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SEISMIC ANALYSIS OF
RC BUILDINGS
1
INTRODUCTION
• Since earthquake forces are random in nature and
unpredictable, the static and dynamic analysis of the
structures have become the primary concern of civil
engineers.
• The main parameters of the seismic analysis of
structures are load carrying capacity, ductility,
stiffness, damping and mass.
• IS 1893-2002 is used to carryout the seismic analysis
of multi-storey building. 2
SEISMIC ANALYSIS OF STRUCTURES
• The seismic analysis type that should be used to
analyse the structure depends upon :-
 external action
 the behavior of structure or structural
materials
 the type of structural model selected
3
• The different analysis procedure are
 Linear Static Analysis
 Nonlinear Static Analysis
 Linear Dynamic Analysis
 Nonlinear Dynamic Analysis
4

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This document provides definitions and explanations of key concepts in reinforced concrete design. It defines reinforced concrete as a composite material made of concrete and steel reinforcement. The purpose of reinforcement is to improve the tensile strength of concrete. The Limit State Method of design considers both the strength limit state and serviceability limit state, making it a more realistic and economical approach compared to other methods like Working Stress Method and Ultimate Load Method. Key factors of safety in the Limit State Method include partial factors for concrete γc = 1.5, and for steel γs = 1.15.

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LINEAR STATIC ANALYSIS
5
• Also known as Equivalent Static method.
• Based on formulas given in the code of practice.
STEPS
• First, the design base shear is computed for the whole building.
• It is then distributed along the height of the building.
• The lateral forces at each floor levels thus obtained are distributed
to individual lateral load resisting elements.
6
7
Equivalent lateral shear force along two orthogonal axis
(Source: Nouredine Bourahla, "Equivalent Static Analysis of Structures Subjected to
Seismic Actions", Encyclopedia of Earthquake Engineering, Springer-Verlag Berlin
Heidelberg, 2013)
8
Limitations
The use of this method is restricted with respect to
• High seismic zones and height of the structure
• Buildings having higher modes of vibration than the
fundamental mode
• Structures having significant discontinuities in mass and
stiffness along the height

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PROCEDURE
• Calculation of the Design Seismic Base Shear, VB
• Vertical distribution of base shear along the height of
the structure
• Horizontal distribution of the level forces across the
width and breadth of the structure
• Determination of the drift, overturning moment, and
P-Delta effect
9
Design Seismic Base Shear, VB
From IS 1893- 2002, Clause 7.5.3, the design base shear
where,
W - seismic weight of the building
Ah - horizontal seismic coefficient
Horizontal Seismic Coefficient, Ah
As per IS 1893(Part 1)-2002, Clause 6.4.2
Provided that for any structure with T < 0.1 s, the value of Ah will not be taken less
than Z/2 whatever be the value of I/R.
10
Ah =
VB= Ah W
Where,
Z - Zone factor
I - Importance factor
R- Response Reduction factor
Sa/g - Average response acceleration coefficient
T -Undamped Natural period of the structure
11
Zone Factor ( Z)
• It is the indicator of the maximum seismic risk characterized by
Maximum Considered Earthquake (MCE ) in the zone in which the
structure is located.
• According to IS 1893(Part 1)-2002, Seismic Zones are classified into
II, III, IV & V respectively.
Average response acceleration coefficient (Sa/g)
• It depends on the type of rock or soil sites and also the natural period
and damping of the structure.
• It is obtained from, Clause 6.4.5, IS 1893-2002.
12

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Importance Factor (I)
• It depends on the occupancy category of the building.
• It is obtained from table 6, Clause 6.4.2, IS 1893-2002.
Site Class
• Site Class is determined based on the average properties of the soil within a
certain depth (30 m) from the ground surface.
Response Reduction factor (R)
• It is determined by the type of lateral load resisting system used.
• It is a measure of the system’s ability to accommodate earthquake loads and
absorb energy without collapse.
• It is obtained from table 7, IS 1893-2002.
13
Ta =
Fundamental Period
• The approximate fundamental natural period of vibration ( Ta ),
of a MRF building from Clause 7.6,
without brick infil panels,
with infil panels,
14
where,
h - height of the building
d- Base dimension of the building at the plinth level
Ta = 0.075 h0.75 for RC frame building
= 0.085 h0.75 for steel frame building
Vertical Distribution of Base Shear to Different Floor levels
The lateral force induced at any level hi as per Clause 7.7.1, IS 1893-
2002, can be determined by,
where,
Qi - Design lateral force at floor i
Wi - Seismic weight of floor i
hi - Height of floor i measured from base, and
n - Number of storey's in the building is the number of levels at
which the masses are located.
15
Horizontal Distribution of Base Shear
The horizontal distribution of base shear as per FEMA P749, can be
determined by
where,
Fij : force acting on the lateral force-resisting line j at a floor level i
nk : number of lateral force-resisting elements (lines)
Kij ,Kik : story stiffness of the lateral force-resisting element (line) k
and j at level i
Fi : seismic force at floor (level) i
16

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Drift Story
• It is a measure of how much one floor or roof level displaces under
the lateral force relative to the floor level immediately below.
• It is the ratio of the difference in deflection between two adjacent
floors divided by the height of the story that separates the floors.
Overturning Moment and P-Delta Effects
• There is a tendency for the moment created by equivalent static
force acting above the base to overturn the structure.
• The dead weight of the building is sufficient to resist the overturning
force, but it must be checked always.
17
• The “stability coefficient” for each story as per FEMA P749, can
be calculated as,
where,
Pi - weight of the structure above the story being evaluated
i - is the design story drift determined
Vi - is the sum of the lateral seismic design forces above the story
hi - story height
18
=
NONLINEAR STATIC ANALYSIS
19
• Also known as Pushover Analysis
• Used to estimate the strength and drift capacity of existing
structure and the seismic demand for this structure subjected to
selected earthquake.
• It can be used for checking the adequacy of new structural
design as well.
• It is an analysis in which, a mathematical model incorporates
the nonlinear load-deformation characteristics of individual
components and elements of the building which shall be
subjected to increasing lateral loads representing inertia forces
in an earthquake until a ‘target displacement’ is exceeded.
20

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• Response characteristics that can be obtained from the pushover
analysis are
– Estimates of force and displacement capacities of the structure.
– Sequences of the failure of elements and the consequent effect
on the overall structural stability.
– Identification of the critical regions, where the inelastic
deformations are expected to be high and identification of
strength irregularities of the building.
21
PROCEDURE
 In Pushover analysis the magnitude of the lateral load is
increased monotonically maintaining a predefined distribution
pattern along the height of the building.
 Building is displaced till the ‘control node’ reaches ‘target
displacement’ or building collapses.
 The sequence of cracking, plastic hinging and failure of the
structural components throughout the procedure is observed.
 The relation between base shear and control node
displacement is plotted for all the pushover analysis.
22
23
Schematic representation of pushover analysis procedure
(Source: Jan, T.S.; Liu, M.W. and Kao, Y.C. (2004), “An
upper-bond pushover analysis procedure for estimating
the seismic demands of high-rise buildings”. Engineering
structures. 117-128)
• Pushover analysis may be carried out twice:
(a) first time till the collapse of the building to estimate target
displacement.
(b) next time till the target displacement to estimate the seismic
demand.
• The seismic demands for the selected earthquake are calculated at
the target displacement level.
• The seismic demand is then compared with the corresponding
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 FEMA 356 suggests the use of at least two different patterns for
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Group – I
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25
Group – II
i) A uniform distribution consisting of lateral forces at each level proportional to the
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26
Lateral load pattern for pushover analysis as per FEMA 356
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pushover analysis procedure for estimating the seismic demands of high-
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Target Displacement
Two approaches to calculate target displacement:
(a) Displacement Coefficient Method (DCM) of FEMA 356
(b) Capacity Spectrum Method (CSM) of ATC 40
• Both of these approaches use pushover curve to calculate global
displacement demand on the building.
• The only difference in these two methods is the technique used.
27
Displacement Coefficient Method (FEMA 356)
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equivalent SDOF system assuming initial linear
properties and damping for the ground motion
excitation under consideration.
• Then it estimates the total maximum inelastic
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28

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Capacity Spectrum Method (ATC 40)
• Uses the estimates of ductility to calculate effective period and
damping.
• This procedure uses the pushover curve in an acceleration
displacement response spectrum (ADRS) format.
• This can be obtained through simple conversion using the
dynamic properties of the system.
• The pushover curve in an ADRS format is termed a ‘capacity
spectrum’ for the structure.
• The seismic ground motion is represented by a response spectrum
in the same ADRS format and it is termed as demand spectrum.
29
LINEAR DYNAMIC ANALYSIS
30
• Response spectrum method is a linear dynamic analysis
method.
• In this approach multiple mode shapes of the building
are taken into account.
• For each mode, a response is read from the design
spectrum, based on the modal frequency and the modal
mass.
• They are then combined to provide an estimate of the
total response of the structure using modal combination
methods.
31
Combination methods include the following:
• Absolute Sum method
• Square Root Sum of Squares (SRSS)
• Complete Quadratic Combination (CQC)
• The design base shear calculated using the dynamic
analysis procedure is compared with a base shear Vb ,
calculated using static analysis.
• If Vb is less than , all the response quantities, eg.
member forces, displacements, storey forces, storey
shears, and base reactions, should be multiplied by Vb /
32

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• Buildings with plan irregularities and with vertical
irregularities cannot be modelled for dynamic analysis by
this method.
• For irregular buildings, lesser than 40m in height in
zones II and III, dynamic analysis, though not mandatory,
is recommended.
33
Modal Analysis
 Modal Mass (clause 7.8.4.5(a))
Where,
- mode shape coefficient at the floor i in the mode k
- seismic weight of floor i
34
 Modal Participation Factor (Clause 7.8.4.5 (b))
 Design lateral force at each floor level in each
mode(clause7.8.4.5(c))
Where,
Qik - peak lateral force
Ak - design horizontal acceleration spectrum
35
 Storey shear forces in each mode (clause 7.8.4.5(d))
The peak storey shear, Vik
 Lateral forces at each storey due to all modes
considered(clause 7.8.4.5(f))
36
The design lateral forces, Froof and Fi, at roof and at floor i are
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Modal Combination
• The peak response quantities should be combined as per the
Complete Quadratic combinations (CQC) method
Where,
r - number of modes being consider
ρij - the cross-modal coefficient
λi, - response quantity in mode i
λj - response quantity in mode j
ξ - model damping ratio
β - frequency ratio 37
Square Root Sum of Squares (SRSS)
Absolute Sum method
• If the building has a few closely spaced modes the peak response
quantity λ* due to these modes should be obtained as
38
Where λk is the absolute value of quantity in mode k, and r is the number
of modes being considered.
NONLINEAR DYNAMIC ANALYSIS
39
• Also known as Time History Analysis(THA)
• To perform such an analysis, a representative earthquake
time history is required for a structure being evaluated.
• In this method, the mathematical model of the building is
subjected to accelerations from earthquake records that
represent the expected earthquake at the base of the
structure.
• The method consists of a step- by- step direct integration
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40

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Abstract Structure are highly susceptible to serve damages in earthquake scenario, so choosing an appropriate lateral force resisting bracing systems will have a significant effect on performance of the structure. So this present study is aimed at evaluating and comparing various types of eccentric steel bracings for 12 storey RC frame building resisting on sloping ground configurations. For this 5 types of bracing systems like X-Bracing, Diagonal bracing, K- bracing, V-bracing and inverted V bracing are considered on the outer periphery of the buildings with step back and set back – step back type configurations are modeled and analyzed. The models are compared for different aspects within the structure, such as the maximum storey displacement, base shear, storey drift and storey shear, the structure is analyzed for seismic zone V and medium soil condition as per IS 1893:2002 using ETABS software. Results conclude that on sloping ground due to irregularity on ground surface, the structures are more vulnerable to earthquakes. Hence use of eccentric steel bracing is an effective and economical way to resist earthquake forces, Inverted V type bracing performs well compared to other bracing types. By using inverted V type bracing in step back buildings types maximum storey displacement of 70% and storey drift of 66% are obtained. Similarly for setback – step back configuration maximum storey displacement of 74% and storey drift of 70% are obtained respectively. Keywords: X-Bracing, Diagonal Bracing, K- Bracing, V-Bracing and Inverted V Bracing

Earthquake2.pdf
Earthquake2.pdfEarthquake2.pdf
Earthquake2.pdf

This document discusses earthquake analysis and earthquake resistant design concepts. It begins with terminology related to earthquakes and seismic analysis. It then discusses the basic concepts of earthquake resistant design including structural simplicity, uniformity and symmetry. It also covers equivalent static analysis and calculating the seismic design base shear. The document discusses seismic zone coefficients, structural importance factors, response reduction factors, and seismic design categories. It concludes with discussions of site classification, soil factors, time periods, and determining lateral force coefficients and building masses.

Capacity Spectrum Method for RC Building with Cracked and Uncracked Section
Capacity Spectrum Method for RC Building with Cracked and Uncracked SectionCapacity Spectrum Method for RC Building with Cracked and Uncracked Section
Capacity Spectrum Method for RC Building with Cracked and Uncracked Section

one of the most widespread procedures for the assessment of building behavior, due to earthquake, is the Capacity Spectrum Method (CSM). In the scope of this procedure, capacity of the structure compares with the demands of earthquake ground motion on the structure. The capacity of the structure is represented by a nonlinear force-displacement curve, referred to as a pushover curve. The base shear forces and roof displacements are converted to equivalent spectral accelerations and spectral displacements, respectively, by means of coefficients that represent effective modal masses and modal participation factors. These spectral values define the capacity spectrum. The demands of the earthquake ground motion are represented by response spectra. A graphical construction that includes both capacity and demand spectra, results in an intersection of the two curves that estimates the performance of the structure to the earthquake. In this study, for determination of the performance levels, G+10 R.C.C. Building with cracked and uncracked section were taken. The structural Capacity of cracked and uncracked section compared with performance point value, which shows the structural capacity of building having cracked section is lesser than the uncracked section. Different modeling issues were analyzed to study the effect on Capacity of the structure with cracked and uncracked section for different position of Shear wall.

cracked and uncracked sectionresponse spectranon-linear static analysis (csm)
• The time-history method is applicable to both elastic
and inelastic analysis.
• In elastic analysis the stiffness characteristics of the
structure are assumed to be constant for the whole
duration of the earthquake.
• In the inelastic analysis, however, the stiffness is
assumed to be constant through the incremental time
only.
41
PROCEDURE
• An earthquake record representing the design earthquake is selected.
• The record is digitized as a series of small time intervals of about 1/40
to 1/25 of a second.
• A mathematical model of the building is set up, usually consisting of a
lumped mass at each floor. Damping is considered proportional to the
velocity in the computer formulation.
• The digitized record is applied to the model as accelerations at the
base of the structure.
• The equations of motions are then investigated with the help of
software program that gives a complete record of the acceleration,
velocity, and displacement of each lumped mass at each interval.
42
SAP2000
• It is a finite-element-based structural program for the
analysis and design of civil structures.
• SAP2000 is object based, meaning that the models are
created using members that represent the physical reality.
• All the seismic analysis procedures can be analysed
effectively in SAP2000.
43
CASE STUDY
44

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Static and Dynamic Behavior of Reinforced Concrete Framed Building: A Compara...
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Static and Dynamic Behavior of Reinforced Concrete Framed Building: A Compara...

Reinforced concrete frame buildings are most common type of construction in urban India, which is subjected to several types of forces during their life time such as static forces and dynamic forces due to wind and earthquakes. The static loads are constant with time, while dynamic loads are time varying, causing considerable inertia effects .It depends mainly on location of building, importance of its use and size of the building. Its consideration in analysis makes the solution more complicated and time consuming and its negligence may sometimes becomes the cause of disaster during earthquake. So it is growing interest in the process of designing civil engineering structures capable to withstand dynamic loads . The behavior of building under dynamic forces depends upon its mass and stiffness properties, whereas the static behavior is solely dependent upon the stiffness characteristics.

static analysisdynamic analysisnatural period of vibration.
D012211830
D012211830D012211830
D012211830

Pushover analysis was performed on a 12-story building model designed for seismic zones 3 and 5 in India. The analysis assessed damage at different performance levels from immediate occupancy to collapse. For the zone 3 design, yielding initially occurred in beams and then columns. The structure remained within collapse prevention limits, indicating ductile behavior. Similarly, the zone 5 design remained ductile with initial yielding in beams and columns. The structures designed using linear analysis for both seismic zones were found to perform well under pushover analysis and experience damage within acceptable limits.

iosr journal of mechanical and civil engineering
Non linear static pushover analysis
Non linear static pushover analysisNon linear static pushover analysis
Non linear static pushover analysis

Pushover is a static-nonlinear analysis method where a structure is subjected to gravity loading and a monotonic displacement-controlled lateral load pattern which continuously increases through elastic and inelastic behavior until an ultimate condition is reached. Lateral load may represent the range of base shear induced by earthquake loading, and its configuration may be proportional to the distribution of mass along building height, mode shapes, or another practical means. The static pushover analysis is becoming a popular tool for seismic performance evaluation of existing and new structures. The expectation is that the pushover analysis will provide adequate information on seismic demands imposed by the design ground motion on the structural system and its components. The purpose of the paper is to summarize the basic concepts on which the pushover analysis can be based, assess the accuracy of pushover predictions, identify conditions under which the pushover will provide adequate information and, perhaps more importantly, identify cases in which the pushover predictions will be inadequate or even misleading.

non linear static pushover analysislimitation of non linear static pushover analysis
Comparative Study of Static and Dynamic Analysis of
Multi-Storey Regular & Irregular Building
• This study was carried out by Saurabh G. Lonkar, in the year 2015.
objectives of this paper were
 To study the seismic behavior of RC building and to analyse the structure
using equivalent static method, time history Method and response spectrum
method followed by Pushover analysis.
 Determination of storey displacements.
 To check the accuracy and exactness of Time History analysis, Response
Spectrum Analysis and Equivalent Static Analysis with respect to different
conditions & aspects.
 Also to check the seismic behavior and relative displacement of regular &
irregular building in different seismic zone. 45
Structural Analysis and Modeling
• A 22 storey residential building was modelled for zone III
in SAP2000.
• The storey plan was changing for irregular building &
symmetric for regular building.
• The building had been analyzed by using equivalent static,
response spectrum and time history analysis, based on IS
codes.
• The maximum storey displacements result had been
obtained by using all methods of analysis.
46
Results and Discussions
• Displacement values between static and dynamic analysis is
insignificant for lower stories but the difference is increased in
higher stories and static analysis given higher values than
dynamic analysis.
• According to damage assessment of building, it was concluded
that the damage percentage of building was different for each
method of analysis.
• Static analysis is not sufficient for high rise building its
necessary to provide dynamic analysis because of specific & non
linear distribution of forces.
• Time history analysis should be performed as it predicts the
structural response more accurately than other two methods
based on damage assessment of building.
47
Comparative Study of Seismic Analysis of 3-Storey
RC Frame on SAP2000
• This study was carried out by Akshay Mathane, Saurabh Hete, Tushar
Kharabe, in the year 2016
The main Objectives were -
• To analyze the building as per code IS 1893-2002 part I
• To study the response of the structure such as base shear and
lateral displacement
• To study methods of earthquake analysis (Equivalent static and
Response spectrum method)
• To study seismic analysis of frame by SAP2000 48

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This document discusses the non-linear static (pushover) analysis of irregular building systems. It presents 6 building models of 13-story reinforced concrete buildings with different configurations of masonry infill walls and concrete shear walls to study their seismic performance. Non-linear static pushover analysis is performed using ETABS software to obtain the capacity curves and evaluate the performance of each model under seismic loading. The results show that the inclusion of masonry infill walls and concrete shear walls affects the seismic response of the irregular buildings, and that some configurations perform better than others.

irjet
Strengthening of RC Framed Structure Using Energy Dissipation Devices
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A large numbers of existing buildings in India are severely deficient against earthquake forces and the number of such buildings is growing very rapidly. This paper presents a way of using energy dissipation devices for seismic strengthening of a RC framed structure. The objective was to improve the seismic performance of the building to resist the earthquake. The viscous dampers are used as an energy dissipation device in the form of single, double, inverted V, V type of dampers with different percentages of damping such as 10%, 20% and 30% to prevent building from collapse in a major earthquake and also to control the damage during earthquake. The performance of the buildings is assessed as per the procedure prescribed in ATC-40 and FEMA 356.

energy dissipation devicesnon-linear static analysis.seismic performance
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This document summarizes a study that evaluated the seismic behavior of low-rise reinforced concrete buildings in Venezuela. Three models of a sample building were analyzed: the original building design, a resizing design, and a displacement-based design. Nonlinear static and dynamic analyses were performed using software. Results found the original design did not meet code drift limits and had lower ductility than the other designs. The study aims to improve seismic design procedures in Venezuela.

1
Modeling
• 3 storey building with storey height 3m having 4 bays of
5 m in X and 3 bays of 5m in Y directions for seismic
zone V was modeled in SAP2000.
Results and Discussion
49
Storey Level Displacement (Manual in mm) Displacement (SAP in mm) Displacement (%)
4 0.052469 0.050533 0.036897
3 0.044383 0.042554 0.041209
2 0.0131142 0.024788 -0.890164
1 0.015023 0.014306 0.0477268
Comparison of Storey Displacements
Storey Level Displacement by ESM in mm
as per SAP
Displacement by RSM in mm
as per SAP
4 0.050533 0.043112
3 0.042554 0.037057
2 0.029788 0.026739
1 0.014306 0.013248
50
Sl. No. Manual shear( kN) Base shear in SAP (kN)
1 1269.64 1282.039
Comparison of Base reaction
Comparison of Storey Displacements in ESM & RSM
Sl.No. Base shear by ESM in SAP
(kN)
Base shear by RSM in SAP
(kN)
1 1282.039 1275.628
Comparison of Base reaction in ESM & RSM
• Equivalent static method was simpler than Response Spectrum method, but
Static analysis was not sufficient for high-rise building.
• SAP results for Equivalent static and Response spectrum method were
nearly same.
• The results obtained from static analysis method shows higher storey
displacement values as compared to response spectrum analysis.
• Manual and SAP result of story displacement, base reaction of Equivalent
Static method were approximately same.
• Response spectrum of irregular and multistory building was very tedious
work but for the analysis of any type of building this method can be
preferred to get better results.
• Response spectrum results were more accurate than Equivalent static
method.
51
STRUCTRAL ANALYSIS AND MODELLING
• A 2D Frame of floor height 3m was modelled by SAP2000.
• Building has 2 bays of 3 m in X direction.
• The grade of concrete is M25.
• Pushover analysis procedure were carried out for 2D frame.
• Lateral load of 10kN and a Vertical load of 100kN was applied at
the roof level.
• Hinge support was provided.
• P- Delta effects were included in analysis. 52

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1. This document discusses performing a pushover analysis on a flat slab building using SAP2000 software to evaluate its seismic performance. 2. A pushover analysis applies increasing lateral loads to identify weak zones and determine the building's strength and deformation capacities. 3. The analysis revealed that retrofitting weak columns with jacketing and adding beams could significantly improve the building's lateral strength and stiffness to withstand seismic forces.

Analysis and design of building
Analysis and design of buildingAnalysis and design of building
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This document provides details of the structural analysis and design of a commercial and residential building using STAAD.Pro, AutoCAD, and STAAD.Foundation software. The building is located in Trivandrum, Kerala and consists of a basement, ground plus three floors. The document describes the site details, building plans, load calculations, modeling in STAAD.Pro, design of structural elements like beams, columns, foundation, and reinforcement details. Pile foundation is adopted based on the bore log details. The analysis helps gain knowledge of designing various components using structural analysis and design software.

structural analysissttad.prostructural design
Scheduling in poorly
Scheduling in poorlyScheduling in poorly
Scheduling in poorly

This document discusses scheduling problems in complex, poorly structured projects. It notes that scheduling becomes difficult when costs and durations depend on other activities or resources are specialized. A practical approach is to have experienced managers review and modify schedules before implementation. For more complex projects, the best solution is an iterative "generate and test" process where schedules are generated, tested for feasibility and constraints, and improvements are identified to generate new alternatives to test. The number of possible schedules is enormous, so considerable insight is needed to generate reasonable alternatives efficiently. Interactive scheduling systems using graphical displays and easy modification of schedules can help evaluate alternatives rapidly.

construction managementcritical path methodscheduling
53
2D Frame Model
54
Pushover Curve
• Pushover analyses using uniform lateral load pattern yielded capacity curves
with lower initial stiffness and base shear capacity but higher roof displacement
CONCLUSION
• Dynamic analysis for simple structures can be carried out manually,
but for complex structures finite element analysis can be used to
calculate the mode shapes and frequencies.
• Depending upon the accuracy of results needed and the importance
of the building that should be analysed various seismic analysis
procedures can be adopted like Linear Static Analysis, Nonlinear
Static Analysis, Linear Dynamic Analysis and Nonlinear Dynamic
Analysis.
• For smaller structures, response spectrum analysis or equivalent
static analysis can be used with little effort.
• If accurate and precise result is wanted from the analysis, then we
should carryout non-linear dynamic analysis.
55
• Nonlinear relationship between force and displacement
in multi-storey building structures may be determined
easy enough with the application of nonlinear static
pushover analysis.
• SAP2000 provides almost accurate results when
compared with manual calculations.
56

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Sulphate attack
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Sulphate attack occurs when sulphates react with hardened cement paste, causing expansion and cracking of concrete. Soil sulphates do not severely damage concrete, but water sulphates can enter porous concrete and react with hydration products. This forms ettringite which increases in volume, disintegrating the concrete. Sulphate attack can be external from sulphates in groundwater penetrating concrete, or internal from sulphates in the original mix. Delayed ettringite formation is a type of internal sulphate attack where ettringite decomposes during curing then reforms, expanding and damaging the concrete.

concrete technologydamages to concrete
Earth moving equipments
Earth moving equipmentsEarth moving equipments
Earth moving equipments

This document discusses various types of earth moving equipment used in construction projects. It describes excavation equipment like power shovels, backhoes, draglines, and clamshell buckets used to excavate earth and load trucks. It also covers excavating and earth moving equipment like scrapers and bulldozers used to dig and transport materials over long distances. Finally, it summarizes earth compacting equipment like smooth drum rollers, sheepfoot rollers, and pneumatic tyred rollers used to compact excavated earth in embankments and prepare surfaces for construction.

types of earth moving equipmentsconstruction management
Dampers
DampersDampers
Dampers

Dampers are mechanical systems that dissipate earthquake energy by deforming or yielding. They absorb seismic energy, reducing forces on structures and controlling building oscillations. Common types include hydraulic dampers using fluid flow, electro-rheological fluid dampers using variable viscosity fluids, metallic dampers using hysteretic behavior of metals, steel dampers using frame deformation, and friction dampers using clamped friction surfaces. Shape memory alloys also dissipate energy through large strain recovery without damage. Dampers direct earthquake energy to dissipating devices within structures, transforming mechanical energy into heat.

earthquake engineeringtypes of dampers
REFERENCE
[1] Chopra AK (1995). “Dynamics of Structures Theory and Application to Earthquake Engineering”, University of California at Berkeley, USA.
[2] Duggal S K (2010). “Earthquake Resistance Design of Structure”, Fourth Edition, Oxford University Press, New Delhi.
[3] FEMA 356 (2000), “Pre-standard and Commentary for the Seismic Rehabilitation of Buildings”, American Society of Civil Engineers, USA.
[4] IS 1893 Part 1 (2002). “Indian Standard Criteria for Earthquake Resistant Design of Structures”, Bureau of Indian Standards, New Delhi.
[5] Jan. T.S, Liu. M.W. and Kao. Y.C. (2004), “An upper-bond pushover analysis procedure for estimating the seismic demands of high-rise buildings”,
Engineering structures. 117-128.
[6] Nouredine Bourahla (2013), "Equivalent Static Analysis of Structures Subjected to Seismic Actions", Encyclopedia of Earthquake Engineering, Springer-
Verlag Berlin Heidelberg.
[7] Pankaj Agarwal and Manish Shrikhande (2014)."Earthquake Resistant Design of Structures", PHI Learning Private Limited, Delhi.
[8] Prof. Sakshi Manchalwar, Akshay Mathane, Saurabh Hete and Tushar Kharabe "Comparative Study of Seismic Analysis of 3-Storey RC Frame",
International Journal of Science, Engineering and Technology Research (IJSETR), April 2016, ISSN: 2278- 7798 .
[9] Saurabh G Lonkar and Riyaz Sameer Shah, ''Comparative Study of Static and Dynamic Analysis of Multi-Storey Regular & Irregular Building-A Review",
International Journal of Research in Engineering, Science and Technologies (IJRESTs), ISSN 2395-6453.
57
58

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Seismic Analysis

  • 2. INTRODUCTION • Since earthquake forces are random in nature and unpredictable, the static and dynamic analysis of the structures have become the primary concern of civil engineers. • The main parameters of the seismic analysis of structures are load carrying capacity, ductility, stiffness, damping and mass. • IS 1893-2002 is used to carryout the seismic analysis of multi-storey building. 2
  • 3. SEISMIC ANALYSIS OF STRUCTURES • The seismic analysis type that should be used to analyse the structure depends upon :-  external action  the behavior of structure or structural materials  the type of structural model selected 3
  • 4. • The different analysis procedure are  Linear Static Analysis  Nonlinear Static Analysis  Linear Dynamic Analysis  Nonlinear Dynamic Analysis 4
  • 6. • Also known as Equivalent Static method. • Based on formulas given in the code of practice. STEPS • First, the design base shear is computed for the whole building. • It is then distributed along the height of the building. • The lateral forces at each floor levels thus obtained are distributed to individual lateral load resisting elements. 6
  • 7. 7 Equivalent lateral shear force along two orthogonal axis (Source: Nouredine Bourahla, "Equivalent Static Analysis of Structures Subjected to Seismic Actions", Encyclopedia of Earthquake Engineering, Springer-Verlag Berlin Heidelberg, 2013)
  • 8. 8 Limitations The use of this method is restricted with respect to • High seismic zones and height of the structure • Buildings having higher modes of vibration than the fundamental mode • Structures having significant discontinuities in mass and stiffness along the height
  • 9. PROCEDURE • Calculation of the Design Seismic Base Shear, VB • Vertical distribution of base shear along the height of the structure • Horizontal distribution of the level forces across the width and breadth of the structure • Determination of the drift, overturning moment, and P-Delta effect 9
  • 10. Design Seismic Base Shear, VB From IS 1893- 2002, Clause 7.5.3, the design base shear where, W - seismic weight of the building Ah - horizontal seismic coefficient Horizontal Seismic Coefficient, Ah As per IS 1893(Part 1)-2002, Clause 6.4.2 Provided that for any structure with T < 0.1 s, the value of Ah will not be taken less than Z/2 whatever be the value of I/R. 10 Ah = VB= Ah W
  • 11. Where, Z - Zone factor I - Importance factor R- Response Reduction factor Sa/g - Average response acceleration coefficient T -Undamped Natural period of the structure 11
  • 12. Zone Factor ( Z) • It is the indicator of the maximum seismic risk characterized by Maximum Considered Earthquake (MCE ) in the zone in which the structure is located. • According to IS 1893(Part 1)-2002, Seismic Zones are classified into II, III, IV & V respectively. Average response acceleration coefficient (Sa/g) • It depends on the type of rock or soil sites and also the natural period and damping of the structure. • It is obtained from, Clause 6.4.5, IS 1893-2002. 12
  • 13. Importance Factor (I) • It depends on the occupancy category of the building. • It is obtained from table 6, Clause 6.4.2, IS 1893-2002. Site Class • Site Class is determined based on the average properties of the soil within a certain depth (30 m) from the ground surface. Response Reduction factor (R) • It is determined by the type of lateral load resisting system used. • It is a measure of the system’s ability to accommodate earthquake loads and absorb energy without collapse. • It is obtained from table 7, IS 1893-2002. 13
  • 14. Ta = Fundamental Period • The approximate fundamental natural period of vibration ( Ta ), of a MRF building from Clause 7.6, without brick infil panels, with infil panels, 14 where, h - height of the building d- Base dimension of the building at the plinth level Ta = 0.075 h0.75 for RC frame building = 0.085 h0.75 for steel frame building
  • 15. Vertical Distribution of Base Shear to Different Floor levels The lateral force induced at any level hi as per Clause 7.7.1, IS 1893- 2002, can be determined by, where, Qi - Design lateral force at floor i Wi - Seismic weight of floor i hi - Height of floor i measured from base, and n - Number of storey's in the building is the number of levels at which the masses are located. 15
  • 16. Horizontal Distribution of Base Shear The horizontal distribution of base shear as per FEMA P749, can be determined by where, Fij : force acting on the lateral force-resisting line j at a floor level i nk : number of lateral force-resisting elements (lines) Kij ,Kik : story stiffness of the lateral force-resisting element (line) k and j at level i Fi : seismic force at floor (level) i 16
  • 17. Drift Story • It is a measure of how much one floor or roof level displaces under the lateral force relative to the floor level immediately below. • It is the ratio of the difference in deflection between two adjacent floors divided by the height of the story that separates the floors. Overturning Moment and P-Delta Effects • There is a tendency for the moment created by equivalent static force acting above the base to overturn the structure. • The dead weight of the building is sufficient to resist the overturning force, but it must be checked always. 17
  • 18. • The “stability coefficient” for each story as per FEMA P749, can be calculated as, where, Pi - weight of the structure above the story being evaluated i - is the design story drift determined Vi - is the sum of the lateral seismic design forces above the story hi - story height 18 =
  • 20. • Also known as Pushover Analysis • Used to estimate the strength and drift capacity of existing structure and the seismic demand for this structure subjected to selected earthquake. • It can be used for checking the adequacy of new structural design as well. • It is an analysis in which, a mathematical model incorporates the nonlinear load-deformation characteristics of individual components and elements of the building which shall be subjected to increasing lateral loads representing inertia forces in an earthquake until a ‘target displacement’ is exceeded. 20
  • 21. • Response characteristics that can be obtained from the pushover analysis are – Estimates of force and displacement capacities of the structure. – Sequences of the failure of elements and the consequent effect on the overall structural stability. – Identification of the critical regions, where the inelastic deformations are expected to be high and identification of strength irregularities of the building. 21
  • 22. PROCEDURE  In Pushover analysis the magnitude of the lateral load is increased monotonically maintaining a predefined distribution pattern along the height of the building.  Building is displaced till the ‘control node’ reaches ‘target displacement’ or building collapses.  The sequence of cracking, plastic hinging and failure of the structural components throughout the procedure is observed.  The relation between base shear and control node displacement is plotted for all the pushover analysis. 22
  • 23. 23 Schematic representation of pushover analysis procedure (Source: Jan, T.S.; Liu, M.W. and Kao, Y.C. (2004), “An upper-bond pushover analysis procedure for estimating the seismic demands of high-rise buildings”. Engineering structures. 117-128)
  • 24. • Pushover analysis may be carried out twice: (a) first time till the collapse of the building to estimate target displacement. (b) next time till the target displacement to estimate the seismic demand. • The seismic demands for the selected earthquake are calculated at the target displacement level. • The seismic demand is then compared with the corresponding structural capacity to know what performance the structure will exhibit. 24
  • 25. Lateral Load Patterns  FEMA 356 suggests the use of at least two different patterns for all pushover analysis. Group – I i) Code-based vertical distribution of lateral forces used in equivalent static analysis ii) A vertical distribution proportional to the shape of the fundamental mode in the direction under consideration iii) A vertical distribution proportional to the story shear distribution calculated by combining modal responses from a response spectrum analysis of the building 25
  • 26. Group – II i) A uniform distribution consisting of lateral forces at each level proportional to the total mass at each level ii) An adaptive load distribution that changes as the structure is displaced 26 Lateral load pattern for pushover analysis as per FEMA 356 (Source: Jan, T.S.; Liu, M.W. and Kao, Y.C. (2004), “An upper-bond pushover analysis procedure for estimating the seismic demands of high- rise buildings”. Engineering structures. 117-128)
  • 27. Target Displacement Two approaches to calculate target displacement: (a) Displacement Coefficient Method (DCM) of FEMA 356 (b) Capacity Spectrum Method (CSM) of ATC 40 • Both of these approaches use pushover curve to calculate global displacement demand on the building. • The only difference in these two methods is the technique used. 27
  • 28. Displacement Coefficient Method (FEMA 356) • This method estimates the elastic displacement of an equivalent SDOF system assuming initial linear properties and damping for the ground motion excitation under consideration. • Then it estimates the total maximum inelastic displacement response for the building at roof by multiplying with a set of displacement coefficients. 28
  • 29. Capacity Spectrum Method (ATC 40) • Uses the estimates of ductility to calculate effective period and damping. • This procedure uses the pushover curve in an acceleration displacement response spectrum (ADRS) format. • This can be obtained through simple conversion using the dynamic properties of the system. • The pushover curve in an ADRS format is termed a ‘capacity spectrum’ for the structure. • The seismic ground motion is represented by a response spectrum in the same ADRS format and it is termed as demand spectrum. 29
  • 31. • Response spectrum method is a linear dynamic analysis method. • In this approach multiple mode shapes of the building are taken into account. • For each mode, a response is read from the design spectrum, based on the modal frequency and the modal mass. • They are then combined to provide an estimate of the total response of the structure using modal combination methods. 31
  • 32. Combination methods include the following: • Absolute Sum method • Square Root Sum of Squares (SRSS) • Complete Quadratic Combination (CQC) • The design base shear calculated using the dynamic analysis procedure is compared with a base shear Vb , calculated using static analysis. • If Vb is less than , all the response quantities, eg. member forces, displacements, storey forces, storey shears, and base reactions, should be multiplied by Vb / 32
  • 33. • Buildings with plan irregularities and with vertical irregularities cannot be modelled for dynamic analysis by this method. • For irregular buildings, lesser than 40m in height in zones II and III, dynamic analysis, though not mandatory, is recommended. 33
  • 34. Modal Analysis  Modal Mass (clause 7.8.4.5(a)) Where, - mode shape coefficient at the floor i in the mode k - seismic weight of floor i 34
  • 35.  Modal Participation Factor (Clause 7.8.4.5 (b))  Design lateral force at each floor level in each mode(clause7.8.4.5(c)) Where, Qik - peak lateral force Ak - design horizontal acceleration spectrum 35
  • 36.  Storey shear forces in each mode (clause 7.8.4.5(d)) The peak storey shear, Vik  Lateral forces at each storey due to all modes considered(clause 7.8.4.5(f)) 36 The design lateral forces, Froof and Fi, at roof and at floor i are given by
  • 37. Modal Combination • The peak response quantities should be combined as per the Complete Quadratic combinations (CQC) method Where, r - number of modes being consider ρij - the cross-modal coefficient λi, - response quantity in mode i λj - response quantity in mode j ξ - model damping ratio β - frequency ratio 37
  • 38. Square Root Sum of Squares (SRSS) Absolute Sum method • If the building has a few closely spaced modes the peak response quantity λ* due to these modes should be obtained as 38 Where λk is the absolute value of quantity in mode k, and r is the number of modes being considered.
  • 40. • Also known as Time History Analysis(THA) • To perform such an analysis, a representative earthquake time history is required for a structure being evaluated. • In this method, the mathematical model of the building is subjected to accelerations from earthquake records that represent the expected earthquake at the base of the structure. • The method consists of a step- by- step direct integration over a time interval. 40
  • 41. • The time-history method is applicable to both elastic and inelastic analysis. • In elastic analysis the stiffness characteristics of the structure are assumed to be constant for the whole duration of the earthquake. • In the inelastic analysis, however, the stiffness is assumed to be constant through the incremental time only. 41
  • 42. PROCEDURE • An earthquake record representing the design earthquake is selected. • The record is digitized as a series of small time intervals of about 1/40 to 1/25 of a second. • A mathematical model of the building is set up, usually consisting of a lumped mass at each floor. Damping is considered proportional to the velocity in the computer formulation. • The digitized record is applied to the model as accelerations at the base of the structure. • The equations of motions are then investigated with the help of software program that gives a complete record of the acceleration, velocity, and displacement of each lumped mass at each interval. 42
  • 43. SAP2000 • It is a finite-element-based structural program for the analysis and design of civil structures. • SAP2000 is object based, meaning that the models are created using members that represent the physical reality. • All the seismic analysis procedures can be analysed effectively in SAP2000. 43
  • 45. Comparative Study of Static and Dynamic Analysis of Multi-Storey Regular & Irregular Building • This study was carried out by Saurabh G. Lonkar, in the year 2015. objectives of this paper were  To study the seismic behavior of RC building and to analyse the structure using equivalent static method, time history Method and response spectrum method followed by Pushover analysis.  Determination of storey displacements.  To check the accuracy and exactness of Time History analysis, Response Spectrum Analysis and Equivalent Static Analysis with respect to different conditions & aspects.  Also to check the seismic behavior and relative displacement of regular & irregular building in different seismic zone. 45
  • 46. Structural Analysis and Modeling • A 22 storey residential building was modelled for zone III in SAP2000. • The storey plan was changing for irregular building & symmetric for regular building. • The building had been analyzed by using equivalent static, response spectrum and time history analysis, based on IS codes. • The maximum storey displacements result had been obtained by using all methods of analysis. 46
  • 47. Results and Discussions • Displacement values between static and dynamic analysis is insignificant for lower stories but the difference is increased in higher stories and static analysis given higher values than dynamic analysis. • According to damage assessment of building, it was concluded that the damage percentage of building was different for each method of analysis. • Static analysis is not sufficient for high rise building its necessary to provide dynamic analysis because of specific & non linear distribution of forces. • Time history analysis should be performed as it predicts the structural response more accurately than other two methods based on damage assessment of building. 47
  • 48. Comparative Study of Seismic Analysis of 3-Storey RC Frame on SAP2000 • This study was carried out by Akshay Mathane, Saurabh Hete, Tushar Kharabe, in the year 2016 The main Objectives were - • To analyze the building as per code IS 1893-2002 part I • To study the response of the structure such as base shear and lateral displacement • To study methods of earthquake analysis (Equivalent static and Response spectrum method) • To study seismic analysis of frame by SAP2000 48
  • 49. Modeling • 3 storey building with storey height 3m having 4 bays of 5 m in X and 3 bays of 5m in Y directions for seismic zone V was modeled in SAP2000. Results and Discussion 49 Storey Level Displacement (Manual in mm) Displacement (SAP in mm) Displacement (%) 4 0.052469 0.050533 0.036897 3 0.044383 0.042554 0.041209 2 0.0131142 0.024788 -0.890164 1 0.015023 0.014306 0.0477268 Comparison of Storey Displacements
  • 50. Storey Level Displacement by ESM in mm as per SAP Displacement by RSM in mm as per SAP 4 0.050533 0.043112 3 0.042554 0.037057 2 0.029788 0.026739 1 0.014306 0.013248 50 Sl. No. Manual shear( kN) Base shear in SAP (kN) 1 1269.64 1282.039 Comparison of Base reaction Comparison of Storey Displacements in ESM & RSM Sl.No. Base shear by ESM in SAP (kN) Base shear by RSM in SAP (kN) 1 1282.039 1275.628 Comparison of Base reaction in ESM & RSM
  • 51. • Equivalent static method was simpler than Response Spectrum method, but Static analysis was not sufficient for high-rise building. • SAP results for Equivalent static and Response spectrum method were nearly same. • The results obtained from static analysis method shows higher storey displacement values as compared to response spectrum analysis. • Manual and SAP result of story displacement, base reaction of Equivalent Static method were approximately same. • Response spectrum of irregular and multistory building was very tedious work but for the analysis of any type of building this method can be preferred to get better results. • Response spectrum results were more accurate than Equivalent static method. 51
  • 52. STRUCTRAL ANALYSIS AND MODELLING • A 2D Frame of floor height 3m was modelled by SAP2000. • Building has 2 bays of 3 m in X direction. • The grade of concrete is M25. • Pushover analysis procedure were carried out for 2D frame. • Lateral load of 10kN and a Vertical load of 100kN was applied at the roof level. • Hinge support was provided. • P- Delta effects were included in analysis. 52
  • 54. 54 Pushover Curve • Pushover analyses using uniform lateral load pattern yielded capacity curves with lower initial stiffness and base shear capacity but higher roof displacement
  • 55. CONCLUSION • Dynamic analysis for simple structures can be carried out manually, but for complex structures finite element analysis can be used to calculate the mode shapes and frequencies. • Depending upon the accuracy of results needed and the importance of the building that should be analysed various seismic analysis procedures can be adopted like Linear Static Analysis, Nonlinear Static Analysis, Linear Dynamic Analysis and Nonlinear Dynamic Analysis. • For smaller structures, response spectrum analysis or equivalent static analysis can be used with little effort. • If accurate and precise result is wanted from the analysis, then we should carryout non-linear dynamic analysis. 55
  • 56. • Nonlinear relationship between force and displacement in multi-storey building structures may be determined easy enough with the application of nonlinear static pushover analysis. • SAP2000 provides almost accurate results when compared with manual calculations. 56
  • 57. REFERENCE [1] Chopra AK (1995). “Dynamics of Structures Theory and Application to Earthquake Engineering”, University of California at Berkeley, USA. [2] Duggal S K (2010). “Earthquake Resistance Design of Structure”, Fourth Edition, Oxford University Press, New Delhi. [3] FEMA 356 (2000), “Pre-standard and Commentary for the Seismic Rehabilitation of Buildings”, American Society of Civil Engineers, USA. [4] IS 1893 Part 1 (2002). “Indian Standard Criteria for Earthquake Resistant Design of Structures”, Bureau of Indian Standards, New Delhi. [5] Jan. T.S, Liu. M.W. and Kao. Y.C. (2004), “An upper-bond pushover analysis procedure for estimating the seismic demands of high-rise buildings”, Engineering structures. 117-128. [6] Nouredine Bourahla (2013), "Equivalent Static Analysis of Structures Subjected to Seismic Actions", Encyclopedia of Earthquake Engineering, Springer- Verlag Berlin Heidelberg. [7] Pankaj Agarwal and Manish Shrikhande (2014)."Earthquake Resistant Design of Structures", PHI Learning Private Limited, Delhi. [8] Prof. Sakshi Manchalwar, Akshay Mathane, Saurabh Hete and Tushar Kharabe "Comparative Study of Seismic Analysis of 3-Storey RC Frame", International Journal of Science, Engineering and Technology Research (IJSETR), April 2016, ISSN: 2278- 7798 . [9] Saurabh G Lonkar and Riyaz Sameer Shah, ''Comparative Study of Static and Dynamic Analysis of Multi-Storey Regular & Irregular Building-A Review", International Journal of Research in Engineering, Science and Technologies (IJRESTs), ISSN 2395-6453. 57
  • 58. 58