Wind Loads_per SNiP

1. Wind Load Calcualtions (per SNiP 2.01.07-89, Chap.6) : Length (or Height) of Equipment l ≔ 52.8 b ≔ 7.6 d≔b : Width of Equipment 1.1 Load Calculations of Average Component v0 ≔ 29.4 2 0.61 ⋅ v0 = 0.527 w0 ≔ ―――― 1000 : Basic Wind Velocity at EL. 10 m (m/sec) (region type A, 10 minute averaging time and 5 year recurrence intervals) : Wind Pressure in Wind Region III (kPa) : Coefficients k for Locality Types (Table 6) z ≔ [ 5 10 20 40 52.8 ] : Height (m) kz ≔ [ 0.75 1.0 1.25 1.5 1.6 ] z≔z T kz ≔ kz T l λ ≔ ―= 6.947 b λe ≔ 2 λ = 13.895 : Refer to App. 4 - Pattern 13 0.75 − 0.65 k ≔ ――――⋅ 5 + 0.65 = 0.7 20 − 10 γ ≔ 1.4 : Reliability Coefficient for Wind Load ⎡ 4.976 ⋅ 10 5 ⎢ 5 ―――――――→ ⎢ 5.746 ⋅ 10 5 5 Re ≔ 0.88 ⋅ d ⋅ ‾‾‾‾‾‾‾ w0 ⋅ kz ⋅ γ ⋅ 10 = ⎢ 6.424 ⋅ 10 ⎢ 7.037 ⋅ 10 5 ⎢ 5 ⎣ 7.268 ⋅ 10 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ : Reynolds Number 38 0.224 ⎥⎦ : Head Resistance : Average Component of Wind Load cx ≔ cx T .38 0.266 0.105 ⎤ ⎢ 0.175 ⎥ ⎢ 0.38 0.001 d = 7. −4 Δ ―= 1.266 0.21 ⎥ ⎢⎣ 0.316 ⋅ 10 d cx_inf ≔ [ 0.Δ ≔ 0.266 0.38 ] ――→ cx ≔ k ⋅ cx_inf = [ 0.38 0.266 0.14 ⎥ ―――→ wm ≔ w0 ⋅ kz ⋅ cx = ⎢ 0.6 : Refer to App.Pattern 14.266 ] ⎡ 0. 4 . 1)) ⋅ ――――= 0.92 ν ≔ 0.83 + (52.812 5 5 − 0.04 0.082 ⎤ ⎢ 0. .04 − 0.92 + (3.1 0.4 ⋅ d = 3.2 Load Calculations of Pulsing Component : Coefficient ζ of Wind Pressure Pulsation at Level z ζ ≔ [ 0. See Appendix 1 .95 + (3.04 − 0.856 3 5 − 0.812 4 5 − 0.69 0.04 − 0.83 + (3.62 0.1 0.88 + (3. f1 < fl .83 m 0.095 ⎥ ――→ wp ≔ wm ⋅ ζ ⋅ ν = ⎢ 0.1 : at Level 52.80 − 0.83 ρ0.83 ν ≔ 0.76 0.89 2 5 − 0.104 ⎥ ⎢ 0.778 − 0.1 0.1.1)) ⋅ ――――― = 0.80 + (52.87 − 0.88 ν ≔ 0.04 − 0.1 ⎡ 0.89 − 0.76 − 0.Case 2) fl ≔ 3.808 ν ≔ 0. ρ ≔ 0.83 − 40)) ⋅ ―――― = 0.04 − 0.778 80 − 40 0.1)) ⋅ ――――= 0.106 ⎥ ⎢⎣ 0.73 − 0.83 − 40)) ⋅ ―――― = 0.808 80 − 40 0. To simplify the procedure the fomula for the most conservative case is selected in this calculation note.1 ≔ 0.84 − 0.1)) ⋅ ――――= 0.8 : Ultimate value of Natural Frequency The pulsing component of wind load should be corrected due to the conditon.1)) ⋅ ――――= 0.95 ν ≔ 0.914 1 5 − 0.60 ] ζ≔ζ T : Coefficient ν of Wind Pressure Pulsation at Level z : Refer to Table 9.83 + (3.80 ρ5 ≔ 0.119 : Frequency of 1st Mode (Hz.85 0.109 ⎥⎦ : Pulsing Component of Wind Load f1 ≔ 1. 029 ⎥ ⎛z⎞ wp ≔ 1.wph ≔ wp = 0.058 ⎥ ⎜⎝ h ⎟⎠ ⎢ 0.168 ⋅ 10 940 ⋅ f1 : Parameter for Dynamic Coefficient (Refer to Sectoin 6.4 : Reliability Coefficient for Wind Load w0 = 0.0 : Dynamic Coefficient Determined by ε in Figure 2 h ≔ l = 52.116 ⎥ ⎢⎣ 0.4 ⋅ ― ⋅ ξ ⋅ wph = ⎢ 0.014 ⎤ ―――――→ ⎢ 0.8 : Length (or Height) of Equipment ⎡ 0.527 : Wind Pressure in Wind Region III (kPa) ‾‾‾‾‾ γ ⋅ w0 −4 ε ≔ ―――= 8.109 5 : Pulsing Component of Wind Load at Top Level γ = 1.153 ⎥⎦ : Pulsing Component of Wind Load Corrected .7) ξ ≔ 1. “Sheet1!A1”)) ⟨1⟩⟩ ⟨2⟩⟩ wind_p ≔ z wind_p ≔ w File ≔ WRITEEXCEL (“Wind_Pressure_SNiP.12 ⎤ ⎢ 0.xlsx” .031 ΣMSNiP ≔ ΣM = 3.73 ⎥ ⎢ 49.548 ⎤ ⎢ 6.517 ⋅ 10 3 ΣM ≔ F ⋅ ―+ F ⋅ z + ――― + F ⋅ z + ――― + F ⋅ z + ――― + F ⋅ z + ――― 1 2 1 3 2 4 3 5 4 2 2 ⎠ 2 ⎠ 2 ⎠ 2 ⎠⎠ ⎝ ⎝ ⎝ ⎝ ⎝ 3 ΣFSNiP ≔ ΣF = 115.xlsx” .1.431 ⎥ ―→ F ≔ w ⋅ A = ⎢ 17.442 ⎥ ―― w0 ⎢ 0.48 : Base Shear and Moemnt per ASCE 7-05 Applied V=29.227 ⎤ ⎢ 0.233 ⎥ ⎢ 0.321 ⎥ w ⎢ = 0.326 ⎥ ⎢⎣ 0.031 kN 2 2 3 3 4 4 5 5⎠ ⎝ 1 1 ⎛ ⎛ ⎛ ⎛ ⎛ z z −z ⎞ z −z ⎞ z −z ⎞ z − z ⎞⎞ 1 2 1 3 2 4 3 5 4 ⎜ ⎜ ⎜ ⎜ ⎜ ⎟ ⎟ ⎟ ⎟⎟ = 3. average) ΣFSNiP RatioΣF ≔ ―――= 0. Sum of Average and Pulsing Components A ≔ d ⋅ z = 38 A ≔ d ⋅ ⎛z − z ⎞ = 38 2 1⎠ ⎝ 2 A ≔ d ⋅ ⎛z − z ⎞ = 152 4 3⎠ ⎝ 4 ⎡ 4.639 ΣMASCE : Ratio of SNiP to ASEC ⟨1⟩⟩ ⟨2⟩⟩ Item ≔ “wind pressure” Item ≔ “height” File ≔ WRITEEXCEL (“Wind_Pressure_SNiP. “Sheet1!A2”)) ⎡ 0.4 m/s (10 min.602 ⎥ ⎢⎣ 36.716 ⎥⎦ A kN·m di 1 N t : Wind Pressure Coefficient at Each Height lF C l lti (1 t M d O l ) .169 ⎥ w ≔ wm + wp = ⎢ 0.377 ⎥⎦ : Wind Load. Item .3 Base Shear and Moment ⎡ 0.6 ΣFASCE ΣMSNiP RatioΣF ≔ ―――= 0.517 ⋅ 10 ΣFASCE ≔ 191.619 ⎥ ⎢⎣ 0.61 ΣMASCE ≔ 5508.719 ⎥⎦ A ≔ d ⋅ ⎛z − z ⎞ = 97.28 5 4⎠ ⎝ 5 1 1 A ≔ d ⋅ ⎛z − z ⎞ = 76 3 2⎠ ⎝ 3 : Applied Area at Each Height ΣF ≔ ⎛w ⋅ A + w ⋅ A + w ⋅ A + w ⋅ A + w ⋅ A ⎞ = 115. wind_p . 8 m : Length of Equipment t ≔ 25 ⋅ mm : Thickness of Equipment 3 Werection ≔ 428 ⋅ 10 ⋅ kgf 3 Woperation ≔ 1463 ⋅ 10 ⋅ kgf D ≔ d ⋅ m = 7. Natural Frequency Calcualtions (1st Mode Only) H ≔ l ⋅ m = 52.483 ⎜⎝ D ⎟⎠ 6 t 10 1 f ≔ ―= 2.984 in t ≔ t ⋅ in −1 −1 −1 = 173.Appendix 1.934 ft D ≔ D ⋅ ft t = 0.228 = 24. Erection Condition −1 5 Werection = ⎛⎝9.069 T Werection ⋅ lbf 3 W ≔ ―――――= 5.436 ⋅ 10 ⎠⎞ lbf 2 ‾‾‾‾‾‾‾‾ 7.228 ft H ≔ H ⋅ ft D = 24.78 ⎛ H ⎞ 12 ⋅ W ⋅ D T ≔ ―― ⋅ ― ⋅ ―――― = 0.447 ⋅ 10 H : Natural Period (sec) : Natural Frequency (Hz) .934 = 0.6 m : Width of Equipment : Weight of Equipment Only : Weight of Equipment plus Water H = 173.984 ※ Ultimate value of Natural Frequency ( fl ) Case 1. 225 ⋅ 10 ⎠⎞ lbf 2 ‾‾‾‾‾‾‾‾ 7.Case 2.893 ⎜⎝ D ⎟⎠ 6 t 10 1 f ≔ ―= 1. Operation Condition −1 6 Woperation = ⎛⎝3.862 ⋅ 10 H : Natural Period (sec) : Natural Frequency (Hz) .78 ⎛ H ⎞ 12 ⋅ W ⋅ D T ≔ ―― ⋅ ― ⋅ ―――― = 0.119 T Woperation ⋅ lbf 4 W ≔ ―――――― = 1.