COMPARATIVE STUDY OF DIF FERENT FRAMING SYSTEM FOR MULTI … · limit states, lateral stiffness is...
Transcript of COMPARATIVE STUDY OF DIF FERENT FRAMING SYSTEM FOR MULTI … · limit states, lateral stiffness is...
COMPARATIVE STUDY OF DIFFERENT FRAMING SYSTEM FOR MULTI
STOREY COMPOSITE BUILDING WITH IRREGULAR GEOMETRY
Anitha K1, Rajesh S
2
Assistant Professor1,2
,Department of Civil Engineering 1,2
BIST, BIHER, Bharath University
ABSTRACT
When a multi storey building is subjected to lateral or torsional deflections under the
action of fluctuating wind loads, the resulting oscillatory movement can induce a wide range of
responses in the building’s occupants from mild discomfort. To satisfy strength and serviceability
limit states, lateral stiffness is a major consideration in the design of multi storey buildings. The
simple parameter that is used to estimate the lateral stiffness of a building is the drift index.
Different structural forms of tall buildings can be used to improve the lateral stiffness and to
reduce the drift index. This study is conducted for braced frame structures. Bracing is a highly
efficient and economical method of resisting lateral forces in a frame structure because the
diagonals work in axial stress and therefore minimum member sizes are required in providing the
stiffness and strength against horizontal shear.In this study, ordinary moment resisting steel frame
and three different types of bracing systems have been investigated for the use in multi storey
composite building in order to provide lateral stiffness and the performance of the building has
been evaluated in terms of lateral storey displacement, storey drift, and steel weight as well as
axial force and bending moment in columns at different storey level. The reduction in lateral
displacement has been found out for different types of bracing system in comparison to building
with no bracing. From the present study, it has been found that the concentric (X) bracing reduces
more lateral displacement and thus significantly contributes to greater structural stiffness to the
structure and lesser structural steel weight has been exposed.For the application of analysis a
commercial (Office) building of (G+10) is considered as a case study. The plan of the building is
32.5 m x 52 m. The height of the building is (GFL+10) (4 + (9 x 3) + (2.5-staircase head room)) =
33.5m and below ground 3 m. The analysis of the structure is done using ETABS software. Loads
such as imposed load, seismic load, and wind load were calculated and applied as per Indian
codes. The location of the building is taken as Chennai. The zone factor is III and the basic wind
speed is 50 m/s. The scale factor of the building is 1.4 and 0.78 along X and Y directions
respectively.
1.1 INTRODUCTION
To accommodate the continuous urban sprawl, there is a need to construct multi storey
and tall buildings. A multi storey and tall building may be defined as a building whose design is
governed by the lateral forces induced due to wind and earthquake. The design takes care of the
requirements of strength, rigidity and stability. The structural system designed to carry vertical
load may not have the capacity to resist lateral load or even if it has, the design for lateral load
will increase the structural cost substantially with increase in number of storey.A structural steel
framed building is a good choice for many reasons[1-6]. Steel is a very strong material with a
high strength to weight ratio, and as it is shop fabricated, it lends itself to maintain tight
tolerances. Steel framed buildings also give Designers and Engineers flexibility when it comes to
International Journal of Pure and Applied MathematicsVolume 119 No. 12 2018, 8439-8458ISSN: 1314-3395 (on-line version)url: http://www.ijpam.euSpecial Issue ijpam.eu
8439
design and layout. It also giving the owner a range of options depending on their needs. Steel
beams and columns are the main components in almost all structural steel frames, and are used to
carry and distribute loads for the entire building. Steel decking is used for floors, usually in
conjunction with a concrete topping. Such a system is known as composite decking. Steel decking
is also used for the roof deck. There are different types of connections, either bolted or welded,
and various types of miscellaneous steel plates, bracings, angles and channels that will complete
the system[7-11].
1.2 ADVANTAGES OF BRACINGS
Steel braced frame is one of the structural systems used to resist lateral loads in multistoried
buildings. Steel bracing is economical, easy to erect, occupies less space and has flexibility to
design for meeting the required strength and stiffness. Braced frames are often used to resist
lateral loads but braces can interfere with architectural features. The steel braces are usually
placed in vertically aligned spans. This system allows obtaining a great increase of stiffness with
a minimal added weight[12-16], and so it is very effective for existing structure for which the
poor lateral stiffness is the main problem. Bracings are usually provided to increase stiffness and
stability of the structure under lateral loading and also to reduce lateral displacement
significantly.
1.3 OBJECTIVE AND SCOPE
To evaluate the optimized use of steel section properties with higher loading in multi storey
building. To control the lateral displacement with economical bracing system to a (G+10)
building, located in seismic zone III. To create 3D building model with moment frame system as
well as shear frame system and also to study the influence of different bracing system.
The parameters like storey drift, storey shear, moment and displacement are done by using
standard package ETABS. The moment frame system and the shear frame system with different
bracing results. Cost effective frame systems for multi storey composite buildings[17-24].
1.4 STRUCTURAL MODELLING
A model must represent the 3D characteristics of building, including mass distribution, strength,
stiffness and deformability. This study is based on frames which are plane and orthogonal with
storey heights and bay widths. Beams and columns are modeled by 3D frame elements. To obtain
the bending moments and forces at the beam and column faces beam-column joints are modeled
by giving end offsets to the frame elements. The beam-column joints are as considered to be rigid
for ordinary moment resisting frames[25-33]. The column end at foundation assumed as fixed for
all the models in this study. By assigning ‘diaphragm’ action at each floor level, the structural
effect of slabs due to their in-plane stiffness is taken into account. The mass/weight contribution
of slab is modelled separately on the supporting beams. Modelling of structural elements for this
study is given in Table 1.1
International Journal of Pure and Applied Mathematics Special Issue
8440
Table 1.1 Modelling of structural elements
Element Characteristics
Beams I-sections
Columns I-sections
Joints (Braced) Pinned
Joints (Moment resisting frames) Rigid
Deck slab Diaphragm Action (Ignoring out of
plane action)
Braces Pipe-section (Moment release at
start and end of braces)
1.5ANALYSIS OF THE BUILDING
1.5.1GENERAL
The analysis is performed by using ETABS software, which is a three dimensional
software used for analysis and design of buildings. It uses finite element method for analysis. This
chapter describes the various steps involved in the present study, (i) calculation of loads as per
design code procedure, (ii) analyzing the selected frames as per the design code procedure for
linear property are[34-40],
Loads and load combinations considered for the analysis
Linear static analysis
1.5.2 LOAD CALCULATION
The major loads considered for the analysis are wall loads, external gladding, loads due
to finishes, false ceiling loads, live loads and Seismic loads. The unit weight of materials is taken
from IS 875 part 1. The live loads are taken from IS 875 part 2. The seismic loads are calculated
based on IS 1893. The response spectrum method is used in dynamic analysis. The life of the
building is taken as 50 years.
The vertical design loads of the two dimensional analytical models are calculated as
three dimensional frames. The weight of the slab and the infill was distributed as triangular and
trapezoidal load to the surrounding beams as per IS456-2000, by considering the thickness of the
slab and the infill as 0.2 m and 0.23 m respectively. The sum of the vertical loads from the slabs are
calculated as a uniformly distributed load of 36 kN/m (except the beam self-weights) for the typical
storey beams and uniformly distributed load of 33.75 kN/m for the roof slab beams (except beam
self-weights). These mentioned loads cover the dead and reduced live loads together[41-45].
Beam self-weights and column self-weights are assigned by providing self-weight
multiplier as 1 in ETABS. Wind load and Seismic load consideration and the parameters, which are
used in the analysis of the models, are discussed in the following sections.
International Journal of Pure and Applied Mathematics Special Issue
8441
Table 1.2 Loads considered for designing the frames
Sl.No. Load Type Density/Unit
Weight
Value
UDL over the
beams
(Roof Slab)
kN/m
UDL over the
beams
(Typical Floors)
kN/m
Dead Load
1 Weight of Slab 25 kN/m3 10 10
2 Infill/Parapet weight 20 kN/m3 7.5 15
3 Floor Finish 1 kN/m2 - 2
4 Water Proofing 2 kN/m2 4 -
5 Roof Finish 1 kN/m2 2 -
Live Load
6 Floor Load 4 kN/m2 - 8
7 Roof Load 1.5 kN/m2 3.0
Note: Self weight of the beams and columns are taken as per the dimensions
1.5.3 Wall Load
The ceiling height of the typical floor is 3 m. The unit weight of brick masonry is taken
from IS 875:1987- (Part 1). And gladding load calculated based on material property.
Brick Wall load
Typical floors: Weight of 230 mm thick Wall + 20 mm thick plastering
= 0.25 x 20 x 3.0 = 15 kN/m
Parapet walls: Weight of 230 mm thick. Wall + 20 mm thick plastering
= 0.25 x 20 x 1.05 = 7.5 kN/m
Gladding load
Typical floor: glass and including fitting
= 9.5 kN/m
1.5.4 Live Load
The live loads are taken from IS 875-(Part 2) Table 1. The office building comes under
institutional building category. This building occupancy consists of office rooms, toilets and terrace
floors.
Office room = 4.0 kN/m2
Toilet = 2.0 kN/m2
Terrace = 1.5 kN/m2
International Journal of Pure and Applied Mathematics Special Issue
8442
1.5.5 Imposed Load
The imposed loads include floor finishes, false ceilings, and any walls resting on slab.
The floor finishes include weight of the tiles and screed. The false ceilings are hanged in the roof
slabs. The location of partition walls are liable to change so the wall loads on slabs are uniformly
taken as 1 kN/m2.
1.5.6 Seismic Load
Chennai comes under seismic zone III. The zone factor is 0.16 from IS 1893-2002,
Table 2. The response reduction factor R is 5 for the building with Steel OMRF and 4 for
concentric braced Model building[46-50]. This value is taken from Table 7 of IS: 1893-2002. The
importance factor from Table 6 of IS 1893-2002 for the office building is 1.5.
Height of the building, h = 36.50 m
Width of the building, dx = 52.00 m
Width of the building, dy = 28.00 m
Fundamental natural period (without infill) = 0.09h d 0.5
Where,
h - Height of the building
d - Base dimension of the building a the plinth level
= 0.09 x 36.5 x 520.5
Along X direction, T = 0.456 sec
= 0.09 x 36.5 x 280.5
Along Y direction, T = 0.6208 sec
By using ETABS earthquake lateral loads automatically generated as per
IS 1893 (Part 1)-2002 and using the above information refer Table 1.3
Table 1.3 Seismic load
Level Elevation
OMRF SDBF CBF KBF
X&Y
Direction
X&Y
Direction
X&Y
Direction
X&Y
Direction
m kN kN kN kN
Total - Vb 1441.582 1439.216 1367.366 1397.366
Stair Roof Level 36.5 90.3201 89.8066 89.8066 89.8066
Tenth floor level 34.0 334.3275 321.6934 321.6934 321.6934
Night floor Level 31.0 289.0236 271.6673 271.6673 271.6673
Eight Floor Level 28.0 228.3643 89.8066 227.9716 214.6507
Seventh floor
level 25.0 174.8414 321.6934 174.5408 164.3419
Sixth floor Level 22.0 128.4549 271.6673 128.234 120.741
Fifth Floor Level 19.0 89.2048 89.8066 89.0514 83.8479
International Journal of Pure and Applied Mathematics Special Issue
8443
Table 1.3 (Continued)
Level Elevation
OMRF SDBF CBF KBF
X&Y
Direction
X&Y
Direction
X&Y
Direction
X&Y
Direction
m kN kN kN kN
Fourth Floor
Level 16.0 57.0911 321.6934 56.9929 53.6627
Third Floor level 13.0 32.1137 271.6673 32.0585 30.1853
Second Floor
Level 10.0 14.2728 89.8066 14.2483 13.4157
First Floor Level 7.0 3.5682 321.6934 3.562 3.3539
Ground Level 3.0 0 271.6673 0 0
1.5.6 Wind Load
The loads are calculated as per Indian code (IS875-1987, Part 3). As the location of
building is considered in Chennai. The following parameters are taken from IS875-1987 (Part 3).
Basic Wind Speed (Vb) = 50 m/s
Probability Factor, k1 = 1.0 (IS875-1987-Table 1)
Exposure category = 2
Building classification = C
Terrain, height and Structure = 1.05 (IS875-1987-Table 2)
Size Factor, k2
Topography Factor, k3 = 1.0 (Cl:5.3.3)
Design Wind Speed, Vz = Vb x k1 x k2 x k3 (Cl:5.3) (4.2)
= 50 x 1.0 x 1.05 x 1.0
Design Wind Speed, Vz = 52.5 m/s
Wind Load on Individual Members, F = (Cpe-Cpi) x A x pd (4.3)
Where,
Cpi - Internal Pressure Coefficient
Cpe - External pressure coefficient
A - Influence width for column of selected building model
pd - Design Wind Pressure
Design Wind Pressure (pd) = 0.6Vz2 (4.4)
Internal Pressure Coefficient, (+Cpi) = +/- 0.5 for 5 to 20 % opening as per Cl:6.2.3.2 in
IS875-1987 Part 3. By considering the following parameters (h/w and l/w) the external pressure
coefficient (Cpe) values are taken from IS875-1987 Part 3, Table 4.
Height of the building above GL (h) = 33.5 m
Lesser horizontal dimension of the building (w) = 32.5 m
Greater horizontal dimension of the building (l) = 52.0 m
International Journal of Pure and Applied Mathematics Special Issue
8444
h/w = 1.03 (1/2<h/w<3/2 - IS875-1987-Table 4)
l/w = 1.60 (3/2 < l/w< 4 - IS875-1987-Table 4)
The external pressure coefficient (Cpe) values are taken from Table 4 in IS875-1987
Part 3 is given in Table 1.4
Table 1.4 External pressure coefficient (Cpe) values
Direction A B C D
+X 0.7 -0.3 -0.7 -0.7
-Y -0.5 -0.5 0.7 -0.1
-X -0.3 0.7 -0.7 -0.7
+Y -0.5 -0.5 -0.7 0.7
Here positive(+) and negative(-) denotes the wind ward and the lee ward direction for
building model. To calculate External pressure coefficient (Cpe) values the wind direction for
selected building was assumed as shown in Figure 4.1.
Figure 1.5 Wind direction assumption
A typical load calculation for column in X direction along Grid A is in following
sections. The typical calculated wind load (F) on individual column members for +X direction of
the selected building model are given in Table 1.6 Similarly -X,+Y and -Y direction wind loads
were calculated.
A
0
B 90
C
180
B 90
International Journal of Pure and Applied Mathematics Special Issue
8445
Table 1.6 Wind loads WL(+X) on selected frame system
Along
Grid Col ID Cpe-Cpi Cpe-(-Cpi) Infl. Width
Force kN/m
+Cpi -Cpi
FACE-A
2-A' 0.2 1.2 2.250 0.74 4.47
1-A 0.2 1.2 4.000 1.32 7.95
1-B 0.2 1.2 8.000 2.65 15.89
1-C 0.2 1.2 7.000 2.32 13.90
1-D 0.2 1.2 6.000 1.99 11.92
1-E 0.2 1.2 3.000 0.99 5.96
3-E 0.2 1.2 3.000 0.99 5.96
3-D 0.2 1.2 6.000 1.99 11.92
3-C 0.2 1.2 7.000 2.32 13.90
2-B 0.2 1.2 4.000 1.32 7.95
2-A 0.2 1.2 6.250 2.07 12.41
2-A 0.2 1.2 2.250 0.74 4.47
5-E 0.2 1.2 3.000 0.99 5.96
Table 1.6 (Continued)
Along Grid Col ID Cpe-Cpi Cpe-(-Cpi) Infl. Width Force kN/m
+Cpi -Cpi
FACE-A
5-D 0.2 1.2 6.000 1.99 11.92
5-C 0.2 1.2 7.000 2.32 13.90
5-B 0.2 1.2 4.000 1.32 7.95
7-E 0.2 1.2 3.000 0.99 5.96
7-D 0.2 1.2 3.000 0.99 5.96
FACE-B
3-A' -0.8 0.2 2.250 -2.98 0.74
9-A -0.8 0.2 4.000 -5.30 1.32
9-B -0.8 0.2 8.000 -10.59 2.65
9-B -0.8 0.2 4.000 -5.30 1.32
9-C -0.8 0.2 7.000 -9.27 2.32
9-D -0.8 0.2 6.000 -7.95 1.99
9-E -0.8 0.2 3.000 -3.97 0.99
3-A -0.8 0.2 2.250 -2.98 0.74
8-D -0.8 0.2 3.000 -3.97 0.99
8-E -0.8 0.2 3.000 -3.97 0.99
FACE-C
1-E -1.2 -0.2 3.000 -5.96 -0.99
2-E -1.2 -0.2 6.000 -11.92 -1.99
3-E -1.2 -0.2 6.000 -11.92 -1.99
4-E -1.2 -0.2 6.000 -11.92 -1.99
5-E -1.2 -0.2 6.000 -11.92 -1.99
6-E -1.2 -0.2 6.000 -11.92 -1.99
International Journal of Pure and Applied Mathematics Special Issue
8446
7-E -1.2 -0.2 7.000 -13.90 -2.32
7'-E -1.2 -0.2 4.000 -7.95 -1.32
8-E -1.2 -0.2 5.750 -11.42 -1.90
9-E -1.2 -0.2 4.000 -7.95 -1.32
FACE-D
1-A -1.2 -0.2 3.000 -5.96 -0.99
2-A' -1.2 -0.2 3.000 -5.96 -0.99
3-A' -1.2 -0.2 3.000 -5.96 -0.99
4-A -1.2 -0.2 6.000 -11.92 -1.99
5-A -1.2 -0.2 6.000 -11.92 -1.99
6-A -1.2 -0.2 6.000 -11.92 -1.99
7-A -1.2 -0.2 7.000 -13.90 -2.32
8-A -1.2 -0.2 8.000 -15.89 -2.65
9-A -1.2 -0.2 4.000 -7.95 -1.32
Table 1.6 (Continued)
Along Grid Col ID Cpe-Cpi Cpe-(-Cpi) Infl. Width Force kN/m
+Cpi -Cpi
FACE-D
5-B -1.2 -0.2 3.000 -5.96 -0.99
6-B -1.2 -0.2 6.000 -11.92 -1.99
7-B -1.2 -0.2 7.000 -13.90 -2.32
8-B -1.2 -0.2 8.000 -15.89 -2.65
9-B -1.2 -0.2 4.000 -7.95 -1.32
7-D -1.2 -0.2 4.000 -7.95 -1.32
8-D -1.2 -0.2 4.000 -7.95 -1.32
1.6ANALYSIS OF BUILDING USING ETABS
The analysis of the frames is carried out by conducting Time History Analysis as
suggested by IS1893 (2002) using ETABS software. The entire building is modeled and the various
loads are applied using ETABS software. Partition wall loads are applied in the beams. Live loads
and imposed loads such as finishes and false ceiling loads are applied as imposed loads on the
slabs. The load combination is taken based on IS 456:2000, Table 18. The different type of load
combinations used in the analysis is given below.
Limit State of Serviceability,
1. 1.0 DL + 1.0 LL
2. 1.0 DL + 1.0 EQ/WL (+X and –X)
3. 1.0 DL + 1.0 EQ/WL (+Y and –Y)
4. 1.0 DL + 0.8 IL + 0.8EQ/WL (+X and –X)
5. 1.0 DL + 0.8 IL + 0.8EQ/WL (+Y and –Y)
Limit State of Collapse,
International Journal of Pure and Applied Mathematics Special Issue
8447
1. 1.5 DL + 1.5 LL
2. 1.5 DL + 1.5 EQ/WL (+X and –X)
3. 1.5 DL + 1.5 EQ/WL (+Y and –Y)
4. 1.2 DL + 1.2 LL + 1.2 EQ/WL (+X and –X)
5. 1.2 DL + 1.2 LL + 1.2 EQ/WL (+Y and –Y)
where,
DL - Dead Load
IL - Imposed Load
EQ - Earthquake Load on ±X and ±Y Direction
WL - Wind Load on ±X and ±Y direction
1.7Ordinary Moment Resisting Frame Building
Linear static analysis is carried out and the values of lateral displacement along the
height of the building with Ordinary Moment Resisting Frame (OMRF) is given in Table 1.7 The
structural members considered for this analysis are column size-UB914X419X388, main beam
size-UB914X305X224, secondary beam size-UB457X191X74 and mid landing beam size-
UB406X178X74.
Table 1.7 OMRF building displacement and drift
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Basement 0 0 0 0 0
Ground floor 3.0 5.46 3.25 1.82 1.08
First floor 7.0 18.43 8.50 4.61 2.12
Second floor 10.0 22.34 10.67 7.45 3.56
Third floor 13.0 25.54 12.28 8.51 4.09
Fourth floor 16.0 28.27 13.59 9.42 4.53
Fifth floor 19.0 30.90 14.68 10.30 4.89
Sixth floor 22.0 33.08 15.58 11.03 5.19
Seventh floor 25.0 34.78 16.46 11.59 5.49
Eighth floor 28.0 36.72 17.44 12.24 5.81
Table 1.7 (Continued)
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
International Journal of Pure and Applied Mathematics Special Issue
8448
Ninth floor 31.0 38.08 17.83 12.70 5.95
Tenth floor 34.0 38.76 18.32 12.92 6.10
Stair roof 36.5 39.00 19.01 19.52 9.51
1.8 Single Diagonal Braced Frame Building
Linear static analysis is carried out and the values of lateral displacement along the
height of the building with Single Diagonal Braced Frame (SDBF) is given in Table 1.8 The
structural members considered for analysis of SDBF building model are Column size-
UB610X229X140, Main beam size-UB533X210X92[32-38], Secondary beam size-
UB457X191X74 and Mid landing beam size-UB406X178X74, Steel pipe sections considered for
diagonal bracings-CHHF457X16 and CHHF273X16.
Table 1.8 SDBF building displacement and drift
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Basement 0 0 0 0 0
Ground floor 3.0 4.46 2.85 1.49 0.95
First floor 7.0 8.43 3.50 2.11 0.87
Second floor 10.0 12.34 4.06 4.11 1.35
Third floor 13.0 15.54 4.58 5.18 1.53
Fourth floor 16.0 18.27 5.19 6.09 1.73
Fifth floor 19.0 20.90 7.68 6.97 2.56
Table 1.8 (Continued)
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Sixth floor 22.0 23.08 9.58 7.69 3.19
Seventh floor 25.0 24.78 10.46 8.26 3.49
Eighth floor 28.0 25.72 11.44 8.57 3.81
Ninth floor 31.0 27.08 12.83 9.03 4.28
Tenth floor 34.0 28.76 13.32 9.59 4.44
Stair roof 36.5 30.00 14.01 15.00 7.01
International Journal of Pure and Applied Mathematics Special Issue
8449
1.9 Concentric Braced Frame Building
Linear static analysis is carried out and the values of lateral displacement along the
height of the building with Concentric Braced Frame (CBF) is given in Table 1.9. The structural
members considered for analysis of CBF building model are Column size-UB610X229X140, Main
beam size-UB533X210X92, Secondary beam size-UB457X191X74 and Mid landing beam size-
UB406X178X74, Steel pipe sections considered for diagonal bracings-CHHF168.3X12.5 and
CHHF355.6X16.
Table 1.9 CBF building displacement and drift
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Basement 0 0 0 0 0
Ground floor 3.0 2.46 0.65 0.82 0.22
First floor 7.0 4.43 1.50 1.11 0.37
Second floor 10.0 5.34 2.67 1.78 0.89
Third floor 13.0 7.54 3.27 2.51 1.09
Fourth floor 16.0 9.27 4.59 3.09 1.53
Table 1.9 (Continued)
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Fifth floor 19.0 11.90 5.98 3.97 1.99
Sixth floor 22.0 13.08 6.58 4.36 2.19
Seventh floor 25.0 14.78 7.46 4.93 2.49
Eighth floor 28.0 15.72 7.94 5.24 2.65
Ninth floor 31.0 17.08 9.53 5.70 3.18
Tenth floor 34.0 18.76 10.02 6.25 3.34
Stair roof 36.5 20.00 10.51 10.00 5.26
1.9.2 K-type Braced Frame Building
Linear static analysis is carried out and the values of lateral displacement along the
height of the building with K-type Braced Frame (KBF) is given in Table 2.0 The structural
members considered for analysis of KBF building model are Column size-UB610X229X140, Main
beam size-UB533X210X92, Secondary beam size-UB457X191X74 and Mid landing beam size-
International Journal of Pure and Applied Mathematics Special Issue
8450
UB406X178X74, Steel pipe sections considered for diagonal bracings-CHHF168.3X12.5 and
CHHF355.6X16.
Table 2.0 KBF building displacement and drift
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Basement 0 0 0 0 0
Ground floor 3.0 3.46 1.75 1.15 0.58
First floor 7.0 7.43 2.50 1.86 0.62
Second floor 10.0 10.34 3.36 3.45 1.12
Table 2.0 (Continued)
Level Elevation
Displacement Drift
X-Direction Y- Direction X-Direction Y-
Direction
m mm mm mm mm
Third floor 13.0 12.54 3.93 4.18 1.31
Fourth floor 16.0 14.27 4.89 4.76 1.63
Fifth floor 19.0 16.90 6.83 5.63 2.28
Sixth floor 22.0 18.08 8.08 6.03 2.69
Seventh floor 25.0 20.78 8.96 6.93 2.99
Eighth floor 28.0 24.72 9.69 8.24 3.23
Ninth floor 31.0 25.08 11.18 8.36 3.73
Tenth floor 34.0 26.76 11.67 8.92 3.89
Stair roof 36.5 28.000 12.23 14.00 6.12
2.0COST ANALYSIS OF BUILDING MODELS
A key component of the cost of any building type is the frame. The frame cost increases
as the building become taller. The cost analysis of composite building includes,
The types of steel frames
The design of the steel frames
The quantifying weight of steel frames
The section sizes and availability
Connections and fittings
International Journal of Pure and Applied Mathematics Special Issue
8451
Erection costs of the frames
Fire protection
Other elements-site location, transport, etc.
Breakdown of costs of steel frame for a typical multi storey commercial building is
given in Figure 2.1
Figure 2.1 Breakdown of costs of steel frame for a typical multi storey commercial building
As the raw material and fabrication covers the major percentage of total cost of the
building, this study focuses the steel frames weight. Steel frame weight is calculated by adding the
steel frame elements-Beams, Columns and bracings. Steel frame elements weight is obtained from
ETABS. Steel weight for building models is given in Table 2.0
Table 2.2 Steel frames weight for building models taken for study
Building model Steel weight in Tons
OMRF Building 1630.40
SDBF Building 1400.57
CBF Building 1000.24
KBF Building 1215.37
International Journal of Pure and Applied Mathematics Special Issue
8452
3.0RESULTS AND DISCUSSION
3.1GENERAL
In this project, a G+10-storey steel framed composite building with 3 meters height for
each storey, except ground storey (4m height) and upper roof storey (2.5m height) irregular in both
plan and elevation is modeled. The building models are assumed to be fixed at the base and the
floors acts as rigid diaphragms. The sections of structural elements are I-sections and Pipe sections
and their dimensions are changed for different buildings. The buildings are modeled using ETABS
software. Four different models were studied with different framing system. Models are studied in
zones III comparing lateral displacement, storey drift, steel weight for all models.
3.2STOREY DISPLACEMENT AND DRIFT
The linear analysis of all the frame models that includes OMRF, SDBF, CBF, KBF has
been done by using software ETABS and the results are shown below. The parameters which are to
be studied are lateral displacement in X & Y direction, shown in the Figure 5.1 and 5.2. Storey drift
is the displacement of one level relative to the other level above or below. Storey drift ratio
according to the zones of each model is shown in Figure 5.3 and 5.4 for X and Y Direction.
Figure 6.1 Displacements in X – Direction
Figure 3.2 Displacements in X – Direction for selected building models
International Journal of Pure and Applied Mathematics Special Issue
8453
3.3 CONCLUSION
From the all results obtained in this study, it is possible to draw the following conclusions:
Lateral displacements are within the permissible limit of H/400 for all four framing systems
investigated in this study.
Minimum lateral displacements both in X and Y direction are obtained for Concentric (Double
Diagonal) Bracings in comparison of the situation when same building with Ordinary Moment
Resisting Frames, Single Diagonal Bracings and K-type Bracings.
From this study, the lesser structural steel weight of building is obtained when it is braced with
Concentric (Double Diagonal) Bracings in comparison of the situation when same building with
Ordinary Moment Resisting Frames, Single Diagonal Bracings and K-type Bracings.
Minimum Storey Drift (both in X and Y Direction) is obtained for Concentric (Double
Diagonal) Bracings in comparison of all four framing systems investigated in this study.
REFERENCES
1 AISC 341 & 358, P/BC 2008-098- ‘Structural Design Guidelines For Steel moment Resisting
Frames’ Information Bulletin/Public-Building Code.
2 ETAB 2015 ‘Extended Three Dimensional Analysis of Building Systems’, Version 15.0.,
Computers & Structures, Inc., Berkeley, California.
3 IS 875-Part 1 (1987), ‘Code of Practice for Design loads other than Earthquake for buildings
and structures-Dead loads’, Bureau of Indian Standards, New Delhi.
4 IS 875-Part 2 (1987), ‘Code of Practice for Design loads other than Earthquake for buildings
and structures-Imposed loads’, Bureau of Indian Standards, New Delhi.
5 IS 875-Part 3 (1987), ‘Code of Practice for Design loads other than Earthquake for buildings
and structures-Wind loads’, Bureau of Indian Standards, New Delhi
6 Ramamoorthy, R., Kanagasabai, V., Kausalya, R., Impact of celebrities' image on brand,
International Journal of Pure and Applied Mathematics, V-116, I-18 Special Issue, PP-251-
253, 2017
7 Ramamoorthy, R., Kanagasabai, V., Vignesh, M., Quality assurance in operation theatre
withreference to fortis malar hospital, International Journal of Pure and Applied Mathematics,
V-116, I-14 Special Issue, PP-87-93, 2017
8 Ramya, N., Arthy, J., Honey comb graphs and its energy, International Journal of Pure and
Applied Mathematics, V-116, I-18 Special Issue, PP-83-86, 2017
9 Ramya, N., Jagadeeswari, P., Proper coloring of regular graphs, International Journal of Pure
and Applied Mathematics, V-116, I-16 Special Issue, PP-531-533, 2017
10 Ramya, N., Karunagaran, K., Proper, star and acyclic coloring of some graphs, International
Journal of Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-43-44, 2017
11 Ramya, N., Muthukumar, M., On coloring of 4-regular graphs, International Journal of Pure
and Applied Mathematics, V-116, I-16 Special Issue, PP-491-494, 2017
12 Ramya, N., Muthukumar, M., On star and acyclic coloring of graphs, International Journal of
Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-467-469, 2017
International Journal of Pure and Applied Mathematics Special Issue
8454
13 Ramya, N., Pavi, J., Coloring of book and gear graphs, International Journal of Pure and
Applied Mathematics, V-116, I-17 Special Issue, PP-401-402, 2017
14 Ramya, P., Hameed Hussain, J., Alteration framework for integrating quality of service in
internet real-time network, International Journal of Pure and Applied Mathematics, V-116, I-8
Special Issue, PP-57-61, 2017
15 Ramya, P., Sriram, M., Tweet sarcasm: Peep, International Journal of Pure and Applied
Mathematics, V-116, I-10 Special Issue, PP-231-235, 2017
16 Sabarish, R., Meenakshi, C.M., Comparision of beryllium and CI connecting rod using ansys,
International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue, PP-127-
132, 2017
17 Sabarish, R., Rakesh, N.L., Outcome of inserts for enhancing the heat exchangers,
International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue, PP-419-
422, 2017
18 Sangeetha, M., Gokul, N., Aruls, S., Estimator for control logic in high level synthesis,
International Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-425-
428, 2017
19 Sangeetha, M., Gokul, N., Aruls, S., Image steganography using a curvelet transformation,
International Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-417-
422, 2017
20 Saraswathi, P., Srinivasan, V., Peter, M., Research on financial supply chain from view of
stability, International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue,
PP-211-213, 2017
21 Saravana Kumar, A., Hameed Hussain, J., Expanding the pass percentage in semester
examination, International Journal of Pure and Applied Mathematics, V-116, I-15 Special
Issue, PP-45-48, 2017
22 Saravana, S., Arulselvi, S., AdaBoost SVM based brain tumour image segmentation and
classification, International Journal of Pure and Applied Mathematics, V-116, I-20 Special
Issue, PP-399-403, 2017
23 Saravana, S., Arulselvi, S., Dynamic power management monitoring and controlling system
using wireless sensor network, International Journal of Pure and Applied Mathematics, V-116,
I-20 Special Issue, PP-405-408, 2017
24 Saravana, S., Arulselvi, S., Clustered morphic algorithm based medical image analysis,
International Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-411-
415, 2017
25 Saravana, S., Arulselvi, S., Networks, International Journal of Pure and Applied Mathematics,
V-116, I-20 Special Issue, PP-393-396, 2017
26 Saritha, B., Chockalingam, M.P., Adsorptive removal of heavy metal chromium from aqueous
medium using modified natural adsorbent, International Journal of Civil Engineering and
Technology, V-8, I-8, PP-1382-1387, 2017
27 Saritha, B., Chockalingam, M.P., Adsorptive removal of brilliant green dye by modified
coconut shell adsorbent, International Journal of Pure and Applied Mathematics, V-116, I-13
Special Issue, PP-211-215, 2017
28 Saritha, B., Chockalingam, M.P., Photodegradation of eriochrome black-T dye from aqueous
medium by photocatalysis, International Journal of Pure and Applied Mathematics, V-116, I-
13 Special Issue, PP-183-187, 2017
International Journal of Pure and Applied Mathematics Special Issue
8455
29 Saritha, B., Chockalingam, M.P., Photodradation of malachite green DYE using
TIO<inf>2</inf>/activated carbon composite, International Journal of Civil Engineering and
Technology, V-8, I-8, PP-156-163, 2017
30 Saritha, B., Chockalingam, M.P., Synthesis of photocatalytic composite Fe-C/TiO2 for
degradation of malachite green dye from aqueous medium, International Journal of Pure and
Applied Mathematics, V-116, I-13 Special Issue, PP-177-181, 2017
31 Saritha, B., Chockalingam, M.P., Removal of heavy X`X`l from aqueous medium using
modified natural adsorbent, International Journal of Pure and Applied Mathematics, V-116, I-
13 Special Issue, PP-205-210, 2017
32 Saritha, B., Chockalingam, M.P., Degradation of malachite green dye using a semiconductor
composite, International Journal of Pure and Applied Mathematics, V-116, I-13 Special Issue,
PP-195-199, 2017
33 Sartiha, B., Chockalingam, M.P., Photocatalytic decolourisationoftextileindustrywastewaterby
TiO2, International Journal of Pure and Applied Mathematics, V-116, I-18 Special Issue, PP-
221-224, 2017
34 Sartiha, B., Chockalingam, M.P., Study on photocatalytic degradation of Crystal Violet dye
using a semiconductor, International Journal of Pure and Applied Mathematics, V-116, I-18
Special Issue, PP-209-212, 2017
35 Shanthi, E., Nalini, C., Rama, A., The effect of highly-available epistemologies on hardware
and architecture, International Journal of Pharmacy and Technology, V-8, I-3, PP-17082-
17086, 2016
36 Shanthi, E., Nalini, C., Rama, A., Drith: Autonomous,random communication, International
Journal of Pharmacy and Technology, V-8, I-3, PP-17002-17006, 2016
37 Shanthi, E., Nalini, C., Rama, A., A case for replication, International Journal of Pharmacy
and Technology, V-8, I-3, PP-17234-17238, 2016
38 Shanthi, E., Nalini, C., Rama, A., Elve: A methodology for the emulation of robots,
International Journal of Pharmacy and Technology, V-8, I-3, PP-17182-17187, 2016
39 Shanthi, E., Nalini, C., Rama, A., Autonomous epistemologies for 802.11 mesh networks,
International Journal of Pharmacy and Technology, V-8, I-3, PP-17087-17093, 2016
40 Sharavanan, R., Golden Renjith, R.J., Design and analysis of fuel flow in bend pipes,
International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue, PP-59-64,
2017
41 Sharavanan, R., Jose Ananth Vino, V., Emission analysis of C.I engine run by
diesel,sunflower oil,2 ethyl hexyl nitrate blends, International Journal of Pure and Applied
Mathematics, V-116, I-14 Special Issue, PP-403-408, 2017
42 Sharavanan, R., Sabarish, R., Design of built-in hydraulic jack for light motor vehicles,
International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue, PP-457-
460, 2017
43 Sharavanan, R., Sabarish, R., Design and fabrication of aqua silencer using charcoal and lime
stone, International Journal of Pure and Applied Mathematics, V-116, I-14 Special Issue, PP-
513-516, 2017
44 Sharmila, G., Thooyamani, K.P., Kausalya, R., A schoolwork on customer relationship
management with special reference to domain 2 host, International Journal of Pure and
Applied Mathematics, V-116, I-20 Special Issue, PP-199-203, 2017
45 Sharmila, S., Jeyanthi Rebecca, L., Anbuselvi, S., Kowsalya, E., Kripanand, N.R., Tanty, D.S.,
Choudhary, P., SwathyPriya, L., GC-MS analysis of biofuel extracted from marine algae, Der
Pharmacia Lettre, V-8, I-3, PP-204-214, 2016
International Journal of Pure and Applied Mathematics Special Issue
8456
46 Sidharth Raj, R.S., Sangeetha, M., Data embedding method using adaptive pixel pair matching
method, International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue,
PP-417-421, 2017
47 Sidharth Raj, R.S., Sangeetha, M., Android based industrial fault monitoring, International
Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue, PP-423-427, 2017
48 Sidharth Raj, R.S., Sangeetha, M., Mobile robot system control through an brain computer
interface, International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue,
PP-413-415, 2017
49 Sivaraman, K., Sundarraj, B., Decisive lesion detection in digital fundus image, International
Journal of Pure and Applied Mathematics, V-116, I-10 Special Issue, PP-161-164, 2017
50 Sridhar, J., Sriram, M., Cloud privacy preserving for dynamic groups, International Journal of
Pure and Applied Mathematics, V-116, I-8 Special Issue, PP-117-120, 2017
.
International Journal of Pure and Applied Mathematics Special Issue
8457
8458