 − 0.62 𝐾𝑧1 = 0.63 h = 7.4 m 7.5 − 7.4 0.66 − 𝐾𝑧 = 7.5 − 6.0 0.66 − 0.62 𝐾𝑧 = 0.66 k) External Pressure Coefficient, Cp = (Figure 207B.4-2, NSCP 2015) L/B Cp use with Windward wall All Values 0.8 qz Leeward wall 7.5/25 = 0.3 -0.5 qz Sidewall All values -0.7 qz Windward Roof: tan 𝜃 = 2 5 2 𝜃 = 𝑎𝑟𝑐 tan( ) 5 𝜃 = 21.8° Normal to Ridge for θ ≥ 10° h/L 20° 21.8° 25° ≥1.0 -0.7 -0.18 Cp1 Cp2 -0.5 0 (h / L) = 7.4m /7.5m = 0.987 m say 1 m Through Interpolation: 25 − 21.8 −0.5 − (−𝐶𝑝1 ) = 25 − 20 −0.5 − (−0.7) 𝐶𝑝1 = −0.63 25 − 21.8 0 − (−𝐶𝑝2 ) = 25 − 20 0 − (−0.18) 𝐶𝑝2 = −0.12 Leeward Roof: Normal to Ridge for θ ≥ 10° h/ L ≥1.0 ≥ 20 ° -0.6 Solving for 𝑞𝑧 and 𝑞ℎ q z1 (0 to 3.2) = 0.613 k z k zt k d V 2 q z1 (0 to 3.2) = 0.613 (0.57)(1)(0.85)(75)2 q z1 (0 to 3.2) = 1670.62 N⁄m2 q z1 (0 to 3.2) = 1.67 kN⁄m2 q z2 (3.2 to 6.4) = 0.613 k z k zt k d V 2 q z2 (3.2 to 6.4) = 0.613 (0.63)(1)(0.85)(75)2 q z2 (3.2 to 6.4) = 1846.47 N⁄m2 q z2 (3.2 to 6.4) = 1.85 kN⁄m2 q h = 0.613 k z k zt k d V 2 q h = 0.613 (0.657)(1)(0.85)(75)2 q z = 1925.61 N⁄m2 q z = 1.93 kN⁄m2 Table of Wind Load Computations: Windward Wall 0 to 3.2 Windward Wall 3.2 to 6.4 Leeward Wall Sidewall Windward Roof Leeward Roof p(kN/m2) + 0.18 Solution qGCp – qi(GCpi) 1.67(0.85)(0.8) − [1.67(0.18)] qh -0.18 1.67(0.85)(0.8) − [1.93(−0.18)] 1.483 qz qz + 0.18 1.85(0.85)(0.8) − [1.85(0.18)] 0.925 qz qh -0.18 1.85(0.85)(0.8) − [1.93(−0.18)] 1.6054 qh qz + 0.18 1.93(0.85)(−0.5) − [1.85(0.18)] -1.15325 qh qh -0.18 1.93(0.85)(−0.5) − [1.93(−0.18)] -0.47285 qh qz + 0.18 1.93(0.85)(−0.7) − [1.85(0.18)] -1.48135 qh qh -0.18 1.93(0.85)(−0.7) − [1.93(−0.18)] -0.80095 qh qz + 0.18 1.93(0.85)(−0.63) − [1.85(0.18)] -1.3615935 qh qh -0.18 1.93(0.85)(−0.63) − [1.93(−0.18)] -0.686115 qh qz + 0.18 1.93(0.85)(−0.12) − [1.85(0.18)] -0.52986 qh qh -0.18 1.93(0.85)(−0.12) − [1.93(−0.18)] 0.15054 qh qz + 0.18 1.93(0.85)(−0.6) − [1.85(0.18)] -1.3173 qh qh -0.18 1.93(0.85)(−0.6) − [1.93(−0.18)] -0.6369 q qi GCpi qz qz qz 0.835 Maximum Pressure Computed: Windward Wall (0 to 3.2) = 1.483 kPa Windward Wall (3.2 to 6.4) = 1.6054 kPa Leeward Wall = -1.3615935 kPa Windward Roof = -1.3615935 kPa Leeward Roof = -1.3173 kPa