Design Parameters
Time Period, T
sec
Natural Frequency, n₁
Hz
Basic Wind Speed, V
mph
Exposure Category
Building Width, B
ft
Building Length, L
ft
Mean Roof Height, h
ft
Damping Ratio, β
%
Calculations
Peak Factor for Background Response, gQ
3.40
g₀ = 3.4
Section 6.5.8.1
Sec 2.4.8.2
Peak Factor for Wind Response, gᵥ
3.40
gᵥ = 3.4
Section 6.5.8.1
Sec 2.4.8.2
Peak Factor for Resonant Response, gR
4.10
gR = √[2ln(3600n₁)]+0.577/√[2ln(3600n₁)]
Equation 6-9
Equ- 6.2.11
Mean Hourly Wind Speed, Vz (ft/s)
125
VZ = b(z/33)a(88/60)V (ASCE)
Equation 6-14
Equ- 6.2.16
Mean Hourly Wind Speed Power Law Exponent, a
0.250
.
Table 6-2
Table- 6.2.10
Mean Hourly Wind Speed Factor, b
0.450
.
Table 6-2
Table- 6.2.1
Turbulence Intensity Factor, c
0.300
.
Table 6-2
Table- 6.2.10
Integral Length Scale Factor, ℓ
320
.
Table 6-2
Table- 6.2.10
Integral Length Scale Power Law Exponent, e
0.333
.
Table 6-2
Table- 6.2.10
Exposure Constant, Zmin
30.0
.
Table 6-2
Table- 6.2.10
Reduced Frequency, N1
0.217
N1 = n1Lz/Vz
Equation 6-12
Equ- 6.2.14
Rₕ Value
0.085
Rn = 7.47N1/(1+10.3N1)5/3
Equation 6-11
Equ- 6.2.13
η for Rh
252
η = 4.6n1h/Vz
Section 6.5.8.2
Sec 2.4.8.2
η for RB
0.33
η = 4.6n₁B/Vz
Section 6.5.8.2
Sec 2.4.8.2
η for RL
1.9
η = 15.4n₁L/Vz
Section 6.5.8.2
Sec 2.4.8.2
Rh Value
0.319
Rℓ = 1/η-1/(2η2)(1-e-2η) for η > 0 or Rℓ = 1 for η=0
Eq 6-13 (a-b)
Equ- 6.2.15 (a-b)
RB Value
0.612
Rℓ = 1/η-1/(2η2)(1-e-2η) for η > 0 or Rℓ = 1 for η=0
Eq 6-13 (a-b)
Eq- 6.2.15(a-b)
RL Value
0.355
Rℓ = 1/η-1/(2η2)(1-e-2η) for η > 0 or Rℓ = 1 for η=0
Eq 6-13 (a-b)
Eq- 6.2.15(a-b)
Resonant Response Factor, R
0.561
R = √[(1/β)RnRhRB(0.53+0.47RL)]
Eq 6-10
Equ- 6.2.12
Equivalent Height of Structure, z (ft)
531
z = 0.6h ≥ zmin
Table 6-2
Table- 6.2.10
Integral Length Scale of Turbulence, Lz (ft)
388
Lz = ℓ(z/33)e
Equation 6-7
Equ- 6.2.9
Background Response Factor, Q
0.632
Q = √[1/(1+0.63((B+h)/Lz)0.63)]
Equation 6-6
Equ- 6.2.8
Intensity of Turbulance, Iz
0.272
Iz = c(33/z)1/6
Equation 6-5
Equ- 6.2.7
Gust Effect Factor, Gf X-direction
0.988
Gf = 0.925[(1+1.7Iz√[gQ2Q2+gR2R2])/(1+1.7gvIz)]
Equation 6-8
Equ- 6.2.10