DESIGN AND ANALYSIS OF EARTH-QUAKE RESISTANT FOR MULTI-STORIED BUILDING ON A SLOPING GROUND

85
International Journal of Research and Innovation (IJRI)
DESIGN AND ANALYSIS OF EARTH-QUAKE RESISTANT
FOR MULTI-STORIED BUILDING ON A SLOPING GROUND
P.Prathibha1
, K. Mythili2
, G.Venkat Ratnam3
1 Research Scholar, Department Of Civil Engineering, Aurora's Scientific Technological & Research Academy, Hyderabad, India
2 Associate professor , Department Of Civil Engineering, Aurora's Scientific Technological & Research Academy, Hyderabad, India
3 Associate professor , Department Of Civil Engineering, Aurora's Scientific Technological & Research Academy, Hyderabad, India
*Corresponding Author:
P.Prathibha ,
Research Scholar, Department Of Civil Engineering,
Aurora's Scientific Technological & Research Academy,
Hyderabad, India
Published: October 31, 2014
Review Type: peer reviewed
Volume: I, Issue : II
Citation: P.Prathibha, Research Scholar (2014)
DESIGN AND ANALYSIS OF EARTH-QUAKE RESIST-
ANT FOR MULTI-STORIED BUILDING ON A SLOPING
GROUND
INTRODUCTION
Seismology is the study of vibrations of earth mainly
caused by earthquakes. The study of these vibra-
tions by various techniques, understanding the na-
ture and various physical processes that generate
them from the major part of the seismology. [2]*
Elastic rebound theory is one such theory, which
was able to describe the phenomenon of earthquake
occurring along the fault lines. Seismology as such
is still a very unknown field of study where a lot of
things are yet to be discovered. [2]*
Picture is showing the fault lines and we can see
that epicentres are all concentrated all along the
fault lines. The reason for seismic activities occur-
ring at places other than the fault lines are still a big
question mark. Also the forecasting of earthquake
has not been done yet and would be a landmark if
done so.
There is general saying that it’s not the earthquake
which kills people but its the bad engineering which
kills people. With industrialization came the de-
mand of high rise building and came dangers with
that.
A seismic design of high rise buildings has
assumed considerable importance in re-
cent times.
Abstract
his project named as “DESIGN OF EARTH-QUAKE RESISTANT MULTI-STORIED RCC BUILDING ON A SLOPING
GROUND” involves the analysis of simple 2-D frames of varying floor heights and varying no of bays using a very popu-
lar software tool STAAD Pro. Using the analysis results various graphs were drawn between the maximum axial force,
maximum shear force, maximum bending moment, maximum tensile force and maximum compressive stress being
developed for the frames on plane ground and sloping ground. The graphs used to drawn comparison between the two
cases and the detailed study of “SHORT COLOUMN EFFECT” failure was carried up. In addition to that the detailed
study of seismology was undertaken and the feasibility of the software tool to be used was also checked. Till date many
such projects have been undertaken on this very topic but the analysis were generally done for the static loads i.e. dead
load, live load etc, but to this the earthquake analysis or seismic analysis is to be incorporated. To create a technical
knowhow, two similar categories of structures were analyzed, first on plane ground and another on a sloping ground.
Then the results were compared. At last the a structure would be analyzed and designed on sloping ground for all pos-
sible load combinations pertaining to IS 456, IS 1893 and IS 13920 manually.
1401-1402

86
In traditional methods adopted based on
fundamental mode of the structure and
distribution of earthquake forces as static
forces at various stories may be adequate
for structures of small height subjected to
earthquake of very low intensity but as the
number of stories increases the seismic de-
sign demands more rigorous.
Phases Of The Project
The project was divided into different phases. They
are as follows:-
Phase-1- Comparison of design results of STAAD
Pro and same problems done manually.
Phase-2- Analysis of simple 2-dimensional re-
inforced concrete frames and as such both static
loads(dead, live and load combinations) and dy-
namic load (Earth quake load) are to be considered
frames first on a plain ground and then on a sloping
ground.
Phase-3- Ductility design and detailing.
PHASE 1
Under the 2nd phase we took up a simple 2 dimen-
sional frame subjected to concentrated loads with
un-equal supporting columns. This is for the anal-
ogy of the actual problem statement of design of a
multi-storied building on a sloping ground. [2]*
Problem statement- analysis of a portal frame as
shown in the figure:
Solution: we first calculated the distribution fac-
tors as given in the table:
joint member Relative
stiffness
Total rela-
tive stiffness
Distri-
bution
factor
2 2-1(1)
2-3(2)
I/2
2I/6
5I/6 3/5
2/5
3 3-2(2)
3-4(3)
3I/9
2I/9
5I/9 3/5
2/5
(a) Non-sway analysis
Fixed end moments
M 1-2=M 2-1=M3-4=M 4-3=0
M 2-3= - [60/3² ](1 x 2²+ 2 x 1² )=40 kN-m
M 3-2= +40 kN-m
So horizontal reaction at 1= 16.59+33.19/2=24.98
kN.
Horizontal reaction at 4= -20.42-10.21/4.5=
-6.8067 kN
Therefore net sway force = 24.89-6.8067= 18.0833
kN.
(b) sway analysis:-
Now the frame will be analysed for a sway force of
18.0833 kN
The ratio of the initial equivalent moments of the
column is given by =( I1/ l1²) : (I2/l2²) = 20.25 : 4
Now the moment distribution is performed choosing
the above fixed end moments
Horizontal reaction at 1= -14.17-8.08/2= -11.125
kN
Horizontal reaction at 4= -4.02-4.01/4.5= - 1.7844
kN
Resolving we have total S=11.125+1.7844 =12.9094
kN
Now the actual sway force of 18.0833 kN , the sway
moments will be 18.0833/12.904 x A as in above
table.
1 2 2 3 3 4
A -14.17 -8.08 8.08 4.02 -4.02 -4.01
Actual
sway mo-
ment
-19.85 -11.31 11.32 5.63 -5.63 -5.62
Non-sway
moments
16.59 33.19 -33.19 20.42 -20.42 -10.21
Final mo-
ments
-3.26 21.87 -21.87 26.05 -26.05 -15.83

87
(c) Reactions
H1=9.31 kN
H4=-9.31 kN
V4=61.39 kN
V1=120-61.39=58.61 kN.
Phase 2
Under phase 2, with full confidence on the STAAD
Pro. Design tool, we proceed with the analysis of
simple 2 dimensional frames. The analysis was done
for both the static load conditions and dynamic load
conditions. The 2nd phase involves the analysis of
frames on a plane ground and then on a sloping
ground.
This 2nd phase can be again broadly divided into
following:-
2.1)we first start with 2 storey frame. First we went
with double bay and up to 4 bays both on a plane
ground and on as sloping ground. we then compare
the results.
2.2)we then go for 4 storey frame. For the same we
start with double bay and up to 4 bays both on a
plane ground and on a sloping ground. we then
compare the results
2.3) we then go for 6 storey frame. For the same
we start with double bay and up to 4 bays both on
a plane ground and on a sloping ground. we then
compare the results.
Problem Statement:-
Member Properties
All Beams : Rectangular, 400 mm width X 500 mm
depth
All Columns: Rectangular, 400 mm width X 500
mm depth
Member Orientation
• All members : Default
Material Constants
• Modulus of Elasticity : 22 KN/sq.mm
• Density : 25 kn/cu.m
• Poisson's Ratio : 0.17
Supports
• Base of all columns: Fixed
Loads
Load case 1 : Earth Quake Load
• Zone- III(Z= 0.16)
• Special revisiting moment frame(RF= 5)
• Importance factor = 1
• Soil type medium • RC frame
• Damping ratio=5
• Self weight of the structure.
• 1893 load in global x direction
Load case 2 : Dead Load
• Self weight of the structure.
• Beams : 30 kN/m in global Y downward
Load case 3 : Live Load
•Beams : 200 kN/m in global Y downward
Load Case 4 : DEAD + LIVE
• L2 X 1.5 + L3 X 1.5
Load Case 5 : DEAD +LIVE+EARTH QUAKE
• L1 X 1.2 + L2 X 1.2+ L3X 1.2
Load Case 6 : DEAD +LIVE-EARTH QUAKE
• -L1 X 1.2 + L2 X 1.2+ L3X 1.2
Load Case 7 : DEAD + EARTH QUAKE
• L1 X 1.5 + L2 X 1.5
Load Case 8 : DEAD -EARTH QUAKE
• -L1 X 1.5 + L2 X 1.5
Load Case 9 : DEAD +EARTH QUAKE

88
• -L1 X 1.5 + L2 X 0.9
Load Case 10 : DEAD -EARTH QUAKE
• -L1 X 1.5 + L2 X 0.9
Analysis Type: P-Delta
Concrete Design:
• Consider all the load cases.
• Parameters: ultimate tensile strength of steel-415
N/sq.mm
• Concrete strength: 30 N/sq.mm
• Clear cover: 30 mm.
• Centre to centre distance of each beam- 4 m
• Height of each storey
(a)First the structure is on level ground all the sup-
porting columns being of 4 m height.
(b)For the second case these design the frame for
same loading combinations but on a sloping ground
of I in 5.
• Each beam length = 5m
So for this the dimensions of the supporting column
are 4m, 4.5 m, 5m, 5.5m and 6m.
Phase 2.1(Double Bay)
Plane Ground
Sloping Ground
Phase 2.1(4 Bay Systems)
Plane Ground

89
PHASE-3
Under the PHASE 3 a detailed design of a frame has
been carried out with the design aid of IS456 and IS
13920:1993
This 3rd phase can be again broadly divided into fol-
lowing:-
3.1) design of an flexural member.
3.2) design of an exterior column.
3.3) design of an interior column.
To illustrate the design of a sub-frame a flexural
member with maximum bending moment has been
carried out .
General specification
• the member is designed according to IS 456:2000
• building > 3 storey height, minimum grade of con-
crete M20 – we used M30
• steel reinforcement of FE 415 used.
Design of the flexural member[2]
General
1) Factored axial stress less than 0.1 fck
2) The member should preferably have a width to
depth ratio of more 0.3
Width/depth=400/500=0.8 > 0.3 ,hence ok
3) Width should not be less then 200mm . But we
provided width of 400 mm which is ok.
4) depth should not be greater than 0.25(clear span)
i.e.(5000- 400)= 4600mm.
Longitudinal reinforcement ( node 16)
We will find the reinforcement due to a sagging mo-
ment of 455 kN-m.
Assuming 25 mm dia bars with 25 mm clear cover
Effective depth(d)= 500-25-(25/2)=465mm
From table D of SP 16 :1980 M u,lim /bd2
= 4.14 (for
M-30 and FE 415)
Mu
,lim = 4.14 x 400 x 4652
= 358.1 kN-m.
Actual moment 455 kN-m is greater than 358.1
kN-m ,so we go for the doubly reinforced section.
Reinforcement from table 50 of SP 16: 1890
Mu
/bd2
= 5.26
d1
/d = 0.08
Pt
(bottom) = 1.7028
Pc
(top) = 0.784
Reinforcement due to the sagging moment
328.98kN-m is the design hogging moment which is
not greater than 358.1kN-m ,so we go for the singly
reinforced section.
Mu
/bd2
= 3.80
From table 4 we have,
Pt
(top)=1.282
now required reinforcement is the maximum of
0.784 and 1.282,so finally we have.
Reinforcement due to the hogging moment
Pt
(top) = 1.282
Pc
(bottom) = 1.7028
Reinforcement at top (At)=1.282x 400x465= 2384
mm2
.
Reinforcement at the bottom=1.7028x400x465
=3167.20 mm2
.
Checks
1) the top and bottom reinforcements should at
least contain 2 bars which is the case here.
2)tension steel ratio p min≤ 0.24 ( fck/fy) 1/2=0.258
but we have 1.7028. Hence ok
Longitudinal reinforcement (node 34)
We will find the reinforcement due to a sagging mo-
ment of 235 kN-m.
Assuming 25 mm dia bars with 25 mm clear cover
Effective depth (d) = 500-25-(25/2)=465mm
From table D of SP 16 :1980 Mu,lim
/bd2
= 4.14(for
M-30 and FE 415)
Mu,lim
= 4.14 x 400 x 4652 =358.1 kN-m.
Actual moment 235 kN-m is less than 358.1 kN-m
,so we go for the singly reinforced section.
Reinforcement from table 4 SP 16: 1890
Mu
/bd2
=2.717 , d1/d=0.08
Pt
(bottom) = 0.80
Reinforcement due to the sagging moment
349 kN-m is the design hogging moment which is
not greater than 358.1kN-m ,so we go for the singly
reinforced section.
M u
/bd2
= 4.03
From table 4 of SP 16 , we have
Pt
(top)=1.391
so finally we have
Pt
(top) = 1.391

90
Pc
(bottom) = 0.80
Reinforcement at top =1.391 x 400 x 465= 2587
mm2
.
Reinforcement at the bottom=0.808x400x465
=1503 mm2.
Checks
1) the top and bottom reinforcements should at
least contain 2 bars which is the case here.
2) tension steel ratio p min≤ 0.24 ( fck/fy) 1/2=0.258
but we have 0.808 hence ok
Shear reinforcement requirement
Shear force under consideration will be the maxi-
mum of the:-
1) Calculated shear force ( V = 375 )
2) Shear force sue to the formation of the plastic
hinges. At both the ends of the beam.
At node no 16:
Pt
=3216/(400x465)=2.31% ( at top)
Mu,lim
/bd2
= 6.9 (Pt =2.31,d’/d = 0.08)
Mu,lim
= 6.9 x 400 x 4652 = 596 kN-m (maximum
hogging moment)
Pt
= 2450/(400x465) = 1.32% ( at bottom )
Pt
= 8.1 ( 1.32% , d’/d= 0.08)
Mu,lim
= 8.1 x 400 x 4652 = 700.56 kN-m( maximum
sagging moment)
At node 34
Pt
= 1960/(400x465) = 1.05% ( at bottom )
Mu,lim
/bd2
=7.3( Pt = 1.05%, d’/d = 0.08)
Mu,lim
= 7.3 x 400 x 465 2 = 631 kN-m (maximum
sagging moment)
Pt
=2613/(400x465)=1.40%(at top)
Mu,lim
/bd2
= 4.15 (Pt =1.05%, d’/d=0.08)
Mu,lim
= 4.15 x 400 x 4652 = 358kN-m(maximum
hogging moment)
V34
D+L
= V16 D+L
= 1.2 x (30 + 20) = 60
For sway to right
V u,34
=60-1.4[631+596]/4.6 = - 313kN
V u, 16
=60+1.4[631+596]/4.6 = 433
For sway to left
V u, 34
=60+1.4[358+700.56]/4.6 = -382 kN.
V u, 16
=60-1.4[358+700.56]/4.6 = -262 kN
The minimum percentage of steel used is = 1.05%
τ c
= 0.66 N/ mm2
.
τ v
= 433/(400x 465) =2.32 N/ mm2
.
τ 1c,max for M 30 = 3.5 N/ mm2
.
V us
= V u
- τ c
bd = 433 - 122= 310 N/ mm2.
We adopt 8 mm two legged stirrups
A sv
= 100.52 mm2
S max is minimum of
a) d/4 = 465/4= 116
b) 8 d min
= 8 x 25 = 200
c)S=.87 x 415 x 100.5 x 465/(310 x 1000)= 54.42 =
60 mm.
So we provide stirrups @ 60 mm c/c.
Design of exterior column[2]
In this example the columns of the ground floor are
designed for illustrations. The exterior columns no
1 is designed for the forces based on maximum in-
teraction ration (1 in this case)
•We have size of the column 400mm x 500 mm
•Concrete mix M 30
•Vertical reinforcement Fe 415
•Axial load 1160 kN
•Moment from load 229 kN
The general requirement of the column for the duc-
tility will follow IS 13920:1993 and vertical rein-
forcement of the column is designed according to
IS 456:2000. The transverse and the special con-
finement reinforcement will be d by following the IS
13920:1993 and IS 456:2000
General (Column subjected to bending and axial
load)
• IS 13920:1993 will be applicable if the axial stress
> 0.1 f 1ck.
1160 x 1000/ (400 x 500) = 5.8 > 0.1 f 1ck = 3.
• Minimum dimension of the member ≥ 250 and we
have taken 400 which is ok.
• Shortest cross section dimension / perpendicular
dimension ≥ 0.4 and we have the same ratio as 0.8
Vertical (longitudinal) reinforcement

91
( d1= 40 +10= 50 mm, d1 / D = 50/ 500 = 0.1)
From chart 44 SP 16: 1980 ( d1/ D = 0.1, 415 N/
mm2
)
Pu
/ fck
bD = 1160 x 1000 / (30 x 400 x 500)= 0.19
Mu/ fck
bD2
= 0.075
Reinforcement on four sides from chart 44 SP 16:
1980
P/fck
=0.045, reinforcement in % =0.045 x 30 = 1.35
%
A1s = pbd/ 100= 1.35 x 400 x 500 / 100 = 2700mm2
Some important notes:-
• Lap splices only at the central half of the member
• Hoops over the entire splice length at a spacing
<150
• Not more than 50 % of the bars are spliced at one
section.
Transverse reinforcement
Some important points:-
• Hoop requirement as per fig 7 in IS 13920:1993
• If the length of the hoop > 300 mm a cross tie
shall be provided as shown in fig
• Hoop spacing should not exceed half the least lat-
eral dimension of the column i.e. 400/2 = 200 mm
The design shear force for the column shall be
the maximum of the the following:-
a) calculated shear force as per the analysis which
is 53.29 kN.
b)factored shear force as given by Vu
= 1.4
[ M bL
u,lim
+ MbR
u ,lim
/ hst
]
Where M bL
u,lim
and MbR
u ,lim
are the moments of op-
posite sign of beams framing in to the column from
opposite faces and hst
is the storey height.
Moment of resistance of the beam at node 2, assum-
ing all other beams of the same floor is designed for
the same critical design conditions as that of beam
54, we have
At node 2
Pt
= 1960/(400x465) = 1.05% ( at bottom )
M u,lim
/bd2
=7.3( Pt = 1.05%, d’/d = 0.08)
M u,lim
= 7.3 x 400 x 465 2 = 631 kN-m (maximum
sagging moment)
Pt
=2613/(400x465)=1.40%(at top)
M u,lim
/bd2 = 4.15 (Pt
=1.05%, d’/d=0.08)
M u,lim
= 4.15 x 400 x 4652
= 358kN-m(maximum
hogging moment)
V u
= 1.4 [ 631/6]= 147.23 kN
1 + (3 x 1160 x 1000) / [(400x500-3040) x 30] =
1.5890> 1.5
Now corrected τ c
= 1.5 x 0.724 =1.086 N/ mm2
.
Vc = τ c
bd = 1.086 x 400 x 500 = 217.2 kN.
Thus nominal shear reinforcement is to be provided
in accordance to IS 456.
For minimum stirrups we have
S v
≤ A sv 0.87f y
/ 0.4 i.e. ≤ 225
The spacing shall be lesser of the
a) 0.75 d= 0.75 x 475 = 356
b) 256 as calculated.
So we provide 8 mm phi two legged stirrups @ 225
mm. c/c
Special confining reinforcement
Special confining reinforcement is to be provided
over a length of l0 towards the mid span of the col-
umn
l0
≥ *depth of the member = 500 mm+
[1/6 of the clear span which is 1 m in this case]
[450 mm]
The spacing’s of the hoop shall not exceed
S max
< [¼( minimum member dimensions) = 100 in
this case]
[ Should not be less than 75]
[ Should not be greater than 100]
Minimum area of cross section of the bar forming
hoop is
Ash
= 0.18 sh fck
/fy
( Ag /Ak – 1)
We use s = 100 mm from above and h= 400
So we have Ash
= 130 mm2
.
Using 10 mm dia bar ( 78.53 mm2
) at a spacing of
100 x 78.53 / 130= 60 mm i.e .@ 60 mm c/c
Design of interior column[2]
In this example the columns of the ground floor are
designed for illustrations. The exterior columns no
28 is designed for the forces based on maximum
interaction ration (1 in this case)
•We have size of the column 400 mm x 500 mm
•Concrete mix M 30
•Vertical reinforcement Fe 415
•Axial load 2220 kN
•Moment from load 398 kN
The general requirement of the column for the duc-
tility will follow IS 13920:1993 and vertical rein-
forcement of the column is designed according to
IS 456:2000. The transverse and the special con-
finement reinforcement will be d by following the IS
13920:1993 and IS 456:2000.
General (Column subjected to bending and axial
load)

92
• IS 13920:1993 will be applicable if the axial stress
> 0.1 f 1ck.
2260 x 1000/ (400 x 500) = 11.3 > 0.1 f 1ck = 3.
• Minimum dimension of the member ≥ 250 and we
have taken 400 which is ok.
• Shortest cross section dimension / perpendicular
dimension ≥ 0.4 and we have the same ratio as 0.8
Vertical (longitudinal) reinforcement
Assume 20 mm with 40 mm cover ( d1= 40 +10= 50
mm, d1 / d = 50/ 500 = 0.1)
From chart 44 SP 16: 1980 ( d1/ d = 0.1, 415 N/
mm2
)
Pu
/ fck
bD = 2220 x 1000/(30 x 400 x 500)= 0.36
Mu
/ fck
bD2
= 0.1327.
Reinforcement on four sides from chart 44 SP 16:
1980
P/fck
=0.08 %, reinforcement in % =0.08 x 30 = 2.4
%
As
= pbd/ 100= 2.4 x 400 x 500 / 100 = 4800 mm2
Some important notes:-
•Lap splices only at the central half of the member
•Hoops over the entire splice length at a spacing
<150
•Not more than 50 % of the bars are spliced at one
section.
Transverse reinforcement
Some important points:-
•Hoop requirement as per fig 7 on IS 13920:1993
•If the length of the hoop > 300 mm a cross tie shall
be provided as shown in fig
•Hoop spacing should not exceed half the least lat-
eral dimension of the column i.e. 400/2 = 200 mm
The design shear force for the column shall be
the maximum of the the following:-
a) calculated shear force as per the analysis which
is 154 kN.
b)factored shear force as given by Vu
= 1.4
[ M bL
u,lim
+ MbR
u ,lim
/ hst
]
where M bL
u,lim
and MbR
u ,lim
are the moments of op-
posite sign of beams framing in to the column from
opposite faces and hst is the storey height.
moment of resistance of the beam at node 2 ,assum-
ing all other beams of the same floor is designed for
the same critical design conditions as that of beam
54, we have
At node 34
Pt
= 1960/(400x465) = 1.05% ( at bottom )
M u,lim
/bd2 =7.3( Pt = 1.05%, d’/d = 0.08)
M u,lim
= 7.3 x 400 x 4652
= 631 kN-m (maximum
sagging moment)
Pt
=2613/(400x465)=1.40%(at top)
M u,lim
/bd2
= 4.15 (Pt =1.05%, d’/d=0.08)
M u,lim
= 4.15 x 400 x 4652 = 358kN-m(maximum
hogging moment)
V u
= 1.4 [ 631+ 358/5.5]= 251.7 kN
1 +3 P 1u/A 1g f 1ck = 1 + (3 x 2220) / [(400x500-
4940) x 30] = 2.13 > 1.5
Now corrected τ c
= 1.5 x 0.87 =1.305 N/mm2
.
Ductility Detailing:-

93
CONCLUSION
The tasks of providing full seismic safety for the
residents inhabiting the most earthquake-
prone regions are far from being solved. However in
present time we have new regulations in place for
construction that greatly contribute to earthquake
disaster mitigation and are being in applied in ac-
cordance with world practice. [8]* [4]*
In the regulations adopted for implementation in
India the following factors have been found to be
critically important in the design and construction
of seismic resistant buildings:
•Sites selection for construction that are the most
favorable in terms of the
frequency of occurrence and the likely severity of
ground shaking and ground failure;
•high quality of construction to be provided con-
forming to related IS codes such as IS
1893, IS 13920 to ensure good performance during
future earthquakes.
•To implement the design of building elements and
joints between them in accordance with analysis
.i.e. ductility design should be done.
•structural-spatial solutions should be applied that
provide symmetry and regularity in the distribution
of mass and stiffness in plan and in elevation.
•Whereas such the situations demands irregularity
maximum effort should be given to done away with
the harmful effects like that of “SHORT COLUMN
EFFECT”
Researchers indicate that compliance with the
above-mentioned requirements will contribute sig-
nificantly to disaster mitigation, regardless of the
intensity of the seismic loads and specific features
of the earthquakes. These modifications in con-
struction and design can be introduced which as a
result has increase seismic reliability of the build-
ings and seismic safety for human life.
REFERENCES:-
[1].Murthy C.V.R, Learning earthquake design
[2]Agrawal, Shrikhande Mansih, earth quake resist-
ant design of structures
[3]IS:456:2000,Plain and Reinforced code of prac-
tice.
[4]IS:1893(Part-1):2002,Criteria for earth quake re-
sistant design of structure.
[5]IS:13920:1993,Ductile detailing of RCC structure
subjected to earth quake force.
[6]SP:16,Design Aid for Reinforced concrete to
IS:456:2000.
[7]Ramamurtham,Theory of structures
[8] Ashimbayev M.U., Itskov I.E., Lobodryga
T.D.,living with natural and technological hazards,
topic a.2: reducing vulnerabilities in existing build-
ing and lifelines
Author
P.Prathibha
Research Scholar, Department Of Civil Engineering,
Hyderabad, India
K. Mythili
Associate Professor,Department Of Civil Engineering,
Hyderabad, India.
G.venkat Ratnam
Associate Professor,Department Of Civil Engineering,
Hyderabad, India

DESIGN AND ANALYSIS OF EARTH-QUAKE RESISTANT FOR MULTI-STORIED BUILDING ON A SLOPING GROUND

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DESIGN AND ANALYSIS OF EARTH-QUAKE RESISTANT FOR MULTI-STORIED BUILDING ON A SLOPING GROUND