4th project persentetion
TRANSCRIPT
NAGPUR INSTITUTE OF TECHNOLOGY, NAGPUR(Department of civil engineering Session 2015-16)
4th
Project seminar on
“Parametric study of multi storied R.C.C flat slab structure under seismic effect having different plan aspect ratio and slenderness ratio.”
Submitted bySourabh Kumar Shubham Borkar
Under the guidanceProf. Sudhir Kapgate
• Aim• Objective• Introduction• Literature Survey• Structural Modeling• Result And Discussion• Conclusion• Future Scope• References
CONTENT
AIM
Parametric study of multi storied R.C.C flat slab structure under seismic effect having different plan aspect ratio and
slenderness ratio.
OBJECTIVE
• To perform parametric study on behaviour of multi storied R.C.C. flat slab structure having same plan area but different plan aspect ratio (L/B) and slenderness ratio (H/B), under seismic condition.
• To perform static and dynamic analysis using ETABS 15 software.
• To calculate and study the response of structure situated in seismic zone IV and their comparison.
• To determine limit aspect ratio and slenderness ratio for safe and stable structure.
INTRODUCTIONFLAT SLAB
A slab is a flat, two dimensional, planar structural element having thickness
small compared to its other two dimensions. It provides a working flat surface or
a covering shelter in buildings. It supports mainly transverse loads and transfers
them to support primarily by bending element just like flat plate. Hence in
warehouses, offices and public halls sometimes beams are avoided and slabs are
directly supported by columns. These types of construction are aesthetically
appealing also. These slabs which are directly supported by columns are called
Flat Slabs.COMPONENTS OF FLAT SLAB• Drops• Column Head • Column Strip• Middle Strip
SEISMIC ANALYSIS
• Earthquake is unpredictable and massive damage causing phenomena of nature.
• Deals with dynamic forces.
• Large forces hence can not design structure economically.
• Various BIS guidelines are available for analyze, design and detailing.
• Response spectrum method is used for analysis.
Building Configuration 1. It is one of the most important parameter for Earthquake Resistant structure.
Because a great deal of resistance is provided by the basic configuration and structural system of a building. The design of buildings for earthquake loads requires an early and close collaboration between the architect and engineer to arrive at the optimum structural design while still satisfying the functional and aesthetic needs of the client.
2. As per BIS guideline in IS 1893:2002 {Clause 7.1} says “Regular and Irregular Configuration to perform well in an earthquake, a building should possess four main attributes, namely simple and regular configuration, and adequate lateral strength, stiffness and ductility. Buildings having simple regular geometry and uniformly distributed mass and stiffness in plan as well as in elevation, suffer much less damage than buildings with irregular configurations”.
3. In IS 4326:1993 {Clause 4.4.1} it is mentioned that “The building should have a simple rectangular plan and be symmetrical both with respect to mass and rigidity so that the center of mass and rigidity of the building coincide with each other.” But the limiting “Plan aspect ratio” and “Slenderness ratio” for the regular structure is not prescribed.
4. Due to inadequate space available at important location of city, high land rates and for economical utilization of space architects and engineers are planning and constructing such buildings which are having larger aspect ratio and higher slenderness ratio. The buildings, especially of
institutional or commercial use are having lager plan aspect ratio and slenderness ratio.
With this background it is found essential to study the behaviour of buildings having large aspect ratio and slenderness ratio under seismic condition to predict maximum losses would occur and control measures to be taken to overcome this problem. This is the primary motivation underlying the present study
LITERATURE SURVEY1. Rucha S. Banginwar and M. R. Vyawahare, (2012) “Effect of Plans Configurations on the Seismic Behaviour of the Structure By Response Spectrum Method”The study is carried on the effect of different geometrical configurations on the behaviour of structure of the already constructed building located in the same area during earthquake by Response spectrum method (RSM) in this paper, more emphasis is made on the plan configurations and is analysed by RSM since the RSM analysis provides key information for real – world application. In the present study the response (i.e. behaviour) of already constructed three buildings of college which are having different building geometric configuration in plan has been studied with the help of response spectrum method and at the end out of these three buildings, vulnerable building has been detected.The conclusions of this study are briefly described as follows: • The plan configurations of structure have substantial impact on the seismic
response of structure in terms of lateral deformation and storey shear. • Effect of area on Storey shear; it was observed that the storey shear in ‘T’ shape
building was more though the irregularity in the plan configuration was less as compared to ‘V’ shaped building.
• Torsion- Torsion was observed only in ‘V’ shaped building as the level of irregularity is maximum. The building is symmetrical about one axis but the orientation of block is oblique.
• Displacement – Large displacement were observed in the ‘V’ shape building and least displacement were observed in rectangular building. It indicates that building with severe irregularity shows maximum displacement and storey drift.
2. K S Sable (2012), “Comparative Study of Seismic Behaviour of Multi-storey Flat Slab and Conventional Reinforced Concrete Framed Structures”This paper presents a summary of the study, for conventional R.C.C framed structure building and flat slab building for different floor height. The effect of seismic load has been studied for the two types of building by changing overall height of structure. On the basis of the results obtained in this study, following conclusions have been drawn: • The natural time period increases as the height of building ( No. of stories)
increases, irrespective of type of building viz. conventional structure, flat slab structure and flat slab with shear wall. However, the time period is same for flat slab structure and flat slab with shear wall.
• In comparison of the conventional R.C.C. building to flat slab building, the time period is more for conventional building than flat slab building because of monolithic construction.
• For all the structure, base shear increases as the height increases. This increase in base shear is gradual up to 9th storey, thereafter, it increases significantly gives rise to further investigation on the topic.
• Base shear of conventional R.C.C building is less than the flat slab building. • Storey drift in buildings with flat slab construction is considerably more as
compared to conventional R.C.C building. This influences moment which is developed during earthquake. In flat slab construction additional moments are developed. Thus, the columns of such buildings should be designed by considering additional moment caused by the Storey drift.
• A structure with a large degree of indeterminacy is superior to one with less indeterminacy, this is primarily because of more members are monolithically connected to each other and if yielding takes place in any one of them, then a redistribution of forces takes place. As a result, the structure can sustain to take additional load. Additionally, redistribution reduces as the number of member reduces in a selected lateral load resisting system
3. Arun Solomon (2013) “Limitation of irregular structure for seismic response”In this study, non-linear behavior of irregular structures. Because of the limitations of available size and shape of land for construction of buildings some of the structures become highly irregular as too long and too tall. The intension of this study was to identify the limitations of the too long and too tall structures using the software SAP 2000.Author’s aim was to show structure having regular building configuration behaves like irregular structure when it is too long and too tall regular structure by performing non-linear analysis (Pushover analysis).From the investigation on the two types of too long structures the following results are obtained. The aspect ratio of the building is 1. Type I Building aspect Ratio (85/15) = 5.66. 2. Type II Building aspect Ratio (145/25) = 5.8 Author has concluded that • The too long structures does not meet the performance limit if one of the plan
dimension of the structure go beyond 5.6 times of another dimension, the building. Hence such types of too long buildings should be avoided while constructing in earthquake prone areas.
• From the study on too tall structure the subsequent result is obtained by author. If thr slenderness ratio of the building is (92/15) = 6.13 then a too tall structure does not meet the performance limit if the structure’s slenderness ratio exceeds 6.13.
STRUCTURAL MODELING
Modeling a structure involves the modeling and assemblage of its various load-carrying elements. The model must ideally represent the mass distribution, strength, stiffness and deformability. Modeling and analysis is done with the help of ETABS 15 software. All 25 structures are separately modeled and analyzed by RSM. Template available for flat slab with drop are used to create models in ETABS software, proper material properties and joint restrains are assigned and column are assigned fixed support at base. Slabs and drops are assigned as Diaphragms which resist in plane deflection. Following table represents all 25 models classified in different groups and named accordingly.
Sr.No Model Group Model Aspect
Ratio Length
(m) Width(m)
Column Spacing
(m)
No. Of Storey
Storey Height
(m)
Slenderness Ratio
(L:B) L B X Z 3.60 (H:B)1
M1
M11
1 30 30 6 6
3 14.40 0.482 M12 5 21.60 0.723 M13 7 28.80 0.964 M14 9 36.00 1.25 M15 11 43.20 1.446
M2
M21
2 41 22 5.85 5.5
3 14.40 0.697 M22 5 21.60 1.038 M23 7 28.80 1.379 M24 9 36.00 1.71
10 M25 11 43.20 2.0611
M3
M31
3 50 18 5 6
3 14.40 0.8512 M32 5 21.60 1.2713 M33 7 28.80 1.6914 M34 9 36.00 2.1215 M35 11 43.20 2.5416
M4
M41
4 60 15 6 5
3 14.40 0.9617 M42 5 21.60 1.4418 M43 7 28.80 1.9219 M44 9 36.00 2.420 M45 11 43.20 2.8821
M5
M51
5 75 12 6.25 6
3 14.40 1.1122 M52 5 21.60 1.6623 M53 7 28.80 2.2224 M54 9 36.00 2.7725 M55 11 43.20 3.32
Sr.
No.Design Parameter Value
1 Unit weight of concrete 25 kN/m3
2 Characteristic strength of concrete 30 MPa
3 Characteristic strength of steel 415 MPa
4 Modulus of elasticity of steel 2 x 105 MPa
5 Plan area 900 square meters
6 Slab thickness 200 mm
7 Drop thickness 300 mm
8 Depth of foundation 3.5m
9 Floor height 3.6m
MATERIAL PROPERTIES AND GEOMETRIC PARAMETERS
Sr.No. Design Parameter Value
1 Earthquake Load As Per IS 1893 (Part 1)-2002
2 Type Of Foundation Isolated Column Footing
3 Depth Of Foundation 3.5m
4 Type Of Soil Type II, Medium As Per IS 1893:2002
5 Bearing Capacity Of Soil 200 kN/m2
6 Seismic Zone IV
7 Zone factor (Z) 0.24
8 Response reduction factor (R) 5
9 Importance Factor 1
10 Percentage Damping 5%
11 Type Of Frame Special Moment Resisting Frame
SEISMIC DESIGN DATA
LOAD CONSIDERED FOR ANALYSIS OF BUILDING
Sr.No. Load Type Value
1 Self-weight of Slab and ColumnAs per Dimension and Unit
weight of concrete
2 Dead load of structural components As per IS 875 Part-1
3 Live Load As per IS 875 Part -2
4 Live load : on Roof and Typical floor 4.0 kN/m2
5 Floor Finish 2.0 kN/m2
CROSS SECTIONAL DIMENSION FOR COLUMN
Sr. No. Type of Structure Column sizes
1 G+ 3 (5 storey structure) 450 mm X 450 mm
2 G+ 5 (7 Storey structure) 450 mm X 450 mm
3 G+ 7 (9 Storey structure) 450 mm X 450 mm
4 G+ 9 (11 Storey structure) 600 mm X 600 mm
5 G+ 11 (13 Storey structure) 600 mm X 600 mm
BASE SHEAR (VB)
Design codes represent the earthquake-induced inertia forces as the net effect of such
random shaking in the form of design equivalent static lateral force.
Base Shear is total design lateral force at the base of structure. So, base shear is nothing but
the maximum expected lateral force that will occur due to seismic ground motion at the
base of a structure.
MAXIMUM STOREY DRIFT
Drift is the lateral movement of a building under the influence of earthquake induced
vibrations. Storey drift is the lateral displacement of one level relative to the level above or
below. It can also be defined as the drift of one level of a multistorey building relative to
the level below. It is difference between lateral displacements of adjacent storey.
NATURAL PERIOD
Natural Period (Tn) of a building is the time taken by it to undergo one complete cycle of
oscillation. It is an inherent property of a building controlled by its mass m and stiffness k.
Its units are seconds (s). Thus, buildings that are heavy (with larger mass m) and flexible
(with smaller stiffness k) have larger natural period than light and stiff buildings.
NATURAL FREQUENCY
The reciprocal (1/Tn) of natural period of a building is called the Natural Frequency fn; its
unit is Hertz (Hz). The building offers least resistance when shaken at its natural frequency
(or natural period).
RESULT AND DISCUSSIONPARAMETER FOR COMPARATIVE STUDY
Following parameters are considered for comparative study of analysis results of all 25 models.• Base shear• Storey drift• Storey stiffness• Maximum storey displacement • Natural time period Results obtained from software analysis of all 25 models were filtered and then arranged to compare it with respective values of other models. For better understanding of results graphs are plotted.
RESULTS FOR MODEL M11SN STOREY Shear X Drift X Stiffness
XShear Y Drift Y Stiffness Y Displacement
XDisplacement
YkN Mm kN/m kN Mm kN/m mm mm
1 2 3 4 5 6 7 8 91 STOREY5 1029.721 3.8 274140.2 1029.721 3.8 274140.2 28.7 28.7
2 STOREY4 1595.299 5.8 274828.4 1595.299 5.8 274828.4 25.6 25.6
3 STOREY3 1962.43 7.3 270623 1962.43 7.3 270623 20.4 20.4
4 STOREY2 2311.962 8.1 286026.4 2311.962 8.1 286026.4 13.5 13.5
5 STOREY1 2583.759 5.4 475483.2 2583.759 5.4 475483.2 5.4 5.4
6 BASE 0 0
RESULTS FOR MODEL M21SN STOREY Shear X Drift X Stiffness
XShear Y Drift Y Stiffness Y Displacement
XDisplacement
YkN Mm kN/m kN mm kN/m mm mm
1 2 3 4 5 6 7 8 91 STOREY5
1031.403 3.4 302630.2 1022.38 3.3 312406.5 26.5 25.5
2 STOREY41618.888 5.3 303751.8 1614.999 5.1 315708.7 23.7 22.8
3 STOREY32009.261 6.7 299344.3 2010.987 6.4 312635.9 18.9 18.2
4 STOREY22367.846 7.5 316271.8 2370.341 7.2 330083.3 12.4 12
5 STOREY12635.777 5 525762.1 2635.779 4.9 541599.8 5 4.9
6 BASE 0 0
Results for model M31SN STOREY Shear X Drift X Stiffness
XShear Y Drift Y Stiffness Y Displacement
XDisplacement
YkN Mm kN/m kN mm kN/m mm mm
1 2 3 4 5 6 7 8 91 STOREY5
1035.748 3.2 320199.7 1048.994 3.5 302434.6 25.6 26.7
2 STOREY41640.546 5.1 321193.3 1646.386 5.4 306086.5 22.9 23.8
3 STOREY32045.088 6.5 316728.9 2041.164 6.7 302978.8 18.3 19
4 STOREY22410.73 7.2 333205.4 2406.145 7.5 320973.6 12.1 12.5
5 STOREY12680.553 4.9 545329.7 2680.553 5 532491.7 4.9 5
6 BASE 0 0
Results for model M41SN STOREY Shear X Drift X Stiffness
XShear Y Drift Y Stiffness Y Displacement
XDisplacement
YkN Mm kN/m kN mm kN/m mm mm
1 2 3 4 5 6 7 8 91 STOREY5
1061.909 3.6 295525.2 1033.535 3.2 325995.6 27.7 24.7
2 STOREY41656.292 5.6 295899.6 1643.993 4.9 332708.6 24.8 22
3 STOREY32046.92 7 290892.1 2052.612 6.2 331574.2 19.7 17.6
4 STOREY22412.306 7.8 307906.7 2420.332 6.9 350073.1 13 11.6
5 STOREY12690.351 5.2 517051.7 2690.352 4.8 565040.2 5.2 4.8
6 BASE 0 0
Results for model M51SN STOREY Shear X Drift X Stiffness
XShear Y Drift Y Stiffness Y Displacement
XDisplacement
YkN Mm kN/m kN mm kN/m mm mm
1 2 3 4 5 6 7 8 91 STOREY5 1076.337 4.2 253617.5 1053.084 3.9 272967.9 31.6 29.1
2 STOREY4 1638.553 6.5 252628.1 1628.855 5.9 275226.1 28.2 26
3 STOREY3 1993.066 8.1 247292 1999.221 7.4 271845.6 22.5 20.7
4 STOREY22347.955 8.9 262573.4 2355.789 8.2 287630.2 14.8 13.7
5 STOREY1 2636.396 5.9 447252.8 2636.39 5.5 476117.9 5.9 5.5
6 BASE 0 0
SN Mode Period Frequency
Period Frequency
Period Frequency Period Frequency
Period Frequency
sec cyc/sec sec cyc/sec sec cyc/sec sec cyc/sec sec cyc/sec M11 M21 M31 M41 M51
1 1 1.561 0.641 1.488 0.672 1.492 0.67 1.523 0.657 1.523 0.6572 2 1.551 0.645 1.459 0.685 1.462 0.684 1.434 0.697 1.434 0.6973 3 1.438 0.695 1.374 0.728 1.42 0.704 1.384 0.722 1.384 0.7224 4 0.495 2.02 0.473 2.116 0.474 2.111 0.482 2.073 0.482 2.0735 5 0.493 2.03 0.465 2.152 0.466 2.146 0.458 2.183 0.458 2.1836 6 0.453 2.209 0.434 2.303 0.449 2.229 0.44 2.275 0.44 2.2757 7 0.276 3.622 0.264 3.788 0.265 3.779 0.269 3.724 0.269 3.7248 8 0.275 3.634 0.261 3.837 0.262 3.816 0.258 3.87 0.258 3.879 9 0.249 4.011 0.241 4.158 0.248 4.027 0.245 4.077 0.245 4.077
10 10 0.187 5.335 0.179 5.572 0.18 5.547 0.182 5.503 0.182 5.50311 11 0.187 5.344 0.178 5.607 0.179 5.574 0.178 5.607 0.178 5.60712 12 0.167 5.999 0.162 6.175 0.167 5.98 0.167 5.989 0.167 5.989
Variation in period and frequency
RESULTS FOR MAXIMUM DIFLECTION
0 5 10 15 20 25 30 350
1
2
3
4
5
6
Displacement in X
m11m21m31m41m51
Displacement in mm
store
y
0 5 10 15 20 25 30 350
1
2
3
4
5
6
0
1
2
3
4
5
0
1
2
3
4
5
0
1
2
3
4
5
0
1
2
3
4
5
0
1
2
3
4
5
Displacement in y
m11m21m31m41m51
Displacement in mm
NO O
F ST
ORY
FOR G+3 STOREY
FOR G+5 STOREY
0 10 20 30 40 50 600
1
2
3
4
5
6
7
8
Displacement in X
m12m22m32m42m52
Displacement in X (mm)
No o
f Sto
ry
0 5 10 15 20 25 30 35 40 45 500
1
2
3
4
5
6
7
8
Displacement in y
m12m22m32m42m52
Displacement in Y (mm)
No o
f Sto
ry
FOR G+7 STOREY
0 10 20 30 40 50 60 700123456789
10
Displacement in X
M13M23M33M43M53
Displacements IN X (mm)
Stor
ey
0 10 20 30 40 50 60 700123456789
10
Displacement in y
M13M23M33M43M53
Displacements Y (mm)
Stor
ey
FOR G+9 STOREY
0 10 20 30 40 50 60 70 800
2
4
6
8
10
12
Displacement in X
M14M24M34M44M54
Displacements mm
Stor
ey
0 10 20 30 40 50 60 700
2
4
6
8
10
12
Displacement in Y
M14M24M34M44M54
Displacements mm
Stor
ey
0 20 40 60 80 100 120 1400
2
4
6
8
10
12
14
Displacements in X
M15M25M35M45M55
Displacements in X mm
stor
ey
0 20 40 60 80 100 120 140 160 180 2000
2
4
6
8
10
12
14
Displacements in Y
M15M25M35M45M55
Displacement in y (mm)
stor
ey
FOR G+11 STOREY
OBSERVATION
From above graphs points observed are as following
• Displacement for aspect ratio L/B = 5 is maximum.
• For first mode displacement in x direction is greater than y direction up to G+9
models.
• Displacement decreases with increase in aspect ratio up to L/B = 3.
RESULTS FOR MAXIMUM STOREY DRIFTFOR G+3 STOREY
0.0005 0.001 0.0015 0.002 0.0025 0.0030123456
Drift in X
m11m21m31m41m51
Drift in x (m)
No
of S
tore
y
0.0005 0.001 0.0015 0.002 0.0025 0.0030123456
Drift in Y
m11m21m31m41m51
Drift in x (m)
No
of S
tore
y
FOR G+3 STOREY
0.0005 0.001 0.0015 0.002 0.0025 0.0030
1
2
3
4
5
6
7
8
Drift in X
m12m22m32m42m52
Drift in m
No o
f Sto
rey
0.0005 0.001 0.0015 0.002 0.0025 0.0030
1
2
3
4
5
6
7
8
Drift in Y
m12m22m32m42m52
Drift in m
No o
f Sto
rey
FOR G+7 STOREY
2 3 4 5 6 7 8 9 10 110123456789
10
Drift X
M13M23M33M43M53
Drift X
Stor
ey
2 3 4 5 6 7 8 9 10 110123456789
10
Drift Y
M13M23M33M43M53
Drift Y
Stor
ey
FOR G+9 STOREY
2 3 4 5 6 7 8 9 100
2
4
6
8
10
12
Drift X
M14M24M34M44M54
Drift X
Stor
y
2 3 4 5 6 7 8 90
2
4
6
8
10
12
Drift Y
M14M24M34M44M54
Drift Y
Stor
y
FOR G+9 STOREY
0 2 4 6 8 10 12 14 160
2
4
6
8
10
12
14
Drift X
M15M25M35M45M55
Drift X
Stor
y
0 5 10 15 20 250
2
4
6
8
10
12
14
Drift Y
M15M25M35M45M55
Drift Y
Stor
y
From above graphs points observed are as following• In case of flat slab structure Storey drift in x direction is more as compared to Storey drift
in y direction for same slenderness ratio.• Maximum value of Storey drift was found out to be at second storey level in case of G+3,
G+5, G+7 structures where as in case of G+9 and G+11 storey structure the maximum Storey drift was found on third storey level
• As per limitation laid by IS 1893 (Part 1) 2002, the maximum drift should not be more than 0.004 times storey height which is 0.0144 m. This drift limit is exceeds in aspect ratio L/B= 5 and slenderness ratio 3.32
OBSERVATION
200000 250000 300000 350000 400000 450000 500000 550000 6000000
1
2
3
4
5
6
stiffness in x direction
M11M21M31M41M51
STIFFNESS IN X
STO
REY
250000 300000 350000 400000 450000 500000 550000 6000000
1
2
3
4
5
6
stiffness in x direction
M11M21M31M41M51
STIFFNESS IN Y
STO
REY
200000 250000 300000 350000 400000 450000 500000 550000 6000000
1
2
3
4
5
6
7
8
stiffness in x direction
m12m22m32m42m52
Stiffness X
Stor
y
2000002500003000003500004000004500005000005500006000000
1
2
3
4
5
6
7
8
Stiffness Y
m12m22m32m42m52
Stiffness YStiffness Y
Stor
y
RESULTS FOR STOREY STIFFNESSFOR G+3 STOREY
FOR G+5 STOREY
FOR G+7 STOREY
200000 250000 300000 350000 400000 450000 500000 5500000123456789
10
Stiffness X
M13M23M33M43M53
Stiffness X
Stor
y
200000 250000 300000 350000 400000 450000 500000 550000 6000000123456789
10
Stiffness Y
M13M23M33M43M53
Stiffness Y
Stor
y
FOR G+9 STOREY
200000
300000
400000
500000
600000
700000
800000
900000
1000000
11000000
2
4
6
8
10
12
G+9
M14M24M34M44M54
Stiffness X
Stor
y
200000
300000
400000
500000
600000
700000
800000
900000
1000000
11000000
2
4
6
8
10
12
G+9
M14M24M34M44M54
Stiffness Y
Stor
y
FOR G+11 STOREY
100000
200000
300000
400000
500000
600000
700000
800000
900000
10000000
2
4
6
8
10
12
14
Story Stiffness X
M15M25M35M45M55
Story Stiffness
Stor
y
0 200000 400000 600000 800000 1000000 12000000
2
4
6
8
10
12
14
Story Stiffness Y
M15M25M35M45M55
Story Stiffness
Stor
y
OBSERVATION
From above graphs points observed are as following• Storey stiffness increases with size of column• For same size of column stiffness increases with no of column in respective direction
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.80
2
4
6
8
10
12
14
G+3
M11M21M31M41M51
Period
Mod
e
0 0.5 1 1.5 2 2.50
2
4
6
8
10
12
14
G+3
m12m22m32m42m52
Period
Mod
e
0 0.5 1 1.5 2 2.5 3 3.50
2
4
6
8
10
12
14
G+7
M13M23M33M43M53
Period
Mod
e
0 0.5 1 1.5 2 2.5 3 3.50
2
4
6
8
10
12
14
G+9
m14m24m34m44m54
Period sec
Mod
e
0 1 2 3 4 5 60
2
4
6
8
10
12
14
G+11
M15M25M35M45M55
Period
Mod
e
OBSERVATION
From above graphs points observed are as following• For first 3 modes value of time period is maximum.• With increase in no of storey time period increases.• Sudden increase in time period for model M55 is noted.
RESULTS BASE SHEAR
• From tables of results the value of the base shear is found out to be increasing with
increase in slenderness ratio & aspect ratio.
• The percentage increase in base shear for aspect ratio 4 & 5 is more as compared to other
ratio, as the column size increases seismic weight increases.
• In case of same number of storey base shear does not increases linearly with linear
increase in aspect ratio. STOREY DRIFT
• Building with aspect ratio 1 have same drift in both the direction
• Increase in slenderness ratio Results in increasing maximum storey drift
• In case of flat slab structure Storey drift in x direction is more as compared to Storey drift
in y direction for same slenderness ratio
• Maximum value of Storey drift was found out to be at second storey level in case of G+3,
G+5, G+7 structures where as in case of G+9 and G+11 storey structure the maximum
Storey drift was found on third storey level .
• Value of maximum storey drift is exceeded in model M55 is 20.1 mm which is more than
limiting value 14.4 mm for storey height 3600 mm.
• Increasing lateral stiffness of structure by increasing size of column results in increasing
storey level of maximum storey drift.
• As per limitation laid by IS 1893 (Part 1) 2002, the maximum drift should not be more
than 0.004 times storey height which is 0.0144 m. This drift limit is exceeds in aspect ratio
L/B= 5 and slenderness ratio 3.32.
STIFFNESS
• With increase in lateral storey Stiffness fundamental time period decreases.
• Increase in lateral storey stiffness Results in decreases Storey drift and maximum storey
displacement.
• In same aspect ratio size of column are not fixed so stiffness changes with change in
column size. Results in change of behaviour of structure for lateral loading.
• Increasing lateral stiffness of structure by increasing size of column results in increasing
storey level of maximum storey drift.
NATURAL TIME PERIOD
• The value of time period increases with increase in slenderness ratio
• The numerical value for modal period and frequency shows that value of period
increases linearly with linear increase in slenderness ratio but not in the case of change
in aspect ratio.
• First three modes of displacement governs the response of structure for lateral loads. In
first three modes natural time period is more frequency is less hence for lower values
of excitation gives maximum lateral deflection.
Based on the work done in this dissertation following conclusions are drawn:
Limiting plan aspect ratio is L/B =5 and slenderness ratio is 3.32.
Structure with aspect ratio more than 3 has higher magnitude of design base shear
along both X and Y direction though their seismic weight is lesser than structure
with aspect ratio 3.
Curtailment in column size reduces the seismic weight of structure, hence less
seismic weigh and less base shear.
Buildings having square plan shape i.e. aspect ratio 1, is safest because:• Lower and equal amount of base shear is acting along both X and Y
direction.• Fundamental time period for square plan structure is comparatively lesser
than rectangular plan building. Hence it will perform well during earthquake with higher frequencies.
• Lateral deformation (i.e. lateral displacement and storey drift) for all the storey level is same along both X and Y direction.
CONCLUSION
FUTURE SCOPE • Present study is strictly restricted to effect of seismic forces on flat slab structure
without any lateral force resisting infill elements. To acquire in-depth knowledge about
structural behaviour we need to study structure with infill element which resist the
lateral displacement of structure or which does not resist the movement.
• Types of damage occur and points of critical damage are to be studied to save
unrepairable damage to lives of animals and human kind and other economic, strategic
losses.
• Behaviour of flat slab structure with different structural bracing elements under lateral
loads are to be found out.
• Prof. K S Sable, Er. V A Ghodechor, Prof. S B Kandekar, “Comparative Study of Seismic Behavior of Multistory Flat Slab and Conventional Reinforced Concrete Framed Structures”, International Journal of Computer Technology and Electronics Engineering (IJCTEE) Volume 2, Issue 3, June 2012
• Rucha.S.Banginwar, M.R.Vyawahare, P.O.Modani, “Effect of Plan Configurations on the Seismic Behavior of the structure By Response Spectrum Method” ,International Journal of Engineering Research and Applications(IJERA),Vol2,May-June2012
• Arun Solomon A, Hemalatha G, “Limitation of irregular structure for seismic response”, International Journal Of Civil And Structural Engineering Volume 3, No 3, 2013
• Mohit Sharma and Dr. Savita Maru(2014), “Dynamic Analysis of Multistoried Regular Building” , Journal of Mechanical and Civil Engineering (IOSR-JMCE), Volume 11, Issue 1 Ver. II.
• Mayuri D. Bhagwat and Dr.P.S.Patil(2014), “Comparative study of performance of rcc multistory building for Koyna and Bhuj earthquakes”, International Journal of Advanced Technology in Engineering and Science Volume No.02, Issue No. 07.
• Dr. V.L. Shah and Late Dr. S.R. Karve, “Illustrated design of reinforced concrete buildings”, Sixth edition, Structures publications, 36 Parvati, Pune-411009.
REFERENCES
• Paz. Mario. “Structural Dynamics" theory and Computation, CBS, Publishers and Distributors Dayaganj, New Delhi.
• C. V. R. Murty, Rupen Goswami, A. R. Vijayanarayanan and Vipul V. Mehta, “Some Concepts in Earthquake Behaviour of Buildings”, Gujarat State Disaster Management Authority Government of Gujarat.
• BIS-1893, Criteria for Earthquake resistant design of structures-Part-1, General Provisions and Buildings, Bureau of Indian Standards, New Delhi -2002.
• I.S-13920."Ductile detailing of reinforced structures subjected to seismic force" code of practice Bureau of Indian Standards, New Delhi -1993.
• I.S. 456-2000, Indian Standard Code of Practice for Plain and Reinforced Concrete, Bureau of Indian Standard, New Delhi.
• IS-875-1987.".Indian standard code of practice for structural safety loadings standards Part-1, 2" Bureau of Indian Standards, New Delhi.
• I.S 4326 – 1993, Earthquake Resistant Design And Construction Of Buildings - Code Of Practice, Bureau of Indian Standard, New Delhi
• SP-16-1980- Design Aids for Reinforced concrete to IS-456-1978-Bureau of Indian Standards, New Delhi.
• SP 22 : 1982 Explanatory Handbook On Codes For Earthquake Engineering, Bureau Of Indian Standard, New Delhi
• www.nicee.org, The National Information Centre of Earthquake Engineering (NICEE - established 1999)
THANK YOU