Computing Base Shear(V) using ASCE 7-05, Study notes of Land Development

A step-by-step guide to calculate the base shear (V) using ASCE 7-05. It includes obtaining ground motion parameters, determining soil classification, site coefficients, design response acceleration parameters, approximate structure fundamental period, seismic design category, seismic importance factor, structural system and system parameters, redundancy factor, and distributing vertical lateral loads. The document also includes tables and equations for each step of the calculation.

Typology: Study notes

2021/2022

Available from 11/04/2022

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Compute Base Shear(V) using ASCE 7-05
Obtain ground motion parameters using SAMPH
for NCR map. The response acceleration
parameters(interpolated). (Ss & S1)
Soil Classification
When the soil properties are not known
in detail to determine the site class, Site
Class-D shall be used unless the
authority's jurisdiction determines.
Determine site coefficients, Fa and Fv, based on
soil classification.
Fa
SS
≤ 0.25
= 0.5
= 0.75
= 1.0
≥ 1.25
A
0.8
0.8
0.8
0.8
0.8
B
1.0
1.0
1.0
1.0
1.0
C
1.2
1.2
1.1
1.0
1.0
D
1.6
1.4
1.2
1.1
1.0
E
2.5
1.7
1.2
0.9
0.9
F
See Section 11.4.7
Fv
S1
≤ 0.1
= 0.2
= 0.3
= 0.4
≥ 0.5
A
0.8
0.8
0.8
0.8
0.8
B
1.0
1.0
1.0
1.0
1.0
C
1.7
1.6
1.5
1.4
1.3
D
2.4
2.0
1.8
1.6
1.5
E
3.5
3.2
2.8
2.4
2.4
F
See Section 11.4.7
Site coefficient
Sms = (Fa)(Ss) >short period
Sm1 = (Fv)(S1) > period of 1s
Design response acceleration parameters (Sds &
Sd1)
SDS = Sms
2
3
SD1 = Sm1
2
3
Approximate structure fundamental period
Ta = (Ct)(ℎ)𝑥
Structure Type
Ct
x
Steel moment resisting frames
0.0724
0.8
Concrete moment resisting frames
0.0466
0.9
Steel eccentrically braced frames &
Steel buckling-restrained frames
0.0731
0.75
All other structural system
0.0488
0.75
Structures NOT EXCEEDING 12 STORIES in
height
Ta = 0.1(N) N is # of storey
Tmax per Section
T = (Cu)(Ta)
Design Spectral Response
Acceleration Parameter at 1s (SD1)
≥ 0.4
0.3
0.3
0.15
≤ 0.1
Seismic Design Category, SDC
S1 ≤ 0.74 … SDC F
Seismic Importance Factor (I)
Occupancy Category
I
I or II
1.0
III
1.25
IV
1.50
Structural System and System Parameters: R,
Cd, 𝑜
R = response modification coefficient
Cd = deflection amplification
= system overstrength factor𝑜
Redundancy Factory ( )ρ
SDC F = 1.0
ρ
SDC D,E,F = 1.3
ρ
Base Shear [V = (Cs)(W)]
Cs = 𝑆𝐷𝑠
(𝑅𝐼)
Distribute Vertical Lateral Loads
Fx = (Cvx)(V)
Cvx = 𝑊𝑥(ℎ𝑥)𝑘
Σ 𝑊𝑖(ℎ𝑖)𝑘
pf2

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Compute Base Shear(V) using ASCE 7- ● Obtain ground motion parameters using SAMPH for NCR map. The response acceleration parameters(interpolated). (Ss & S1) ● Soil Classification ○ When the soil properties are not known in detail to determine the site class, Site Class-D shall be used unless the authority's jurisdiction determines. ● Determine site coefficients, Fa and Fv, based on soil classification. Fa SS ≤ 0.25 = 0.5 = 0.75 = 1.0 ≥ 1. A 0.8 0.8 0.8 0.8 0. B 1.0 1.0 1.0 1.0 1. C 1.2 1.2 1.1 1.0 1. D 1.6 1.4 1.2 1.1 1. E 2.5 1.7 1.2 0.9 0. F See Section 11.4. Fv S1 ≤ 0.1 = 0.2 = 0.3 = 0.4 ≥ 0. A 0.8 0.8 0.8 0.8 0. B 1.0 1.0 1.0 1.0 1. C 1.7 1.6 1.5 1.4 1. D 2.4 2.0 1.8 1.6 1. E 3.5 3.2 2.8 2.4 2. F See Section 11.4. ● Site coefficient ○ Sms = (Fa)(Ss) >short period ○ Sm1 = (Fv)(S1) > period of 1s ● Design response acceleration parameters (Sds & Sd1) ○ SDS = Sms 2 3 ○ SD1 = Sm 2 3 ● Approximate structure fundamental period ○ Ta = (Ct)(ℎ) 𝑥 Structure Type Ct x Steel moment resisting frames (^) 0.0724 0. Concrete moment resisting frames (^) 0.0466 0. Steel eccentrically braced frames & Steel buckling-restrained frames

All other structural system (^) 0.0488 0. ● Structures NOT EXCEEDING 12 STORIES in height ○ Ta = 0.1(N) N is # of storey ● Tmax per Section ○ T = (Cu)(Ta) Design Spectral Response Acceleration Parameter at 1s (SD1) Coefficient (Cu) ≥ 0.4 1. 0.3 1. 0.3 1. 0.15 1. ≤ 0.1 1. ● Seismic Design Category, SDC ○ S1 ≤ 0.74 … SDC F ● Seismic Importance Factor (I) Occupancy Category I I or II 1. III 1. IV 1. ● Structural System and System Parameters: R, Cd, Ω𝑜 ○ R = response modification coefficient ○ Cd = deflection amplification ○ Ω𝑜= system overstrength factor ● ● Redundancy Factory ( )ρ ○ SDC F ρ= 1. ○ SDC D,E,F ρ= 1. ● Base Shear [V = (Cs)(W)] ○ Cs = 𝑆𝐷𝑠 ( 𝑅𝐼 ) ○ ○ ○ ● Distribute Vertical Lateral Loads ○ Fx = (Cvx)(V) ○ Cvx = 𝑊𝑥(ℎ𝑥) 𝑘 Σ 𝑊𝑖(ℎ𝑖)𝑘

Compute Base Shear(V) using ASCE 7- Floor Level Height (each floor) (h) Height (adding each floor) (Hx) Weight of each floor (Wx) (Wx)(Hx) (𝑉−𝐹𝑡)(𝑊𝑥)(𝐻𝑥) Σ𝑊𝑥𝐻𝑥 Force 1 5.5 5.5 1600 8800 123. 2 3.5 9.5 1200 10800 150. 3 3.5 12.5 1950 24375 340. Total 43975 Solve each floor = 85.

4 e = 0.05 (L or B) M = F(e)