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WWW.IJITECH.ORG
ISSN 2321-8665
Vol.05,Issue.12,
December-2017,
Pages:2518-2525
Copyright @ 2017 IJIT. All rights reserved.
Analysis and Design of Irregular Building (G+13) using Non Linear Static
Method in Etabs S. KARUNAKAR REDDY
1, SYED RIZWAN
2, A. B. S. DADAPEER
3
1PG Scholar, Chiranjeevi Reddy Institute of Engineering & Technology, Anantapur, AP, India.
2Assistant Professor, Chiranjeevi Reddy Institute of Engineering & Technology, Anantapur, AP, India.
3Assistant Professor & HOD, Chiranjeevi Reddy Institute of Engineering & Technology, Anantapur, AP, India.
Abstract: The One of the major problems that the country
facing is the rapidly growing population, which necessities
more facilities in the restricted availability of land. This can be
solved to a certain extent with the construction of multistoried
building, which can serve many people in available limited
area. Hence it is the necessary requirement of multistoried
building with all facilities. Hence an attempt is made in the
project by analysis and design of irregular building (g+13)
using non linear static method in etabs. Earthquake
Engineering was developed a lot from the early days and
seismically analyzing the structures requires specialized
explicit finite element analysis software, which divides the
element into very small slices and models the actual physics.
The seismic analysis of the proposed building was done in the
software ETABS 2013, which is one of the most Advanced
software in the structural design field. The loads applied on the
structure was based on IS:875(part I)-1987[dead load], IS:875
(part II)-1987[live load], IS:875(part III)-1987[wind load],
IS:1893-2000 [Earthquake load]. Scale factor is calculated
from the design base shear (Vb) to the base shear calculated
using fundamental time period (Ta). Once the analysis was
completed all the structural components were designed
according to Indian standard code IS:456-2000. Footing,
columns, beams, slab, staircase and shear wall were designed.
Ductile detailing of the structural elements were done as per
code IS:13920-1993.
Keywords: Self Organizing Maps(SOM), MLP, ANN, Action
Recognition and Detection.
I. INTRODUCTION
The advancement and latest development of major
construction is largely associated with improving the efficiency
of the building under seismic effect, reducing cost, economic
use of new materials etc., concrete is one such material, which
is consumed in construction industry next to water
consumption in the world. This marvelous material is strong in
compression but very weak in tension. Use of dispersed
reinforcement in the cement based matrix/concrete attains
promising new material and eliminates certain drawbacks and
entrances certain property.
A. Historical Back Ground
Exact0seismic0analysis of the0structure is0highly complex
and to tackle this complexity, number of0researches has been
done with an0aim to counter the0complex dynamic0effect
of0seismic0induced forces in0structures.This0re-examination
and continuous effort has0resulted in several0revisions of
Indian Standard: 1893 (1962, 1966, 1970, 1975, 1984 and
2002) code of practice on Criteria for earthquake
resistant0design of0structuresby the0Bureau0of0Indian
Standards (BIS),0New Delhi. Many of the analysis
techniques are being used in0design and incorporated in
codes of0practices of many0countries. However, since in
the0present study our main focus is on the IS a0codal
provision, the0method of0analysis0described in IS 1893 (Part
1): 2002 are0presented in this0chapter.
B. Seismic0design0philosophy
The0design0philosophy0adopted in the0seismic0code is to
ensure that structures0possess at0least a0minimum strength
to
Resist0minor0earthquakes0which
may0occur0frequently0without0damage.
Resist0moderate0earthquake0without0significant0structu
ral0damageand0minor0non-structural0damage.
Resist0major0earthquake0without0collapse.
Design0Basis Earthquake(DBE) is defined as the maximum
earthquake that reasonably can be0expected to0experience at
the0site once during0lifetime of the structure.The0earthquake
corresponding to the0ultimate0safety0requirements is often
calledas0maximum0considered0earthquake(MCE).Generally,
DBE is half of 0MCE.
C. Design0Lateral0Force
The procedure recommended for the determination of lateral
force in IS: 1893-2002(Part 1) performing are based on the
approximation that effects of yielding can be accounted for
by linear analysis of the building using design spectrum. This
analysis is carried out by either equivalent lateral force
procedure or dynamic analysis procedure given in the clause
7.8 of IS: 1893-2002 (Part 1). The main difference between
the two procedures lies in the magnitude and distribution of
lateral forces over the height of the building. In the dynamic
analysis procedure, the lateral forces are based on properties
of the natural vibration modes of the building which are
determined by distribution of mass and stiffness over the
height. In the equivalent lateral force procedure the
S. KARUNAKAR REDDY, SYED RIZWAN, A. B. S. DADAPEER
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
magnitude of forces is based on an estimation of the
fundamental period and on the distribution of forces as given
by a simple empirical formula that is appropriate only for
regular buildings. The following sections will discuss in detail
the above mentioned procedures of seismic analysis.
D. Equivalent Lateral Force Method
The total design lateral force or design base shear along any
principal direction is given in terms of design horizontal
seismic coefficient and seismic weight of the structure. Design
horizontal seismic coefficient depends on the zone factor of the
site, importance of the structure, response reduction factor of
the lateral load resisting elements and the fundamental period
of the structure.The procedure generally used for the equivalent
static analysis is explained below:
i. Determination of fundamental natural period (Ta)of the
buildings
Ta =0.075h0.75Moment resisting RC frame building without
brick infill wall
Ta =0.085h0.75Moment resisting steel frame building without
brick infill walls
Where,
h -is the height of building in m
d - is the base of building at plinth level in m, along the
considered direction of lateral force.
ii. Determination of base shear (VB) of the building
VB =Ah×W
Where,
(1)
Is the design horizontal seismic coefficient, which depends
on the seismiczone factor (Z), importance factor (I), response
reduction factor (R) and the average response acceleration
coefficients (Sa/g). Sa/g in turn depends on the nature of
foundation soil (rock, medium or soft soil sites), natural period
and the damping of the structure.
iii. Distribution of design base shear. The design base shear VB
thus obtained shall be distributed along the height of the
building as per the following expression:
(2)
Where, Qi is the design lateral force, Wi is the seismic weight,
hi is the height of the 1thfloor measured from base and n is
thenumber of stories in the building.
Response Spectrum Method: The response spectrum
technique is really a simplified special case of modal analysis.
The modes of vibration are determined in period and shape in
the usual way and the maximum response magnitudes
corresponding to each mode are found by reference to a
response spectrum. The response spectrum method has the
great virtues of speed and cheapness. There are two major
disadvantages of using this approach. First, the method
produces a large amount of output information that can
require an enormous amount of computational effort to
conduct all possible design checks as a function of time.
Second, the analysis must be repeated for several different
earthquake motions in order to assure that all the significant
modes are excited, since a response spectrum for one
earthquake, in a specified direction, is not a smooth function.
According to the code, dynamic analysis may be performed
using either response spectrum method or the time history
method. In either method, the design base shear (VB) is
compared with a base shear VBcalculated using the
fundamental period Ta. It suggests that when VB is less than
VB, all the response quantities (for example member forces,
displacements, Storey force, Storey shears and base
reactions) must be suitably scaled by multiplying with
VB/VB. As per IS: 1893-2002 (PART 1) provisions, dynamic
analysis shall be performed to obtain the design seismic
force, and its distribution to different levels along the height
of the building and to the various lateral load resisting
elements, for the following buildings:
Regular buildings: Those greater than 40 m in
height in Zones IV and V, and those greater than 90
m in height in Zones II and III.
Irregular buildings: All framed buildings higher
than 12m in Zones IV and V, and those greater than
40m in height in Zones II and III.
Introduction: ETABS is sophisticated software for analysis
and design program developed specifically for buildings
systems. ETABS version-2013.1.5 features an in intuitive and
powerful graphical interface coupled with unmatched
modeling, analytical, and design procedures, all integrated
using common database. Although quick and easy for simple
structures, ETABS can also handle the largest and most
complex building models, including a wide range of
nonlinear behaviors, making it the tool of choice for
structural engineers in the building industry. The ETABS
building is idealized as an assemblage of area, line and point
objects. Those objects are used to represent wall, floor,
column, beam, brace and link / spring physical members. The
basic frame geometry is defined with reference to a simple
three-dimensional grid system. With relatively simple
modeling techniques, very complex framing situations may
be considered. The building may be unsymmetrical and non-
regulator in plan, Torsional behavior of the floors and
understory compatibility of the floors are accurately reflected
in the results. The solution enforces complete three-
dimensional displacement compatibility, making it possible
to capture tubular effects associated with the behavior of tall
structures having relatively closely spaced columns.
Semi-rigid floor diaphragms may be modeled to capture
the effects of in plane floor deformations. Floor objective
may span between adjacent levels to create sloped floors
(ramps), which can be useful for modeling parking garage
structures. Static analysis for user specified vertical and
lateral floor on story loads are possible. If floor elements with
plate bending capability are modeled, vertical uniform loads
Analysis and Design of Irregular Building (G+13) Using Non Linear Static Method in Etabs
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
on the floor are transferred to the beams and columns through
bending of the floor elements. The program can automatically
generate lateral wind and seismic load patterns to meet the
requirements of various building codes. Three dimensional
mode shapes and frequencies, model participation factors,
direction factors and participating mass percentage are
evaluated using Eigen vector or Ritz-vector analysis-Delta
analysis effects may be included with static or dynamic
analysis. Response spectrum analysis, linear time history
analysis, nonlinear analysis and static nonlinear analysis are
possible. The static nonlinear capabilities also allow you to
perform incremental construction analysis, so that forces that
arise as a result of construction sequence are included. Results
from the various static load cases may be combined with each
other or with the results from the dynamic response dynamic
response spectrum or time history method. Output may be
viewed graphically, displayed in tabular output, the types of
output include reactions, member forces, mode shapes,
participation factors, static and dynamic story displacements
and story shears inter story drifts and joint displacements, time
history traces and more.
II. LOAD CALCULATIONS
A. General Data
Structure = G + 13
Floor height = 3.0 m
Grade of concrete = M 35
Unit weight of concrete = 25kN/m3
Unit weight of cement mortar = 24kN/m3
Unit weight of water = 10kN/m3
Unit weight of Brick = 20kN/m3
B. Design Wind Pressure
The design wind pressure at any height above mean
ground level shall be obtained by the following relationship
between wind pressure and wind velocity
(3)
Wind Forces: The value of force coefficient apply to the
building or structure as a whole and multiplied by effective
frontal area of the building by design wind pressure, Pz gives
the total wind load on that particular building or structure. The
force coefficients are given in two mutually perpendicular
directions relative to reference axis of the structural
member. They are designed as Cpn and Cpt, give the normal
and transverse, respectively to the reference plane.
(4)
(5)
Basic wind speed at Agartala (As per IS 875-1987)
=33km/s (Vb) Terrain category (clause 5.3.2.1)
= 2
Building class (B=36m, W=53.0) (clause 5.3.2.2)
= C Risk coefficient (K1) (Assume 100 years Life period)
= 1.08
Topography factor (K3)(clause 5.3.2.3 = 1
a=53.0m a=53.0m b=36m h=28.0m
In X-direction (h/b) = 0.78
In Y-direction (h/a)= 0.53
Width of building in X-direction= 53.0m
Width of building in Y-direction= 36m
1. Value of Topography Factor (k2) - Table 1
TABLE I:
Force coefficient in X-direction = 1.075(from code IS 875-
1987(part3))
Force coefficient in Y-direction = 1.20(from code IS 875-
1987(part 3)) Design speed Vz = Vb× K1 × K2 × K3
Seismic load calculation (Based on code IS 1893-2002):
During an earthquake, ground motions develop in a random
manner both horizontally and vertically in all directions
radiating from the epicenter. The ground motions develop
vibrations in the structure inducing inertial forces on them.
Hence structures located in seismic zones should be suitably
designed and detailed to ensure strength, serviceability and
stability with acceptable levels of safety under seismic forces.
The satisfactory performance of a large number of reinforced
concrete structures subject to severe earthquake in various
parts of the world has demonstrated that it is possible to
design structures to successfully withstand the destructive
effects of major earthquakes. The Indian standard codes IS:
1893-1984 and IS: 13920-1993 have specified the minimum
design requirements of earthquake resistant design
probability of occurrence of earthquakes, the characteristics
of the structure and the foundation and the acceptable
magnitude of damage. Determination of design earthquake
forces is computed by the following methods,
Equivalent static lateral loading.
Dynamic Analysis.
In the first method, different partial safety factors are
applied to dead, live, wind earthquake forces to arrive at the
design ultimate load. In the IS: 456-2000 code, while
considering earthquake effects, wind loads assuming that
both severe wind and earthquake do not act simultaneously.
The American and Australian code recommendations are
similar but with different partial safety factors. The dynamic
analysis involves the rigorous analysis of the structural
system by studying the dynamic response of the structure by
considering the total response in terms of component modal
responses.
C. Zone Factor (Z)
The values of peak ground acceleration given in
units ‘g’ for the maximum considered earthquake.
S. KARUNAKAR REDDY, SYED RIZWAN, A. B. S. DADAPEER
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
The value of (Z/2) corresponds to design basis earthquake
damage control in limit state.
Based on history of seismic activities seism tectonic
understanding the entire country has been divided in to
four zones. The zone factor from table 2(IS 1893:2002)
TABLE II: Zone Factor Values
D. Response Reduction Factor (R)
R is the response reduction factor and controls the
permitted damage in design basis earthquake.
The minimum value of R is 3 and maximum is 5 however
to use higher values of R special ductile detailing
requirements are must and the designer is accepting more
damages but in the controlled manner. The Response
reduction factor from table 7(IS1893:2002).
E. Importance Factor (I)
I is the importance factor and permitted damage could be
reduced by setting the value of is more than ‘1’.
F. Seismic Weight (W)
Seismic weight of the building is measured in Newton.
Seismic weight includes the dead loads (that of floor,
slabs, finishes, columns, beams, water tanks, permanent
machines etc.
Seismic weight includes only a part of Imposed loads, for
example 25% to 50% of imposed loads for buildings from
table 8 (IS 1893:2002).
G. Soil Classification
Sa/g is the lateral acceleration to be established in m/s2.
For 5 present of damping three different types of curves
are recommended in IS 1893:2002 for different
stiffness of supporting media-Rock, Medium soil and Soft
soil.
The classification of soil is based on the average shear
velocity for 30m of rock or soil layers or based on average
Standard Penetration Test (SPT) values for top 30m.
Zone factor of the building (Z) = 0.1 (Zone II)
Indian IS875:1987 Auto Wind Load Calculation: This
calculation presents the automatically generated lateral wind
loads for load pattern WX according to Indian IS875:1987, as
calculated by ETABS.
Exposure Parameters:
Exposure From = Diaphragms
Structure Class = Class B
Terrain Category = Category 2
Wind Direction = 0 degrees
Basic Wind Speed, Vb [IS Fig. 1]
Windward Coefficient, Cp,wind Cp,wind=0.8
Leeward Coefficient, Cp,lee Cp,lee=0.5
Top Story = 13RF
Bottom Story = GRF
Include Parapet = No
Factors and Coefficients:
Risk Coefficient, k1 [IS 5.3.1] k1=1
Topography Factor, k3 [IS 5.3.3] k3=1
Lateral Loading:
Design Wind Speed, Vz [IS 5.3]
Vz=37.0363125
Design Wind Pressure, pz [IS 5.4]
Applied Story Forces:
TABLE III:
Dead Load (As per IS 875 part I):
Typical Floor Slab:
Self-weight of slab (150mm thick) = 3.75 kN/m2
Floor Finish = 1.5 kN/m2
Total Load = 5.25 kN/m2
Analysis and Design of Irregular Building (G+13) Using Non Linear Static Method in Etabs
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
Terrace Floor Slab:
Self-weight of slab (150mm thick) = 3.75 kN/m2
Terrace (Roof finish + Water proofing) = 3.20 kN/m2
Total Load = 6.95 kN/ m2
Live Load (As per IS 875 part II):
Living room, Toilet & Bath room = 3.00 kN/m2
General Rooms = 2.00 kN/m2
Corridors & stair case = 3.00 kN/m2
Terrace Floor = 1.5 kN/m2
Balcony/Utility =3.00 kN/m2
Wall Load: Member load due to 230mm thick exterior wall
Wall thickness = 230 mm
Floor Height = 3200 mm
Beam Depth = 450 mm (0.23 × (3-0.45) × 20) = 11.7kN/m
III. MODELLING AND ANALYSIS
A. Define Geometry
The Building Plan Grid System and Storey Data form is
used to specify horizontal and vertical grid line spacing, storey
data, storey elevation and units. They automatically add the
structural objects with appropriate properties to the model as
shown in Figs.1 and 2.
Fig.1 &2 - Building Plan Grid System and Storey Data
Definition.
B. Define Material Property
The material properties of each object in the model is
specified in the appropriate form. The material used is
concrete, the grade of concrete, the properties of concrete
such as Mass per unit volume, Modulus of Elasticity of
concrete, Poisson ratio are specified and for steel yield
strength is specified as shown in Figs.3 to 5.
S. KARUNAKAR REDDY, SYED RIZWAN, A. B. S. DADAPEER
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
Fig.3,4&5 - Material property data.
C. Define Frame Section
Assign the frame section such as Column and Beam. Select
the section property as Rectangle and define the depth, width
and reinforcement details, cover provisions. Similarly for
various sections like circular pipe, steel joist sections also
assigned with suitable data as shown in Figs.6 to 9.
Fig.6,7,8&9- Section properties and Reinforcement
details.
IV. MODEL OUTPUT
Model output of this paper is as shown in bellow Figs.20 to
25.
A. Output: 3d-Model Of A Rc Frame
Analysis and Design of Irregular Building (G+13) Using Non Linear Static Method in Etabs
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
Fig.20&21-3D model of RC frame.
B. Bending Moment Diagram From Analysis
Fig.22 & 23.Bending Moment from analysis.
C. Shear Force From Analysis
Fig. 24&25- Shear Force from analysis.
V. CONCLUSION
The Nonlinear Residential building was designed with the
earthquake resistant design consideration in Nonlinear static
method, analysis and design were done by using ETABS
software. The detailing of the structural elements were done
as per IS 13920-1993(Ductile detailing for Earthquake
resistant structures). To conclude a complete design involving
several parameters so as to result the earthquake has been
done.
VI. REFERENCES
[1] “Comparative Study of the Static and Dynamic Analysis
of Multi-Storey Irregular Building” Bahador Bagheri, Ehsan
Salimi Firoozabad, and Mohammadreza Yahyaei
[2]. Static and Dynamic Behaviour of Reinforced Concrete
Framed Building: A Comparative Study
[3]. Prakash Sangamnerkar*, Dr. S. K. Dubey,
[4].Design Cell,M.P.Housing and Infrastructure Development
Board, Bhopal (M.P.) 462013
S. KARUNAKAR REDDY, SYED RIZWAN, A. B. S. DADAPEER
International Journal of Innovative Technologies
Volume.05, Issue No.12, December-2017, Pages: 2518-2525
[5]. Professor, Deptt. Of Civil Engineering, Maulana Azad
National Institute of Technology, Bhopal (M.P.) 462051
[6]. Response Analysis of Multi-Storey RC Buildings under
Equivalent Static and Dynamic Loads According to Egyptian
Code Sayed Mahmoud1, Waleed Abdallah2 1Department of
Construction Engineering, College of Engineering, Dammam
University Dammam, Saudi Arabia 2Faculty of Engineering at
Mataria, Helwan University Cairo, Egypt
[7].Static and Dynamic Behavior of Reinforced Concrete
Framed Building: A Comparative Study
[8]. Prakash Sangamnerkar*, Dr. S. K. Dubey
[9]. Design Cell,M. P. Housing and Infrastructure Development
Board, Bhopal (M.P.) 462013
[10].Professor, Deptt. Of Civil Engineering, Maulana Azad
National Institute of Technology, Bhopal (M.P.)
[11].Bureau of Indian Standards:IS-875,part (1) 1987,Dead
loads on Buildings and Structures, New Delhi, India
[12].Bureau of Indian Standards:IS-875,part (2) 1987, Live
loads on Buildings and Structures, New Delhi, India
[13].Bureau of Indian Standards:IS-1893, part (1)
2002,Criteriaof Eqrth quakeResitant Design of Structures: part
1 General provisions on Buildings, New Delhi, India.