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Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 79 editor@iaeme.com
1
B Tech, Department of Civil Engineering, NIT, Srinagar, India
2
Professor and Head, Department of Civil Engineering, NIT, Srinagar, India
3
M Tech, Department of Civil Engineering, Kurukshetre University, India
4
M Tech, Department of Civil Engineering, NIT, Srinagar, India
ABSTRACT
Most of the construction in Kashmir Valley is still done in brick masonry, our research is
intended to check out the earthquake resistance of on-going masonry building construction (mostly
important buildings like schools) and to point out flaws in design and construction that result
in poor seismic performance of such structures.
Key Words: Earthquake Hazard, Masonry Buildings, Ignorance of Earthquake Hazards in Kashmir,
Ill Workmanship, Poor Design.
1. INTRODUCTION
The valley of Kashmir lies in the seismic zone V as per IS 1893 (part 1): 2002 annex E. As
such it is the hot spot for occurrence of earthquakes not only mild ones but also very severe ones.
However the people here are sleeping in a deep slumber and they keep on constructing buildings
which are no more than death traps considering their Earthquake susceptibility. Leaving alone proper
earthquake design of buildings, even the earthquake resistant guidelines or tips are not even followed
properly here. It is same for both private residential buildings with lesser Importance factor and
government constructed public buildings (like Hospitals, schools and colleges) with high value of
Importance factor.
Most of the loss of life in past earthquakes has occurred due to the collapse of
buildings, constructed in traditional materials like stone, brick, adobe and wood, which were not
initially engineered to be earthquake resistant. In view of the continued use of such buildings in
most countries of the world, it is essential to introduce earthquake resistance features in their
construction.
The main objective of this research is to deal with the basic concepts involved in
achieving appropriate earthquake resistance of masonry buildings; to include suitable
illustrations to explain the important points, and to present such data which could be used to
proportion the critical strengthening elements. Masonry building is defined as buildings which are
SEISMIC EVALUATION OF MASONRY BUILDING A
CASE STUDY
Suhail Shafi1
, Dr. A R Dar2
, DanishZafar Wani3
, Mohd Hanief Dar4
Volume 6, Issue 6, June (2015), Pp. 79-91
Article ID: 20320150606008
International Journal of Civil Engineering and Technology (IJCIET)
© IAEME: www.iaeme.com/Ijciet.asp
ISSN 0976 – 6308 (Print)
ISSN 0976 – 6316 (Online)
IJCIET
© I A E M E
Seismic Evaluation of Masonry Building A Case Study,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (
www.iaeme.com/ijciet.asp
spontaneously and informally constructed in the traditional manner with bricks or stones with
intervention by qualified architects and engineers in their design.
Reinforced masonry, reinforced
types of structural systems, and
although some of the principles stated herein will
2. SEISMIC ANALYSIS AND DESIGN OF AMAR SINGH COLLEGE
Masonry buildings in India are generally designed for vertical loads based on IS 1905.
It is not confirmed whether the lateral load effects from wind or earthquake have been
considered in analysis or not, particularly when the buildings are considered in seismic prone
areas.
2.1 Building Data
The plan is shown in fig 1.
2.2 Material Strength
Permissible compressive strength of masonry (f
(Assuming unit strength = 35 MP
Permissible stress in steel in tension
(Use high strength deformed bars (Fe 415)
2.3 Live load data
Live load on roof = 1.0 KN/m2 (
for seismic calculations = 0)
Live load on first floor = 3.0 KN/m
f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
80
spontaneously and informally constructed in the traditional manner with bricks or stones with
chitects and engineers in their design.
reinforced concrete or steel frame buildings, tall buildings using various
and major industrial buildings, etc., are excluded from
stated herein will equally apply to these constructions.
2. SEISMIC ANALYSIS AND DESIGN OF AMAR SINGH COLLEGE
Masonry buildings in India are generally designed for vertical loads based on IS 1905.
s not confirmed whether the lateral load effects from wind or earthquake have been
considered in analysis or not, particularly when the buildings are considered in seismic prone
Figure 1 Plan of the Building
Permissible compressive strength of masonry (fm) = 2.5 N/mm2
(Assuming unit strength = 35 MPa and mortar H1 type)
Permissible stress in steel in tension = 0.55 fy
ngth deformed bars (Fe 415) i.e. fy= 230 MPa)
for seismic calculations = 0)
Live load on first floor = 3.0 KN/m2
Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
www.jifactor.com
editor@iaeme.com
spontaneously and informally constructed in the traditional manner with bricks or stones with
buildings using various
excluded from consideration
to these constructions.
Masonry buildings in India are generally designed for vertical loads based on IS 1905.
s not confirmed whether the lateral load effects from wind or earthquake have been
considered in analysis or not, particularly when the buildings are considered in seismic prone
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 81 editor@iaeme.com
2.4 Dead load data
Thickness of floor and roof slab = 120 mm
Weight of slab = 3 KN/m2
(Assuming weight density of concrete =25 KN/m3
)
Thickness of ground Storey wall = 350mm
Thickness of first Storey wall = 250mm
2.5 Seismic data
Seismic zone = v,
Zone factor = 0.36,
Importance factor (I) = 1.5
Response reduction factor (R) = 3 (as per IS 1893 (part1): 2002)
Direction of seismic force = E-W direction
3. DETERMINATION OF DESIGN LATERAL LOAD
3.1 Seismic weight calculations
Description Load calculations Total weight (KN)
DL and LL at roof level
(i) Weight of roof 15.7 × 11 × 3 518.1
(ii) Weight of walls ½ × {2 × (15.7 + 11) × 3.66× 5} 488.6
(Assume half weight of walls at
Second Storey lumped at roof)
(iii) Weight of live load (LL) 0 0
(Wr) Weight at roof level
(i) + (ii) + (iii) 1006.7
DL and LL at floor level
(i) Weight of floor 15.7 × 11 × 3 518.1
(ii) Weight of walls
(Assume half weight of walls at ½ × {2 × (15.7 + 11) × 3.66× 7} 1368.1
2nd
Storey and half weight of walls
At 1st Storey is lumped at roof)
(iii) Weight of live load (LL) 3 × 15.7 × 11 518.1
(Wf) weight at second level (i) +(ii) + (iii) 2404.3
Total seismic weight of building (Wr+ Wf) 3411 KN
3.2 Time period calculation
The approximate fundamental natural time period of a masonry building can be calculated
from the clause 7.6.2 of IS (part1): 2002 as,
Ta = 0.09 h/vd = 0.199
Where,
h = height of building in m, {i.e. 3.66 (first Storey) + 3.66 (second Storey) = 7.32m}
d = base dimension of building at the plinth level, in m, along the considered
Direction of lateral force (i.e. 11m, assuming earthquake in E-W direction)
Soil medium type, for which average response acceleration coefficient are as:
Sa/g = 2.5, for T = 0.199
Ah = ZISa/2Rg = (0.36/2) (1.5/3) (2.5) = 0.225
Seismic Evaluation of Masonry Building A Case Study,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (
www.iaeme.com/ijciet.asp
The total design base shear (Vb) along the direction of motion is given by,
Vb = AhW = .225 × 3411 = 767.475 KN
Lateral force at roof level = VB
= 767.475 × 1006.7 × 7.322
/ (1006.7 × 7.32
= 438.475 KN
Lateral force first floor level = V
= 767.475 × 1006.7 × 3.662
/ (1006.7 × 7.32
= 329 KN
Figure 2 (a) Elevation
4. DETERMINATION OF WALL RIGIDITIES
In the second step, we will calculate the relative stiffness of exterior shear walls. It is
assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore,
the stiffness and masses of interior wall may
Rigidity of cantilever pier is given by R
Rigidity of fixed pier is given by R
Rigidity of North shear wall = 0.5Et
Rigidity of south shear wall = Rigidity of North sh
Rigidity of east shear wall = 0.69Et
Rigidity of west shear wall = 1.16Et
Relative stiffness of walls
North shear wall = 0.5 / (0.5 + 0.5)
South shear wall = 0.5
East shear wall = 0.69/ (0.69 + 1.16)
West shear wall = 1.16/ (0.69 + 1.16) = 0.63
5. DETERMINATION OF TORSIONAL FORCES
To calculate the shear forces due to torsion, first calculation of Center of mass and center of
rigidity are done as:
f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
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82
) along the direction of motion is given by,
= 767.475 KN
BWihi
2
/∑ Wihi
2
/ (1006.7 × 7.322
+ 3411×3.662
)
VBWihi
2
/∑ Wihi
2
/ (1006.7 × 7.322
+ 3411×3.662
)
Elevation of Building (b) Seismic Load (c) Storey
4. DETERMINATION OF WALL RIGIDITIES
In the second step, we will calculate the relative stiffness of exterior shear walls. It is
assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore,
the stiffness and masses of interior wall may be neglected in seismic analysis.
Rigidity of cantilever pier is given by Rc= Et/ {4(h/d) 3
+ 3(h/d)}
Rigidity of fixed pier is given by Rf = Et/ {(h/d) 3
+ 3(h/d)}
Rigidity of North shear wall = 0.5Et
Rigidity of south shear wall = Rigidity of North shear wall = 0.5Et
Rigidity of east shear wall = 0.69Et
Rigidity of west shear wall = 1.16Et
North shear wall = 0.5 / (0.5 + 0.5) = 0.5
East shear wall = 0.69/ (0.69 + 1.16) = 0.37
wall = 1.16/ (0.69 + 1.16) = 0.63
5. DETERMINATION OF TORSIONAL FORCES
To calculate the shear forces due to torsion, first calculation of Center of mass and center of
Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
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editor@iaeme.com
(c) Storey Shear
In the second step, we will calculate the relative stiffness of exterior shear walls. It is
assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore,
be neglected in seismic analysis.
To calculate the shear forces due to torsion, first calculation of Center of mass and center of
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 83 editor@iaeme.com
5.1 Location of the center of mass
Centre of mass, XCM and YCM is calculated by taking statical moments about a point, say,
south west corner, using the respective weights of walls as forces in the moment summation. The
calculation of Centre of mass is shown in table 1.
Table 1 Calculation of Centre of Mass
Item Weight i (KN) X (m) Y (m) WX (KN-m) WY (KN-m)
Roof slab
518.1
5.5 7.85 2849.6 4067
North Wall 224.7 5.5 15.7 1235.85 3527.8
South Wall 224.7 5.5 0 1235.85 0
East Wall 302.3 5.5 7.85 3325.3 2373
West Wall 367 0 7.85 0 2881
Total ∑W = 1636.8
∑WX =
8646.6
∑WY =
12848.8
XCM = ∑WX/∑ W = 8646.6/1636.8 = 5.28
YCM = ∑WY/∑ W = 12848.8/1636.8 =7.85
5.2 Location of center of rigidity
The center of rigidity, XCR and YCR, is calculated by taking statical moments about apoint,
say, south-west corner, using the relative stiffness of the walls as the forces inthe moment
summation. The stiffness of slab is not considered in the determinationof center of rigidity. The
calculation for the center of rigidity is shown in table 2.
Table 2 Calculation For The Center Of Rigidity
ITEM RX RY X(m) Y(m) YRX XRY
NORTH
WALL
0.5 - - 15.7 7.85 -
SOUTH
WALL
0.5 - - 0 0 -
EAST
WALL
- .37 11 - - 4.04
WEST
WALL
- .63 0 - - 0
TOTAL ∑RX = 1 ∑RY = 1
∑YRX =
7.85
∑XRY =
4.07
XCR = ∑XRY/∑RY = 4.07
YCR = ∑YRX/∑RX = 7.85
5.3 Torsional eccentricity
Torsional eccentricity in y-direction
Eccentricity between center of mass and center of rigidity
eY = 7.85 -7.85 = 0m
Seismic Evaluation of Masonry Building A Case Study,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (
www.iaeme.com/ijciet.asp
Add 5% accidental eccentricity = .05 × 15.7 = 0.785m
Total eccentricity = 0 + 0.785 = 0.785m
Torsional eccentricity in x-direction
Eccentricity between center of mass and center of rigidity
eX = 5.5 – 4.07 = 1.43m
Add 5% accidental eccentricity = .05 × 11 = 0.55m
Total eccentricity = 1.43 + 0.55 = 1.98m
5.4 Torsional moments
The torsional moment due to E
MTX = VXeY = 767.475 × 0.785 = 602.5
MTY = VYeX = 767.475 × 1.98 = 1519.6
(VY = VX, because SA/g is constant value of
5.5 Distribution of direct shear force and torsional shear force
Since, we are considering the seismic force only in E
direction will resist the forces and the walls in
the calculation of distribution of direct shear and torsional shear.
Table 3 calculation of distribution of direct shear and torsional shear
ITEM RX dY R
NORTH
WALL
.5 7.85 3.925
SOUTH
WALL
.5 7.85 3.925
dY = distance of considered wall from center of rigidity (15.7
Direct shear force = relative stiffness of wall × total base shear (0.5 × 767.475
Torsional force in North wall = R
Torsional force in South wall = R
Figure
f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
84
entricity = .05 × 15.7 = 0.785m
Total eccentricity = 0 + 0.785 = 0.785m
direction
Eccentricity between center of mass and center of rigidity
Add 5% accidental eccentricity = .05 × 11 = 0.55m
icity = 1.43 + 0.55 = 1.98m
The torsional moment due to E-W seismic force rotate the building in y
= 767.475 × 0.785 = 602.5
= 767.475 × 1.98 = 1519.6
/g is constant value of 2.5 for the time period 0.11 = T = 0.55)
Distribution of direct shear force and torsional shear force
Since, we are considering the seismic force only in E-W direction, the walls in N
direction will resist the forces and the walls in E-W direction may be ignored. Table 7.3 shows
the calculation of distribution of direct shear and torsional shear.
calculation of distribution of direct shear and torsional shear
RX dY RX dY
2 DIRECT SHEAR
FORCE(KN)
TORSIONAL
SHEAR
FORCE(KN)
3.925 30.8 383.7 38.4
3.925 30.8 383.7 -38.4
= distance of considered wall from center of rigidity (15.7 – 7.85 = 7.85)
lative stiffness of wall × total base shear (0.5 × 767.475
Torsional force in North wall = RXdy × VXeY/ RXdy
2
= 38.4 KN
Torsional force in South wall = RXdy × VXeY/ RXdy
2
= 38.4 KN
Figure 3 Torsional forces in building
Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
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W seismic force rotate the building in y-direction, hence
2.5 for the time period 0.11 = T = 0.55)
W direction, the walls in N-S
W direction may be ignored. Table 7.3 shows
calculation of distribution of direct shear and torsional shear
TORSIONAL
SHEAR
FORCE(KN)
TOTAL
SHEAR
FORCE(KN)
422.1
345.3
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 85 editor@iaeme.com
The torsional forces are additive on the north wall and subtractive on the south wall as
shown, since the code directs that negative torsional shear shall be neglected. Hence the total shear
acting on the south wall is simply direct shear only.
5.6 Distribution of the total shear to individual piers within the wall
The shear carried by the north and south shear wall is now distributed to individual piers on
the basis of their respective stiffness. Since the relative stiffness of all the piers is same, hence, the
shear force will be distributed equally among all the individual piers.
Shear force in North shear wall piers = 422.1/5 =84.42 KN
Shear force in South shear wall piers = 345.3/5 = 69.06 KN
5.7 Increase in axial load due to overturning
Total overturning moment due to lateral force acting on building is,
MOVT = total shear (VX) × vertical distance between first floor level to critical plane ofweakness,
assuming at the level of sill + applied overturning moment at first floorlevel.,
Assume the stiffness of second Storey walls is the same e as first Storey, the
totaldirect shear in E-W direction of seismic load i.e. in X-direction is divided in North andSouth
shear wall in the proportion of their stiffness
Direct shear in north wall (VNX) = 383.7 KN = Direct shear in south wall (VSX)
Distribution of lateral force along the height of North and South wall is:
North shear wall
Lateral force at roof level = VNX × Wrhr
2
/ Wihi
2
= 383.7 × 0.57 = 218.7KN
Lateral force at first floor level = VNX × W1h1
2
/ Wihi
2
= 383.7 × 0.43 = 165KN
South shear wall
Lateral force at roof level = VSX × Wrhr
2
/ Wihi
2
= 383.7 × 0.57 = 218.7KN
Lateral force at first floor level = VSX × W1h1
2
/ Wihi
2
= 383.7 × 0.43 = 165KN
Increase in axial load in piers of North shear wall
Overturning moment in North wall (MOVT) is:
MOVT = 383.7 × 2.56 + 218.8 × 3.66 = 1783 KN
Increase in axial load due to overturning moment
Povt = Movtȴ iAi/In
Where,ȴiAi = centroid of net section of wall is calculated as shown in table 4
In = moment of inertia of net section of wall is calculated as shown in table 5
Table 4 centroid of net section of net section of wall
Pier Area (Ai) m2 ȴ (distance of left edge of wall to centroid of
piers) m
Aiȴ (m3
)
1 1.24 × 0.35 = 0.434 0.62 0.269
2 1.24 × 0.35 = 0.434 2.44 1.058
3 1.24 × 0.35 = 0.434 4.26 1.848
4 1.24 × 0.35 = 0.434 6.08 2.638
5 1.24 × 0.35 = 0.434 7.9 3.429
Σ = 2.17 Σ = 9.2416
Distance from left edge to centroid of net section of wall = 9.2416/2.12 = 4.26
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 86 editor@iaeme.com
Table 5 Calculation of Moment of Inertia of Net Section of Wall
Pier Area (Ai) m2 ȴi (m) Aiȴi (m3) Aiȴi2 (m4) I = td3/12 In = I + Aiȴi2
1 1.24 × 0.35 = 0.434 3.64 1.58 5.75 0.35 × 1.73/12 = 0.143 5.89
2 1.24 × 0.35 = 0.434 1.82 0.79 1.44 0.35 × 1.73/12 = 0.143 1.58
3 1.24 × 0.35 = 0.434 0.00 0.00 0.00 0.35 × 1.73/12 = 0.143 0.14
4 1.24 × 0.35 = 0.434 1.82 0.79 1.44 0.35 × 1.73/12 = 0.143 1.58
5 1.24 × 0.35 = 0.434 3.64 1.58 5.75 0.35 × 1.73/12 = 0.143 5.89
Σ = 2.17 Σ = 15.08
Table 6 Increase in Axial Load in the Pier on North Wall
Pier Aiȴi (m3
)
Povt = Movtȴ iAi/In
(KN)
1 1.58 186.85
2 0.79 93.42
3 0.00 0.00
4 0.79 93.42
5 1.58 186.85
Movt = 1783 KN-m
In = 15.08
The increase in axial load of south shear wall is the same as that for the North shear wall as
the two walls are symmetric.
6. DETERMINATION OF PIER LOADS, MOMENTS AND SHEAR
The total axial load (due to dead load, live load and overturning), shear and moments
in the individual piers of both the shear walls are calculated in table 7and 8 as below
Table 7 Axial load, moments, shear in piers of North shear wall
pier
Effective width of
pier (m)
Pd*
(KN)
PL#
(KN)
Povt
(KN)
Shear VE for
moment (KN)
Moment (KN-m) =
VE × h/2
1 1.84 152.54 57.77 186.85 84.42 71.8
2 2.44 202.276 76.62 93.42 84.42 71.8
3 2.44 202.276 76.62 0.00 84.42 71.8
4 2.44 202.276 76.62 93.42 84.42 71.8
5 1.84 152.54 57.77 186.85 84.42 71.8
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
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Table 8 Axial load, moments, shear in piers of south shear wall
pier
Effective width of
pier (m)
Pd*
(KN)
PL#
(KN)
Povt
(KN)
Shear VE for
moment (KN)
Moment (KN-m) =
VE × h/2
1 1.84 152.54 57.77 186.85 69.1 58.8
2 2.44 202.276 76.62 93.42 69.1 58.8
3 2.44 202.276 76.62 0.00 69.1 58.8
4 2.44 202.276 76.62 93.42 69.1 58.8
5 1.84 152.54 57.77 186.85 69.1 58.8
Where,
* Pd = effective loading width of pier × dead load intensity in KN/m
Effective loading width of pier = width of pier + ½ of each adjacent opening of pier
h = height of pier = 1.7m
Dead load intensity is calculated as (per meter length of wall) below:
North wall first storey
1. Weight of first storey (from level of first floor to sill level) = 2.56 × 0.35 × 20 = 17.5 KN/m
2. Weight of second storey = 3.66 × 0.25 ×20 = 18.3 KN/m
3. Weight of floor at second storey level = ½ × (.12 × 15.7 ×25) = 23.55
(Assume north and south shear wall will take equal amount of load)
4. Weight of roof = ½ × (.12 × 15.7 ×25) =23.55
Total load = 82.8 KN/m
South wall first storey
1. Weight of first storey (from level of first floor to sill level) = 2.56 × 0.35 × 20 = 17.5 KN/m
2. Weight of second storey = 3.66 × 0.25 ×20 = 18.3 KN/m
3. Weight of floor at second storey level = ½ × (.12 × 15.7 ×25) = 23.55
(Assume north and south shear wall will take equal amount of load)
4. Weight of roof = ½ × (.12 × 15.7 ×25) =23.55
Total load = 82.8 KN/m
# PL = effective loading width of pier × live load intensity in KN/m
Effective loading width of pier = width of pier + ½ of each adjacent opening of pier
Live load intensity is calculated as (per meter length of wall) below:
North wall: first storey
1. Live load on floor (3 KN/m2) = ½ × (3 × 15.7) = 23.55 KN/m
(Assume north and south shear wall will take equal amount of load)
2. Live load on roof (1KN/m2) = ½ × (1 × 15.7) = 7.85 KN/m
(Assume north and south shear wall will take equal amount of load)
Total load = 31.4 KN/m
South wall: first storey
1. Live load on floor (3 KN/m2) = ½ × (3 × 15.7) = 23.55 KN/m
(Assume north and south shear wall will take equal amount of load)
2. Live load on roof (1KN/m2) = ½ × (1 × 15.7) = 7.85 KN/m
(Assume north and south shear wall will take equal amount of load)
Total load = 31.4 KN/m
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
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7. DESIGN OF SHEAR WALLS FOR AXIAL LOAD AND MOMENTS
Determination of jamb steel at the pier boundary
North shear wall
The design is tabulated in table9
Table 9 design of north shear wall
Pier
Moment
(KN-m)
Effective depth
(mm)
Area of jamb steel
As* (mm2)
No. of bars P (KN)
(total)
d
(mm)
t
(mm)
fa/Fa fb/Fb fa/Fa
+ fb/Fb
result
1 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK
2 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK
3 71.8 1140 304.3 2@16Ø 278.9 1.24 0.35 0.26 0.26 0.52 OK
4 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK
5 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK
South shear wall
The design is tabulated in table10.
Table 10 design of south shear wall
Pier
Moment
(KN-m)
Effective
depth
(mm)
Area of jamb
steel
As* (mm2)
No. of
bars
P
(KN)
(total)
d
(mm)
t
(mm)
fa/Fa fb/Fb
fa/Fa
+
fb/Fb
result
1 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK
2 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK
3 71.8 1140 304.3 2@16Ø 278.9 1.24 0.35 0.26 0.26 0.52 OK
4 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK
5 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK
* Jamb steel at the pier boundary is given by
As = M/{fs × 0.9 × defective}
Fs = 0.55 Fe = 0.55 × 415 = 230 N/mm2
deffective = dtotal – cover
Assume cover of 50mm on both sides
** Adequacy of individual pier under compression and moment is checked by interaction formula
i.e.
fa/Fa + fb/Fb ≤ 1
fa = Ptotal/{width of pier (d) × t } where, Ptotal = Pd + PL + Povt
fb = M/(td2/6)
Fa = permissible compressive stress = 2.5N/mm2 (as per IS: 1905)
Fb = permissible bending stress = 2.5 + 0.25 × 2.5 = 3.125 N/mm2 (as per IS: 1905)
Seismic Evaluation of Masonry Building A Case Study,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (
www.iaeme.com/ijciet.asp
8. DESIGN OF SHEAR WALLS FOR SHEAR
Shear in building may be resisted by providing the bands or bond beams. The bands represent
a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the
floors to shear (structural) walls. It als
action. In combination with vertical reinforcement, it improves the strength, ductility and energy
dissipation capacity of masonry walls. Depending upon its location in the building it may be term
as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required
however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in
sustaining differential settlements, particularly
8.1 Design of bond beam
Total shear force in E-W direction (V) = 767.475 =768
Moment produced by this is given by
M = V × L/8 = 768 × 15.7/8 = 1507.2
Now,
T = M/d = 1507.2/11 = 137 KN
As = T/fs =137 × 1000/230 = 595.65 mm2
Provide 2 @ 16Ø and 2 @ 12Ø i.e. a total of four bars
A provided = 628mm2
Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c.
9. STRUCTURAL DETAILS OF THE BUILDING
Figure
f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
89
AR WALLS FOR SHEAR
Shear in building may be resisted by providing the bands or bond beams. The bands represent
a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the
floors to shear (structural) walls. It also connects all the structural walls to improve the integral
action. In combination with vertical reinforcement, it improves the strength, ductility and energy
dissipation capacity of masonry walls. Depending upon its location in the building it may be term
as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required
however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in
sustaining differential settlements, particularly, when foundation soil is soft or has uneven properties.
W direction (V) = 767.475 =768
Moment produced by this is given by
= 1507.2
/fs =137 × 1000/230 = 595.65 mm2
Provide 2 @ 16Ø and 2 @ 12Ø i.e. a total of four bars
Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c.
9. STRUCTURAL DETAILS OF THE BUILDING
gure 4 structural details of the building
Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
www.jifactor.com
editor@iaeme.com
Shear in building may be resisted by providing the bands or bond beams. The bands represent
a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the
o connects all the structural walls to improve the integral
action. In combination with vertical reinforcement, it improves the strength, ductility and energy
dissipation capacity of masonry walls. Depending upon its location in the building it may be termed
as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required
however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in
, when foundation soil is soft or has uneven properties.
Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c.
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 90 editor@iaeme.com
10. CHECKING ADEQUACY OF AMAR SINGH COLLEGE BUILDING FOR ABOVE
DESIGN REQUIREMENTS
The design details are now compared with the existing details of the building.
Table 11 Checking Adequacy of Amar Singh College Building for above Design Requirements
S.NO Data of Building under Assessment
Required as per design/IS
code
Whether
Complying?
1. Number of storeys, S =2 Equal to or less than 4 yes
2.
Wall building unit:
BURNED BRICK CONSTRUCTION
Compressive strength = 35 kg/cm2
Compressive strength ≥
35 kg/cm2 yes
3.
Thickness of load bearing walls, t
External wall =350mm
Internal wall =250mm
BB = 230 mm
CCB = 200 mm yes
4. Mortar used =1:6 C:S = 1:6 or richer yes
5.
Longest wall in room, L = 11m BB ≤ 8 m
CCB ≤ 7 m
No
6.
Height of wall, floor to ceiling
h = 3.66 m
BB = 3.45 m
CCB = 3.0 m
No
7.
Door, Window openings (See fig.3)
Overall (b1 + b2+….)/l,
=0.403
One storeyed 0.50
Two Storeyed 0.42
3 or 4 Storeyed 0.33
b4 min 560 mm
b5 min 450 mm
Yes
8.
Floor type
Reinforced Concrete slab
OK
With RC screed
With bracing
With ties & bracing
Yes
9.
Roof type
Sloping trussed,
With bracing
OK
With bracing
With ties &bracing
Yes
10. Seismic Bands
(i) at plinth = provided Required No
(ii) at lintel level = provided Required NO
(iii) at window = not provided
sill level
Required
No
(iv) at ceiling = not provided
eave level
Required
No
(v) at gable ends provided / not provided Required NO
(vi) at ridge top provided / not provided Required NO
11. Vertical bar
(i) at external corners = provided Required in all masonry
Buildings
NO
(ii) at external T-junctions = provided Required in all masonry
Buildings
NO
(iii) at internal corners = provided Required in all masonry
Buildings
NO
(iv) at internal T-junctions = provided Required in all masonry NO
Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani,
Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com
www.iaeme.com/ijciet.asp 91 editor@iaeme.com
CONCLUSION
Earthquakes in Kashmir have been causing extensive damage to buildings and loss of many
valuable lives since times immortal. Such devastations due to earthquake demand the need of making
structures that are earthquake resistant. Since most of the construction in Kashmir is still being done
in masonry, the aim of this project was to study various earthquake resistant measures in masonry
buildings in context with Kashmir then point out the various flaws in construction practices in the
current ongoing masonry constructions particularly important buildings like school buildings etc. and
compare them with the actual seismic requirements.
For the current building it was concluded that the design of the building is susceptible to
earthquake and can fail under design base earthquake because the earthquake resistant features were
either missing or not complying with the design requirements.
REFERENCES
1. Introduction to international disaster management by Damon P. Coppola.
2. Indian Standard Code of practices IS 1893:2002.
3. Indian Standard Code of Practices IS 13828:1993.
4. Mohd Hanief Dar, Zahid Ahmad Chat and Suhail Shafi, “Flaws In Construction Practices of
Masonry Buildings In Kashmir With Reference To Earthquakes (A Case Study)” International
Journal of Advanced Research in Engineering & Technology (IJARET), Volume 6, Issue 1,
2015, pp. 67 - 72, ISSN Print: 0976-6480, ISSN Online: 0976-6499.
5. Mohammed S. Al-Ansari,Qatar University, “Building Response To Blast and Earthquake
Loading” International journal of Computer Engineering & Technology (IJCET), Volume 3,
Issue 2, 2012, pp. 327 - 346, ISSN Print: 0976 – 6367, ISSN Online: 0976 – 6375.
6. Dharane Sidramappa Shivashaankar and Patil Raobahdur Yashwant, “Earthquake Resistant
High Rise Buildings –New Concept” International Journal of Advanced Research in
Engineering & Technology (IJARET), Volume 5, Issue 6, 2014, pp. 121 - 124, ISSN Print:
0976-6480, ISSN Online: 0976-6499.

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Seismic evaluation of masonry building a case study

  • 1. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 79 editor@iaeme.com 1 B Tech, Department of Civil Engineering, NIT, Srinagar, India 2 Professor and Head, Department of Civil Engineering, NIT, Srinagar, India 3 M Tech, Department of Civil Engineering, Kurukshetre University, India 4 M Tech, Department of Civil Engineering, NIT, Srinagar, India ABSTRACT Most of the construction in Kashmir Valley is still done in brick masonry, our research is intended to check out the earthquake resistance of on-going masonry building construction (mostly important buildings like schools) and to point out flaws in design and construction that result in poor seismic performance of such structures. Key Words: Earthquake Hazard, Masonry Buildings, Ignorance of Earthquake Hazards in Kashmir, Ill Workmanship, Poor Design. 1. INTRODUCTION The valley of Kashmir lies in the seismic zone V as per IS 1893 (part 1): 2002 annex E. As such it is the hot spot for occurrence of earthquakes not only mild ones but also very severe ones. However the people here are sleeping in a deep slumber and they keep on constructing buildings which are no more than death traps considering their Earthquake susceptibility. Leaving alone proper earthquake design of buildings, even the earthquake resistant guidelines or tips are not even followed properly here. It is same for both private residential buildings with lesser Importance factor and government constructed public buildings (like Hospitals, schools and colleges) with high value of Importance factor. Most of the loss of life in past earthquakes has occurred due to the collapse of buildings, constructed in traditional materials like stone, brick, adobe and wood, which were not initially engineered to be earthquake resistant. In view of the continued use of such buildings in most countries of the world, it is essential to introduce earthquake resistance features in their construction. The main objective of this research is to deal with the basic concepts involved in achieving appropriate earthquake resistance of masonry buildings; to include suitable illustrations to explain the important points, and to present such data which could be used to proportion the critical strengthening elements. Masonry building is defined as buildings which are SEISMIC EVALUATION OF MASONRY BUILDING A CASE STUDY Suhail Shafi1 , Dr. A R Dar2 , DanishZafar Wani3 , Mohd Hanief Dar4 Volume 6, Issue 6, June (2015), Pp. 79-91 Article ID: 20320150606008 International Journal of Civil Engineering and Technology (IJCIET) © IAEME: www.iaeme.com/Ijciet.asp ISSN 0976 – 6308 (Print) ISSN 0976 – 6316 (Online) IJCIET © I A E M E
  • 2. Seismic Evaluation of Masonry Building A Case Study, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 ( www.iaeme.com/ijciet.asp spontaneously and informally constructed in the traditional manner with bricks or stones with intervention by qualified architects and engineers in their design. Reinforced masonry, reinforced types of structural systems, and although some of the principles stated herein will 2. SEISMIC ANALYSIS AND DESIGN OF AMAR SINGH COLLEGE Masonry buildings in India are generally designed for vertical loads based on IS 1905. It is not confirmed whether the lateral load effects from wind or earthquake have been considered in analysis or not, particularly when the buildings are considered in seismic prone areas. 2.1 Building Data The plan is shown in fig 1. 2.2 Material Strength Permissible compressive strength of masonry (f (Assuming unit strength = 35 MP Permissible stress in steel in tension (Use high strength deformed bars (Fe 415) 2.3 Live load data Live load on roof = 1.0 KN/m2 ( for seismic calculations = 0) Live load on first floor = 3.0 KN/m f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, , Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com 80 spontaneously and informally constructed in the traditional manner with bricks or stones with chitects and engineers in their design. reinforced concrete or steel frame buildings, tall buildings using various and major industrial buildings, etc., are excluded from stated herein will equally apply to these constructions. 2. SEISMIC ANALYSIS AND DESIGN OF AMAR SINGH COLLEGE Masonry buildings in India are generally designed for vertical loads based on IS 1905. s not confirmed whether the lateral load effects from wind or earthquake have been considered in analysis or not, particularly when the buildings are considered in seismic prone Figure 1 Plan of the Building Permissible compressive strength of masonry (fm) = 2.5 N/mm2 (Assuming unit strength = 35 MPa and mortar H1 type) Permissible stress in steel in tension = 0.55 fy ngth deformed bars (Fe 415) i.e. fy= 230 MPa) for seismic calculations = 0) Live load on first floor = 3.0 KN/m2 Suhail Shafi, Dr. A R Dar, Danishzafar Wani, www.jifactor.com editor@iaeme.com spontaneously and informally constructed in the traditional manner with bricks or stones with buildings using various excluded from consideration to these constructions. Masonry buildings in India are generally designed for vertical loads based on IS 1905. s not confirmed whether the lateral load effects from wind or earthquake have been considered in analysis or not, particularly when the buildings are considered in seismic prone
  • 3. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 81 editor@iaeme.com 2.4 Dead load data Thickness of floor and roof slab = 120 mm Weight of slab = 3 KN/m2 (Assuming weight density of concrete =25 KN/m3 ) Thickness of ground Storey wall = 350mm Thickness of first Storey wall = 250mm 2.5 Seismic data Seismic zone = v, Zone factor = 0.36, Importance factor (I) = 1.5 Response reduction factor (R) = 3 (as per IS 1893 (part1): 2002) Direction of seismic force = E-W direction 3. DETERMINATION OF DESIGN LATERAL LOAD 3.1 Seismic weight calculations Description Load calculations Total weight (KN) DL and LL at roof level (i) Weight of roof 15.7 × 11 × 3 518.1 (ii) Weight of walls ½ × {2 × (15.7 + 11) × 3.66× 5} 488.6 (Assume half weight of walls at Second Storey lumped at roof) (iii) Weight of live load (LL) 0 0 (Wr) Weight at roof level (i) + (ii) + (iii) 1006.7 DL and LL at floor level (i) Weight of floor 15.7 × 11 × 3 518.1 (ii) Weight of walls (Assume half weight of walls at ½ × {2 × (15.7 + 11) × 3.66× 7} 1368.1 2nd Storey and half weight of walls At 1st Storey is lumped at roof) (iii) Weight of live load (LL) 3 × 15.7 × 11 518.1 (Wf) weight at second level (i) +(ii) + (iii) 2404.3 Total seismic weight of building (Wr+ Wf) 3411 KN 3.2 Time period calculation The approximate fundamental natural time period of a masonry building can be calculated from the clause 7.6.2 of IS (part1): 2002 as, Ta = 0.09 h/vd = 0.199 Where, h = height of building in m, {i.e. 3.66 (first Storey) + 3.66 (second Storey) = 7.32m} d = base dimension of building at the plinth level, in m, along the considered Direction of lateral force (i.e. 11m, assuming earthquake in E-W direction) Soil medium type, for which average response acceleration coefficient are as: Sa/g = 2.5, for T = 0.199 Ah = ZISa/2Rg = (0.36/2) (1.5/3) (2.5) = 0.225
  • 4. Seismic Evaluation of Masonry Building A Case Study, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 ( www.iaeme.com/ijciet.asp The total design base shear (Vb) along the direction of motion is given by, Vb = AhW = .225 × 3411 = 767.475 KN Lateral force at roof level = VB = 767.475 × 1006.7 × 7.322 / (1006.7 × 7.32 = 438.475 KN Lateral force first floor level = V = 767.475 × 1006.7 × 3.662 / (1006.7 × 7.32 = 329 KN Figure 2 (a) Elevation 4. DETERMINATION OF WALL RIGIDITIES In the second step, we will calculate the relative stiffness of exterior shear walls. It is assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore, the stiffness and masses of interior wall may Rigidity of cantilever pier is given by R Rigidity of fixed pier is given by R Rigidity of North shear wall = 0.5Et Rigidity of south shear wall = Rigidity of North sh Rigidity of east shear wall = 0.69Et Rigidity of west shear wall = 1.16Et Relative stiffness of walls North shear wall = 0.5 / (0.5 + 0.5) South shear wall = 0.5 East shear wall = 0.69/ (0.69 + 1.16) West shear wall = 1.16/ (0.69 + 1.16) = 0.63 5. DETERMINATION OF TORSIONAL FORCES To calculate the shear forces due to torsion, first calculation of Center of mass and center of rigidity are done as: f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, , Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com 82 ) along the direction of motion is given by, = 767.475 KN BWihi 2 /∑ Wihi 2 / (1006.7 × 7.322 + 3411×3.662 ) VBWihi 2 /∑ Wihi 2 / (1006.7 × 7.322 + 3411×3.662 ) Elevation of Building (b) Seismic Load (c) Storey 4. DETERMINATION OF WALL RIGIDITIES In the second step, we will calculate the relative stiffness of exterior shear walls. It is assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore, the stiffness and masses of interior wall may be neglected in seismic analysis. Rigidity of cantilever pier is given by Rc= Et/ {4(h/d) 3 + 3(h/d)} Rigidity of fixed pier is given by Rf = Et/ {(h/d) 3 + 3(h/d)} Rigidity of North shear wall = 0.5Et Rigidity of south shear wall = Rigidity of North shear wall = 0.5Et Rigidity of east shear wall = 0.69Et Rigidity of west shear wall = 1.16Et North shear wall = 0.5 / (0.5 + 0.5) = 0.5 East shear wall = 0.69/ (0.69 + 1.16) = 0.37 wall = 1.16/ (0.69 + 1.16) = 0.63 5. DETERMINATION OF TORSIONAL FORCES To calculate the shear forces due to torsion, first calculation of Center of mass and center of Suhail Shafi, Dr. A R Dar, Danishzafar Wani, www.jifactor.com editor@iaeme.com (c) Storey Shear In the second step, we will calculate the relative stiffness of exterior shear walls. It is assumed here that all the lateral force will be resisted by the exterior shear walls. Therefore, be neglected in seismic analysis. To calculate the shear forces due to torsion, first calculation of Center of mass and center of
  • 5. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 83 editor@iaeme.com 5.1 Location of the center of mass Centre of mass, XCM and YCM is calculated by taking statical moments about a point, say, south west corner, using the respective weights of walls as forces in the moment summation. The calculation of Centre of mass is shown in table 1. Table 1 Calculation of Centre of Mass Item Weight i (KN) X (m) Y (m) WX (KN-m) WY (KN-m) Roof slab 518.1 5.5 7.85 2849.6 4067 North Wall 224.7 5.5 15.7 1235.85 3527.8 South Wall 224.7 5.5 0 1235.85 0 East Wall 302.3 5.5 7.85 3325.3 2373 West Wall 367 0 7.85 0 2881 Total ∑W = 1636.8 ∑WX = 8646.6 ∑WY = 12848.8 XCM = ∑WX/∑ W = 8646.6/1636.8 = 5.28 YCM = ∑WY/∑ W = 12848.8/1636.8 =7.85 5.2 Location of center of rigidity The center of rigidity, XCR and YCR, is calculated by taking statical moments about apoint, say, south-west corner, using the relative stiffness of the walls as the forces inthe moment summation. The stiffness of slab is not considered in the determinationof center of rigidity. The calculation for the center of rigidity is shown in table 2. Table 2 Calculation For The Center Of Rigidity ITEM RX RY X(m) Y(m) YRX XRY NORTH WALL 0.5 - - 15.7 7.85 - SOUTH WALL 0.5 - - 0 0 - EAST WALL - .37 11 - - 4.04 WEST WALL - .63 0 - - 0 TOTAL ∑RX = 1 ∑RY = 1 ∑YRX = 7.85 ∑XRY = 4.07 XCR = ∑XRY/∑RY = 4.07 YCR = ∑YRX/∑RX = 7.85 5.3 Torsional eccentricity Torsional eccentricity in y-direction Eccentricity between center of mass and center of rigidity eY = 7.85 -7.85 = 0m
  • 6. Seismic Evaluation of Masonry Building A Case Study, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 ( www.iaeme.com/ijciet.asp Add 5% accidental eccentricity = .05 × 15.7 = 0.785m Total eccentricity = 0 + 0.785 = 0.785m Torsional eccentricity in x-direction Eccentricity between center of mass and center of rigidity eX = 5.5 – 4.07 = 1.43m Add 5% accidental eccentricity = .05 × 11 = 0.55m Total eccentricity = 1.43 + 0.55 = 1.98m 5.4 Torsional moments The torsional moment due to E MTX = VXeY = 767.475 × 0.785 = 602.5 MTY = VYeX = 767.475 × 1.98 = 1519.6 (VY = VX, because SA/g is constant value of 5.5 Distribution of direct shear force and torsional shear force Since, we are considering the seismic force only in E direction will resist the forces and the walls in the calculation of distribution of direct shear and torsional shear. Table 3 calculation of distribution of direct shear and torsional shear ITEM RX dY R NORTH WALL .5 7.85 3.925 SOUTH WALL .5 7.85 3.925 dY = distance of considered wall from center of rigidity (15.7 Direct shear force = relative stiffness of wall × total base shear (0.5 × 767.475 Torsional force in North wall = R Torsional force in South wall = R Figure f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, , Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com 84 entricity = .05 × 15.7 = 0.785m Total eccentricity = 0 + 0.785 = 0.785m direction Eccentricity between center of mass and center of rigidity Add 5% accidental eccentricity = .05 × 11 = 0.55m icity = 1.43 + 0.55 = 1.98m The torsional moment due to E-W seismic force rotate the building in y = 767.475 × 0.785 = 602.5 = 767.475 × 1.98 = 1519.6 /g is constant value of 2.5 for the time period 0.11 = T = 0.55) Distribution of direct shear force and torsional shear force Since, we are considering the seismic force only in E-W direction, the walls in N direction will resist the forces and the walls in E-W direction may be ignored. Table 7.3 shows the calculation of distribution of direct shear and torsional shear. calculation of distribution of direct shear and torsional shear RX dY RX dY 2 DIRECT SHEAR FORCE(KN) TORSIONAL SHEAR FORCE(KN) 3.925 30.8 383.7 38.4 3.925 30.8 383.7 -38.4 = distance of considered wall from center of rigidity (15.7 – 7.85 = 7.85) lative stiffness of wall × total base shear (0.5 × 767.475 Torsional force in North wall = RXdy × VXeY/ RXdy 2 = 38.4 KN Torsional force in South wall = RXdy × VXeY/ RXdy 2 = 38.4 KN Figure 3 Torsional forces in building Suhail Shafi, Dr. A R Dar, Danishzafar Wani, www.jifactor.com editor@iaeme.com W seismic force rotate the building in y-direction, hence 2.5 for the time period 0.11 = T = 0.55) W direction, the walls in N-S W direction may be ignored. Table 7.3 shows calculation of distribution of direct shear and torsional shear TORSIONAL SHEAR FORCE(KN) TOTAL SHEAR FORCE(KN) 422.1 345.3
  • 7. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 85 editor@iaeme.com The torsional forces are additive on the north wall and subtractive on the south wall as shown, since the code directs that negative torsional shear shall be neglected. Hence the total shear acting on the south wall is simply direct shear only. 5.6 Distribution of the total shear to individual piers within the wall The shear carried by the north and south shear wall is now distributed to individual piers on the basis of their respective stiffness. Since the relative stiffness of all the piers is same, hence, the shear force will be distributed equally among all the individual piers. Shear force in North shear wall piers = 422.1/5 =84.42 KN Shear force in South shear wall piers = 345.3/5 = 69.06 KN 5.7 Increase in axial load due to overturning Total overturning moment due to lateral force acting on building is, MOVT = total shear (VX) × vertical distance between first floor level to critical plane ofweakness, assuming at the level of sill + applied overturning moment at first floorlevel., Assume the stiffness of second Storey walls is the same e as first Storey, the totaldirect shear in E-W direction of seismic load i.e. in X-direction is divided in North andSouth shear wall in the proportion of their stiffness Direct shear in north wall (VNX) = 383.7 KN = Direct shear in south wall (VSX) Distribution of lateral force along the height of North and South wall is: North shear wall Lateral force at roof level = VNX × Wrhr 2 / Wihi 2 = 383.7 × 0.57 = 218.7KN Lateral force at first floor level = VNX × W1h1 2 / Wihi 2 = 383.7 × 0.43 = 165KN South shear wall Lateral force at roof level = VSX × Wrhr 2 / Wihi 2 = 383.7 × 0.57 = 218.7KN Lateral force at first floor level = VSX × W1h1 2 / Wihi 2 = 383.7 × 0.43 = 165KN Increase in axial load in piers of North shear wall Overturning moment in North wall (MOVT) is: MOVT = 383.7 × 2.56 + 218.8 × 3.66 = 1783 KN Increase in axial load due to overturning moment Povt = Movtȴ iAi/In Where,ȴiAi = centroid of net section of wall is calculated as shown in table 4 In = moment of inertia of net section of wall is calculated as shown in table 5 Table 4 centroid of net section of net section of wall Pier Area (Ai) m2 ȴ (distance of left edge of wall to centroid of piers) m Aiȴ (m3 ) 1 1.24 × 0.35 = 0.434 0.62 0.269 2 1.24 × 0.35 = 0.434 2.44 1.058 3 1.24 × 0.35 = 0.434 4.26 1.848 4 1.24 × 0.35 = 0.434 6.08 2.638 5 1.24 × 0.35 = 0.434 7.9 3.429 Σ = 2.17 Σ = 9.2416 Distance from left edge to centroid of net section of wall = 9.2416/2.12 = 4.26
  • 8. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 86 editor@iaeme.com Table 5 Calculation of Moment of Inertia of Net Section of Wall Pier Area (Ai) m2 ȴi (m) Aiȴi (m3) Aiȴi2 (m4) I = td3/12 In = I + Aiȴi2 1 1.24 × 0.35 = 0.434 3.64 1.58 5.75 0.35 × 1.73/12 = 0.143 5.89 2 1.24 × 0.35 = 0.434 1.82 0.79 1.44 0.35 × 1.73/12 = 0.143 1.58 3 1.24 × 0.35 = 0.434 0.00 0.00 0.00 0.35 × 1.73/12 = 0.143 0.14 4 1.24 × 0.35 = 0.434 1.82 0.79 1.44 0.35 × 1.73/12 = 0.143 1.58 5 1.24 × 0.35 = 0.434 3.64 1.58 5.75 0.35 × 1.73/12 = 0.143 5.89 Σ = 2.17 Σ = 15.08 Table 6 Increase in Axial Load in the Pier on North Wall Pier Aiȴi (m3 ) Povt = Movtȴ iAi/In (KN) 1 1.58 186.85 2 0.79 93.42 3 0.00 0.00 4 0.79 93.42 5 1.58 186.85 Movt = 1783 KN-m In = 15.08 The increase in axial load of south shear wall is the same as that for the North shear wall as the two walls are symmetric. 6. DETERMINATION OF PIER LOADS, MOMENTS AND SHEAR The total axial load (due to dead load, live load and overturning), shear and moments in the individual piers of both the shear walls are calculated in table 7and 8 as below Table 7 Axial load, moments, shear in piers of North shear wall pier Effective width of pier (m) Pd* (KN) PL# (KN) Povt (KN) Shear VE for moment (KN) Moment (KN-m) = VE × h/2 1 1.84 152.54 57.77 186.85 84.42 71.8 2 2.44 202.276 76.62 93.42 84.42 71.8 3 2.44 202.276 76.62 0.00 84.42 71.8 4 2.44 202.276 76.62 93.42 84.42 71.8 5 1.84 152.54 57.77 186.85 84.42 71.8
  • 9. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 87 editor@iaeme.com Table 8 Axial load, moments, shear in piers of south shear wall pier Effective width of pier (m) Pd* (KN) PL# (KN) Povt (KN) Shear VE for moment (KN) Moment (KN-m) = VE × h/2 1 1.84 152.54 57.77 186.85 69.1 58.8 2 2.44 202.276 76.62 93.42 69.1 58.8 3 2.44 202.276 76.62 0.00 69.1 58.8 4 2.44 202.276 76.62 93.42 69.1 58.8 5 1.84 152.54 57.77 186.85 69.1 58.8 Where, * Pd = effective loading width of pier × dead load intensity in KN/m Effective loading width of pier = width of pier + ½ of each adjacent opening of pier h = height of pier = 1.7m Dead load intensity is calculated as (per meter length of wall) below: North wall first storey 1. Weight of first storey (from level of first floor to sill level) = 2.56 × 0.35 × 20 = 17.5 KN/m 2. Weight of second storey = 3.66 × 0.25 ×20 = 18.3 KN/m 3. Weight of floor at second storey level = ½ × (.12 × 15.7 ×25) = 23.55 (Assume north and south shear wall will take equal amount of load) 4. Weight of roof = ½ × (.12 × 15.7 ×25) =23.55 Total load = 82.8 KN/m South wall first storey 1. Weight of first storey (from level of first floor to sill level) = 2.56 × 0.35 × 20 = 17.5 KN/m 2. Weight of second storey = 3.66 × 0.25 ×20 = 18.3 KN/m 3. Weight of floor at second storey level = ½ × (.12 × 15.7 ×25) = 23.55 (Assume north and south shear wall will take equal amount of load) 4. Weight of roof = ½ × (.12 × 15.7 ×25) =23.55 Total load = 82.8 KN/m # PL = effective loading width of pier × live load intensity in KN/m Effective loading width of pier = width of pier + ½ of each adjacent opening of pier Live load intensity is calculated as (per meter length of wall) below: North wall: first storey 1. Live load on floor (3 KN/m2) = ½ × (3 × 15.7) = 23.55 KN/m (Assume north and south shear wall will take equal amount of load) 2. Live load on roof (1KN/m2) = ½ × (1 × 15.7) = 7.85 KN/m (Assume north and south shear wall will take equal amount of load) Total load = 31.4 KN/m South wall: first storey 1. Live load on floor (3 KN/m2) = ½ × (3 × 15.7) = 23.55 KN/m (Assume north and south shear wall will take equal amount of load) 2. Live load on roof (1KN/m2) = ½ × (1 × 15.7) = 7.85 KN/m (Assume north and south shear wall will take equal amount of load) Total load = 31.4 KN/m
  • 10. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 88 editor@iaeme.com 7. DESIGN OF SHEAR WALLS FOR AXIAL LOAD AND MOMENTS Determination of jamb steel at the pier boundary North shear wall The design is tabulated in table9 Table 9 design of north shear wall Pier Moment (KN-m) Effective depth (mm) Area of jamb steel As* (mm2) No. of bars P (KN) (total) d (mm) t (mm) fa/Fa fb/Fb fa/Fa + fb/Fb result 1 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK 2 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK 3 71.8 1140 304.3 2@16Ø 278.9 1.24 0.35 0.26 0.26 0.52 OK 4 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK 5 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK South shear wall The design is tabulated in table10. Table 10 design of south shear wall Pier Moment (KN-m) Effective depth (mm) Area of jamb steel As* (mm2) No. of bars P (KN) (total) d (mm) t (mm) fa/Fa fb/Fb fa/Fa + fb/Fb result 1 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK 2 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK 3 71.8 1140 304.3 2@16Ø 278.9 1.24 0.35 0.26 0.26 0.52 OK 4 71.8 1140 304.3 2@16Ø 372.3 1.24 0.35 0.34 0.26 0.60 OK 5 71.8 1140 304.3 2@16Ø 397.2 1.24 0.35 0.37 0.26 0.63 OK * Jamb steel at the pier boundary is given by As = M/{fs × 0.9 × defective} Fs = 0.55 Fe = 0.55 × 415 = 230 N/mm2 deffective = dtotal – cover Assume cover of 50mm on both sides ** Adequacy of individual pier under compression and moment is checked by interaction formula i.e. fa/Fa + fb/Fb ≤ 1 fa = Ptotal/{width of pier (d) × t } where, Ptotal = Pd + PL + Povt fb = M/(td2/6) Fa = permissible compressive stress = 2.5N/mm2 (as per IS: 1905) Fb = permissible bending stress = 2.5 + 0.25 × 2.5 = 3.125 N/mm2 (as per IS: 1905)
  • 11. Seismic Evaluation of Masonry Building A Case Study, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 ( www.iaeme.com/ijciet.asp 8. DESIGN OF SHEAR WALLS FOR SHEAR Shear in building may be resisted by providing the bands or bond beams. The bands represent a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the floors to shear (structural) walls. It als action. In combination with vertical reinforcement, it improves the strength, ductility and energy dissipation capacity of masonry walls. Depending upon its location in the building it may be term as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in sustaining differential settlements, particularly 8.1 Design of bond beam Total shear force in E-W direction (V) = 767.475 =768 Moment produced by this is given by M = V × L/8 = 768 × 15.7/8 = 1507.2 Now, T = M/d = 1507.2/11 = 137 KN As = T/fs =137 × 1000/230 = 595.65 mm2 Provide 2 @ 16Ø and 2 @ 12Ø i.e. a total of four bars A provided = 628mm2 Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c. 9. STRUCTURAL DETAILS OF THE BUILDING Figure f Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, , Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com 89 AR WALLS FOR SHEAR Shear in building may be resisted by providing the bands or bond beams. The bands represent a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the floors to shear (structural) walls. It also connects all the structural walls to improve the integral action. In combination with vertical reinforcement, it improves the strength, ductility and energy dissipation capacity of masonry walls. Depending upon its location in the building it may be term as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in sustaining differential settlements, particularly, when foundation soil is soft or has uneven properties. W direction (V) = 767.475 =768 Moment produced by this is given by = 1507.2 /fs =137 × 1000/230 = 595.65 mm2 Provide 2 @ 16Ø and 2 @ 12Ø i.e. a total of four bars Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c. 9. STRUCTURAL DETAILS OF THE BUILDING gure 4 structural details of the building Suhail Shafi, Dr. A R Dar, Danishzafar Wani, www.jifactor.com editor@iaeme.com Shear in building may be resisted by providing the bands or bond beams. The bands represent a horizontal framing system, which transfer the horizontal shear induced by the earthquakes from the o connects all the structural walls to improve the integral action. In combination with vertical reinforcement, it improves the strength, ductility and energy dissipation capacity of masonry walls. Depending upon its location in the building it may be termed as roof, lintel, and plinth band.in case of a flexible diaphragm, both roof and lintel band is required however, in case of rigid diaphragm, a band at lintel level is sufficient. Plinth band is useful in , when foundation soil is soft or has uneven properties. Therefore, provide 150mm thick band and four bars of steel tied with stirrups 6mm dia at 150 c/c.
  • 12. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 90 editor@iaeme.com 10. CHECKING ADEQUACY OF AMAR SINGH COLLEGE BUILDING FOR ABOVE DESIGN REQUIREMENTS The design details are now compared with the existing details of the building. Table 11 Checking Adequacy of Amar Singh College Building for above Design Requirements S.NO Data of Building under Assessment Required as per design/IS code Whether Complying? 1. Number of storeys, S =2 Equal to or less than 4 yes 2. Wall building unit: BURNED BRICK CONSTRUCTION Compressive strength = 35 kg/cm2 Compressive strength ≥ 35 kg/cm2 yes 3. Thickness of load bearing walls, t External wall =350mm Internal wall =250mm BB = 230 mm CCB = 200 mm yes 4. Mortar used =1:6 C:S = 1:6 or richer yes 5. Longest wall in room, L = 11m BB ≤ 8 m CCB ≤ 7 m No 6. Height of wall, floor to ceiling h = 3.66 m BB = 3.45 m CCB = 3.0 m No 7. Door, Window openings (See fig.3) Overall (b1 + b2+….)/l, =0.403 One storeyed 0.50 Two Storeyed 0.42 3 or 4 Storeyed 0.33 b4 min 560 mm b5 min 450 mm Yes 8. Floor type Reinforced Concrete slab OK With RC screed With bracing With ties & bracing Yes 9. Roof type Sloping trussed, With bracing OK With bracing With ties &bracing Yes 10. Seismic Bands (i) at plinth = provided Required No (ii) at lintel level = provided Required NO (iii) at window = not provided sill level Required No (iv) at ceiling = not provided eave level Required No (v) at gable ends provided / not provided Required NO (vi) at ridge top provided / not provided Required NO 11. Vertical bar (i) at external corners = provided Required in all masonry Buildings NO (ii) at external T-junctions = provided Required in all masonry Buildings NO (iii) at internal corners = provided Required in all masonry Buildings NO (iv) at internal T-junctions = provided Required in all masonry NO
  • 13. Seismic Evaluation of Masonry Building A Case Study, Suhail Shafi, Dr. A R Dar, Danishzafar Wani, Mohd Hanief Dar, Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com www.iaeme.com/ijciet.asp 91 editor@iaeme.com CONCLUSION Earthquakes in Kashmir have been causing extensive damage to buildings and loss of many valuable lives since times immortal. Such devastations due to earthquake demand the need of making structures that are earthquake resistant. Since most of the construction in Kashmir is still being done in masonry, the aim of this project was to study various earthquake resistant measures in masonry buildings in context with Kashmir then point out the various flaws in construction practices in the current ongoing masonry constructions particularly important buildings like school buildings etc. and compare them with the actual seismic requirements. For the current building it was concluded that the design of the building is susceptible to earthquake and can fail under design base earthquake because the earthquake resistant features were either missing or not complying with the design requirements. REFERENCES 1. Introduction to international disaster management by Damon P. Coppola. 2. Indian Standard Code of practices IS 1893:2002. 3. Indian Standard Code of Practices IS 13828:1993. 4. Mohd Hanief Dar, Zahid Ahmad Chat and Suhail Shafi, “Flaws In Construction Practices of Masonry Buildings In Kashmir With Reference To Earthquakes (A Case Study)” International Journal of Advanced Research in Engineering & Technology (IJARET), Volume 6, Issue 1, 2015, pp. 67 - 72, ISSN Print: 0976-6480, ISSN Online: 0976-6499. 5. Mohammed S. Al-Ansari,Qatar University, “Building Response To Blast and Earthquake Loading” International journal of Computer Engineering & Technology (IJCET), Volume 3, Issue 2, 2012, pp. 327 - 346, ISSN Print: 0976 – 6367, ISSN Online: 0976 – 6375. 6. Dharane Sidramappa Shivashaankar and Patil Raobahdur Yashwant, “Earthquake Resistant High Rise Buildings –New Concept” International Journal of Advanced Research in Engineering & Technology (IJARET), Volume 5, Issue 6, 2014, pp. 121 - 124, ISSN Print: 0976-6480, ISSN Online: 0976-6499.