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Effects of Staircase on the Seismic Behavior of RC Moment Frame Buildings

Azadeh NOORIFARD
Azadeh NOORIFARD
 und 
Mohammad Reza TABESHPOUR
Mohammad Reza TABESHPOUR
   | 02. März 2022
Architecture, Civil Engineering, Environment's Cover Image
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Online veröffentlicht: 02. März 2022
Seitenbereich: 105 - 122
Eingereicht: 01. Sept. 2017
Akzeptiert: 19. Juli 2018
DOI: https://doi.org/10.21307/acee-2018-058
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© 2018 Azadeh Noorifard et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

A chart for effects of staircase on seismic behavior of structure and variables studied in defined groups
A chart for effects of staircase on seismic behavior of structure and variables studied in defined groups

Figure 2.

Architectural plan of southern building with a width of 6 meter and staircase at corner
Architectural plan of southern building with a width of 6 meter and staircase at corner

Figure 3.

Architectural plan of southern building with a width of 10 meter and staircase at corner
Architectural plan of southern building with a width of 10 meter and staircase at corner

Figure 4.

Architectural plan of northern building with a width of 10 meter and staircase at the middle of length
Architectural plan of northern building with a width of 10 meter and staircase at the middle of length

Figure 5.

Model of southern building with a width of 6 meter and staircase slabs
Model of southern building with a width of 6 meter and staircase slabs

Figure 6.

Drift ratio of southern building with a width of 6 meter in X direction
Drift ratio of southern building with a width of 6 meter in X direction

Figure 7.

Drift ratio of southern building with a width of 6 meter in Y direction
Drift ratio of southern building with a width of 6 meter in Y direction

Figure 8.

K-shaped bracing performance of staircase attached to the structure
K-shaped bracing performance of staircase attached to the structure

Figure 9.

Southern building with a width of 10 meter; (a) All frames with the same dimension, (b) Frame with shorter length on the landing, (c) Both frames of staircase with shorter length
Southern building with a width of 10 meter; (a) All frames with the same dimension, (b) Frame with shorter length on the landing, (c) Both frames of staircase with shorter length

Figure 10.

Northern building with a width of 10 meter; (a) All frames with the same dimension, (b) Frame with shorter length on the landing, (c) Both frames of staircase with shorter length
Northern building with a width of 10 meter; (a) All frames with the same dimension, (b) Frame with shorter length on the landing, (c) Both frames of staircase with shorter length

Figure 11.

Southern building with a width of 6 meter; (a) Main moment frame, (b) Hinge connections on the side of staircase, (c) Extra column on the opposite side of the staircase, (d) Columns with larger cross section on the opposite side of the staircase
Southern building with a width of 6 meter; (a) Main moment frame, (b) Hinge connections on the side of staircase, (c) Extra column on the opposite side of the staircase, (d) Columns with larger cross section on the opposite side of the staircase

Figure 12.

Shear distribution under seismic force along Y direction (ton): (Left side) Model without stair case, (Right side) Model with staircase
Shear distribution under seismic force along Y direction (ton): (Left side) Model without stair case, (Right side) Model with staircase

Figure 13.

Moment distribution under seismic force along Y direction (ton.m): (Left side) Model without stair case, (Right side) Model with staircase
Moment distribution under seismic force along Y direction (ton.m): (Left side) Model without stair case, (Right side) Model with staircase

Figure 14.

Shear distribution under seismic force along X direction (ton): (Left side) Model without stair case, (Right side) Model with staircase
Shear distribution under seismic force along X direction (ton): (Left side) Model without stair case, (Right side) Model with staircase

Figure 15.

Moment distribution under seismic force along X direction (ton.m): (Left side) Model without stair case, (Right side) Model with staircase
Moment distribution under seismic force along X direction (ton.m): (Left side) Model without stair case, (Right side) Model with staircase

Figure 16.

Staircase isolated from master structure
Staircase isolated from master structure

Concrete and rebar properties

Mass per unit volume kg/m3 Modulus of Elasticity N/mm2 Poisson’s Ratio- f’c Concrete compressive Strength N/mm2 fy Bending Reinforcement Yield Stress N/mm2 fys Shear Reinforcement Yield Stress N/mm2
2500 24516 0.15 24.5 392 392

Ratio of the maximum relative story drift to the average relative story drift in story 3 of southern building with a width of 10 meter and staircase at the corner

EQX EQXP EQXN EQY EQYP EQYN
(a) Bare frame 1.00 1.11 1.07 1.02 1.06 1.02
(b) Bare frame with slabs of stair 1.14 1.06 1.24 1.15 1.09 1.18
(c) Infilled frame 1.12 1.06 1.18 1.00 1.02 1.10
(d) Infilled frame with slabs of stair 1.19 1.12 1.25 1.12 1.05 1.21

Eccentricity of northern building with a width of 10 meter and staircase at the middle of length

Story 1 Story 2 Story 3 Story 4 Story 5
%ex %ey %ex %ey %ex %ey %ex %ey %ex %ey
(a) Bare frame 2.12 1.23 0.96 3.99 2.54 2.81 3.49 2.02 5.62 2.50
(b) Bare frame with slabs of stair -1.86 -0.21 -6.00 2.87 -6.97 1.83 -7.82 1.09 -8.07 1.43
(c) Infilled frame 2.36 3.28 1.59 7.73 2.95 8.11 3.67 8.47 5.71 10.22
(d) Infilled frame with slabs of stair 0.15 2.01 -1.87 6.67 -1.06 7.08 -0.59 7.45 1.21 9.14

Ratio of the maximum relative story drift to the average relative story drift in story 3 of southern building with a width of 6 meter and staircase at the corner

EQX EQXP EQXN EQY EQYP EQYN
(a) Bare frame 1.03 1.12 1.05 1.01 1.02 1.04
(b) Bare frame with slabs of stair 1.43 1.33 1.52 1.12 1.20 1.10
(c) Infilled frame 1.07 1.12 1.01 1.04 1.04 1.08
(d) Infilled frame with slabs of stair 1.20 1.14 1.25 1.05 1.15 1.00

Eccentricity of southern building with a width of 10 meter and staircase at the corner

Story 1 Story 2 Story 3 Story 4 Story 5
%ex %ey %ex %ey %ex %ey %ex %ey %ex %ey
(a) Bare frame 4.26 6.61 2.65 6.50 2.32 5.58 1.88 5.01 -1.46 2.28
(b) Bare frame with slabs of stair 10.70 11.64 13.24 12.40 15.63 12.62 17.38 12.92 17.27 11.12
(c) Infilled frame 4.03 9.49 2.51 11.47 4.52 12.57 6.19 13.48 6.02 12.48
(d) Infilled frame with slabs of stair 7.52 13.47 7.41 15.65 9.66 16.93 11.37 17.83 11.19 16.67

Period and mode shape of southern building with a width of 10 meter and staircase at the corner

Mode 1 Mode 2 Mode 3
Period (s) Dir. UX UY Period (s) Dir. UX UY Period (s) Dir. UX UY
(a) Bare frame 1.01 X 73.76 0.00 0.97 Y 0.01 73.43 0.82 T 0.19 1.04
(b) Bare frame with slabs of stair 0.92 X 61.95 3.17 0.83 Y 8.78 57.92 0.69 T 4.47 15.91
(c) Infilled frame 0.89 X 74.93 0.00 0.62 T 1.36 3.37 0.59 Y 0.05 77.04
(d) Infilled frame with slabs of stair 0.84 X 71.22 0.08 0.59 T 4.24 26.98 0.53 Y 1.22 53.69

Period and mode shape of southern building with a width of 6 meter and staircase at the corner

Mode 1 Mode 2 Mode 3
Period (s) Dir. UX UY Period (s) Dir. UX UY Period (s) Dir. UX UY
(a) Bare frame 0.90 X 69.45 0.00 0.74 Y 0.03 68.82 0.70 T 1.15 1.04
(b) Bare frame with slabs of stair 0.75 X 46.33 1.73 0.59 Y 14.37 47.47 0.52 T 12.26 24.05
(c) Infilled frame 0.75 X 72.73 0.00 0.48 T 0.84 0.72 0.42 Y 0.00 78.42
(d) Infilled frame with slabs of stair 0.60 X 69.86 0.01 0.43 T 4.44 5.72 0.38 Y 0.32 72.76

Eccentricity of southern building with a width of 6 meter and staircase at the corner

Story 1 Story 2 Story 3 Story 4 Story 5
%ex %ey %ex %ey %ex %ey %ex %ey %ex %ey
(a) Bare frame -0.33 4.11 -0.48 3.42 -0.15 2.65 -0.33 0.69 0.68 -2.56
(b) Bare frame with slabs of stair -7.05 13.96 -12.17 18.51 -13.03 19.89 -13.98 19.94 -14.09 18.70
(c) Infilled frame -0.37 -0.08 -0.44 -0.04 -0.07 -1.22 0.51 -2.87 2.17 -5.76
(d) Infilled frame with slabs of stair -4.35 9.58 -6.84 13.87 -6.57 14.71 -5.78 14.18 -3.89 12.24

Period and mode shape of northern building with a width of 10 meter and staircase at the middle of length

Mode 1 Mode 2 Mode 3
Period (s) Dir. UX UY Period (s) Dir. UX UY Period (s) Dir. UX UY
(a) Bare frame 1.00 X 73.01 0.14 0.90 Y 0.37 68.61 0.79 T 1.03 3.39
(b) Bare frame with slabs of stair 0.87 X 73.39 0.03 0.81 Y 0.83 50.39 0.74 T 1.04 23.82
(c) Infilled frame 0.76 X 72.82 0.05 0.57 Y 1.29 63.40 0.53 T 3.28 15.78
(d) Infilled frame with slabs of stair 0.71 X 72.25 0.00 0.53 Y 0.30 74.46 0.52 T 4.53 5.22

Ratio of the maximum relative story drift to the average relative story drift in story 2 of northern building with a width of 10 meter and staircase at the middle of length

EQX EQXP EQXN EQY EQYP EQYN
All frames the same 1.07 1.04 1.19 1.03 1.02 1.08
One different frame 1.08 1.21 1.03 1.01 1.01 1.06
Two different frames 1.07 1.03 1.19 1.00 1.04 1.04

Ratio of the maximum relative story drift to the average relative story drift in story 3 of northern building with a width of 10 meter and staircase at the middle of length

EQX EQXP EQXN EQY EQYP EQYN
(a) Bare frame 1.05 1.08 1.18 1.05 1.00 1.09
(b) Bare frame with slabs of stair 1.03 1.12 1.18 1.09 1.13 1.03
(c) Infilled frame 1.17 1.08 1.29 1.07 0.98 1.16
(d) Infilled frame with slabs of stair 1.18 1.08 1.27 0.98 1.05 1.07

Period and mode shape of southern building with a width of 6 meter

Mode 1 Mode 2 Mode 3
Period (s) Dir. UX UY Period (s) Dir. UX UY Period (s) Dir. UX UY
Bare frame 0.90 X 69.45 0.00 0.74 Y 0.03 68.82 0.70 T 1.15 1.04
Frame with staircase slabs 0.75 X 46.33 1.73 0.59 Y 14.37 47.47 0.52 T 12.26 24.05
Frame with stringer beams 0.93 X 71.58 0.05 0.72 T 0.29 14.12 0.62 Y 0.00 58.87
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