WIND FORCE ON GUYED TOWER EMMANUEL A. VISTA JOHN CARLO C. INDICO MARK KEVIN C. LANUZO Square Cross Section with Normal Wind Direction Occupancy Category – Category I (essential facilities) Structure Classification – Class III Importance Factor, I – 1.15 Basic Wind Speed on Structure, Vst = 320 kph or 88.89 m/s Basic Wind Speed in Service, Vsv = 65.53 m/s Wind Directionality Factor, kd = 0.85 Topographic Factor, Kzt = 1.00 Gust Effect Factor = 0.85 PANEL 1 - 9 LEG SP-02 DIAGONAL 2L 50mm x 50mm x 5mm HORIZONTAL L 50mm x 50mm x 5mm Exposure Category C = 9.5 Zg = 274.32 PANEL 1 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 0.7538 𝑞𝑧 1.940 𝑭𝒔𝒕 3.2815 PANEL 2 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 0.8722 𝑞𝑧 2.244 𝑭𝒔𝒕 3.7957 PANEL 3 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 𝐶𝑓 = 4.0 - 5.9 𝑘𝑧 = + 4.0 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 𝐹𝑔 = 𝐶𝑑 𝑑𝐿𝑔 𝐺ℎ 𝑞𝑧 𝑠𝑖𝑛2 Ɵ 𝐹𝑤 = 𝐹𝑠𝑡 + 𝐹𝑔 𝐴𝑔 4.17 0.20 Ar (m^2) 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 0.9499 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 𝑞𝑧 2.444 Horizontal 3.21 0.05 0.1605 𝐹𝑠𝑡 4.1340 𝐹𝑔 0.3857 𝑭𝒘 4.5197 Total Af (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 2 + 0.97 PANEL 4 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.0092 𝑞𝑧 2.5968 𝑭𝒔𝒕 4.3925 PANEL 5 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.0578 𝑞𝑧 2.7218 𝑭𝒔𝒕 4.6039 PANEL 6 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.0992 𝑞𝑧 2.8284 𝑭𝒔𝒕 4.7842 PANEL 7 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 𝐶𝑓 = 4.0 - 5.9 𝑘𝑧 = + 4.0 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 𝐹𝑔 = 𝐶𝑑 𝑑𝐿𝑔 𝐺ℎ 𝑞𝑧 𝑠𝑖𝑛2 Ɵ 𝐹𝑤 = 𝐹𝑠𝑡 + 𝐹𝑔 𝐴𝑔 4.17 0.20 Ar (m^2) 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.1354 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 𝑞𝑧 2.9215 Horizontal 3.21 0.05 0.1605 𝐹𝑠𝑡 4.9417 𝐹𝑔 1.2943 𝑭𝒘 6.236 Total Af (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 2 + 0.97 PANEL 8 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 2 - 5.9 𝑘𝑧 = + 4.0 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐴𝑔 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 4.17 0.20 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 Horizontal 3.21 0.05 0.1605 Total Af (m^2) Ar (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 𝐶𝑓 = 4.0 + 0.97 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.1678 𝑞𝑧 3.0049 𝑭𝒔𝒕 5.0828 PANEL 9 𝐴𝑔 = L X W = 𝑅𝑟 = 0.36 + 0.26 𝐴𝑓 + 𝐴𝑟 𝐶𝑓 = 4.0 - 5.9 𝑘𝑧 = + 4.0 2 𝑧 2.01 ( ) α > 0.85 𝑧𝑔 𝑞𝑧 = 0.613 𝑘𝑧 𝑘𝑧𝑡 𝑘𝑑 𝑉𝑠𝑣 2 I 𝐹𝑠𝑡 = 𝑞𝑧 𝐺ℎ (𝐸𝑃𝐴)𝑆 𝐹𝑔 = 𝐶𝑑 𝑑𝐿𝑔 𝐺ℎ 𝑞𝑧 𝑠𝑖𝑛2 Ɵ 𝐹𝑤 = 𝐹𝑠𝑡 + 𝐹𝑔 𝐴𝑔 4.17 0.20 Ar (m^2) 𝐶𝑓 2.98 𝐷𝑓 1.00 𝐷𝑟 1.00 𝑅𝑟 0.44576 (𝐸𝑃𝐴)𝑆 1.9900 𝑘𝑧 1.1971 Component Length Width Leg 5.2 0.0603 Diagonal 7.35 0.05 0.3675 𝑞𝑧 3.0803 Horizontal 3.21 0.05 0.1605 𝐹𝑠𝑡 5.2103 𝐹𝑔 2.4775 𝑭𝒘 7.6878 Total Af (m^2) 0.31356 0.528 0.31356 2 - 0.6 3 (𝐸𝑃𝐴)𝑆 = 𝐶𝑓 [ 𝐷𝑓 Σ 𝐴𝑓 + 𝐷𝑟 Σ (𝐴𝑟 𝐷𝑟 ) ] 𝐴𝑔 2 + 0.97 TOTAL DESIGN WIND FORCE ON GUYED TOWER 𝐹𝑊 = 𝐹𝑊1 + 𝐹𝑊2 + 𝐹𝑊3 + 𝐹𝑊4 + 𝐹𝑊5 + 𝐹𝑊6 + 𝐹𝑊7 + 𝐹𝑊8 + 𝐹𝑊9 𝐹𝑊 = 3.2815 + 3.7957 + 4.5197 + 4.3925 + 4.6039 + 4.7842 + 6.236 + 5.0828 + 7.6878 𝐹𝑊 = 44.3841 KN