Journal of Structural Engineering Vol. 44, No. 6, February - March 2018 pp. 663-672
No. 44-65
Seismic performance of multi-storey rc smrf and omrf buildings A.K. Mapari*, and Y.M. Ghugal* Email:
[email protected]
*Applied Mechanics Department, Government College of Engineering, Karad - 415 124, India Received: 27 March 2017; Accepted: 24 August 2017
Reinforced concrete moment resisting frames are one of the widely used lateral load resisting systems. Special moment resisting frames (SMRFs) are known for its enhanced ductility capacity and used for the same in high seismic risk zones. In this study, performance assessment of multi-storey RC special moment resisting frames (SMRFs) and ordinary moment resisting frames (OMRFs) is presented to compare the base shear capacity and ductility of the buildings using SAP2000 software. The nonlinear static analysis i.e. pushover analysis is adopted for studying the behaviour of SMRFs and OMRFs. The effect of infill walls are also taken into account in terms of base shear and roof displacement. The buildings response reduction factors are obtained from the capacity curves obtained for each modelled building by studying its behaviour parameters such as overstrength factor and ductility reduction factor. The FEMA P695 methodology is used to calculate response reduction factors. Keywords: SMRF; OMRF; infill; pushover analysis; capacity curve; ductility; overstrength; response reduction factor.
In construction practices, among all the lateral load resisting systems, moment resisting frames are usually adopted over shear wall, bracings, etc. in reinforced concrete construction to provide the buildings architectural appeal and open spaces. Moment resisting frames are classified in two types such as Ordinary Moment Resisting Frames (OMRFs) and Special Moment Resisting Frames (SMRFs). SMRFs are the frames with special proportioning and detailing requirements lead to resist strong earthquake shaking without significant loss of stiffness or strength. These frames exhibit better performance in seismic events than OMRFs. When RC moment frames are selected for buildings, special moment resisting frames are assigned for the buildings in zones with high seismic risk, and the ordinary moment resisting frames are assigned to relatively low seismic risk zone. In moment resisting frames, special detailing promoting ductile failure modes lead to enhanced seismic performance. Generally, infill walls are not considered in analysis and design of RC frame buildings. They are assumed not to carry any vertical or lateral forces and alsoconsidered
not to transfer any forces between beams and columns that are generated in buildings during earthquake event, therefore known as non-structural elements. However, the brick infill walls in RC moment resisting frame buildings contribute significant strength and stiffness. It is noticed that the enhanced strength and stiffness of infill wall until they crack, alters the course of nonlinear response and also seen that infill walls reduce the maximum displacement and member ductility demand significantly1. It is explained that brick infill is responsible for withstanding strong seismic events in the past in case of many low-rise RC frame buildings without formal engineering design2. It is seen that the masonry infillscontribute significant lateral stiffness, strength, overall ductility and energy dissipation capacity. It is documented that average initial stiffness of infilled RC frame is about 4.3 times that of bare frame when masonry is unreinforced, and about 4 times that of bare frame when masonry is reinforced. On an average, unreinforced masonry infilled frames have about 70% higher strength than the bare frames; the value is about Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
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50% higher in case of reinforced masonry infilled frames. The average energy dissipation in unreinforced infill frames is about 22% higher than that in the reinforced infill frames3. Linear static or dynamic analysis does not accurately represent the actual behaviour of structures during strong seismic event as structures behave nonlinearly. So, the nonlinear analysis is important in obtaining accurate structural behaviour during strong seismic motion. Though the nonlinear analysis has become popular due to availability of ample number of analysis softwares with nonlinear capabilities such as SAP 20004, etc., the various non-linear static methods may lead to either significant overestimation or underestimation of the peak roof displacements5. It has been seen that buildings gave poor performances as height goes on increasing, though no collapse was noticed during non-linear analysis. It is concluded that it was due height-invarient or periodinvarient R factor assigned by the codes6. A profound knowledge of structural behaviour, geometric and material nonlinearities and also failure mechanisms is required to perform elaborate nonlinear analysis. Such elaborate and sophisticated analysis level for designing structures can’t be adopted in construction practices unless designing a special structure. To overcome this situation, use of moment resisting frames through lower design forces is encouraged by the design codes all over the world to gain more economical designs. For this, response reduction factors are used to arrive at economical and safe design accepting inelastic deformations and permanent damage to building. It has been seen that increasing the R factor from 4 to 5 reduces the design force and potentially the cost of building, up to about7 25%. On the other hand, restricting the R valuesis necessary to prevent excessive inelastic deformationsand loss of life, particularly in the event of a major earthquake. It has been shown that the buildings, which are properly designed and constructed as per the Indian standards for the gravity loads only, can generally survive a seismic excitation up to Maximum Considered Earthquake (MCE) of the zone IV without collapse. The buildings designed as OMRF or as SMRF, as per the Indian standards, satisfy the immediate occupancy performance level, even for maximum considered earthquake8. So, the actual value of response reduction 664
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
factor should be calculated for design of seismic resistant buildings. In this paper, a comparative study of seismic performance of SMRFs and OMRFs in terms of base shear and ductility demand is presented considering the effect of bare frame and masonry infilled wall frames by performing nonlinear static analysis i.e., pushover analysis. Response reduction factors are also evaluated for each building considered. EVALUATION OF SEISMIC RESPONSE REDUCTION FACTOR Response reduction factor, R also called as behaviour factor9, response modifacation factor10,11, etc. is a force reduction factor used to obtain the inelastic response reducing the linear elastic response of structure. FEMA P69512 describes the process for evaluating the performance of a proposed seismic-force-resisting system, assessing the acceptability of a trial value of the response modification coefficient, R and determining appropriate values of the system overstrength factor (Ω0), and the deflection amplification factor (Cd). Performance evaluation is based on the results of nonlinear static and dynamic analyses conducted. It requires judgment in interpreting analytical results, assessing uncertainty, and rounding of values for design. It has been seen that the ductility demand of structure increases as it pushed towards plastic range13. FEMA 36911 commentary gives elaborate procedure to derive the response reduction factor from bilinear elastic plastic capacity curve obtained from pushover analysis of structure. It should be noted that the structural overstreng this the result of the development of sequential plastic hinging in a properly designed, redundant structure. Several other sources also increase structural overstrength. First, material overstrength as actual material strengths is higher than the nominal material strengths specified in the design (e.g. yield strength of Fe415 is usually greater than 415 MPa). Second, designers themselves introduce additional overstrength by selecting sections or specifying reinforcing patterns that exceed those required by the design calculation. Similar situations occur when minimum requirements given in design codes control the design (i.e. minimum reinforcement ratios). Finally, the design of many flexible structural systems, such as moment resisting frames, are often controlled by
the drift rather than strength limitations as suggested by the codes with sections selected to control lateral deformations rather than providing the specified strength. Thus, structures typically have a much higher lateral resistance than specified as a minimum by the codes. As the structure begins to yield and deform inelastically, the effective period of response of the structure tends to lengthen, which for many structures, results in a reduction in strength demand. Furthermore, the inelastic action results in a significant amount of energy dissipation, also known as hysteretic damping, in addition to the viscous damping. The combined effect, which is also known as the ductility reduction, explains why a properly designed structure with a fully yielded strength (Vy, in Fig. 1) that is significantly lower than the elastic seismic force demand (VE in Fig. 1) can be capable of providing satisfactory performance under the design ground motion excitations. Base shear VE
Actual response
Vy
Idealised response
Vs O
∆s
∆y
∆max
Displacement
Fig. 1 Typical capacity curve for evaluating R factor
The response reduction factor depends on ductility and overstrength of structure and the response reduction factor (R) is obtained by taking product of structural overstrength factor (Ω0) and ductility reduction factor (Rd). Again, these structural overstrength factor and ductility reduction factors are gained from observing the bilinear elastic perfectly plastic capacity curve (Fig. 1) and using following formulae:
Ω0 =
Rd =
Vy
(1)
VE Vy
(2)
Vs
Vy VE VE = (3) Vs Vy Vs Thus, the response reduction factor, R represents the ratio of the base shear that would have developed in structure had it remained entirely linear and elastic throughout the seismic ground motion to the base shear at first significant yield point. The value of R is always greater than 1.
R = Ω0 Rd =
BUILDING DETAILS A total 16 space frames are considered by varying height and type of frame i.e. special moment resisting frame and ordinary moment resisting frame. The detailed description of all selected frames is given in Table 1. The storey height is kept 3.5m and the bay width in both longitudinal as well as in transverse direction is kept 3m. The cross-section of beam is considered as 300mm × 500mm and the cross-section for column is considered as 400mm × 400mm. The response reduction factor for SMRF is 5 and for OMRF is 3 as per IS 1893 ( Part 1 ):200214. Plan for all models is kept same which is 18m × 12m with 6 bays in longitudinal direction and 4 bays in transverse direction (Fig. 2). Fixed supports are considered for all the models in study. For convenient result presentation, suitable designations are given to the frames. For example, 6S-SMRF-BF denotes six storey special moment resisting bare frame and 4S-OMRF-IF denotes four storey ordinary moment resisting frame with infill wall. Figures 3 and 4 shows typical elevation of 8 storey bare and infilled building in x and y direction respectively. Material properties and geometric parameters assumed in this study are given in Table 2. Also, the seismic design data assumed for the study are given in Table 3. MODELLING AND ANALYSIS The modelling of selected frames is done in SAP 20004. The building frames are first analyzed by response spectrum method i.e. linear dynamic analysis method and designed for it. For each analyzed frame, the design base shear (VB) obtained from response spectrum analysis is compared with the base shear (V’B) calculated using a fundamental time period Ta given in clause 7.6 IS 1893: 200214 for corresponding building modelled and the values of base shear obtained by response spectrum are then corrected by modified scale Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
665
factor with the help of correction factor V’B/VB. Table 1 Details of building models
pushed until a collapse mechanism is developed. With the increase in the magnitude of loads, weak links and failure modes of the building are found. Table 3
Frame name
No. of storey
R
Frame
Type
Support conditions
4S-OMRF-BF
4
3
OMRF
Bare
Fixed
No.
6S-OMRF-BF
6
3
OMRF
Bare
Fixed
1
Seismic zone
8S-OMRF-BF
8
3
OMRF
Bare
Fixed
2
Zone factor
10S-OMRF-BF
10
3
OMRF
Bare
Fixed
3
Response reduction factor for SMRF
5
4S-SMRF-BF
4
5
SMRF
Bare
Fixed
4
Response reduction factor for OMRF
3
6S-SMRF-BF
6
5
SMRF
Bare
Fixed
5
Importance factor
1
8S-SMRF-BF
8
5
SMRF
Bare
Fixed
10S-SMRF-BF
10
5
SMRF
Bare
Fixed
6
Soil type
4S-OMRF-IF
4
3
OMRF
Infill
Fixed
6S-OMRF-IF
6
3
OMRF
Infill
Fixed
8S-OMRF-IF
8
3
OMRF
Infill
Fixed
10S-OMRF-IF
10
3
OMRF
Infill
Fixed
4S-SMRF-IF
4
5
SMRF
Infill
Fixed
6S-SMRF-IF
6
5
SMRF
Infill
Fixed
8S-SMRF-IF
8
5
SMRF
Infill
Fixed
10S-SMRF-IF
10
5
SMRF
Infill
Fixed
Table 2 Material properties and geometric parameters No.
Parameter
Value
1
Unit weight of concrete
25 kN/m3
2
Unit weight of masonry wall
18 kN/m3
3
Characteristic strength of concrete
25 MPa
4
Characteristic strength of steel
415 MPa
5
Damping ratio
5%
6
Slab thickness
150 mm
7
Wall thickness
230 mm
8
Modulus of elasticity of concrete
25000 MPa
9
Modulus of elasticity of infill wall
2482.2 MPa
Structures vibrating at fundamental modes, pushover analysis provides good estimates of global, as well as local inelastic, deformation demands15. Performance assessment of the designed frames is carried out using pushover analysis. Pushover analysis is a static nonlinear procedure to analyze a building where loading is incrementally increased with a certain predefined pattern (i.e., inverted triangular or uniform). Local non-linear effects are modelled and structure is 666
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
Design seismic data14 Parameter
Value V 0.36
Medium soil
Beams and columns are modelled as frame elements available in SAP20004, with lines joined at nodes. The floor slabs are assumed to act as diaphragms, which ensure integral action of all the vertical lateral loadresisting elements. The weight of slab and slab loads are distributed as triangular and trapezoidal load to surrounding beams as per IS 456: 200016. Auto hinge property of SAP20004 is used to introduce hinges in beams and columns to behave nonlinearly. Infill walls are modelled as equivalent diagonal strut10,17. Strut width by Mainstone17 or FEMA 35610 model is given as follows:
w = 0.175 ( λ1H )
−0.4
Ldiag
(4)
In which 0.25
E t sin 2θ (5) λ1 = m inf 4 Ec I col hinf The modulus of elasticity of infill wall given by Kaushik, et al.18 is used in this study. It is calculated as follows:
Em = 550fm f m = 0.433 fb 0.64 f mo 0.36 �
(6) (7)
RESULTS AND DISCUSSIONS The capacity curves for the 4-storey, 6-storey, 8-storey and 10-storey buildings designed for both SMRF and OMRF in x-direction are shown in Figs. 2-5 respectively. Similar curves in y-direction are shown in Figs. 6-9 respectively. The figures describe the
8000 6000
4S OMRF BF
5000
4S SMRF BF
10000
0 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
Roof displacement (mm)
Fig. 5 Capacity curve for 10 storey in x-direction
1000
7000 0 20 40 60 80 100 120140160 180 200 220 240 260
6000
Roof displacement (mm)
Base shear (kN)
Fig. 2 Capacity curve for 4 storey in x-direction 9000 8000
6S OMRF BF 6S SMRF BF
6000
4S SMRF BF
4000
4S OMRF IF
2000
0
6S SMRF IF
4000
4S SMRF IF
3000
1000
6S OMRF IF
5000
4S OMRF BF
5000
3000
Roof displacement (mm)
2000
Fig. 6 Capacity curve for 4 storey in y-direction
1000 0 30 60 90 120 150 180 210 240 270 300 330 360 390 420 450 480
Table 4 Performance Comparison of OMRF and SMRF Bare Frame Buildings in x direction Base shear (kN)
10000 9000 Base shear (kN)
8000
8S OMRF BF
7000
Storey
OMRF SMRF
8S SMRF BF
6000
8S OMRF IF
5000
8S SMRF IF
4000 3000 2000 1000 0
Displacement (mm)
OMRF SMRF
displacement in SMRF
Fig. 3 Capacity curve for 6 storey in x-direction
% Increase in roof
Roof displacement (mm)
% Decrease in base shear in smrf
Base shear (kN)
7000
0
10S SMRF IF
2000
2000 0
10S OMRF IF
4000
4S SMRF IF
3000
10S SMRF BF
6000
4S OMRF IF
4000
10S OMRF BF
8000
0 20 40 60 80 100 120 140 160 180 200 220 240 260 280
Base shear (kN)
7000
12000
Base shear (kN)
nonlinear behaviour of buildings subjected to seismic force considering P-delta effect. Figures 2-9 show seismic behaviour of buildings considering the effect of bare frame and infill walls showing increased stiffness in case of infilled frames.
4
4348
2617
39.8
200
275
27.3
6
6132
3571
41.8
260
490
46.9
8
6670
3852
42.3
475
650
26.9
10
6678
3860
42.2
500
725
31.0
0 50 100 150 200 250 300 350 400 450 500 550 600 650 700
The seismic response of special moment resisting bare frame buildings is compared to ordinary moment resisting bare frame buildings with fixed supports. Tables 4 and 5 shows the seismic performance comparison
Roof displacement (mm)
Fig. 4 Capacity curve for 8 storey in x-direction
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
667
8000 7000 Base shear (kN)
regarding the capacity of OMRF and SMRF bare frames to resist base shear and the maximum amount of roof displacement these can undergo in both x and y-directions. Similarly, Tables 6 and 7 describe seismic performance comparison between OMRF and SMRF infilled frames considering the base shear these can resist and roof displacement these can undergo. The tables also show the decrease in base shear and increase in displacements of SMRFs compared to OMRFs.
6000
8S OMRF BF
5000
8S SMRF BF 8S OMRF IF
4000
8S SMRF IF
3000 2000 0
Performance Comparison of OMRF and SMRF Bare Frame Buildings in y direction
4
4341
2596
40.2
230
285
19.3
6
5796
3343
42.3
330
580
43.1
8
5556
3198
42.4
475
750
36.7
10
5531
3133
43.3
525
700
25.0
OMRF
SMRF
SMRF
% Increase in roof displacement in SMRF
OMRF
Fig. 8 Capacity curve for 8 storey in y-direction
8000 7000 5000
10S SMRF BF
4000
10S OMRF IF 10S SMRF IF
3000 2000
8000
1000
7000
0 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
6S OMRF BF
6000
6S SMRF BF
5000
6S OMRF IF
4000
6S SMRF IF
3000
Roof displacement (mm) Fig. 9 Capacity curve for 10 storey in y-direction Table 6
2000
Performance Comparison of OMRF and SMRF Infilled Frame Buildings in x direction
1000
Base shear (kN)
0 40 80 120 160 200 240 280 320 360 400 440 480 520 560
0 Roof displacement (mm) Fig. 7 Capacity curve for 6 storey in y-direction
The seismic response comparison between bare frames and infilled frames is presented in Tables 8 to 11. A significant increase in base shear and decrease in roof displacement is noticed in infilled frames as compared to bare frames. It shows the increase in initial stiffness in infilled frames as compared to bare frames. 668
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
Storey
OMRF SMRF
Displacement (mm)
OMRF SMRF
% Increase in roof displacement in SMRF
Base shear (kN)
10S OMRF BF
6000
% Decrease in base shear in SMRF
Storey
Roof displacement (mm)
Base shear (kN)
Displacement (mm)
% Decrease in base shear in SMRF
Base shear (kN)
0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
1000 Table 5
4
7362
7209
2.1
80
90
11.1
6
8311
7147
14.0
110
130
15.4
8
8880
6704
24.5
160
190
15.8
10
9687
7821
19.3
230
270
14.8
Table 7
Table 10
Performance Comparison of OMRF and SMRF Infilled Frame Buildings in y direction
Performance Comparison of Ordinary Moment Resisting Bare Frames and Infilled Frames in x direction Displacement (mm)
Infilled
% Increase in base shear in infilled frame
Base shear (kN)
% Decrease in roof displacement in infilled frame
Displacement (mm) % Increase in roof displacement in SMRF
Storey
% Decrease in base shear in SMRF
Base shear (kN)
Bare
4
6280
5703
9.2
90
100
10.0
6
6883
5968
13.3
120
160
25.0
4
4348
7362
40.9
200
80
60.0
8
6941
5314
23.4
170
210
19.0
6
6132
8311
26.2
260
110
57.7
10
7473
6031
19.3
270
300
10.0
8
6670
8880
24.9
475
160
66.3
10
6678
9687
31.1
500
230
54.0
OMRF
SMRF
OMRF
SMRF
Storey
Bare
Infilled
Table 8
4
2617
7209
63.7
275
90
67.3
6
3571
7147
50.0
490
130
73.5
8
3852
6704
42.5
650
190
70.8
10
3860
7821
50.6
725
270
62.8
Bare
Infilled
Infilled
% Decrease in roof displacement in infilled frame
Bare
Storey
Table 9 Performance Comparison of Special Moment Resisting Bare Frames and Infilled Frames in y direction
Bare
Infilled
% Decrease in roof displacement in infilled frame
Storey
Displacement (mm)
% Increase in base shear in infilled frame
Base shear (kN)
54.5
285
100
64.9
5968
44.0
580
160
72.4
5314
39.8
750
210
72.0
6031
48.1
700
300
57.1
Bare
Infilled
4
2596
5703
6
3343
8
3198
10
3133
Base shear (kN)
Storey
Displacement (mm)
Bare
Infilled
% Decrease in roof displacement in infilled frame
Displacement (mm)
% Increase in base shear in infilled frame
Base shear (kN)
Table 11 Performance Comparison of Ordinary Moment Resisting Bare Frames and Infilled Frames in y direction
% Increase in base shear in infilled frame
Performance Comparison of Special Moment Resisting Bare Frames and Infilled Frames in x direction
30.9
230
90
60.9
6883
15.8
330
120
63.6
5556
6941
20.0
475
170
64.2
5531
7473
26.0
525
270
48.6
Bare
Infilled
4
4341
6280
6
5796
8 10
The behaviour factors of buildings such as overstrength factor and ductility reduction factor are obtained from the capacity curves of each buildings. From the overstrength and ductility reduction factors, the response reduction factor is calculated using FEMA 36911. The response reduction factors for each building are given in Tables12 and 13. The depending parameters are extracted from the corresponding pushover curve such as VE, VY, and VS and the overstrength factor (Ω0) and ductility reduction factor (Rd) are calculated with the help of Eqs. (1) and (2) respectively. The response reduction factor (R) is then calculated by using Eq. (3).
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
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CONCLUSIONS
Table 12 Response reduction factors (R) of buildings in x direction Rd
Ωo
R, calculated
R (IS 1893: 2000)14
4S-OMRF-BF
5.1
1.1
5.4
3
6S-OMRF-BF
3.1
1.0
3.3
3
8S-OMRF-BF
3.8
1.0
3.9
3
10S-OMRF-BF
3.1
1.1
3.2
3
4S-SMRF-BF
11.0
1.1
12.2
5
6S-SMRF-BF
9.4
1.0
9.8
5
8S-SMRF-BF
9.5
1.0
9.9
5
10S-SMRF-BF
7.6
1.1
8.0
5
4S-OMRF-IF
3.2
1.3
4.2
3
6S-OMRF-IF
2.5
1.4
3.4
3
8S-OMRF-IF
2.4
1.7
4.0
3
10S-OMRF-IF
2.4
1.6
3.7
3
4S-SMRF-IF
4.1
1.6
6.3
5
6S-SMRF-IF
4.3
1.5
6.4
5
8S-SMRF-IF
3.9
1.4
5.7
5
10S-SMRF-IF
3.6
1.5
5.4
5
Building details
Table 13 Response reduction factors (R) of buildings in y direction Rd
Ωo
R, calculated
R (IS 1893: 2000)14
4S-OMRF-BF
4.5
1.1
4.8
3
6S-OMRF-BF
4.1
1.0
4.2
3
8S-OMRF-BF
4.3
1.0
4.5
3
10S-OMRF-BF
3.8
1.0
3.9
3
4S-SMRF-BF
11.1
1.1
12.2
5
6S-SMRF-BF
11.4
1.0
11.9
5
8S-SMRF-BF
11.3
1.0
11.7
5
10S-SMRF-BF
8.6
1.0
9.0
5
4S-OMRF-IF
3.3
1.2
4.1
3
6S-OMRF-IF
2.4
1.1
2.7
3
8S-OMRF-IF
2.4
1.3
3.2
3
10S-OMRF-IF
2.5
1.6
3.9
3
4S-SMRF-IF
4.7
1.6
7.3
5
6S-SMRF-IF
3.9
1.4
5.5
5
8S-SMRF-IF
4.8
1.4
6.9
5
10S-SMRF-IF
4.5
1.3
5.8
5
Building details
670
Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
The performance assessment of buildings with varying storey heights and designed for SMRF and OMRF is presented in this study. The buildings are designed and modelled using SAP20004. The response of these buildings is noticed by performing nonlinear static analysis. A capacity curve with base shear and roof displacement is plotted for each building. From this study following observations are noted: • It has been seen that SMRF buildings attracts 39% to 43% less base shear than OMRF buildings in x direction, where as in y-directions SMRF buildings attracts 40% to 44% less base shear than OMRF buildings. In case of infilled frames, SMRF buildings attracts 2% to 25% and 9% to 24% less base shear than OMRF buildings in x and y directions respectively. • It has also been seen that SMRF buildings in both x and y direction are more ductile than OMRF buildings. The SMRF buildings comprises almost 26% to 47% more ductility in x-direction and 19% to 44% more ductility in y-direction than OMRF buildings. Similarly, in case of infilled frames, roof displacements of SMRF buildings are 11% to 16% and 10% to 25% more than OMRF buildings in x and y directions respectively. Thus, increased ductility of SMRF buildings is observed. • It is noticed that initial stiffness of SMRF frames with infill walls increased drastically than SMRF bare frames as these frames attract much more base shear. It is noted that specially moment resisting infilled frames attract 50% to 64% and 39% to 55% more base shear and undergo 62% to 74% and 57% to 73% less roof displacements than bare frames in x and y directions, respectively. • In case of OMRFs, infilled frames attract 24% to 41% and 20% to 31% more base shear and undergo 54% to 67% and 48% to 65% less roof displacements than bare frames in x and y directions, respectively. • The response reduction factors calculated for SMRF bare frame buildings are found to be much higher than the response reduction factor offered by IS 1893: 200214 which is 5. However, in case of OMRF bare frames buildings these factors are slightly higher than that is offered by IS 1893: 200214 which is 3.
•
In case of infilled frames, the response reduction factors of each building calculated are slightly higher than that is given by IS 1893: 200214 for both the SMRF and OMRF buildings.
It should be noted that there is always variation to some extent in seismic demand prediction acquired by pushover analysis, though it gives a good insight about nonlinear behaviour during the seismic event. For more accurate analysis, the nonlinear dynamic analysis or nonlinear time-history analysis should be adopted. NOTATIONS Em Ec Icol Ldiag VE
VS VY fm fb fmo hcol hinf tinf w
- Elastic modulus of the infill wall (MPa) - Elastic modulus of the frame material (MPa) - Moment of inertia of the section of the column of surrounding frame (mm4) - Length of the diagonal strut (mm) - ultimate base shear that would have developed in the seismic force-resisting system had it remained entirely linear and elastic throughout the seismic event - base shear that is developed in the lateral system at the “first significant-yield point.” - fully yielded inelastic base shear. - Compressive prism strength of masonry (MPa) - Compressive strength of clay brick (MPa) - Compressive strength of mortar (1:6) (MPa) - Height of the column of surrounding frame (mm) - Height of the infill wall panel (mm) - Thickness of the infill wall (mm) - Equivalent diagonal strut width (mm)
REFERENCES 1.
2.
Murty, C. V. R. and Nagar, A., “ Effect of brittle masonry infills on displacement and ductility demand of moment resisting frames”, 11th World Conf. on Earthquake Engng., Acapulco, Mexico, 1996. Jain, S. K., Singh, R. P., Gupta, V. K., and Nagar, A., “Garhwal Earthquake of Oct.20, 1991”, EERI Newsletter, Vol. 26(2), 1992.
3.
Murty, C. V. R. and Jain, S. K., “Beneficial influence of masonry infill walls on seismic performance of rc frame buildings”, 12th World Conf. on Earthquake Engng., Auckland, Newzeland, 2000. 4. Computers and Structures Inc., SAP2000, Integrated Finite element analysis and design of structures, User’s manual, CSI, Berkeley, California, 2010. 5. Goel, R. K., “Evaluation of Current Nonlinear Static Procedures for Reinforced Concrete Buildings”, The 14th World Conf. on Earthquake Engng., Beijing, China, 2008. 6. Al Hamaydeh, M., Abdullah, S., Hamid, A. and Mustapha, A., “ Seismic design factors for RC special moment resisting frames in Dubai, UAE”, Earthquake Engng. and Engng. Vib., Vol. 1, No. 04, 2011, p 495–506. 7. Mwafy, A., “ Assessment of seismic design response factors of concrete wall buildings”, Earthquake Engng. and Engng. Vib., Vol.10, No. 1, 2011, pp 115–127. 8. Haldar, P. and Singh, Y., “ Seismic performance and vulnerability of Indian code-designed RC frame buildings”, ISET Jl. of Earthquake Tech., Vol. 46, No. 1, 2009, pp 29–45 9. Eurocode 8, “Design of structures for earthquake resistance, Part - 1: General Rules”, EN 1998, European Committee for Standardization, Brussels, 2003. 10. FEMA, “Pre-standard and Commentary for the Seismic Rehabilitation of Buildings”, FEMA 356, Federal Emergency Management Agency, Washington, D.C. 2000. 11. FEMA, “NEHRP Provisions for Seismic Regulations for New Buildings and other Structures Part 2: FEMA 369 Commentary”, Building Seismic Safety Council, Washington D.C., 2000. 12. FEMA, “Quantification of building seismic performance factors”, FEMA P695, Federal Emergency Management Agency, Washington, D.C., 2009. 13. Khan, R. A., “Performance Based Seismic Design of Reinforced Concrete Building”, Intl. Jl. of Innovative Res. in Sci., Engng. and Tech., Vol. 3, No. 6, 2014, pp 13495–13506. Journal of Structural Engineering Vol. 44, No. 6, February - March 2018
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14. Criteria for Earthquake Resistant Design of Structures, IS 1893 (Part 1): 2002, Bureau of Indian Standards, New Delhi. 15. Krawinkler, H. and Seneviratna, G. D. P. K., “Pros and Cons of a pushover analysis of seismic performance evaluation”, Engng. Structs., Vol. 20, No. 4-6, 1998, pp 452–464. 16. Indian Standard for Plain and Reinforced Concrete,IS 456: 2000, Bureau of Indian Standards, New Delhi. 17. Mainstone, R. J., ‘‘On the stiffnesses and strengths of infilled frames’’, Proc. of the Institution of Civil Engrs., Vol. 49, No. 2, 1971, pp 57–90. 18. Kaushik, H. B., Rai, D. C. and Jain, S. K., “StressStrain Characteristics of Clay Brick Masonryunder Uniaxial Compression”, Jl. of Mat. in Civ. Engng., Vol. 19, No. 9, 2007, pp 728–739.
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