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International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
68
COMPARISON BETWEEN THE EFFECT OF LINTEL AND
LINTEL BAND ON THE GLOBAL PERFORMANCE OF
LOAD BEARING WALLS AND MASONRY INFILLED RC
FRAMES
S Bhargavi1
, R Pradeep Kumar2
1
MS by Research Scholar, Earthquake Engineering Research Centre,
International Institute of Information Technology, Hyderabad, India
2
Professor, Earthquake Engineering Research Centre,
International Institute of Information Technology, Hyderabad, India
ABSTRACT
Improperly designed brick masonry walls cause undesirable effects under seismic loading in
both brick masonry in-filled reinforced concrete (RC) frames and masonry load bearing wall
structures. Doors and windows (openings) are unavoidable components in brick masonry in-filled
RC structures and masonry load bearing wall structures because of its functional and ventilation
requirements. The presence of openings in brick masonry walls reduces the lateral stiffness and
strength of the wall in both RC and load bearing structures, which changes the actual behavior of
structure. If these openings are located in the restricted zones like areas within middle two thirds of a
wall wall, then the wall needs to be strengthened by providing necessary horizontal/vertical (bands)
structural elements such as lintel or lintel bands around them. Lack of such structural elements may
cause the structure to undergo severe damage during the earthquake event. In this paper, two case
studies, (a) the presence of openings in infill wall with or without lintel and lintel band (b) the
presence of openings in load bearing wall with or without lintel and lintel band is studied, to know
the nonlinear response of brick masonry in-filled RC frame and load bearing wall under seismic
loading. To understand the behaviour of the infilled frames and load bearing wall, a two dimensional
(2D) infilled frame and load bearing wall is modeled and analyzed using a tool based on Applied
Element Method (AEM). Nonlinear static pushover (SPO) is performed to estimate capacity of the
models.
Keywords: Horizontal/Vertical bands, Non-Linear Static Pushover Analysis and Applied Element
Method.
INTERNATIONAL JOURNAL OF CIVIL ENGINEERING AND
TECHNOLOGY (IJCIET)
ISSN 0976 – 6308 (Print)
ISSN 0976 – 6316(Online)
Volume 6, Issue 2, February (2015), pp. 68-78
© IAEME: www.iaeme.com/Ijciet.asp
Journal Impact Factor (2015): 9.1215 (Calculated by GISI)
www.jifactor.com
IJCIET
©IAEME
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
69
I. INTRODUCTION
Brick Masonry is primarily used as infill in framed structures or primary unit in load bearing
structures. The in-plane shear resistance and the out-of-plane bending capacity of the walls are
primary qualities of brick masonry to safeguard the structure during earthquake event. The shear and
bending capacities of brick walls are, dependent on the ability of the horizontal mortar joints (bed
joints) and the vertical mortar joints (head joints) to transfer the loads through the brick units; they
also depend on mode of failure of the wall [13].
During strong ground motions, the brick masonry may lose its stability, leading to change in
seismic behavior of a building as a whole. Various studies have been carried out to understand the
behavior of brick masonry; but the effect of openings (i.e., Door(s) and window(s)) and presence of
lintel or lintel bands above the openings are not much studied / rather neglected in the analysis and
design procedures. In this paper, to study effect of openings in the brick masonry, full wall, with
opening, with lintel and with lintel band models are considered with constant mechanical properties.
Since inelastic behaviour is intended in most of the structures subjected to infrequent earthquake
loading, the use of nonlinear analysis is essential to capture the behaviour of brick masonry under
seismic effects. Therefore nonlinear static procedure is adopted in this study.
II. METHODOLOGY
a) AEM
For the purpose of modeling lintel and lintel beam, discrete element approach i.e., Applied
Element Method (AEM) [17] is used. Applied Element Method was first developed by Tagel-Din
Hatem [17] on RC frames and later continued by Bishnu Pandey [15] for its applicability to brick
masonry units. In this methodology, the brick masonry is considered as combination of brick units
and mortar units. The interaction between the brick units and the masonry units is established with
the help of assumed virtual pair of springs in two directions; one normal and the other shear as
shown in (Fig.1.(a)). Each spring is defined with a failure criteria specified on principal stresses
(Fig.1. ( b)). The forces/stresses in the elements are calculated using the forces/stresses in springs
connected between them. The global stiffness matrix generated using connectivity matrix is used to
calculate the deformation in three degrees of freedom defined at the centre of each element for a 2D
problem.
Fig.1. (a) Discretization of brick masonry using unit springs and joint/mortar springs (b) Failure
criteria for joint/mortar springs
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
70
b) Pushover Analysis
The Pushover analysis (POA) is an incremental static analysis used to determine the force
displacement relationship, or the capacity curve for a structure. The analysis involves applying
horizontal loads, in a prescribed pattern onto the structure incrementally; pushing the structure and
plotting the total applied lateral force and associated lateral displacement at each interval, until the
structure achieves predefined target. A plot of the total base shear versus roof displacement in a
structure is obtained from this analysis would indicate any premature failure or weakness.
In present study, Displacement controlled POA is carried out on eight AEM based models;
with a target displacement of 0.048m (1.5% drift) is applied in positive x direction which is
distributed [3] as shown in Fig.2 and 3, to know the performance and damage pattern of brick
masonry.
III. NUMERICAL MODELING
In this study, two cases (a) a single bay single storied non-ductile in-filled RC frame, (b)
Masonry load bearing wall, are considered and for each of the case further four different cases are
considered as shown in Fig.2 & 3.
Fig.2. AEM based models of load bearing wall (a) Full wall (b) with opening (c) with lintel above
opening (d) with lintel band above opening
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
71
Fig.3. AEM based models of RC masonry infilled frame (a) full wall (b) with opening (c) with lintel
above opening (d) with lintel band above opening
Table 1: Material Properties
S.No Material Type Properties
1.
Grade of concrete for Beams,
Columns and Slab
M 25
2. Grade of concrete for Lintel M 15
3. Grade of steel Fe 415
3. Brick Compressive strength (MPa) 5
4.
Young’s Modulus of Elasticity of brick Eb
( N/mm2
)
3.38E6
5. Mortar Compressive strength (MPa) 3.5
6. Mortar Thickness (mm) 10
7. Friction [14] 0.75
8. Cohesion of masonry (MPa) [14] 0.25
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
72
Table 2: Geometry of the Structure
S.No Element Type Geometry
1. Beam Dimension 0.23 m x 0.3m
2. Column Dimension 0.3m x 0.3m
3. Lintel Dimension 0.23m x 0.1m
4. Wall Thickness 0.23m
5. Slab Thickness 0.1m
IV. RESULTS AND INTERPRETATION
In this study, responses of all the 8 models are compared from pushover/ capacity curves. The
behaviour of the structure at different stages of pushover analysis is tabulated in Table 3 and Table 4
in sequence of different response. The location of the crack is indicated by white colored lines which
are highlighted within the red colored circle shown on the brick masonry wall.
a) Discussion of Brick masonry infilled RC frame results
Fig.1. Pushover Curves for RC Infilled Frames
Under lateral in-plane loading of an infilled RC frame without opening, high compressive
stresses are concentrated on the diagonal of an infill. As a result, yielding is observed at 0.5mm
displacement (0.016% Drift) with base shear 185.1kN. At this stage there is no formation of crack in
the model (Table 3) and capacity curve is linear as shown in Fig.2. Similar behaviour is seen in other
three models (opening, opening with lintel and opening with lintel band) but with 30% to 35% of
reduced base shear when compared with full wall model. Reason for the above mentioned variation
is due to presence of opening with/without strengthening structural elements. Perpendicular to
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
73
diagonal principal compressive stresses and strains are the tensile strains. The tensile strain exceeds
the cracking strain of the infill wall material at the displacement 1.8mm (0.058% Drift) with shear
force 226.7kN leading to diagonal cracking, (Table 3). Similar behaviour is seen in other three
models but with 30% to 35% of reduced base shear compared to full wall model. This crack
commence at the centre of the infill and propagates parallel to the compression diagonal (Table 3),
due to which capacity curve drops down at the drift 0.058% as shown in Fig.2. As inter-story drift
increases, the diagonal crack tend to propagate until it extends from center to one corner to the
diagonally opposite corners, (Table 3). This common form of cracking with bed joint sliding is
evident in infill walls with opening, opening with lintel and opening with lintel band as shown in
Fig.2 when subjected to lateral loads (Table 3). Bed-joint sliding is likely to occur when the
bounding frame is strong and flexible. The mortar beds are relatively weak compared to the adjacent
brick masonry units, near the mid-level of the infill wall a plane of weakness forms and damage is in
the form of bed joint crack. Corner compression occurs because of the high stress concentrations at
each corner of the compression diagonal. As concrete frame’s resistance to the applied force is less,
corner crushing is more extensive and the damage propagates into the concrete frame. At the
displacement 6.1mm (0.197% Drift) and base shear 218.5kN crack propagates into column (Table 3),
due to which capacity curve drops down at drift 0.197% as shown in Fig.2. In the case of lintel band
model, crack propagates at higher displacement due to presence of lintel band. RC in-filled frame
without opening reaches maximum strength at 35.5mm displacement (1.145% Drift) with base shear
298.2kN. Similarly other models reach maximum strength with 6% to 20% of reduction in base shear
at different drift values (Table 3). As inter-story drifts increases, corner crushing becomes more
pronounced (Table 3). When this happens, crushing propagates towards the center of the column
leading to strength degradation (Table 3). Therefore, energy is continuously dissipated following
Coulomb friction law. It is evident from Fig.2 that the ductility of in-filled frame with lintel band is
more compared to the in-filled frame with lintel.
Table 3: Comparison of parameters for RC infilled Frames
Damage Stage Full Wall Opening Lintel Lintel Band
Yielding Point
(185.1kN, 0.016%) (120.3 kN, 0.016%) (121.5 kN, 0.016%) (125.7 kN, 0.016%)
Crack Initiation
(226.7 kN, 0.058%) (150.6 kN, 0.032%) (153.4 kN, 0.031%) (161.8 kN, 0.039%)
Crack
Propagation
into Column
(218.5kN, 0.197%) (183.7 kN, 0.18%) (219.5 kN, 0.26%) (216.4 kN, 0.33%)
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
74
Max-Base Shear
(kN)
(298.2kN,1.145% ) (237.2kN,0.6%) (253.6 kN, 0.6%) (278.1 kN, 1.54%)
Displacement at
85% strength
degradation
(mm)
(253.9 kN, 1.36%) (201.62 kN, 1.34%) (222.7 kN, 1.3%)
-
Ultimate Stage
(193.5 kN, 1.5%) (236.9 kN, 1.33%) (239.4 kN, 1.26%)
In case of RC in-filled framed models, full wall model performs better than the other three
models. Eventually opening with lintel band model performs better than opening with lintel and
opening model.
b) Discussion of load bearing wall results
Fig. 2. Pushover curves for load bearing walls
Under lateral in-plane loading of a load bearing wall without opening, high compressive
stresses are formed across the diagonal of an infill, As a result model starts yielding at 0.6mm
displacement (0.019% Drift) with base shear 124.7kN. At this stage there is no formation of crack in
the model (Table 4) and capacity curve is linear as shown in Fig. 3. Similar behaviour is seen in
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp.
other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33%
of reduction in base shear compared to full wall model. Per
stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall
material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal
cracking, (Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base
shear compared to full wall model. This crack commences at the base of the infill and propagates
parallel to the compression diagonal (Table 4) due to which capacity cu
0.042% as shown in Fig. 3. As inter
it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without
opening reaches maximum strengt
Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall
model. As inter-story drifts increase, corner crushing becomes more pronounced (Table 4).
Table 4: Comparison of parameters for
Damage Stage Full Wall
Yielding
(124.7 kN , 0.019%
Crack
Initiation
(135.3 kN, 0.042%
Max-Base
Shear (kN)
(149.4 kN ,0.03%
Displacement
at 85%
strength
degradation
(mm)
(124.5 kN, 0.052%
Undulations in
curve
(64.9 kN, 0.58%
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976
6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
75
other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33%
of reduction in base shear compared to full wall model. Perpendicular to these principal compressive
stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall
material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal
Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base
shear compared to full wall model. This crack commences at the base of the infill and propagates
parallel to the compression diagonal (Table 4) due to which capacity curve drops down at drift
0.042% as shown in Fig. 3. As inter-story drift increases, the diagonal crack tends to propagate until
it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without
opening reaches maximum strength at 0.9mm displacement (0.03% Drift) with base shear 149.4 kN.
Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall
story drifts increase, corner crushing becomes more pronounced (Table 4).
Comparison of parameters for load bearing wall
Opening Lintel
%) (82.6 kN, 0.019%) (86.6 kN, 0.019%)
%) (100.8 kN, 0.032%) (120.8 kN, 0.051%)
% ) (101.4 kN, 0.03%) (122.5kN, 0.058%)
%) (83.26 kN, 0.067%) (101.6kN, 0.077%)
%) (41.6 kN, 1.1%) (43.71 kN, 1.06%)
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
© IAEME
other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33%
pendicular to these principal compressive
stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall
material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal
Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base
shear compared to full wall model. This crack commences at the base of the infill and propagates
rve drops down at drift
story drift increases, the diagonal crack tends to propagate until
it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without
h at 0.9mm displacement (0.03% Drift) with base shear 149.4 kN.
Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall
story drifts increase, corner crushing becomes more pronounced (Table 4).
wall
Lintel Band
(89.18 kN, 0.019%)
) (102.4 kN, 0.042%)
) (108 kN,0.058%)
) (88.26 kN,0.081%)
(39.3 kN, 1.042%)
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
76
In case of Load bearing models, full wall performs better than the other three models.
Eventually opening with lintel model performs better than opening with lintel band and opening
model (Table 4).
c) Comparison of Infilled frame and load bearing wall results
Pushover curves of all eight models are compared to know their behaviour under seismic
loading (In Plane loading at the roof).
(a) (b)
(c) (d)
Fig. 3. Pushover curve for 8 AEM models (a) full wall (b) with opening (c) with lintel above opening
(d) with lintel band above opening
From the above graphs Fig.6 it is clear that the performance of the in-filled RC frame models
is better than load bearing unframed wall model due to the frame action.
In Tables 3 and 4 opening with lintel band model clearly shows the effect of frame on the
performance of structure. In RC in-filled frame, crack commences above lintel band at drift 0.1%,
whereas in load bearing wall crack starts above lintel band after drift 0.33% which leads to strength
degradation. From this it is clear that performance of lintel band is better in the case of RC in-filled
frame compared to load bearing wall.
V. CONCLUSIONS
In this paper four brick masonry infilled RC frames and four brick masonry load bearing
walls (i.e., Full wall, with opening without lintel and lintel band, opening with lintel and opening
with lintel band) have been considered. Displacement based pushover analysis is conducted on each
of these frame to understand the effect of lintel and lintel band on overall capacity of the infilled RC
frames and load bearing walls. Following observations are made in this study.
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
77
1. The results showed that strength and stiffness reduction observed due to opening in masonry
infill. Presence of Lintel and Lintel band improved the infill’s failure mechanism and also
ductility capacity of the frame.
2. In-filled RC frame model response is better than Load bearing bare wall. This is due to
confinement effect of the frame.
3. Lintel band presence is more effective in the case of in-filled RC frame compared to load
bearing wall. This is because the interaction of frame and lintel band increases the overall
stiffness and the same comes into picture after the appearance of diagonal cracks.
4. In the case of load bearing wall, performance of lintel model is better than the response of
lintel band model.
Therefore, in higher seismic zone areas, providing lintel bands for infilled RC
structures is suggested rather than providing lintels and lintels for brick masonry structures.
VI. REFERENCES
Books
1. Applied Technology Council (ATC-43 Project), 1999. Evaluation of Earthquake Damaged
Concrete and Masonry Wall Buildings—Basic Procedures Manual, prepared for the
partnership for Response and Recovery, published by the Federal Emergency Management
Agency, FEMA-306, Washington D.C.
2. Binici, B., Ozcebe, G., and Ozcelik, R. “Analysis and design of FRP composites for seismic
retrofit of infill walls in reinforced concrete frames,” Compos. Part B-Eng., 38, 575–583, 2007.
3. IAEE, (1986), Guidelines for Earthquake Resistant Non-Engineered Construction,
International Association for Earthquake Engineering, Tokyo, available on www.nicee.org.
4. IS 456-1964, 1978, 2000 Indian Standard Code of Practice for Plain and Reinforced Concrete,
Indian Standards Institution, New Delhi110002
5. IS 1893 (Part 1): 2002 Indian Standard Criteria for Earthquake Resistant Design of Structures,
Bureau of Indian Standards, New Delhi 110002.
6. IS 4326, (1993), Indian Standard Code of Practice for Earthquake Resistant Design and
Construction of Buildings, Bureau of Indian Standards, New Delhi
7. IS 13828, (1993), “Indian Standard Guidelines for Improving Earthquake Resistance of Low-
strength Masonry Buildings,” Bureau of Indian Standards, New Delhi.
Chapters in Books
8. FEMA 306 (1998). Evaluation of Earthquake Damaged Concrete and Masonry Wall Buildings
Basic Procedures Manual. Chapter 8: Infilled Frames 183–213. Federal Emergency
Management Agency. Washington D.C., U.S.A.
Journal Papers
9. Bhargavi S and Ramancharla Pradeep Kumar (2014), “Effect of Lintel and Lintel Band on the
Global Performance of Reinforced Concrete Masonry In-filled Frames”, International Journal
of Research in Engineering and Technology, Volume: 03 Special Issue: 16, ICPECDM – 2014,
December 2014, pp.120-128.
10. Goutam Mondal and Sudhir K. Jain., 2008. “Lateral Stiffness of Masonry Infilled Reinforced
Concrete (RC) Frames with Central Opening,” Earthquake spectra, Volume 24, No.3, pages
701-723, August (2008).
11. Hemant B. Kaushik, Durgesh C. Rai and Sudhir K. Jain., 2007. “Stress-Strain Characteristics
of Clay Brick Masonry under Uniaxial Compression” Journal of Materials in Civil Engineering
ASCE September 2007.
International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print),
ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME
78
12. “ Study of Masonry Infilled R.C. Frame With & Without Opening” Rahul P. Rathi , Dr. P.S.
Pajgade , International Journal of Scientific & Engineering Research Volume 3, Issue 6, June-
2012 1 ISSN 2229-5518.
13. Tarik S. El-Salakawy, Osama A. Kamal, Osama. R. El- Hariri and Gehan A. Hamdy,
“Experimental Investigation For Masonry Vaults/Walls Strengthened Using Different
Techniques” International Journal of Civil Engineering & Technology (IJCIET), Volume 5,
Issue 12, 2014, pp. 354 - 365, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316.
14. Sidramappa Shivashankar Dharane, Madhkar Ambadas Sul and Patil Raobahdur Yashwant,
“Earthquake Resistant RCC and Ferrocement Cicular Columns with Main Spiral
Reinforcement” International Journal of Civil Engineering & Technology (IJCIET), Volume 5,
Issue 9, 2014, pp. 100 - 102, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316.
15. Mohammed S. Al-Ansari, “Building Response To Blast and Earthquake Loading” International
Journal of Civil Engineering & Technology (IJCIET), Volume 3, Issue 2, 2012, pp. 327 - 346,
ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316.
Proceeding Papers
16. Korkmaz SZ, Kamanli M, Korkmaz HH, Donduren MS,Cogurcu MT., 2010. “Experimental
Study on the Behaviour of Non-ductile In-filled RC frames Strengthened with External Mesh
Reinforcement and Plaster composite,” Nat. Hazards Earth Syst. Sci., 10: 2305–2316.
17. M.R. Maheri1 , M. A. Najafgholipour2 and A. R. Rajabi (2008) “The influence of mortar
head joints on the in-lane and out-of-plane of the brick masonry walls” The 14th
World
Conference on Earthquake Engineering October 12-17, 2008, Beijing, China.
18. Murty, C.V.R., and Nagar, A., 1996. “Effect of Brittle Masonry Infills on Displacement and
Ductility Demand of Moment Resisting Frames,” Proceedings of Eleventh World Conference
on Earthquake Engineering, Acapulco, Mexico.
19. Pandey, B. H., and Meguro, K., 2004. “Simulation of brick masonry wall behaviour under in
plane lateral loading using applied element method,” The 13thWorld Conference on
Earthquake Engineering, August 1-6, 2004, Vancouver, B.C., Canada.
Theses
20. Tagel-Din Hatem., 1998. “A new efficient method for non linear, large deformation and
collapse analysis of structures,” A thesis submitted for the fulfillment of award of degree of
Doctoral (Ph.D), September, 1998.

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COMPARISON BETWEEN THE EFFECT OF LINTEL AND LINTEL BAND ON THE GLOBAL PERFORMANCE OF LOAD BEARING WALLS AND MASONRY INFILLED RC FRAMES

  • 1. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 68 COMPARISON BETWEEN THE EFFECT OF LINTEL AND LINTEL BAND ON THE GLOBAL PERFORMANCE OF LOAD BEARING WALLS AND MASONRY INFILLED RC FRAMES S Bhargavi1 , R Pradeep Kumar2 1 MS by Research Scholar, Earthquake Engineering Research Centre, International Institute of Information Technology, Hyderabad, India 2 Professor, Earthquake Engineering Research Centre, International Institute of Information Technology, Hyderabad, India ABSTRACT Improperly designed brick masonry walls cause undesirable effects under seismic loading in both brick masonry in-filled reinforced concrete (RC) frames and masonry load bearing wall structures. Doors and windows (openings) are unavoidable components in brick masonry in-filled RC structures and masonry load bearing wall structures because of its functional and ventilation requirements. The presence of openings in brick masonry walls reduces the lateral stiffness and strength of the wall in both RC and load bearing structures, which changes the actual behavior of structure. If these openings are located in the restricted zones like areas within middle two thirds of a wall wall, then the wall needs to be strengthened by providing necessary horizontal/vertical (bands) structural elements such as lintel or lintel bands around them. Lack of such structural elements may cause the structure to undergo severe damage during the earthquake event. In this paper, two case studies, (a) the presence of openings in infill wall with or without lintel and lintel band (b) the presence of openings in load bearing wall with or without lintel and lintel band is studied, to know the nonlinear response of brick masonry in-filled RC frame and load bearing wall under seismic loading. To understand the behaviour of the infilled frames and load bearing wall, a two dimensional (2D) infilled frame and load bearing wall is modeled and analyzed using a tool based on Applied Element Method (AEM). Nonlinear static pushover (SPO) is performed to estimate capacity of the models. Keywords: Horizontal/Vertical bands, Non-Linear Static Pushover Analysis and Applied Element Method. INTERNATIONAL JOURNAL OF CIVIL ENGINEERING AND TECHNOLOGY (IJCIET) ISSN 0976 – 6308 (Print) ISSN 0976 – 6316(Online) Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME: www.iaeme.com/Ijciet.asp Journal Impact Factor (2015): 9.1215 (Calculated by GISI) www.jifactor.com IJCIET ©IAEME
  • 2. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 69 I. INTRODUCTION Brick Masonry is primarily used as infill in framed structures or primary unit in load bearing structures. The in-plane shear resistance and the out-of-plane bending capacity of the walls are primary qualities of brick masonry to safeguard the structure during earthquake event. The shear and bending capacities of brick walls are, dependent on the ability of the horizontal mortar joints (bed joints) and the vertical mortar joints (head joints) to transfer the loads through the brick units; they also depend on mode of failure of the wall [13]. During strong ground motions, the brick masonry may lose its stability, leading to change in seismic behavior of a building as a whole. Various studies have been carried out to understand the behavior of brick masonry; but the effect of openings (i.e., Door(s) and window(s)) and presence of lintel or lintel bands above the openings are not much studied / rather neglected in the analysis and design procedures. In this paper, to study effect of openings in the brick masonry, full wall, with opening, with lintel and with lintel band models are considered with constant mechanical properties. Since inelastic behaviour is intended in most of the structures subjected to infrequent earthquake loading, the use of nonlinear analysis is essential to capture the behaviour of brick masonry under seismic effects. Therefore nonlinear static procedure is adopted in this study. II. METHODOLOGY a) AEM For the purpose of modeling lintel and lintel beam, discrete element approach i.e., Applied Element Method (AEM) [17] is used. Applied Element Method was first developed by Tagel-Din Hatem [17] on RC frames and later continued by Bishnu Pandey [15] for its applicability to brick masonry units. In this methodology, the brick masonry is considered as combination of brick units and mortar units. The interaction between the brick units and the masonry units is established with the help of assumed virtual pair of springs in two directions; one normal and the other shear as shown in (Fig.1.(a)). Each spring is defined with a failure criteria specified on principal stresses (Fig.1. ( b)). The forces/stresses in the elements are calculated using the forces/stresses in springs connected between them. The global stiffness matrix generated using connectivity matrix is used to calculate the deformation in three degrees of freedom defined at the centre of each element for a 2D problem. Fig.1. (a) Discretization of brick masonry using unit springs and joint/mortar springs (b) Failure criteria for joint/mortar springs
  • 3. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 70 b) Pushover Analysis The Pushover analysis (POA) is an incremental static analysis used to determine the force displacement relationship, or the capacity curve for a structure. The analysis involves applying horizontal loads, in a prescribed pattern onto the structure incrementally; pushing the structure and plotting the total applied lateral force and associated lateral displacement at each interval, until the structure achieves predefined target. A plot of the total base shear versus roof displacement in a structure is obtained from this analysis would indicate any premature failure or weakness. In present study, Displacement controlled POA is carried out on eight AEM based models; with a target displacement of 0.048m (1.5% drift) is applied in positive x direction which is distributed [3] as shown in Fig.2 and 3, to know the performance and damage pattern of brick masonry. III. NUMERICAL MODELING In this study, two cases (a) a single bay single storied non-ductile in-filled RC frame, (b) Masonry load bearing wall, are considered and for each of the case further four different cases are considered as shown in Fig.2 & 3. Fig.2. AEM based models of load bearing wall (a) Full wall (b) with opening (c) with lintel above opening (d) with lintel band above opening
  • 4. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 71 Fig.3. AEM based models of RC masonry infilled frame (a) full wall (b) with opening (c) with lintel above opening (d) with lintel band above opening Table 1: Material Properties S.No Material Type Properties 1. Grade of concrete for Beams, Columns and Slab M 25 2. Grade of concrete for Lintel M 15 3. Grade of steel Fe 415 3. Brick Compressive strength (MPa) 5 4. Young’s Modulus of Elasticity of brick Eb ( N/mm2 ) 3.38E6 5. Mortar Compressive strength (MPa) 3.5 6. Mortar Thickness (mm) 10 7. Friction [14] 0.75 8. Cohesion of masonry (MPa) [14] 0.25
  • 5. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 72 Table 2: Geometry of the Structure S.No Element Type Geometry 1. Beam Dimension 0.23 m x 0.3m 2. Column Dimension 0.3m x 0.3m 3. Lintel Dimension 0.23m x 0.1m 4. Wall Thickness 0.23m 5. Slab Thickness 0.1m IV. RESULTS AND INTERPRETATION In this study, responses of all the 8 models are compared from pushover/ capacity curves. The behaviour of the structure at different stages of pushover analysis is tabulated in Table 3 and Table 4 in sequence of different response. The location of the crack is indicated by white colored lines which are highlighted within the red colored circle shown on the brick masonry wall. a) Discussion of Brick masonry infilled RC frame results Fig.1. Pushover Curves for RC Infilled Frames Under lateral in-plane loading of an infilled RC frame without opening, high compressive stresses are concentrated on the diagonal of an infill. As a result, yielding is observed at 0.5mm displacement (0.016% Drift) with base shear 185.1kN. At this stage there is no formation of crack in the model (Table 3) and capacity curve is linear as shown in Fig.2. Similar behaviour is seen in other three models (opening, opening with lintel and opening with lintel band) but with 30% to 35% of reduced base shear when compared with full wall model. Reason for the above mentioned variation is due to presence of opening with/without strengthening structural elements. Perpendicular to
  • 6. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 73 diagonal principal compressive stresses and strains are the tensile strains. The tensile strain exceeds the cracking strain of the infill wall material at the displacement 1.8mm (0.058% Drift) with shear force 226.7kN leading to diagonal cracking, (Table 3). Similar behaviour is seen in other three models but with 30% to 35% of reduced base shear compared to full wall model. This crack commence at the centre of the infill and propagates parallel to the compression diagonal (Table 3), due to which capacity curve drops down at the drift 0.058% as shown in Fig.2. As inter-story drift increases, the diagonal crack tend to propagate until it extends from center to one corner to the diagonally opposite corners, (Table 3). This common form of cracking with bed joint sliding is evident in infill walls with opening, opening with lintel and opening with lintel band as shown in Fig.2 when subjected to lateral loads (Table 3). Bed-joint sliding is likely to occur when the bounding frame is strong and flexible. The mortar beds are relatively weak compared to the adjacent brick masonry units, near the mid-level of the infill wall a plane of weakness forms and damage is in the form of bed joint crack. Corner compression occurs because of the high stress concentrations at each corner of the compression diagonal. As concrete frame’s resistance to the applied force is less, corner crushing is more extensive and the damage propagates into the concrete frame. At the displacement 6.1mm (0.197% Drift) and base shear 218.5kN crack propagates into column (Table 3), due to which capacity curve drops down at drift 0.197% as shown in Fig.2. In the case of lintel band model, crack propagates at higher displacement due to presence of lintel band. RC in-filled frame without opening reaches maximum strength at 35.5mm displacement (1.145% Drift) with base shear 298.2kN. Similarly other models reach maximum strength with 6% to 20% of reduction in base shear at different drift values (Table 3). As inter-story drifts increases, corner crushing becomes more pronounced (Table 3). When this happens, crushing propagates towards the center of the column leading to strength degradation (Table 3). Therefore, energy is continuously dissipated following Coulomb friction law. It is evident from Fig.2 that the ductility of in-filled frame with lintel band is more compared to the in-filled frame with lintel. Table 3: Comparison of parameters for RC infilled Frames Damage Stage Full Wall Opening Lintel Lintel Band Yielding Point (185.1kN, 0.016%) (120.3 kN, 0.016%) (121.5 kN, 0.016%) (125.7 kN, 0.016%) Crack Initiation (226.7 kN, 0.058%) (150.6 kN, 0.032%) (153.4 kN, 0.031%) (161.8 kN, 0.039%) Crack Propagation into Column (218.5kN, 0.197%) (183.7 kN, 0.18%) (219.5 kN, 0.26%) (216.4 kN, 0.33%)
  • 7. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 74 Max-Base Shear (kN) (298.2kN,1.145% ) (237.2kN,0.6%) (253.6 kN, 0.6%) (278.1 kN, 1.54%) Displacement at 85% strength degradation (mm) (253.9 kN, 1.36%) (201.62 kN, 1.34%) (222.7 kN, 1.3%) - Ultimate Stage (193.5 kN, 1.5%) (236.9 kN, 1.33%) (239.4 kN, 1.26%) In case of RC in-filled framed models, full wall model performs better than the other three models. Eventually opening with lintel band model performs better than opening with lintel and opening model. b) Discussion of load bearing wall results Fig. 2. Pushover curves for load bearing walls Under lateral in-plane loading of a load bearing wall without opening, high compressive stresses are formed across the diagonal of an infill, As a result model starts yielding at 0.6mm displacement (0.019% Drift) with base shear 124.7kN. At this stage there is no formation of crack in the model (Table 4) and capacity curve is linear as shown in Fig. 3. Similar behaviour is seen in
  • 8. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33% of reduction in base shear compared to full wall model. Per stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal cracking, (Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base shear compared to full wall model. This crack commences at the base of the infill and propagates parallel to the compression diagonal (Table 4) due to which capacity cu 0.042% as shown in Fig. 3. As inter it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without opening reaches maximum strengt Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall model. As inter-story drifts increase, corner crushing becomes more pronounced (Table 4). Table 4: Comparison of parameters for Damage Stage Full Wall Yielding (124.7 kN , 0.019% Crack Initiation (135.3 kN, 0.042% Max-Base Shear (kN) (149.4 kN ,0.03% Displacement at 85% strength degradation (mm) (124.5 kN, 0.052% Undulations in curve (64.9 kN, 0.58% International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 75 other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33% of reduction in base shear compared to full wall model. Perpendicular to these principal compressive stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base shear compared to full wall model. This crack commences at the base of the infill and propagates parallel to the compression diagonal (Table 4) due to which capacity curve drops down at drift 0.042% as shown in Fig. 3. As inter-story drift increases, the diagonal crack tends to propagate until it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without opening reaches maximum strength at 0.9mm displacement (0.03% Drift) with base shear 149.4 kN. Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall story drifts increase, corner crushing becomes more pronounced (Table 4). Comparison of parameters for load bearing wall Opening Lintel %) (82.6 kN, 0.019%) (86.6 kN, 0.019%) %) (100.8 kN, 0.032%) (120.8 kN, 0.051%) % ) (101.4 kN, 0.03%) (122.5kN, 0.058%) %) (83.26 kN, 0.067%) (101.6kN, 0.077%) %) (41.6 kN, 1.1%) (43.71 kN, 1.06%) International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), © IAEME other three models (opening, opening with lintel and opening with lintel band) but with 28% to 33% pendicular to these principal compressive stresses and strains are tensile strains. The tensile strain exceeds the cracking strain of the infill wall material at the displacement 1.3mm (0.042% Drift) with shear force 135.3kN leading to diagonal Table 4). Similar behaviour is seen in other models but with 10% to 25% of reduced base shear compared to full wall model. This crack commences at the base of the infill and propagates rve drops down at drift story drift increases, the diagonal crack tends to propagate until it extends from one corner to the diagonally opposite corner (Table 4). Load bearing wall without h at 0.9mm displacement (0.03% Drift) with base shear 149.4 kN. Similarly other models reach to 18% to 33% of reduced maximum base shear compared to full wall story drifts increase, corner crushing becomes more pronounced (Table 4). wall Lintel Band (89.18 kN, 0.019%) ) (102.4 kN, 0.042%) ) (108 kN,0.058%) ) (88.26 kN,0.081%) (39.3 kN, 1.042%)
  • 9. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 76 In case of Load bearing models, full wall performs better than the other three models. Eventually opening with lintel model performs better than opening with lintel band and opening model (Table 4). c) Comparison of Infilled frame and load bearing wall results Pushover curves of all eight models are compared to know their behaviour under seismic loading (In Plane loading at the roof). (a) (b) (c) (d) Fig. 3. Pushover curve for 8 AEM models (a) full wall (b) with opening (c) with lintel above opening (d) with lintel band above opening From the above graphs Fig.6 it is clear that the performance of the in-filled RC frame models is better than load bearing unframed wall model due to the frame action. In Tables 3 and 4 opening with lintel band model clearly shows the effect of frame on the performance of structure. In RC in-filled frame, crack commences above lintel band at drift 0.1%, whereas in load bearing wall crack starts above lintel band after drift 0.33% which leads to strength degradation. From this it is clear that performance of lintel band is better in the case of RC in-filled frame compared to load bearing wall. V. CONCLUSIONS In this paper four brick masonry infilled RC frames and four brick masonry load bearing walls (i.e., Full wall, with opening without lintel and lintel band, opening with lintel and opening with lintel band) have been considered. Displacement based pushover analysis is conducted on each of these frame to understand the effect of lintel and lintel band on overall capacity of the infilled RC frames and load bearing walls. Following observations are made in this study.
  • 10. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 77 1. The results showed that strength and stiffness reduction observed due to opening in masonry infill. Presence of Lintel and Lintel band improved the infill’s failure mechanism and also ductility capacity of the frame. 2. In-filled RC frame model response is better than Load bearing bare wall. This is due to confinement effect of the frame. 3. Lintel band presence is more effective in the case of in-filled RC frame compared to load bearing wall. This is because the interaction of frame and lintel band increases the overall stiffness and the same comes into picture after the appearance of diagonal cracks. 4. In the case of load bearing wall, performance of lintel model is better than the response of lintel band model. Therefore, in higher seismic zone areas, providing lintel bands for infilled RC structures is suggested rather than providing lintels and lintels for brick masonry structures. VI. REFERENCES Books 1. Applied Technology Council (ATC-43 Project), 1999. Evaluation of Earthquake Damaged Concrete and Masonry Wall Buildings—Basic Procedures Manual, prepared for the partnership for Response and Recovery, published by the Federal Emergency Management Agency, FEMA-306, Washington D.C. 2. Binici, B., Ozcebe, G., and Ozcelik, R. “Analysis and design of FRP composites for seismic retrofit of infill walls in reinforced concrete frames,” Compos. Part B-Eng., 38, 575–583, 2007. 3. IAEE, (1986), Guidelines for Earthquake Resistant Non-Engineered Construction, International Association for Earthquake Engineering, Tokyo, available on www.nicee.org. 4. IS 456-1964, 1978, 2000 Indian Standard Code of Practice for Plain and Reinforced Concrete, Indian Standards Institution, New Delhi110002 5. IS 1893 (Part 1): 2002 Indian Standard Criteria for Earthquake Resistant Design of Structures, Bureau of Indian Standards, New Delhi 110002. 6. IS 4326, (1993), Indian Standard Code of Practice for Earthquake Resistant Design and Construction of Buildings, Bureau of Indian Standards, New Delhi 7. IS 13828, (1993), “Indian Standard Guidelines for Improving Earthquake Resistance of Low- strength Masonry Buildings,” Bureau of Indian Standards, New Delhi. Chapters in Books 8. FEMA 306 (1998). Evaluation of Earthquake Damaged Concrete and Masonry Wall Buildings Basic Procedures Manual. Chapter 8: Infilled Frames 183–213. Federal Emergency Management Agency. Washington D.C., U.S.A. Journal Papers 9. Bhargavi S and Ramancharla Pradeep Kumar (2014), “Effect of Lintel and Lintel Band on the Global Performance of Reinforced Concrete Masonry In-filled Frames”, International Journal of Research in Engineering and Technology, Volume: 03 Special Issue: 16, ICPECDM – 2014, December 2014, pp.120-128. 10. Goutam Mondal and Sudhir K. Jain., 2008. “Lateral Stiffness of Masonry Infilled Reinforced Concrete (RC) Frames with Central Opening,” Earthquake spectra, Volume 24, No.3, pages 701-723, August (2008). 11. Hemant B. Kaushik, Durgesh C. Rai and Sudhir K. Jain., 2007. “Stress-Strain Characteristics of Clay Brick Masonry under Uniaxial Compression” Journal of Materials in Civil Engineering ASCE September 2007.
  • 11. International Journal of Civil Engineering and Technology (IJCIET), ISSN 0976 – 6308 (Print), ISSN 0976 – 6316(Online), Volume 6, Issue 2, February (2015), pp. 68-78 © IAEME 78 12. “ Study of Masonry Infilled R.C. Frame With & Without Opening” Rahul P. Rathi , Dr. P.S. Pajgade , International Journal of Scientific & Engineering Research Volume 3, Issue 6, June- 2012 1 ISSN 2229-5518. 13. Tarik S. El-Salakawy, Osama A. Kamal, Osama. R. El- Hariri and Gehan A. Hamdy, “Experimental Investigation For Masonry Vaults/Walls Strengthened Using Different Techniques” International Journal of Civil Engineering & Technology (IJCIET), Volume 5, Issue 12, 2014, pp. 354 - 365, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316. 14. Sidramappa Shivashankar Dharane, Madhkar Ambadas Sul and Patil Raobahdur Yashwant, “Earthquake Resistant RCC and Ferrocement Cicular Columns with Main Spiral Reinforcement” International Journal of Civil Engineering & Technology (IJCIET), Volume 5, Issue 9, 2014, pp. 100 - 102, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316. 15. Mohammed S. Al-Ansari, “Building Response To Blast and Earthquake Loading” International Journal of Civil Engineering & Technology (IJCIET), Volume 3, Issue 2, 2012, pp. 327 - 346, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316. Proceeding Papers 16. Korkmaz SZ, Kamanli M, Korkmaz HH, Donduren MS,Cogurcu MT., 2010. “Experimental Study on the Behaviour of Non-ductile In-filled RC frames Strengthened with External Mesh Reinforcement and Plaster composite,” Nat. Hazards Earth Syst. Sci., 10: 2305–2316. 17. M.R. Maheri1 , M. A. Najafgholipour2 and A. R. Rajabi (2008) “The influence of mortar head joints on the in-lane and out-of-plane of the brick masonry walls” The 14th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China. 18. Murty, C.V.R., and Nagar, A., 1996. “Effect of Brittle Masonry Infills on Displacement and Ductility Demand of Moment Resisting Frames,” Proceedings of Eleventh World Conference on Earthquake Engineering, Acapulco, Mexico. 19. Pandey, B. H., and Meguro, K., 2004. “Simulation of brick masonry wall behaviour under in plane lateral loading using applied element method,” The 13thWorld Conference on Earthquake Engineering, August 1-6, 2004, Vancouver, B.C., Canada. Theses 20. Tagel-Din Hatem., 1998. “A new efficient method for non linear, large deformation and collapse analysis of structures,” A thesis submitted for the fulfillment of award of degree of Doctoral (Ph.D), September, 1998.