# Seismic Capacity Assessment of Confined Brick Masonry Building: An Experimental Approach

Authors: Asfandyar Ahmed; Imad Ahmad; Khan Shahzada; Muhammad Tayyab Naqash; Bashir Alam; Muhammad Fahad; Sajjad Wali Khan
Journal: Shock and Vibration
 (2018)

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## Abstract

Brick masonry is widely used for building construction throughout the world. However, unreinforced brick masonry buildings performed poorly in the 2005 Kashmir earthquake, in Pakistan, resulting in a decline in the use of brick masonry. In order to investigate and quantify the performance of brick masonry against the seismic forces by confining it through typical stiffer, line elements (column and beams), a full-scaled room model of an area 3048 × 3658 mm (10 × 12 ft) and height of 3353 mm (11 ft) was constructed using confined brick masonry. The model was tested under quasistatic loading system. Crack pattern was noted at the end of each loading cycle. The response of the model was interpreted through a hysteresis curve, which was then idealized by a bilinear curve. A comparison of the results has been made with four different studies done on the similar model made of unreinforced brick masonry before and after retrofitting and unreinforced concrete block masonry before and after retrofitting previously tested at the same testing facility.


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## Body

## 1. Introduction

One of the most important characteristics of masonry construction is its simplicity. Putting pieces of bricks/blocks/stones on top of each other, with cohesion via mortar, is a simple, though adequate technique. In spite of its advantages, masonry has been replaced by concrete and steel as a structural material in many parts of the developed world, particularly in seismically active regions. The low tensile strength and ductility of the masonry seem to be the most important drawbacks to its implementation in building (Magenes 2006) [1].The tensile strength and ductility of unconfined brick masonry are inferior to those of confined brick masonry. Moreover, masonry buildings were usually constructed based on rules of thumb obtained over many years of practice and/or empirical data from testing. Nowadays most of the building codes allow for elastic design of the structures with the result that such structures may be allowed to damage in an earthquake, but their collapse should be prevented, and the occupants of the building should be able to evacuate safely [2].Confined masonry construction has been emerged as an alternative method as compared to unreinforced masonry and reinforced concrete (RC). The system is comprised of a masonry panel confined on all sides by horizontal and vertical RC elements with light reinforcement ratio. This method is considerably different as compared to the infill RC frame considering its construction methodology, as the masonry wall is constructed before the tie columns and beams [3]. In addition, the load transfer mechanism is different in this system under gravity and lateral loading. The confining elements (tie columns and beams) provide strength to the masonry panel and protect it from complete disintegration, especially under large lateral deformations [4].The in-plane load transfer response of a confined masonry wall is very different from that of reinforced concrete infill frame [5].An experimental study has been presented in this paper to evaluate the seismic performance of confined brick masonry (CBM) buildings in the seismically active regions of Pakistan as well as in other similar regions around the world. Several experimental studies on unreinforced masonry (URM) buildings have been conducted worldwide. Studies on shear walls have been conducted by Epperson and Abrams [6], Abrams and Shah [7], Magenes and Calvi [8], Anthoine et al. [9], Manzouri et al. [10], Tomaževič et al. [11], Craig et al. [12], and Franklin et al. [13]. Similarly, Simsir et al. [14] worked out the out-of-plane behavior of walls.However, none of the studies explained the behavior of local building materials and practices specific to CBM buildings in northern Pakistan. The main purpose of this study is to quantify the performance of CBM building that reflects the configuration of building most commonly built in northern parts of Pakistan.


## 2. Experimental Program

### 2.1. Design and Construction of Building Model

A full-scale model shown in Figure1 was constructed for this study. The model resembles a typical interior room in a single story building in the local area. The model was constructed on the strong floor of the Earthquake Engineering Center at the University of Engineering and Technology Peshawar, Pakistan.Figure 1
(a) A picture of the building model, (b) plan and elevation view details of full-scale building model, and (c) location of the hydraulic jacks in the tested building.
(a)
(b)
(c)The interior dimensions of the room model were 3048 × 3658 mm (10 × 12 ft) and 229 mm (9 inches) thick; walls were made using 1 : 5 cement-sand mortar with clay brick masonry in English bond pattern, which is the typical construction method in Pakistan. The brick dimensions were 216 mm × 102 mm × 70 mm. To avoid the formation of continuous vertical joints bricks were laid in a staggered manner (see Figure1(a)). The in-plane walls that were connected to the foundation and the roof slab mainly resisted the lateral forces. The confining elements provided the lateral confinement to the walls. Connection of walls with confining columns was achieved through toothing. The model building was constructed over a 305 mm (12 inches) thick reinforced concrete (RC) pad that was connected to the strong floor via bolts. 76.2 mm (3 in) toothing was spared in every layer of masonry at the four corners and around each opening of the room which was later filled with (1 : 2 : 4) concrete. The filling was done in 3 layers with sufficient rodding to achieve the compaction. Each confining tie column was reinforced with 4 #4 (12 mm-dia) bars tied by #3 (9.5 mm-dia) stirrups at 9′′ (229 mm) c/c. Lintel beams having a size of 152 mm × 229 mm (6 × 9 in) were casted over all the openings. The beam was reinforced with 2 #4 (12 mm-dia) bars in tension and 2 #4 (12 mm-dia) bars as hangers and was tied by #3 (9.5 mm-dia) stirrups at 152 mm (6 in) c/c spacing. Reinforced concrete slab having a thickness of 152 mm (6 in) was casted over the model. The slab was reinforced in both directions with #4 (12 mm-dia) bars spaced at 229 mm (9 in) center to center. 343 mm (13.5 in) thick masonry walls having a height of 762 mm (2.5 ft) were constructed over the slab that accounts for the dead load in vertical direction over the roof of the building from the adjacent parts of it. In order to take the effect of the roof treatment, a 381 mm (15 in) thick sand layer was spread over all the roof of the building. Lateral loading was applied through two hydraulic jacks that were fixed against the strong wall on the side of room model with no openings (see Figure 1(b)). To study the flange effect, a window was also provided in one of the out-of-plane walls.Compressive strength and modulus of elasticity of masonry were determined through test conducted on masonry prisms, 457 mm long × 457 mm high × 229 mm thick (18 × 18 × 9 inches) according to ASTM C1314[2012], as shown in Figure 2. Tensile strength was determined from diagonal compression test on masonry prisms that were also 457 mm long × 457 mm high × 229 mm thick (18 × 18 × 9 inches), as shown in Figure 3. The low diagonal strength of the masonry indicated the weak bond between the mortar and the brick unit.Figure 2
Compressive strength test of a masonry prism.Figure 3
Diagonal compressive strength test of a masonry specimen.ASTM C109/C109M [2013] was used to determine the compressive strength of mortar. The 1 : 5 cement-sand mortar used in this study was based on the local construction practice in Pakistan for solid brick masonry. Various material properties determined through tests are summarized in Table 1.Table 1
Material properties.
Symbol
Description
Value
-
Water absorption of bricks (%)
24.37
f
b
Masonry unit compressive strength (MPa)
14.40
f
b
t
Modulus of rupture (MPa)
3.38
f
m
′
o
Compressive strength of mortar (MPa)
5.63
f
m
′
Compressive strength of masonry (MPa)
3.51
E
m
Elastic modulus of masonry (MPa)
1227.0
f
t
u
Diagonal tensile strength of masonry (MPa)
0.046
C
Cohesion
2.73


### 2.2. Test Setup and Testing Procedure

The lateral loading was applied on the full-scale room model through two hydraulic jacks that were attached to the slab on the east side of building. The capacity of each loading jack was 200 kN (45 kips). This arrangement is shown in Figure1. The model was fixed to the strong floor via posttensioning bolts.In the push direction, bearing through the loading shoes was the means of applying the force to the building. For the pull direction, rods were placed above and below the slab starting from the out-of-plane east wall and ending at the out-of-plane west wall. Bolts were fastened at both ends to fix the rods at their position. The loading arrangement is shown in Figure1(c).To measure displacements, 12 linear variable displacement transducers (LVDT) were used; the arrangement is presented in Figure4. Gauge 01 was the control gauge, which was used to record the in-plane displacement at the middle center of the slab. Gauges 02–05 were used to measure the twisting of the structure. The displacement at the top of the piers was measured with gauges 06–10. Gauges 11 and 12 were used to determine the possible vertical displacement due to global rocking of the building.Figure 4
Location of LVDTs on the full-scale building model.
(a)
Plan view
(b)
Southeast view
(c)
Northwest viewThe dead load stresses on the north wall (i.e., pier 01 and pier 02 according to Figure4) and the south wall (i.e., pier 03, pier 04, and pier 05) were calculated as 0.14 and 0.12 MPa, respectively. The dead load values could be easily compared to material properties given in Table 1.The model was subjected to increasing reversed quasistatic loading cycles at the roof level with each cycle being repeated three times (see Figure5). The test was performed according to the force controlled environment. The test was started from the lateral load of 58.9 kN (6 tons) and it lasted at the load value of 258.96 kN (26 Tons). The load was amplified with an increment of 2 tons in each successive cycle, which makes ten load cycles. During the first load cycle of 58.9 kN (6 tons), corresponding to the story drift of 0.0018% no crack was observed. Under load cycles from 78.5 kN (8 tons) to 137.3 kN (14 tons) of force no cracks were seen. The earthquake force is always deterministic, so to simulate it with our testing facility the load was therefore increased from 137.3 kN (14 tons) to 176.5 kN (18 tons) so that the cracks may be observed. For better understanding, the data was plotted for drift cycles that were obtained for each corresponding load cycle. All the drift cycles are indicated in Table 2. The noise filter was applied to the raw data obtained from data acquisition system using a three- (3-) point moving average method. The filtered data was then used to plot the hysteresis curves and to determine other parameters such as the displacement ductility, response modification factor, and torsion effects as presented in the following sections. During each displacement cycle, structure was monitored carefully in addition to inspections between the cycles. The test was stopped when sufficient cracking observed in the structure as shown in Figures 6–12.Table 2
Description of damage progression for the original building.
Story drift (%)
Damage description
Governing failure mode
Referenced figure
0.093
Diagonal hairline cracks at lintel level of P1, P2, P3 & P5
Shear
6(a)
0.16
Diagonal cracks passing through P1. At P2 & P5 diagonal cracks starting from the base and ending at the window
Rocking and vertical splitting
6(b)
0.34
Diagonal shear cracks at P1. Vertical cracks in P5
Shear and diagonal tension
6(c)
0.65
Scissor cracks over east wall
Mixed compression and shear
6(d)
0.73
Combination of vertical, horizontal, and radial cracks at the eastward wall
Global/local rocking and shear
6(e)Figure 5
The pattern of quasistatic loading protocol.Figure 6
Crack patterns at different drift levels for the intact building (note: P stands for pier).
(a)
At 0.093% story drift
(b)
At 0.16% story drift
(c)
At 0.34% story drift
(d)
At 0.65% story drift
(e)
At 0.73% story driftFigure 7
Diagonal shear cracks in pier 1 corresponding to story drift of 0.34%.Figure 8
Diagonal shear cracks showing a scissor pattern corresponding to story drift of 0.73%.Figure 9
Diagonal shear cracks in pier 2 corresponding to story drift of 0.73%.Figure 10
Cracking of toe in pier 1 corresponding to story drift of 0.73%.Figure 11
Combination of flexure and shear cracks in the out-of-plan wall corresponding to story drift of 0.65%.Figure 12
Line shows the crack appeared in the slab.


## 2.1. Design and Construction of Building Model

A full-scale model shown in Figure1 was constructed for this study. The model resembles a typical interior room in a single story building in the local area. The model was constructed on the strong floor of the Earthquake Engineering Center at the University of Engineering and Technology Peshawar, Pakistan.Figure 1
(a) A picture of the building model, (b) plan and elevation view details of full-scale building model, and (c) location of the hydraulic jacks in the tested building.
(a)
(b)
(c)The interior dimensions of the room model were 3048 × 3658 mm (10 × 12 ft) and 229 mm (9 inches) thick; walls were made using 1 : 5 cement-sand mortar with clay brick masonry in English bond pattern, which is the typical construction method in Pakistan. The brick dimensions were 216 mm × 102 mm × 70 mm. To avoid the formation of continuous vertical joints bricks were laid in a staggered manner (see Figure1(a)). The in-plane walls that were connected to the foundation and the roof slab mainly resisted the lateral forces. The confining elements provided the lateral confinement to the walls. Connection of walls with confining columns was achieved through toothing. The model building was constructed over a 305 mm (12 inches) thick reinforced concrete (RC) pad that was connected to the strong floor via bolts. 76.2 mm (3 in) toothing was spared in every layer of masonry at the four corners and around each opening of the room which was later filled with (1 : 2 : 4) concrete. The filling was done in 3 layers with sufficient rodding to achieve the compaction. Each confining tie column was reinforced with 4 #4 (12 mm-dia) bars tied by #3 (9.5 mm-dia) stirrups at 9′′ (229 mm) c/c. Lintel beams having a size of 152 mm × 229 mm (6 × 9 in) were casted over all the openings. The beam was reinforced with 2 #4 (12 mm-dia) bars in tension and 2 #4 (12 mm-dia) bars as hangers and was tied by #3 (9.5 mm-dia) stirrups at 152 mm (6 in) c/c spacing. Reinforced concrete slab having a thickness of 152 mm (6 in) was casted over the model. The slab was reinforced in both directions with #4 (12 mm-dia) bars spaced at 229 mm (9 in) center to center. 343 mm (13.5 in) thick masonry walls having a height of 762 mm (2.5 ft) were constructed over the slab that accounts for the dead load in vertical direction over the roof of the building from the adjacent parts of it. In order to take the effect of the roof treatment, a 381 mm (15 in) thick sand layer was spread over all the roof of the building. Lateral loading was applied through two hydraulic jacks that were fixed against the strong wall on the side of room model with no openings (see Figure 1(b)). To study the flange effect, a window was also provided in one of the out-of-plane walls.Compressive strength and modulus of elasticity of masonry were determined through test conducted on masonry prisms, 457 mm long × 457 mm high × 229 mm thick (18 × 18 × 9 inches) according to ASTM C1314[2012], as shown in Figure 2. Tensile strength was determined from diagonal compression test on masonry prisms that were also 457 mm long × 457 mm high × 229 mm thick (18 × 18 × 9 inches), as shown in Figure 3. The low diagonal strength of the masonry indicated the weak bond between the mortar and the brick unit.Figure 2
Compressive strength test of a masonry prism.Figure 3
Diagonal compressive strength test of a masonry specimen.ASTM C109/C109M [2013] was used to determine the compressive strength of mortar. The 1 : 5 cement-sand mortar used in this study was based on the local construction practice in Pakistan for solid brick masonry. Various material properties determined through tests are summarized in Table 1.Table 1
Material properties.
Symbol
Description
Value
-
Water absorption of bricks (%)
24.37
f
b
Masonry unit compressive strength (MPa)
14.40
f
b
t
Modulus of rupture (MPa)
3.38
f
m
′
o
Compressive strength of mortar (MPa)
5.63
f
m
′
Compressive strength of masonry (MPa)
3.51
E
m
Elastic modulus of masonry (MPa)
1227.0
f
t
u
Diagonal tensile strength of masonry (MPa)
0.046
C
Cohesion
2.73


## 2.2. Test Setup and Testing Procedure

The lateral loading was applied on the full-scale room model through two hydraulic jacks that were attached to the slab on the east side of building. The capacity of each loading jack was 200 kN (45 kips). This arrangement is shown in Figure1. The model was fixed to the strong floor via posttensioning bolts.In the push direction, bearing through the loading shoes was the means of applying the force to the building. For the pull direction, rods were placed above and below the slab starting from the out-of-plane east wall and ending at the out-of-plane west wall. Bolts were fastened at both ends to fix the rods at their position. The loading arrangement is shown in Figure1(c).To measure displacements, 12 linear variable displacement transducers (LVDT) were used; the arrangement is presented in Figure4. Gauge 01 was the control gauge, which was used to record the in-plane displacement at the middle center of the slab. Gauges 02–05 were used to measure the twisting of the structure. The displacement at the top of the piers was measured with gauges 06–10. Gauges 11 and 12 were used to determine the possible vertical displacement due to global rocking of the building.Figure 4
Location of LVDTs on the full-scale building model.
(a)
Plan view
(b)
Southeast view
(c)
Northwest viewThe dead load stresses on the north wall (i.e., pier 01 and pier 02 according to Figure4) and the south wall (i.e., pier 03, pier 04, and pier 05) were calculated as 0.14 and 0.12 MPa, respectively. The dead load values could be easily compared to material properties given in Table 1.The model was subjected to increasing reversed quasistatic loading cycles at the roof level with each cycle being repeated three times (see Figure5). The test was performed according to the force controlled environment. The test was started from the lateral load of 58.9 kN (6 tons) and it lasted at the load value of 258.96 kN (26 Tons). The load was amplified with an increment of 2 tons in each successive cycle, which makes ten load cycles. During the first load cycle of 58.9 kN (6 tons), corresponding to the story drift of 0.0018% no crack was observed. Under load cycles from 78.5 kN (8 tons) to 137.3 kN (14 tons) of force no cracks were seen. The earthquake force is always deterministic, so to simulate it with our testing facility the load was therefore increased from 137.3 kN (14 tons) to 176.5 kN (18 tons) so that the cracks may be observed. For better understanding, the data was plotted for drift cycles that were obtained for each corresponding load cycle. All the drift cycles are indicated in Table 2. The noise filter was applied to the raw data obtained from data acquisition system using a three- (3-) point moving average method. The filtered data was then used to plot the hysteresis curves and to determine other parameters such as the displacement ductility, response modification factor, and torsion effects as presented in the following sections. During each displacement cycle, structure was monitored carefully in addition to inspections between the cycles. The test was stopped when sufficient cracking observed in the structure as shown in Figures 6–12.Table 2
Description of damage progression for the original building.
Story drift (%)
Damage description
Governing failure mode
Referenced figure
0.093
Diagonal hairline cracks at lintel level of P1, P2, P3 & P5
Shear
6(a)
0.16
Diagonal cracks passing through P1. At P2 & P5 diagonal cracks starting from the base and ending at the window
Rocking and vertical splitting
6(b)
0.34
Diagonal shear cracks at P1. Vertical cracks in P5
Shear and diagonal tension
6(c)
0.65
Scissor cracks over east wall
Mixed compression and shear
6(d)
0.73
Combination of vertical, horizontal, and radial cracks at the eastward wall
Global/local rocking and shear
6(e)Figure 5
The pattern of quasistatic loading protocol.Figure 6
Crack patterns at different drift levels for the intact building (note: P stands for pier).
(a)
At 0.093% story drift
(b)
At 0.16% story drift
(c)
At 0.34% story drift
(d)
At 0.65% story drift
(e)
At 0.73% story driftFigure 7
Diagonal shear cracks in pier 1 corresponding to story drift of 0.34%.Figure 8
Diagonal shear cracks showing a scissor pattern corresponding to story drift of 0.73%.Figure 9
Diagonal shear cracks in pier 2 corresponding to story drift of 0.73%.Figure 10
Cracking of toe in pier 1 corresponding to story drift of 0.73%.Figure 11
Combination of flexure and shear cracks in the out-of-plan wall corresponding to story drift of 0.65%.Figure 12
Line shows the crack appeared in the slab.


## 3. Observed Damage

Figure6 shows the crack patterns for the room model with increasing story drifts, and the qualitative summary for that is given in Table 2. During the first load cycle of 59.76 kN (6 tons) corresponding to the story drift of 0.0018% no crack was observed which shows that the model was strong enough to resist the applied load robustly without any crack propagation. Under load cycles from 79.68 to 139.44 kN (8 to 14 tons), no cracks were seen which shows the increased resistance of the brick masonry due to the confinement. Hence, it shows that confinement causes increase in the lateral load carrying capacity of the brick masonry building. The earthquake force is always indeterministic, so to simulate it with our testing facility the load was therefore been increased from 139.44 to 179.28 kN (14 to 18 tons) so that the cracks may be observed. At a force of 179.28 kN (18 tons) corresponding to a story drift of 0.093%, Diagonal hair line cracks appeared in the lower left corner of pier 2 and started propagating towards the lintel beam. Similar diagonal crack appeared in the upper right corner of pier 1 and started propagating towards the toe of pier 1. During the reverse cycle, diagonal hairline cracks started appearing at the lower right corner of pier 2 and started propagating upward and vice versa for pier 1. No crack appeared in pier 4 whereas diagonal cracks appeared in piers 3 and 5.At a load of 199.2 kN (20 tons) corresponding to a story drift of 0.16%, hair line cracks appeared at the center of pier 2 above the sill level which started propagating towards the lintel beam thereby showing that the cracks are of shear nature that exceeded the tensile strength of masonry. Moreover, such cracks likely appeared in the center of pier 2 and extended towards the tie columns.At a load of 219.12 kN (22 tons) corresponding to a story drift of 0.34%, the diagonal shear cracks become wider and propagate through the lintel beam in pier 2. Cracks also started appearing in the right toe of pier 1 during the positive cycle and propagated upward. Similarly, during the reverse cycle, scissor like cracks appeared in pier 1. In the southern wall, the shear cracks also started appearing near the foundation pad and below the sill levels.At a load of 258.96 kN (26 tons) corresponding to a story drift of 0.73%, both of the tie columns of the strong wall cracked at the middle because of flexure stresses. The cracks in pier 1 of the northern wall widened up to 3 inches, which makes it yielded showing the phenomenon of toe crushing. The diagonal shear cracks in pier 2 propagated through the slab such that the slab crumbled. The test was stopped and the crack pattern was then observed carefully. In Figures7–12, stair stepped cracks and cracks passing through the solid bricks are seen at drift level of 0.73%.


## 4. Force-Deformation Behavior

Figures13 and 14 show the force-deformation response of the CBM building for hysteresis and envelope curves, respectively, obtained from gauges 06–10. Story drift ratio defined as “the ratio of the lateral displacement of story to the height of story’’ is used here to indicate the lateral deformation. As a sign convention, the push direction was taken as positive and vice versa. Envelop curves are drawn by joining the points of maximum positive and negative loads in each cycle. Tangent stiffness decreases with increasing displacements and became very small at 0.20% story drift. The structure reached its maximum resistance at 0.65% story drift, after which the strength degradation initiated at a slow pace. The gradual degradation of the structure began beyond the story drift of 0.65% of peak resistance. The test was stopped when the resistance decreased to 89% of the maximum loading corresponding to 0.70% story drift (200.7 kN).Figure 13
Hysteresis loop of CBM building.Figure 14
Envelop curves for CBM building.An idealized bilinear curve was made by the average of the force-deformation envelope curves in both the positive and negative directions. Based on equal energy principle, a method proposed by Magenes and Calvi [18] was used to develop an elastoplastic curve. From the average backbone curve shown in Figure 15, the maximum load, Vu, was approximated as Vu=0.9Vmax. The effective stiffness, Keff, was taken as the ratio of 0.75Vu to the corresponding displacement in the envelope curve. The yield displacement was then calculated as Δy =Vu/Keff. The ultimate displacement was taken at a point corresponding to 0.8Vu in the envelope curve. The displacement ductility denoted by μD was then found as the ratio of the ultimate to the yield displacement; that is,(1)μD=ΔuΔy.From Figure 15, the ultimate and yield story drifts for the room model were found to be 0.772% and 0.051%, respectively. The displacement ductility is thus found as 0.772/0.051 = 15.13. Response modification factor, R, which can be defined as one of the seismic design parameters to consider nonlinear performance of building structures during strong earthquake and relying on this, many seismic design codes led to reduce loads. Similarly, for seismic design, it is important to estimate, maximum lateral displacement of structures due to sever earthquakes for several reasons. Seismic design provisions estimate the maximum roof and story drifts occurring in major earthquakes by amplifying the drifts obtained by elastic analysis with a displacement amplification factor Cd. Both the parameters are obtained from the following relations:(2)R=2μD-1Cd=μD2μD-1.Using (2), one finds the values of R and Cd as 5.41 and 2.79, for the original building.Figure 15
Bilinear curve of CBM building.As mentioned earlier, the model building was fabricated to represent a typical masonry construction in northern areas of Pakistan. A comparison of the study can, therefore, be made with other studies, which investigated a similar type of construction. In this context, the results of the room model presented in this study are compared to sour(4) other studies. Comparison is made to those of Shahzada et al. [15], who studied a similar building configuration, which, however, was made of unconfined and unreinforced brick masonry. Similarly, for the same retrofitted building, the results are compared to those of Ashraf [16], who studied the retrofitting of the same unconfined brick masonry building. Another comparison was made for the building tested before and after retrofitting, by Zeeshan et al. [17], who studied a similar building configuration, which, however, was made of concrete block masonry rather than brick masonry. Table 3 compares the stiffness, strength, and ultimate drift obtained of these four (4) studies with ours.Table 3
Change in force deformation parameters and comparison with results of Shahzada et al. [15], Ashraf [16], and Zeeshan et al. [17].
Force deformation parameters
Unreinforced brick masonry [15]
URCBM before retrofitting [17]
Unreinforced brick masonry after retrofitting [16]
URCBM after retrofitting [17]
Confined brick masonry
Lateral stiffness (KN/mm)
73.8
62.8
168.9
154.11
122.02
Lateral strength (kN)
106.3
106.8
220.3
219.96
258.96
Ultimate drift (%)
0.5
0.55
0.37
0.37
0.73


## 5. Torsional Effects

To avoid any torsion in the building, an attempt was made in design of model to keep the lateral stiffness of both in-plane walls the same. However, two out-of-plane gauges (numbers 04 and 05) were installed, to record any possible torsion. The diaphragm rotation was measured as the sum of the displacement recorded by these two gauges divided by the distance between them. The rotation as a function of story drift is shown in Figure16. The maximum rotation was 0.0044 for the CBM building. Positive direction rotation was smaller than the negative direction. We see that the symmetrical conception of rigidity has succeeded. However, the increasing levels of asymmetry were associated with the increasing level of damage (due to unequal loss of rigidity in the walls), which resulted in torsional effects.Figure 16
Effect of torsion produced in the form of diaphragm rotation in nonretrofitted block masonry building.


## 6. Summary and Conclusions

The following conclusions are made based on the experiments and ensuing calculations.(1)
The test results reveal that the confined brick masonry is more robust and ductile against the seismic forces because of the confining elements that hold the whole model to act as single mass unit.(2)
Confinement of the brick masonry is an effective technique in improving the seismic performance of unreinforced brick masonry structures.(3)
By confinement, the brick masonry of the lateral strength of the model structure is doubled in this research study as compared to the unconfined brick masonry tested by Shahzada et al.(4)
The cost of the confined brick masonry construction is 50% more than that of the unconfined brick masonry construction in this research studies.(5)
The effective stiffness,Keff, for the CBM building is 122.03 kN/mm which is 65% more than unconfined brick masonry (73.8 kN/mm) and 94.3% more than unconfined concrete block masonry (62.8 kN/mm).(6)
The lateral load capacity of the CBM structure is 258.96 kN which was more than all of the unconfined brick masonry and concrete block masonry before and after the retrofitting.(7)
Displacement ductility,μD, response modification factor, R, and displacement amplification factor, Cd, were calculated from the idealized bilinear curves for CBM building. The values of μD, R, and Cd were obtained as 15.31, 5.41, and 2.79, respectively. These values are recommended for consideration in development of seismic design guidelines.However, it should be noted that above-mentioned findings and conclusions cannot be generalized and hence refer to only one experimental test.



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