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Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 91
Comparison of Egyptian and International
Seismic Codes for Different Building
Heights
Manar M. Hussein
Associate Professor, Department of Structural Engineering, Cairo University, Egypt
Email- [email protected]
Nehal I. Sallam
M.Sc. student, Department of Structural Engineering, Cairo University, Egypt
Walid A. Attia
Professor, Department of Structural Engineering, Cairo University, Egypt
Abstract- This research presented an investigation on different design codes commonly used in tall buildings
subjected to gravity and seismic loads. These codes are the Egyptian seismic building codes ECLF 2003 and
ECLF 2011, compared with three international codes, namely Euro Code 8 (EC 08), International Building Code
(IBC 2006), and Uniform Building Code (UBC 97). The structural systems considered are made of reinforced
concrete. The systems are Shear Wall-central core and Tube in tube. The structural analysis procedure was
carried out by (ETABS) Computer program, using both the Response Spectrum Analysis and Equivalent Static
Analysis Methods with three-dimensional finite elements models to predict the seismic response of the entire
structure. Seismic demands studies included structural period which indicated system stiffness, lateral
displacement, and base shear force resulted from seismic loads on the structure which in turn affected the
foundation design and the volume of concrete for cost effect.. Finally, the study presented a number of useful
conclusions regarding the seismic design code development in Egypt, and including also recommendation for
improving the concept of performance-based engineering (PBE) so that buildings are designed to function at
multiple desired performance levels during earthquakes, based on limiting seismic displacement of the structure,
and minimizing the cost of the whole structure without affecting its safety against resisting lateral seismic loads.
Keywords –Tall buildings,Seismic loads, Egyptian code,International codes,Drift control, Structural systems
I. INTRODUCTION
Lateral load resisting systems are assumed not to contribute in resisting the gravity loads, and are engaged
when the structure is under asset of lateral loads like wind or earthquake. The research in the field of lateral
system is continuously in process to reach optimum systems for lateral load resisting, in order fulfilling the
engineers’ requirement for both safety and economy.
In 2004, Kaihai and Yayong [1] compared the earthquake loads and seismic design provisions presented in
both the Chinese code GB5001-2001 and International Building Code IBC 2003. In 2005, A Comparison of
Seismic Provisions between the International Building Code 2003 and Mexico’s Manual of Civil Works
1993 was presented by Glenn Albert Gannon [2].In 2007, evaluation of seismic actions in Egyptian
standards compared to international codes was presented by A.M. Nasr [3]. The chosen case studies
represent the prevailing low-to mid-rise multistory framed RC building structures used in Egypt. A
comparative study for different systems used in tall buildings[4]. In 2011, The Seismic Analysis for a Multi-
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 92
Story Building Due toUBC 1997&IBC 2006 Codes was presented in [5-7]. In 2018, acomparative study for
seismic provisions of four building codes to two reinforced concrete buildings comprising shear-walls [8]. It
was recommended to provide T-formula for SW buildings in the Egyptian code.The usage of Shear walls at
different locations in a multi storied residential building was studied for the structure exposed to earthquake
using Response Spectrum Analysis [9].In 2020 [10], It was demonstrated that structural design methods can
significantly influence the values of the embodied greenhouse gas (GHG) emissions(EGHGE) of structural
systems for tall buildings, by up to 22%.
This study presented the comparative study of uniform and symmetrical tall buildings with different heights
designed according to the Egyptian codes in comparison with three of well-known international codes to
resist both gravity and seismic loads. Codes compared are Egyptian code for loads and Forces, "ECLF
2003", "ECLF 2011"[11-12],the Euro code 08, "EC 08"[13], the international building code, "IBC 2006"[14]
and uniform building code, "UBC 97"[15]. This comparison included also the efficiency of the reinforced
concrete structural systems in limiting the seismic lateral displacement, base shear force, structural period,
the inter story drift,and finally the volume of concrete. These structural systems are shear wall-central core
and tube in tube structural systems. The computer program used is "ETABS"[16] developed for reinforced
concrete structure. It is used to calculate the seismic loads using response spectrum method of analysis
"RSPM" with three-dimensional analysis. However, this method reflected the real behavior of structural
system for each height. The height applied are 10 stories (35m), 20 stories (70m), 30stories (105m), 40
stories (140m) and 50 stories (175m) in all systems with adding 60 stories (210m) and 70 stories (245m)
applied at Tube in tube structure systems [17-18].
II. METHODOLOGY
Main Objectives–
The aim of this study is to assess the current Egyptian seismic building code, through a comparative
approach with three international codes. The main objectives are as follows:
1. Linear analysis is used to study the response of the structures. The response of the structure under the
effect of lateral loads is expressed in terms of the inter-story drift in addition to lateral displacement.
The “Extended Three-dimensional Analysis of Building Structures” (ETABS) Computer program is
used to calculate the seismic response of the buildings.
2. To verify the compatibility between the Egyptian and international seismic design codes as a step
towards a unified technical specification due to the increasing number of international construction
projects which require the use of foreign codes other than the national standard.
3. To evaluate the seismic loading provision in Egypt, in comparison with current state-of the-art
earthquake resistant trends and international seismic building codes best practices.
4. To illustrate graphically a comparative study between the seismic responses outputs of the entire
structure using different design codes.
Methods of Structural Analysis–
Two methods of analysis are used. The first one is the Response Spectrum analysis. In this method, an elastic
dynamic analysis of a structure is carried out, utilizing the peak dynamic response of all modes having a significant
contribution to total structural response. Peak modal responses are calculated using the ordinates of the appropriate
response spectrum curve which correspond to the modal periods. Maximum modal contributions are combined in a
statistical manner to obtain an approximate total structural response as discussed briefly at (UBC 97, sec.1631.5).
The second method is the Time History analysis.In thismethod, an analysis of the dynamic response of a structure at
each increment of time, when the base is subjected to a specific ground motion time history as discussed briefly at
(UBC 97, sec.1631.6).
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 93
Comparison of Different Seismic Load Design–
This study investigated the seismic design following different codes and standards. These codes are the
Egyptian seismic building codes ECLF 2003 and ECLF 2011, compared with three international codes,
namely Euro Code 8 (EC 08), International Building Code (IBC 2006), and UniformBuilding Code (UBC
97). The structural systems considered are made of reinforced concrete. The systems are Shear Wall-central
core and Tube in tube. Seismic demands studies included lateral displacements, structural period, base shear
force resulted from seismic loads on the structure and the volume of concrete. Table 1 showed comparison
of base shear analysis using different studied codes.
III. CASE STUDY
Structural Systems Models–
The case-study is a symmetrical with a regular-shaped (Figure 1). Slab spans are assumed to be 6.0 m arranged in
five bays for each direction. The story height is assumed to be 3.5 m.
The first studied system is the shear wall-central core which consisted of vertical continuous stiffening
elements that deform in bending mode. It is used in reinforced concrete buildings suited to residential
buildings and hotels (Figures 2.a and 2.b). It behaved as vertical cantilevers when responding to lateral
loads, its response depends on the interaction between the horizontal floor and the vertical wall.As shown in
figure 3 Configuration of Shear wall /Central core system in "ETABS" program, the opening of central core
is 6x6 m and the columns are arranged every 6m on the floor slab, which acting as a rigid diaphragm
transmits seismic loads to the central core walls, we ignored the flexure stiffness of columns in X-direction
and Y-direction to make seismic loads resists only by central core walls, which acts as the main seismic
force resisting elements and columns used to support vertical loads only. In shear wall central core
preliminary model, the selected wall thickness is based on "ETABS" program designed according to "ACI
318-08[19-20] /IBC 2006/ (ECLF 2003, Section 6.5.1)".
The second system is the Tube in Tube which consisted of closely spaced columns and deep spandrels to tie
the columns around the perimeter of the building. The core is not only used for gravity loads but to resist
lateral loads, as well (Figure 4). Floor slabs acts as a rigid diaphragm, distribute the lateral loads to the
exterior and interior tubesaccording to their stiffness.Tube in tube system can represent by interior tube
which around the opening of the central core and exterior tube on the outer face of the structure as shown in
the figure 5. The floor slabs are very stiff and strong to transfer lateral seismic loads to both interior and
exterior tubes according to their relative stiffness. While the columns are designed supporting the vertical
loads. So, the flexure stiffness of these columns is neglected and entered to the program equal to 0.001.
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 94
Table-1 Comparison of Codes Formulae foe Determining the Base Shear Force
Item
Base Shear Formula
Base Shear
Coefficient
Considered Base Shear
Coefficient Design Factor
ECLF 2003
Fb = ɣ1 Sd (T1) . λ .W/g
ɣ1 .Sd (T1) . λ /g
Sd (T1) ordinate of the design
spectrum at period T1
No range limit is g acceleration of gravity ɣ1 importance factor of the
specified building λ effective modal mass correction
factor
EC08: 2003
Fb = Sd (T1). m. λ Sd (T1). λ /g
No range limit is
specified
Sd (T1) ordinate of the design
spectrum at period T1
g acceleration of gravity
λ effective modal mass correction
factor
SDS, SD1 design elastic response If Ta < TS acceleration at short period (0.2
IBC 2006 V = Cs W Cs =SDS /(R/IE ) sec.) and (1 sec.) period. If Ta > TS IE occupancy importance factor
Cs =SD1 /(R/IE )T Cs ≥0.044 SDS IE
R Response modification factor Cs= the seismic response coeff.
UBC 97
V= (Cv . I/R.T).W
Vmax=2.5 Ca.
I.W/R
V min =0.11 Ca. I.
W
T is a fundamental period of the structure in the direction under
consideration
I is seismic importance factor
Cv , Ca are a numerical
coefficient dependent on the soil
conditions R Response modification factor
Story Drift Limitations–
Story drift is the lateral displacement of one level of a structure relative to the level above or below. Based
on the (UBC-97, Sec. 1630.10) [15], story drifts should be determined using the maximum inelastic response
displacement, ΔM, which is defined as the maximum total drift or total story drift caused by the design-level
earthquake. Displacement includes both elastic and inelastic contributions to the total deformation. The
maximum inelastic response displacement, ΔM, should be computed from UBC-97 Formula 30-17
ΔM= 0.7 R ΔS................................................................................... ( 1 )
Where ΔS is a design level elastic response displacement found from the elastic static analysis of
"UBC-97" Sec. 1630.2.1 [15] or the elastic dynamic analysis of (UBC-97, Sec. 1631). The resulting
deformations (ΔS) should be determined at all critical locations in the structure under consideration. In
calculation of ΔS, translational and torsional deflections should be included.
For structures with a period less than 0.7 seconds, the maximum story drift is limited to
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 95
ΔS ≤ 0.025 h (T < 0.7 seconds) ............................................................ ( 2 )
Where: h is the story height.
For structures with a period equal to or greater than 0.7 seconds, the story drift limit is
ΔS ≤ 0.020 h (T ≥ 0.7 seconds) ............................................................... ( 3 )
Preliminary and Final Analysis-
By considering the chosen case-study, a thorough analysis has been carried out for the common structural
systems of tall buildings. These structural systems have been applied to be considered case-study using two
models. The first one is constructed based on designing lateral seismic force resisting element used for
different structural systems according to mentioned codes to strengthen these main elements against vertical
and seismic loads, it is called preliminary model. Then check maximum displacementlimits. If the maximum
value within the allowable limits, this model will be final model. If the value of second model out of range
the size of effective seismic force elements will be increased, until the displacement and seismic drift will be
limited.Seismic Displacement of shear wall-central core for 30 stories (preliminary and final models) are
presented in Figures 6-7.
Loading–
• Seismic Loads
The normal response spectrum shape, corresponding to "type1"(Elastic Response Spectrumfor all region of
Egypt including coastal are a lying on the Mediterranean Sea) spectrum in ECLF 2003, ECLF 2011and
"type2", low seismicity regions, the normal shape spectrum with low amplification in the long period range
(Ms < 5,5) spectrum in EC 08, is used in the analysis cases of their respective codes. For the other codes
(UBC97 and IBC2006) are with their respective normalized response spectrum curves scaled to the required
design peak ground accelerations (PGAs).
• Gravity Load
For residential building the Dead load (Superimposed load) = 3 kN/m² and the live loads = 2 kN/m²
Journal of Xi'an University of Architecture
Volume XIII, Issue 3, 2021
of Architecture & Technology
Figure 1 Structural model typical floor plan
ISSN No : 1006-7930
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Journal of Xi'an University of Architecture
Volume XIII, Issue 3, 2021
Figure
Figure
of Architecture & Technology
Figure 2 Shear wall central core building and examples of cores
Figure 3 Configuration of Shear wall -Central core system
Figure 4 Tube in tube structural system
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Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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Figure 5 Configuration of Tube in Tube system
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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Figure 6 Seismic Displacement of shear wall-central core for 30 stories (preliminary models)
Figure 7Seismic Displacement of shear wall-central core for 30 stories (Final models)
120
Equivalent static force method of analysis
113
Response spectrum method of analysis
100 93
83 83
80
66
60
allowable
limits
40
20 10 12
7
0
UBC 97 IBC EC 08 ECLF 2003 ECLF 2011
INTERNATIONAL CODES
Equivalent static force method of analysis Response spectrum method of analysis
50
45
40
35
43 40
35 37
30
25
20
15
26
10
5
0
5 6 6
UBC 97 IBC EC 08 ECLF 2003 ECLF 2011
INTERNATIONAL CODES
DIS
PLA
CE
ME
NT
(cm
) D
ISP
LAC
EM
EN
T(c
m)
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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IV. RESULTS AND DISCUSSIONS
In this section a numerical comparison of earthquake design loads among existing Egyptian codes of
practice and three of the well-known international codes was run. Codes compared are EC 08, IBC 2006,
and UBC 1997.The comparison is conducted for terms of base shear force, lateral seismic displacement,
seismic drift, structural period, as well as the volume of concrete for economic reasons. These parameters
are chosen since they form the basis for calculating all other seismic induced actions and displacements.The
tube in tube system will be presented with comparing the central core system for 20 stories height and more
up to 70 stories. Where, the tube in tube system has been used for increasing the effective depth of central
core structures and limiting the lateral seismic displacement of a high rise building.. So, we can say the tube
in tube system is very efficient in limiting the lateral seismic displacement by using the building height up to
70 stories and more, Also,It is clear that tube in tube system is more economic at 40 stories and more as
shown in figures8-9, it illustrate the volume of concrete for tube in tube system compared to shear wall-
central core system. Where, volume of concrete for 40 stories and 50 stories for tube in tube is less than
volume of concrete for shear wall-central core by approximately 52% and 75% respectively,. In fact,
beginning from 30 stories, the size of concrete walls in lower floors in shear wall core system is so big
making it unpractical to use this it in high rise building. So that tube in tube system is used in the most
famous world's tallest building.
The analytical studies are performed on real case study building structures using the dynamic analysis
procedures by each code. Finally, the results are analyzed and commented upon.
Lateral Seismic Displacement–
For Shear Wall-Central core system, figure 10 illustrates the estimated lateral seismic displacement, which
resulted from the final models by ESFM. It is obvious that, at 10, 20, stories structure, ECLF 2003 is more
conservative than other four international codes because it has the largest values of lateral seismic
displacement. Figure 11 illustrates the estimated lateral seismic displacement at Shear Wall-Central core
system, which resulted from the final models by RSPM. In general, ECLF 2003 is more conservative than
other four international codes because it has the largest values of lateral seismic displacement.With
increasing the height of structure to 30 stories, the seismic displacement is more than allowable limits at
preliminary model. With increasing the sizes of lateral forces resisting elements, in order to limit the lateral
seismicdisplacement, we have to increase the volume of concrete.
For Tube in tube system, figure 12 illustrates the estimated lateral seismic displacement, which resulted
from the final models by ESFM. It is obvious that, at 40, 50, 60 stories IBC 2006 is more conservative than
other three international codes because it has the largest values of lateral seismic displacement. On the other
side figure 13 illustrates the estimated lateral seismic displacement at tube in tube system, which resulted
from the final models by RSPM. In general, ECLF 2003 is more conservative than other three international
codes because it has the largest values of lateral seismic displacement.
Base Shear Force–
Figures14-15 illustrate comparisons between four codes due to base shear force for the shear wall central
core and Tube in tube structural systems. In general, it found that ECLF 2003 is more conservative code
relative to other three international codes. It followed by "ECLF 2011" and then EC 08. While, UBC 97
gave the least conservative values in all codes
Structural Period–
Figures 16-17 illustrate comparisons between five codes due to structural period at structural systems. In
general, it was found that the values of structural period do not have a large difference range between codes
especially at ECLF2003 which is more conservative than ECLF 2011, EC 08, UBC 97 and IBC 2006.
Where, it has the least values of structural period relative to other three mentioned codes.
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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Figure 8 Volume of Concrete for shear wall-central core system
Figure 9 Volume of Concrete for tube in tube and central core system
prelimenary models final models
25000
20664
20000
15000
10000 8484
5000 4620
2583 2226
168 168 378 462 903
0
10 stories 20 stories 30 stories 40 stories 50 stories
shear wall-central core tube in tube
25000
20664
20000
15000
10000 8484 8799
6783
5229
5000
2016
462
2583 3024 4053
0
20 stories 30 stories 40 stories 50 stories 60 stories 70 stories
vo
lum
e o
f co
ncre
te(m
3)
vo
lum
e o
f co
ncr
ete
(m3
)
Journal of Xi'an University of Architecture
Volume XIII, Issue 3, 2021
Figure 10 Comparison between seismic
Figure 11 Comparison between seismic displacements in Different
of Architecture & Technology
seismic displacement in Different Codes for Shear Wall-Central core system to
seismic displacements in Different Codes for Shear Wall-Central core system due
ISSN No : 1006-7930
Page No: 102
to "ESFM"
due to "RSPM”
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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Figure 12 Seismic Displacements in Different Codes for Tube in Tube system using "ESFM"
Figure 13 Seismic Displacements in Different Codes for Tube in Tube system using "RSPM”
60 20 story 30 story 40 story 50 story
53 60 story 70 stories
50
43 43 44
40 34
32
30 28 28 28
20 20
19 16 16 16
11
10 7 7 7 8
1 3
1 3
1 3
1 3
5
1 2
0
ECLF 2003 ECLF 2011 EC 08 IBC 2006 UBC 97
50
45
40
35
30
25
20
15
20 story 43
30 story 40 story 50 story 60 story 70 stories 43
28 28
16 16
10
5
0
7 7 9
6 6 7
3 1
3 1 1 2
4 3 1 1
5 5 7
1 1 2 4 4
ECLF 2003 ECLF 2011 EC 08 IBC 2006 UBC 97
Dis
pla
cem
en
t (c
m)
Dis
pla
cem
en
t (c
m)
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 104
20 story 30 story 40 story 50 story 60 story 70 story
30000 26800 26570
24695 25000
22525 22520 23011
5000
0
ECLF 2003 ECLF 2011 EC 08 IBC 2006 UBC 97
Figure 14 Comparison between base shear force in Different Codes for Shear Wall-Central core system
20000
18209
18200
20447 19112
15000
14470
14460
16600
13113
15559
12301
15684
13080
10000
10812
7227
10847
7220
9751
6452
11093
9130 10627
8143 8380
6567
Figure15 Base Shear Forces in Different Codes for Tube in Tube system
Ba
se S
he
ar
Fo
rce
(k
n)
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
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Figure 16 Comparison between structural period in Different Codes for Shear Wall-Central core system
Figure17 Structural Period in Different Codes for Tube in Tube system
20 story 30 story 40 story 50 story 60 story 70 story
6
5.011 5.047 5.136
5 4.815 4.901
3.949 3.99 4.0801 4.109 4.181
4
3.022 3.07 3.143 3.166 3.222
3
2.073 2.11 2.154 2.169 2.208
2
1.25 1.27 1.299 1.308 1.331
1 0.649 0.661 0.6722 0.6771 0.6892
0
ECLF 2003 ECLF 2011 EC 08 IBC 2006 UBC 97
Str
uct
ura
l Pe
rio
d (
sec.
)
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 106
V. CONCLUSION
A comparative study of uniform and symmetrical tall buildings with different heights designed according to the
Egyptian codes in comparison with three of well-known international codes to resist both gravity and seismic loads.
Codes compared are Egyptian code for loads and Forces, "ECLF 2003", "ECLF 2011",the Euro code 08, "EC 08",
the international building code, "IBC 2006" and uniform building code, "UBC 97". This comparison included the
seismic lateral displacement, base shear force, structural period, the inter story drift,and finally the volume of
concrete. The structural systems studied are shear wall-central core and tube in tube structural systems.The
following conclusions are based on the results obtained in this study:
1. Base shear values obtained from Response Spectrum Analysis Method "RSPM" were generally found
less than the corresponding base shear values calculated using Equivalent Static Analysis Method
"ESFM".
2. Comparing lateral seismic displacement in five international codes, it was found that ECLF 2003 had
the highest values of lateral seismic displacement by percentage ranged from 60%-85% relative to IBC
2006 at "RSPM" while at "ESFM" ECLF 2003 with higher values at 10, 20 stories by percentage
ranged from 6%-50%, while IBC 2006 with higher values at 30 stories and more by percentage ranged
from 3%-31%,. It was followed by ECLF 2011 by percentage ranged from 0%-7% relative to ECLF
2003 then IBC 2006, EC 08 and the least values were for UBC 1997.
3. Comparing structural period in five international codes, there was no big difference in their values,
where it ranged from 0%-3%.UBC 1997 was more conservative than, IBC 2006 and EC 08 with the
largest values of structural period. While, ECLF 2003 had the least values of structural period and
followed by ECLF 2011.
4. Comparing base shear force in five international codes, it was found that, generally, ECLF 2003 was
the most conservative code with higher values of base shear force. It was followed by ECLF 2011, EC
08, then IBC 2006 and the least values for UBC 1997. On the other hand, "ECLF 2003"&"ECLF
2011" tended to underestimate the ESFM base shear forces for higher buildings compared to the other
codes.
5. Tube in tube structural system is The stiffest system relative to other four structural systems with
respect to five international codes. It is Recommended for tall building ranged from (40-70) stories
(140m -245m) height. Also, it Got the lowest values of lateral seismic displacement in all structural
systems with respect to five international studied codes. More economic, considering the volume of
concrete.
6. Shear wall central-core system Recommended up to 20 stories (70m) height with accepted volume of
concrete. Huge thickness of walls at lower stories caused a loss in available free area and increased the
cost of buildings. More economic than rigid frame for 10 stories height. But, it was more flexible in
resisting lateral seismic loads in tall buildings
Some recommendations could be drawn from this research:
1. In future code updates of "ECLF 2011", it is necessary to add base shear ratio for RSPM to ESFM to
make it consistent with other studied codes which generally consider a minimum ratio of 0.8 to 0.9.
2. This study did not include non-structural elements, so it needs to be re-evaluated in the future.
3. The effect of wind loads was not included in this study for five international codes, so this load needs
to be added and re-examined these structural systems.
4. This study did not include the accidental torsional effects into considerations, so it needs to be re-
examined in the future.
Journal of Xi'an University of Architecture & Technology ISSN No : 1006-7930
Volume XIII, Issue 3, 2021 Page No: 107
REFERENCES
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[3] A. M. Nasr, "Evaluation of Seismic Actions in Egyptian standards compared to international codes ", M.Sc. Thesis, Faculty of Engineering, Cairo University, Giza, Egypt,2007.
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[19] ASCE Standard, "Minimum Design Loads for Buildings and other Structures, ASCE 7-05", American Society of Civil Engineering, Washington DC, 2005.
[20] ACI 318-05, American Concrete Institute Code (2005), “Building Code Requirements for Structural Concrete and Commentary”.