Asian Journal of Civil Engineering (2021) 22:443–460 https://doi.org/10.1007/s42107-020-00324-1 ORIGINAL PAPER Analysis and seismic retrofitting of unreinforced masonry building: a case study Ishfaq Aziz1 · Raquib Ahsan1 · Md. Shadman Sakib2 · Shamontee Aziz3 · Md. Aminul Islam3 · Mehedi Ahmed Ansary1 Received: 14 July 2020 / Accepted: 2 November 2020 / Published online: 2 January 2021 © Springer Nature Switzerland AG 2021 Abstract Unreinforced masonry structure (URM) consists of a major portion of existing structures in under-developed and developing countries all over the world. Most of these URM structures are non-engineered which usually do not conform to local building codes and would be considered significantly deficient to international standards. So, seismic vulnerability assessment of these URM structures is of major significance. The present paper addresses this issue with a systematic approach to assess and analyze the structural vulnerability of a non-engineered URM building. Consequently, a complete retrofitting design procedure is discussed followed by construction and field implementation. Initially, a detailed engineering assessment of the whole structure was carried out which included site investigation, rigorous laboratory and in-situ tests, and development of a 3D finite element model for structural analysis. Analysis showed that lateral shear stresses of the load-bearing walls were higher than their acceptable limits when subjected to code specified loading. The flexural strengths of the RC beams were also found to be inadequate. As a solution, the beams were retrofitted with U shaped reinforced concrete jackets, while two alternative methods were proposed for the retrofitting of the load-bearing walls based on design requirement viz. Ferrocement overlay (for low stress) and Reinforced Concrete jacketing (for high stress). Stresses under most of the wall strip footings were found to surpass the soil bearing capacity, so retrofitting was done by increasing footing widths to meet the soil’s allowable bearing capacity. Finally, the implementation of the retrofitting design in the actual structure along with the construction procedure has been presented. The present study is expected to provide a comprehensive guideline for engineers to carry out seismic vulnerability assessment, structural retrofitting design, and the procedure of its implementation during field construction in the concerned URM structure. Keywords Unreinforced masonry · Ferro-cement · RC jacketing · Seismic retrofitting Introduction In under-developed and developing countries, masonry structures comprise a good portion of the total buildings built in the twentieth century. In the case of Bangladesh, most of the unreinforced masonry (URM) structures still standing today were built in the pre-independence period * Shamontee Aziz shamontee.aziz1@gmail.com 1 Department of Civil Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh 2 Department of Civil Engineering, University of Asia Pacific, Dhaka, Bangladesh 3 BUET-Japan Institute of Disaster Prevention and Urban Safety, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh (1949–1971). No national seismic code existed during that period. Owing to the tectonic framework and existence of three major active fault lines within the country (Islam et al. 2016) and being one of the most densely populated regions in the world, Bangladesh is in high seismic risk. At present these masonry structures are used as government offices, headquarters, factory units, religious centers, and residential quarters, which increases the risk of damage and casualties in case of a seismic event. So, proper engineering assessment of these structures along with required retrofitting and rehabilitation is a dire need. The load-bearing walls of the unreinforced masonry structures are subjected to both gravity loading and lateral loading. When subjected to strong earthquakes, tensile and shearing stresses in the walls of masonry buildings may cause severe damage to these structures. To reduce damage due to an earthquake, either the seismic capacity of the 13 Vol.:(0123456789) 444 structure needs to be increased by including additional shear walls, infill walls, steel bracing, base isolation devices or by other retrofitting measures (i.e. Ferro-cement, RC overlay, RC jacketing etc.). The primary objective is to increase its seismic resistance to a code specified level (for structures in Bangladesh, the current code is BNBC 2020). One common method of retrofitting of the masonry walls is to apply Ferro-cement lamination composite, which, on infilled masonry, changes the shear dominated failure to flexure failure. The composite’s ductile strength depends on the effective volume fraction, mesh type and its orientation within the matrix (Prawel and Reinhorn 1982). According to the studies by Reinhorn and Prawal (1985) the ferrocement overlay either fails by diagonal tension (ductile) or de-attachment (bond failure). Besides, they found that bond anchors have a dominant effect on the development of this mechanism. Under static cyclic test, retrofitting with ferrocement overlay with wire meshes increased the in-plane lateral resistance by a factor of 1.5 (Abrams and Lynch 2001). Bansal et al. (2008) found that wire mesh in ferrocement oriented at 45° had the highest ultimate capacity compared to other orientations. However, in respect of strength to cost ratio wire mesh having 0° orientation had the most economically efficient outcome. Sen et al. (2019) also observed that an effective mesh reinforcement of 0.16% increased the lateral strength, initial stiffness, and energy dissipation approximately two folds under lateral cyclic loading. A lime base mortar reinforced with a carbon mesh was proposed by Guerreiro et al. (2020) to reinforce masonry wall faces which provided improved mechanical strength and avoided unbalanced strength concentration on walls. Another effective way of increasing the shear strength of the load-bearing walls to the extent that flexural failure consistently occurs is to apply a thin layer of cement plaster over high strength steel reinforcement. This improves the in-plane resistance of shear by a factor of 1.25–2.90 (Jabarov et al. 1980; Sheppard and Tercelj 1980). There are also several case studies reported in professional literature where reinforced plaster coatings were used to strengthen existing masonry structures (Guoliang 1980; Willie and Dean 1975). The out-of-plane resistance is substantially improved as is the composite ductility. The improvement of strength depends on the strengthening layer thickness, cement mortar strength, reinforcement quantity and means of bonding with the retrofitted wall and the degree of masonry damage (ElGawady et al. 2004). Ghiasi et al. (2013) explained different retrofitting options for URM foundation and their applicability from a practical perspective. He adopted two strategies for rehabilitation of the structure: one by physical extension of the existing foundation and the other by the improvement of subsoil layers. Apart from these, there have 13 Asian Journal of Civil Engineering (2021) 22:443–460 been several case studies leading to complete restoration of historical masonry structure based on finite element analysis and laboratory experimental data (Hancilar et al. 2012; Bozkurt et al. 2016; Sayin et al. 2019). Over the years, there have been many studies on different beam retrofitting techniques and the parameters governing post-retrofitted performance. Surface roughness is a vital determinant in retrofitted beam performance level (Cheong and MacAlevey 2000). They observed a significant difference in the behavior of the jacketed beam whose interface was fully and partially roughened. Seleem et al. (2009) evaluated the static response of beams retrofitted with U shaped RC jackets in terms of strength, stiffness, and composite action. The test result indicated a vital effect of the presence of stirrup in the concreting jackets in the enhancement of both stiffness and ultimate load capacity of the retrofitted beam. RC jacketed beams showed significant improvement in flexure capacity and mechanical behavior, compared to ordinary reinforced beams of the same dimension, even though the cores of the jacketed beams were damaged (Altun 2004). Shehata et al. (2009) investigated the impact of the shear stud in strengthening existing beams by adding high strength concrete layers. As per studies by Raval and Dave (2012), the use of shear connectors and bonding agents paired with micro-concrete is much more efficient compared to other jacketing alternatives in enhancing the performance level of beams. Chaturvedi and Patel (2016) observed improved behavior of RC jacketed beams in terms of deflection and strength. Besides, Gorai and Maiti (2016) presented various techniques for strengthening damaged structures. Although the studies conducted by different researchers present various building retrofitting procedures, there is no comprehensive reference on unreinforced masonry structures rehabilitation—covering all the activities from vulnerability assessment, retrofit design, to field implementation with elaborate -construction procedure. To bridge this gap, the paper aims to be a complete reference set to seismic vulnerability assessment, analysis, retrofit design and post-operative appraisal for non-engineered unreinforced masonry structures. Initially, a condition assessment survey was conducted to assess the as-built condition of the structure. The required parameters for Detailed Engineering Assessment (DEA) were determined by conducting in-situ and laboratory tests. Then, finite element analysis of the structure was performed to analyze its response to seismic loading under the current state. Based on the numerical analysis results, laboratory tests and findings of past researches, retrofitting schemes were designed for all the load-bearing members which were found inadequate. Finally, the constructions of the newly retrofitted portions of the whole structure were carried out all of which are explained in this paper. Asian Journal of Civil Engineering (2021) 22:443–460 445 Methodology Building features A visual inspection of an unreinforced masonry building having a plan dimension of 31 m × 10.7 m (102′ × 35′) was carried out to observe its existing condition. The office building was constructed in 1960 and has two parts separated by an expansion joint. Whereas, the northern part of the building is two storied with an identical plan in both the stories, the southern part is four storied (Grid A to C of Fig. 6b). Some building features are summarized in Table 1. Visual observation Initial measurements of the building were taken to prepare as-built drawings. During field survey and assessment of existing condition, various structural members of the building were found in good condition. No visible signs of cracks or distress were found in the beams, load-bearing walls and slabs. However, some of the walls on the ground floor appeared to be moist and the partition walls were found to be deteriorating due to the loss of the mortars’ binding capacity. Figure 1 shows the load-bearing brick columns, which may be susceptible to short column failure under seismic loading. Data collection and testing The concrete’s strength in the existing beams and slabs has been assessed by extracting cylindrical concrete core samples and performing their compressive strength test according to ASTM C42. The diameter of the concrete core sample was 68 mm with minimum length/diameter ratio of 1.0. The core strength test results are summarized in Table 2. Combined failure was obtained in all the cases which represents the failure of both mortar and brick aggregate that was used in the concrete. The compressive strength test on two samples of brick was done as per ASTM C67 and their compressive strengths were found to be 20.75 MPa and 17.51 MPa. Brick shear test (Table 3) was performed on masonry wall to estimate allowable shear strength Fv, which in turn was used to calculate Table 1 Building features of the studied building Fig. 1 Load bearing brick columns allowable compressive stress f’mand modulus of elasticity (Em) of masonry using the proposed equation of Bangladesh National Building Code (BNBC 1993). Minimum shear stress was found to be on the safe side. The compressive strength of masonry and modulus of elasticity of brick were 7.5 MPa and 5625 MPa, respectively. Mortar grade was M2 having mix proportion of 1:4 (BNBC 1993). These values have been used for the structural analysis in the present study. The slab thickness was measured by drilling a small portion of the slab, as shown in Fig. 2. Schematic diagrams of the beams are shown in Fig. 3. The beams, along with the slabs were scanned, using an electro-magnetic rebar scanner, for checking the presence of reinforcement. Scan reports shown in Fig. 4, reveal that the first floor beams (400 mm × 300 mm) have four tension rebars. The second floor beams having a 500 mm × 300 mm cross section, show five rebars in the tension zone. According to the scans, the rebars of the slab were spaced at 150 mm (6″) c/c in both directions. As the determination of rebar diameter using scanner imaging is not quite reliable (Selek 2015), a Building features Description Floor system Floor area Foundation system Load-bearing wall thickness Floor height Construction material Beam supported RC slab 332 m2 (3570 sqft) per floor (northern and southern part together) Wall foundation 375 mm in the ground floor, 250 mm in the other stories Ground floor: 4.47 m (14.66 ft), Other floors: 3.20 m (10.50 ft) Brick masonry with cement mortar and reinforced concrete 13 446 Asian Journal of Civil Engineering (2021) 22:443–460 Table 2 Core strength test results Sl. no Location Sample identification Crushing strength MPa (psi) Type of failure 1 2 3 4 5 6 7 GF GF 1st floor 1st floor 1st floor 1st floor 1st floor GF Roof, C-1 GF Roof, C-2 1st floor roof C-1 1st floor roof C-2 1st floor roof C-3 1st floor Beam-1: C-1 1st floor Beam-5: C-2 11.4 (1605) 11.9 (1730) 12.1 (1750) 8.1 (1170) 24.5 (3550) 21.8 (3160) 17.7 (2570) Combined Combined Combined Combined Combined Combined Combined Table 3 Experimental data of brick shear test on masonry wall No Location Shear Stress, σ Area, A1 Load, P MPa (psi) mm2 (in2) kN (lb) 1 10.34 (1500) 858 (1.33) 8.87 (1995) 6.89 (1000) 858 (1.33) 5.92 (1330) 2 GF Interior wall (G/1–2) GF Exterior Wall (K/1–2) rebar diameter of 16 mm for beams and 10 mm for slab were assumed as a conservative estimate to assess their capacity. The standard penetration test (SPT) was performed (Fig. 5) to obtain an approximate bearing capacity and dynamic soil resistance measure. SPT value suggests that the upper soil (up to 6.0 m depth) corresponds to very stiff cohesive soil suitable for moderate load bearing structures (Terzaghi et al. 1967). The groundwater level was at − 5.75 m EGL. Soil test results are shown in Tables 4 and 5. Finite element modeling Fig. 2 Measurement of slab thickness Fig. 3 Schematic diagram of floor beams, a 1st floor, b 2nd floor 13 For the detailed engineering assessment of the building, finite element modeling was conducted using ETABS 16.2. The slabs were modelled as shell element. The load-bearing walls were modelled as a membrane. The material type of the walls was ‘Masonry’, directional symmetry of which was isotropic. Element dimensions were taken from the as-built drawing. Average compressive strength of 13.8 MPa (2 ksi) was considered for the reinforced concrete in RC members. The minimum yield strength (275.79 MPa) and tensile strength (482.63 MPa) of the 40-grade rebar were assumed for analysis. The modulus of elasticity of the masonry material was taken as 5625 MPa (determined as per the guideline of BNBC 2020), and the same for RC members (shell and beam √ elements) was 17,580 MPa which is equal to � 57,000 fc� , (f c in psi). As the extreme ends of the reinforced Asian Journal of Civil Engineering (2021) 22:443–460 447 Fig. 4 Rebar scans of GF beam E1-E2 [a lateral, b bottom] and c slab Fig. 5 Standard penetration test on site Table 4 Soil property: borelog-1 Depth (m) Soil property BH-1 Table 5 Soil property: borelog-2 1.0–6.0 6.0–9.0 Stiff to very stiff silty clay (High plasticity) Medium stiff to stiff, clayey silt with fine sand (Medium compressible) Medium dense, silty fine sand, trace mica Depth (m) Soil property BH-2 1.0–6.0 6.0–9.0 9.0–15.0 Medium stiff to very stiff silty clay (High plasticity) Stiff, clayey silt with fine sand (Medium compressible) Medium dense, silty fine sand, trace mica 9.0–15.0 13 448 Asian Journal of Civil Engineering (2021) 22:443–460 concrete beams rested on masonry walls, they tend to behave like simply supported beams. Therefore, they are assigned hinge restraints in FE model. Hinges were also assigned at the bottom nodes of the load-bearing walls as supports. Seismic loading parameters e.g. zone coefficient (Z = 0.15), strength reduction factor (R = 6.0), importance coefficient (I = 1.0), exposure category A (urban–suburban area), wind load (V = 210 km/h), are as per BNBC 1993 are applicable for the present site. The site coefficient was considered 1.0 as the soil is stiff clay at the foundation level. The building was analyzed for gravity loads (dead and live loads) as well as code specified lateral loads. The loading was based on Bangladesh National Building Code (BNBC 1993,2020) where the design basis earthquake has 10% probability with a return period of 50 years. Seismic loads were applied at the center of the mass of the diaphragms at each story. The surface area method was used for the wind load analysis and maximum wind load deflection h limit 500 was considered acceptable for the wind effect only. The loading used in the finite element analysis is shown in Table 6. The 3D model and the plan view of the structure is shown in Fig. 6. However, since retrofitting design was to be done for vertical extension of the northern part, a model consisting of four stories on both the northern and the southern part was later prepared and analyzed, the image of which is not presented in this paper. Table 6 Super-imposed static loads Loading type Code specified load (kN/m2) Live load (office building) Live load on porch Live load on stairs Internal partition wall load Floor finish 2.87 0.48 4.80 1.44 1.44 Fig. 6 Complete finite element model of URM building, a 3D model, b typical plan 13 Sensitivity analysis Sensitivity analysis was carried out on the finite element model to choose the optimum size and number of mesh for which results obtained will be reliable and accurate to the desired degree and at the same time, it will require optimum time to run and execute the analysis of the model. Coarser mesh produced lower stresses in the walls as compared to finer mesh. So, optimum mesh sizes were selected by trial and error considering two vital factors: 1. Analysis run time 2. Results having similar accuracy compared to those with finer mesh size An illustration of a small part of the wall in elevation 1 is depicted in Table 7. The number of wall divisions was set to be 40, 128, 512 and 1152 and maximum shear stress (Dead + EQ) was investigated for each case. It was observed that the change in stress decreases as the number of shell elements increases, and it has a value of only 1.4% when the number of elements is changed from 512 to 1152. Afterwards, no further divisions of the shell elements were made since, for further refining of mesh, the change in results will be negligible, but it will require a significantly longer time to analyze the model. For verification of the accuracy of the modeling procedure, results of the FE analysis were checked by calculations performed manually. To present in this paper, a small model of one story URM building was created following the same procedure as the main model. Properties of the model and comparisons of the FEA results with the manual calculations are shown in Appendix A (Fig. 18 and Table 21). It shows that the results obtained from FE analysis matches with the manual calculations which further justifies the use of FEM results in the current study. Asian Journal of Civil Engineering (2021) 22:443–460 Table 7 Sensitivity analysis of the structure Table 8 Slenderness ratio of the building 449 Number of shell elements Maximum shear stress for 10-inch wall % change in stress Image of a wall 40 93 128 100 512 106.5 1152 108 – 7.53% 6.5% 1.41% Story details Effective height inch (m) Effective thickness inch (m) Slenderness ratio Comment Ground floor 1st–3rd floor 175.5 (4.46) 115.5 (2.93) 11.7 11.55 Satisfied Satisfied Results and discussion Adequacy check of load‑bearing walls The structural system of the building is primarily an unreinforced masonry system resting on wall foundations. According to the BNBC 1993 guideline, Working Stress Design (WSD) method was used to assess the structural adequacy of the masonry elements of the structure. Slenderness ratio check Table 8 shows the existing slenderness ratio of the walls. According to the BNBC 1993, masonry walls’ slenderness ratio shall not exceed 20 and this ratio for all the walls of this structure fall within the prescribed limit. From this, it can be stated that the existing thickness of the walls is adequate. Maximum compressive stress (Fa) check In unreinforced masonry structures, load-bearing walls are by far the most vulnerable element to seismic loading. These elements are primarily designed to carry vertical loads by compression. Allowable limit of axial compressive stress, Fa (Eq. 1; Eq. 4.3.1 BNBC 1993) was calculated to be 1.38 MPa (200 psi). As shown in Table 9, the load bearing walls satisfy the vertical compressive stress requirement due to service load combination (Dead + Live). [ ( � )3 ] f �m h , 1− Fa = (1) 5 42t 15 (0.38) 10 (0.25) Table 9 Maximum axial compressive stress generated in FEM model for load-bearing walls Wall designation Generated Maximum compres- Remarks (limit state) sive stress MPa (psi) 1A-1L 1D-1 K 2A-2B 2C-2 K A1-A2 B1-B2 C1-C2 C4-C5 G1-G2 K1-K2 0.52–0.59* (75–85*) 0.52–0.59* (75–85*) 0.69* (100*) 0.69* (100*) 0.62 (90) 0.83 (120) 0.52 (75) 0.21* (30*) 0.34 (50) 0.41 (60) Satisfied Satisfied Satisfied Satisfied Satisfied Satisfied Satisfied Satisfied Satisfied Satisfied *In very small portions of the wall surface, the stress values have been found to be much greater than the maximum values presented in the table. For example, the point of the wall at which a beam rests the compressive stress is above 120 psi. At such resting points of beams, compressive stress reached up to a maximum of 300.6 psi (67% of which is the allowable compressive stress. So, these points of stress concentration are to be considered while retrofitting of the structure where h’ is the effective height of the wall and t is the masonry wall’s effective thickness. Maximum shear stress Fv check In a seismic event, load-bearing walls are subjected to repetitive in plane and/or out of plane horizontal loading. Due to not having any reinforcing element, they have little 13 450 Asian Journal of Civil Engineering (2021) 22:443–460 resistance to horizontal shear stress. The allowable limit of shear stress of unreinforced masonry was calculated to be 0.069 MPa (10 psi) (Eq. 2; Eq. 4.3.5, BNBC 1993 and Eq. 6.7.6, BNBC 2020). √ Fv = 0.025 f � m < 0.40 N∕mm2 . (2) Table 10 shows the generated shear stress on the masonry wall for service load combination (Dead + Live) and lateral loading (Dead + Earthquake). According to the criteria of BNBC 1993, most of the wall sections are found to be vulnerable to failure under horizontal shear. On the other hand, all the walls fail to satisfy the limits of horizontal shear prescribed by BNBC 2020. This is because the seismic forces calculated as per BNBC 2020 were much higher than those calculated as per BNBC 1993 owing to the difference of the Response Reduction Factor (R). For load-bearing unreinforced masonry structure R is 1.5 in BNBC 2020, which is much less than that of BNBC 1993 (R = 5). So, the allowable limit of shear stresses due to dead and seismic forces of BNBC 2020 is exceeded for all the walls as shown in Fig. 7. Figure 7 shows the typical floor plan view of the adequate and inadequate walls for both the loading criteria of BNBC 1993 and 2020. This indicates the necessity of measures to ensure the adequacy of the walls. Thus, retrofitting of the walls was done, considering the forces of higher magnitudes (Seismic forces of BNBC 2020). At some small locations of the walls (asterisk marked), actual maximum stress was found to be much greater than the tabulated maximum values. This may have happened due to stress concentration at locations where beams rest on walls or at sharp corners (i.e. Window/door frames). These were discarded as they covered a negligible portion of the wall surface and were not representative of the actual maximum stress. Table 10 Maximum shear stress generated in FEM model for load-bearing walls Wall designation Maximum shear stress D + L MPa (psi) Remarks (limit state) Maximum shear stress D + EQ MPa (psi) BNBC 1993 Remarks (limit state) Maximum shear stress D + EQ MPa (psi) BNBC 2020 Remarks (limit state) 1A-1L 1D-1 K 2A-2B 2C-2 K A1-A2 B1-B2 C1-C2 C4-C5 G1-G2 K1-K2 0.07* (10*) 0.01* (2*) 0.10 (14) 0.04* (6*) 0.20 (29) 0.21 (30) 0.14 (20) 0.06* (8*) 0.09 (13) 0.03* (5*) Satisfied Satisfied Not Satisfied Satisfied Not Satisfied Not Satisfied Not Satisfied Satisfied Not Satisfied Satisfied 0.14 (21) 0.03* (5*) 0.19 (27) 0.19* (28*) 0.15 (22) 0.16 (23) 0.19 (28) 0.06* (8*) 0.15 (22) 0.10 (15) Not Satisfied Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Satisfied Not Satisfied Not Satisfied 0.76 (110) 0.09 (13) 0.90 (130) 0.57 (83) 0.37 (54) 0.39 (56) 0.50 (73) 0.16* (23*) 0.43 (63) 0.31 (45) Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Not Satisfied Fig. 7 Wall condition in typical floor plan, a BNBC 1993 EQ loading condition, b BNBC 2020 EQ loading condition 13 Asian Journal of Civil Engineering (2021) 22:443–460 Table 11 Analysis result of beam (1st floor) Table 12 Analysis result of beam (2nd floor) Beam designation 451 Steel requirement (mm2) Comment Compression Tension 1D-2D 1E-2E 1F-2F 1H-2H 1I-2I 1J-2 J Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Overstressed Beam designation Steel requirement (mm2) 1D-2D 1E-2E 1F-2F 1H-2H 1I-2I 1J-2 J Compression Tension 2845 2860 3011 2393 2587 2691 1865 1883 2057 1345 1569 1688 Failure – Inadequate section Failure – Inadequate section Failure – Inadequate section Failure – Inadequate section Failure – Inadequate section Failure – Inadequate section Comment Failure – Inadequate reinforcement Failure – Inadequate reinforcement Failure – Inadequate reinforcement Failure – Inadequate reinforcement Failure – Inadequate reinforcement Failure – Inadequate reinforcement Adequacy check of reinforced concrete members Adequacy check of beams The dimensions of all the beams of first floor (Ground floor roof) and second floor (first floor roof) are, respectively, 400 mm × 300 mm and 500 mm × 300 mm. The Ferro-scan test determined the number and location of longitudinal bars in the beams but gave a vague idea about the exact diameter of the rebar. So, conservatively 16 mm diameter reinforcement bars were assumed as longitudinal bars for beam adequacy check. None of the beams were adequate to withstand the service load moment, as shown in Tables 11 and 12. The inadequacy of all the beams was due to the combination ‘1.4DL + 1.7LL’. Fig. 8 Foundation excavation. a Exterior wall footing, b Interior wall footing Adequacy check of columns and slabs Adequacy check of wall foundation The RCC column design assumed a minimum of 1% rebar. The columns were found to be adequate as per FEM analysis, and the governing combination was ‘1.4DL + 1.7LL’. According to the analysis, 10 mm bars placed 150 mm apart are adequate. The slabs’ scan reports suggest that rebars are spaced at around 140 mm c/c along the short direction of the slabs, which conforms to the slabs’ structural requirement. The maximum deflection of the slabs and the minimum slab thickness were checked and found to be within the limit prescribed by the code. The foundation system of the building consists of a masonry strip foundation. Figure 8 shows the excavated foundation of an exterior and an interior wall, which have a depth of approximately 0.94 m and 1.0 m, respectively. From the bore log, the top layer was found to be medium-stiff to very stiff silty clay with an average SPT value of nearly 6. To determine the bearing capacity of the soil, the unconfined compression test was performed. The unconfined compression stress was found to be 414 kPa and so the cohesion was 207 kPa. Using the bearing capacity equation of Terzaghi (1943) and taking Terzaghi’s bearing capacity factor Nc = 5.7 (Das 2007), the ultimate bearing capacity was found 13 452 Asian Journal of Civil Engineering (2021) 22:443–460 Table 13 Analysis result of beam (1st floor) Beam designation Maximum bending Governing bending moment – kN-m BNBC 1993 moment – kN-m BNBC 1993 Maximum bending Governing bending moment – kN-m BNBC 2020 moment – kN-m BNBC 2020 1D-2D 1E-2E 1F-2F 1H-2H 1I-2I 1J-2 J 389.42 393.77 412.86 332.77 356.38 366.31 349.84 353.75 370.98 298.73 320.03 328.99 412.86 370.98 Table 14 Analysis result of beam (2nd floor) Beam designation Maximum bend- Governing bending moment – kN-m (BNBC 1993) ing moment – kN-m (BNBC 1993) Maximum bending moment – kN-m (BNBC 2020) Governing bending moment – kN-m (BNBC 2020) 1D-2D 1E-2E 1F-2F 1H-2H 1I-2I 1J-2 J 400.17 402.38 423.84 336.09 363.64 378.38 423.84 359.20 361.16 380.52 301.37 326.22 339.52 380.52 Table 15 Retrofitting solution for 1st floor beam considering different material strength Description Code Moment (kN-m) b (mm) d (mm) fy (MPa) fc′ (MPa) Rebars 1st floor beam BNBC 1993 BNBC 2020 412.86 370.98 500 500 500 500 500 500 13.79 13.79 5#7 4#7 Table 16 Retrofitting solution for 2nd floor beam considering different materials Description Code Moment (kN-m) b (mm) d (mm) fy(MPa) fc′ (MPa) Rebars 2nd floor beam BNBC 1993 BNBC 2020 423.84 380.52 500 500 600 600 500 500 13.79 13.79 4#7 3#7 to be 1.16 MPa. Since the structure is expected to be vertically extended up to 4 stories after retrofitting, a factor of safety on the higher side was taken and it was equal to 4.0. So, the allowable bearing capacity of the soil was 0.29 MPa. To check the footing’s adequacy, vertical reactions, Fz at the supports (along the base of the wall) for un-factored gravity loads were extracted from a full four story finite element model due to the vertical extension to take place after retrofitting. With these, the additional load of the 3-inch RC jacket and wall footing below grade were added to find the total vertical load per unit length of the wall footing. Then it was converted to stress and compared to the allowable capacity. It was finally found that most parts of the provided foundation were inadequate against bearing capacity failure. 13 Retrofitting of structural members Retrofitting of RC beams As previously stated, the beams were inadequate to withstand moments generated by service load. Hence retrofitting was required. In this case, U shaped RC jackets were used for retrofitting of RC beams. This was chosen as among other available options (externally bonded steels plates, fiber-reinforced plastic (FRP), carbon fiber reinforced polymer (CFRP)) are prone to premature de-lamination failure, due to mismatch of tensile strength and stiffness with that of RC elements. These are also quite labor-intensive and costly. Tables 13 and 14 show the governing moments in all the Asian Journal of Civil Engineering (2021) 22:443–460 beams which were used to determine the additional required reinforcement in the retrofitting process. RC jacketing is done by extension of the existing beam cross section, with a new layer of high strength concrete reinforced with both shear and flexural reinforcement of 500 MPa. Shear reinforcement was designed as per intermediate moment-resisting frame (IMRF) requirement. Tables 15 and 16 present the specifications of the retrofitting design of beams. For the retrofit design, the effective slab thickness of 100 mm was considered. Retrofitted extension of depth and width was taken to be 100 mm. So, the new dimensions of first floor and second floor retrofitted beams became 600 mm × 500 mm and 700 mm × 500 mm, respectively. This enlargement of beam width, by 66.7%, will also reduce the induced compressive stress on the wall at resting points of beams which exceeded the allowable limits (note of Table 9). The existing reinforcement was considered to be 40 grade 16 mm diameter rebar. Only 50% of their area was considered to be effective in resisting flexural tension as these were not at the same effective depth as the newly retrofitted bar. For retrofitting of beams the concrete mix ratio was chosen as 1:1.2:1.7. 5 mm down stone chips were used as coarse aggregate and 100% Sylhet sand (Fineness Modulus = 2.4) was used as fine aggregates. Super plasticizer was used as an admixture. The beams’ compression zones mostly consist of the old concrete with a compressive strength of 13.8 MPa whereas the newly cast concrete ( f ′ c=35 MPa) was mostly in the tension zone expected to undergo flexural cracking. So, the concrete will contribute only to compression and thus the compressive strength was considered as 13.8 MPa in retrofitting design. To facilitate the retrofitting work, at first the existing plaster was removed, and old concrete was thoroughly chiseled (fully roughened surface). Air blower was used to remove dust and clean off any loose debris. U shaped stirrups (10 mm diameter bars @ 100 mm c/c at supports and 150 mm c/c at mid span) were drilled (75 mm) into the existing slab, securing it by epoxy. Longitudinal bars were placed as per design requirement. To ensure composite action between the concrete interfaces 10 mm diameter @ 150 mm c/c shear keys (one end hooked) were embedded alternatively (staggered pattern) into the existing beam. Embedded length was 75 mm. Surface bonding reagent was applied to bind the new concrete with the existing surface. Steel shuttering and propping were set in place. For concreting, 150 mm diameter holes were drilled into the top slab. Concrete strength for beam was 35 MPa which was confirmed by cylinder test with 28 days curing. Figures 9 and 10 present the beam cross section of the beam with the details of the flexural design. Figures 11 and 12 show the long section of the beam along with shear reinforcement. 453 Fig. 9 Retrofitted beam of 1st floor (dimensions in mm) Fig. 10 Retrofitted beam of 2nd floor (dimensions in mm) Retrofitting of masonry walls Two alternative retrofitting methods of the masonry loadbearing walls were proposed viz. by ferrocement overlay and by reinforced concrete jacketing. However, due to the shear strength requirement of the structure for higher seismic loading of BNBC 2020, thicker ferrocement overlay with more wire meshes was required which is cumbersome for practical construction. For this reason, reinforced concrete jacketing was done for retrofitting of all the walls in the existing building. Both the methods are still described in this section with short details of the procedure. Ferrocement overlay One of the economically feasible retrofitting methods is ferrocement retrofitting. Ferro-cement is an orthotropic composite material having a high strength cement mortar matrix reinforced with steel wires in the form 13 454 Asian Journal of Civil Engineering (2021) 22:443–460 Fig. 11 Longitudinal section of retrofitted beam of 1st floor (dimensions in mm) Fig. 12 Longitudinal section of retrofitted beam of 2nd floor (dimensions in mm) of a mesh (horizontal/diagonal). It improves ductile strength and in-plane inelastic deformation capacity making the retrofitted structure more resilient against seismic forces. As it is cost effective and less labor intensive, it is economically feasible for developing countries. The direct tensile strength is dependent on the bonding between the existing masonry and composite layer, the reinforcement distribution within the matrix, its orientation with respect to the load direction (Prawel and Reinhorn 1982) and volume fraction Vf .Vf is the ratio of volume of mesh reinforcement to the volume of composite layer (reinforcement mesh and matrix). For ferro-cement reinforced with square/ rectangular mesh, the volume fraction and effective area of reinforcement were calculated using following equation mentioned in the Eq. 3 (BNBC1993, Appendix D) Vf = N𝜋db2 4h ( ) 1 1 + , Dt Dl (3) where Dt and Dl are center to center spacing of wires aligned transversely and longitudinally in reinforcement mesh; db is the diameter of the wire mesh; h is the thickness of the composite layer (reinforcement mesh and matrix) and N is the number of layers of reinforcements. Effective area of reinforcement (Asi) per layer of mesh reinforcement in resisting direct tensile stress in a cracked ferro-cement section can be estimated (Eq. 4; BNBC 1993, Eq. 12.4.2, Rahman 2002). 13 Asi = 𝜂Vf Ac , (4) where 𝜂 is global efficiency factor of mesh reinforcement and Ac is cross-sectional area of the ferro-cement overlay. From this effective reinforcement area (Asi ) nominal tensile resistance was determined (Eq. 5; BNBC 1993, Eq. 12.4.3). Allowable tensile stress of the wire mesh was taken to be 60% of the yield strength fy (BNBC 1993, Art. 12.4.3.2). Nn = 0.6Asi fy , (5) Detailing of the ferrocement design is summarized in Table 17. Reinforced concrete retrofitting The construction of a ferrocement section consisting of more than two wire mesh layers is practically cumbersome. Therefore, for high stresses where two wire meshes are not sufficient reinforced concrete jacketing of the walls can serve as a potential alternative for retrofitting. However, in this case the total shear force is to be taken by the RC section which follows from the results of the assessment of Najafgholipour et al. (2018) about the in-plane shear behavior of URM walls. It was found that for URM walls strengthened with steel fiber-reinforced concrete overlay (SFRC) surface layer, in-plane response of the retrofitted walls is controlled mostly by the retrofitting layer. Therefore, the masonry strength was neglected in shear strength calculation of the retrofitted walls. Asian Journal of Civil Engineering (2021) 22:443–460 Table 17 Detailed design of ferro-cement retrofitting of the walls (for BNBC 1993 loading) 455 Wall Maximum A.G.S shear stress MPa (psi) Description Thickness Vf Capacity Nn (psi) 1A-1L 2A-2B 2C-2K A1-A2 B1-B2 C1-C2 G1-G2 K1-K2 0.145 (21) 18 gauge 0.186 (27) 0.193 (28) 0.152 (22) 0.159 (23) 0.193 (28) 0.152 (22) 0.103 (15) 18 gauge External side: 2-layer wire mesh 19 mm 2.03% 31.39 External side:1-layer wire mesh 16 mm 1.21% 15.70 Table 18 Material properties of retrofitting materials Material properties Yield strength of steel deformed bar Compressive strength of concrete Concrete mix ratio Coarse aggregate Fine aggregate Admixture Table 19 Reinforced concrete overlay design requirement (for BNBC 2020 loading) 500 MPa 34.5 MPa 1:1.2:1.7 5 mm down stone chips 100% Sylhet sand as fine aggregate Super plasticizer The design of the RC section is similar to that of the reinforced concrete shear wall. Three-inch (3″) shear wall was proposed and the total shear is taken by the concrete (Vc ) and the steel (Vs ). This strengthening method leads to significant improvement in the shear resistance of the jacketed walls (Churilov and Jovanoska 2013). Moreover, a new RC layer is capable of withstanding additional compressive load too, for which the stresses at resting points of beams on the walls will further decrease. Material properties and detailing of the reinforcement are shown in Tables 18 and Wall Maximum Maximum shear, Reinforcement shear stress Vu N/mm (lb/in) detailing MPa (psi) 1A-1L 2A-2B 2C-2K A1-A2 B1-B2 C1-C2 C4-C5 G1-G2 K1-K2 0.759 (110) 0.897 (130) 0.572 (83) 0.372 (54) 0.386 (56) 0.503 (73) 0.159 (23) 0.434 (63) 0.310 (45) 192.69 (1100) 227.72 (1300) 145.39 (830) 94.59 (540) 98.1 (560) 127.88 (730) 40.29 (230) 110.36 (630) 78.83 (450) Final design details #3 @ 187.5 mm c/c #3 @ 6-inch c/c i.e 10 mm @ 150 mm c/c #3 @ 187.5 mm c/c Vertical and Horizontal direction #3 @ 262.5 mm c/c #3 @ 462.5 mm c/c #3 @ 437.5 mm c/c #3 @ 312.5 mm c/c #3 @ 2525 mm c/c #3 @ 375 mm c/c #3 @ 612.5 mm c/c Fig. 13 Detailing of reinforced concrete wall retrofit 13 456 Asian Journal of Civil Engineering (2021) 22:443–460 Retrofitting of footing Fig. 14 Rebars installed with shear connectors for RC jacketing of masonry walls 19. Detailing of the reinforced concrete retrofitted wall is shown in Fig. 13 and installation of the rebars with shear keys are demonstrated in Fig. 14. The steel reinforcement was arranged as a vertical and horizontal square mesh of 10 mm diameter bars, spaced at 150 mm c/c (Fig. 13). 8 mm diameter shear keys were installed spanning 1000 mm in both directions. They are affixed 75 mm into the surface of the existing masonry wall by epoxy resin. Before concrete casting, surface bonding reagent was applied to bind the new concrete with the existing surface. The placement and spacing of the shear keys (in case of RC jacketing) should be such that those are to be inserted in mortar joints of the masonry walls and not in bricks to prevent cracks in the bricks. It can be noticed from Fig. 14 that, shear keys are installed within mortar to avoid the initiation and propagation of cracks within the bricks. From the adequacy check of wall foundations, major portion of the existing wall footing was found to be inadequate against bearing capacity failure. This called for a cost effective and viable retrofitting option. Lateral extension of the entire strip of the foundation is such an option. In this case, the required amount of extension of the footing width, to comply with the allowable bearing capacity of 0.29 MPa, has been determined. Table 20 shows the required extension for each wall footing. Figure 15 shows the details of retrofitted strip footing. The vertical reinforcement of the walls (of RC jacket) was continued to the foundation on one side. On the other side, horizontal extensions were done in two steps of 152 mm each, one at the plinth level and the other at depth of 787 mm from plinth level. Here, 12 mm diameter L shaped bars, as temperature and shrinkage reinforcement, were placed vertically along with straight horizontal bars at an equal spacing of 250 mm in both directions. The retrofit stripes were cast using reinforced concrete, merged with the external 75 mm thick retrofitted RC jacket above EGL. At the footings base, 2–12 mm diameter horizontal rebar were used as corner reinforcement. These were set along the length of the strip foundation with shear key holding them in place. 12 mm diameter shear key at 250 mm spacing were used with an embedded length of 75 mm. The shear keys were drilled in and fixed by epoxy. Table 20 Required horizontal extension of strip footing Elevation Wall Extension Load per unit length on each side (kN/m) (mm) Governing extension (mm) 1 188.3 177.1 283.6 250.0 189.4 192.8 205.8 171.2 164.4 225 mm on each side 2 A B C G K 1A-1L 1L-1K 2A-2B 2C-2K A1-A2 B1-B2 C1-C2 G1-G2 K1-k2 13 60.9 42.4 219.9 163.8 62.8 68.4 90.2 32.5 21.2 Fig. 15 Strip footing detailing Asian Journal of Civil Engineering (2021) 22:443–460 457 Consequently, the self-weight of the beam was transferred to the floor slab. Sufficient propping was done to support the dead weight of the floor slab along with the beam. Furthermore, to minimize the risk, the total retrofitting procedure (i.e. shuttering arrangement, rebar placement, concreting) was completed within a minimal time frame. Conclusion and recommendation Fig. 16 14.5 feet high bamboo propping system with horizontal bracing To summarize, we can conclude that a case study has been presented here where a masonry building was selected for the study. The detailed engineering assessment of the building was conducted as per the national building code which was followed by the retrofitting of the whole structure as required. The following points from the whole study are primarily outlined. • The stresses on the load-bearing walls were investi- Challenges faced during retroftting process Difficulty in propping The standard height of steel props available in the market is 10–12 feet in height. However, the clear height of the ground floor was 14.5 feet. This posed a challenge to create a reliable support base before the retrofitting work commenced. To solve this, a robust system of makeshift bamboo propping was used as shown in Fig. 16. Since these 14.5′ long bamboo props are prone to buckling, as safeguards, horizontal bracings were used in regular intervals to make a strong support matrix for the floor slab. Difficulty in beam retrofitting In beam retrofitting, the beams’ support points were completely removed from the adjacent masonry load-bearing walls, causing them to hover in midair, as shown in Fig. 17. gated for the seismic loading of both the versions of the national building code (BNBC 1993 and BNBC 2020) and it was found that the stress due to the loading of BNBC 2020 was much higher than that of BNBC 1993 due to a low response modification factor, R for masonry load-bearing walls in BNBC 2020 compared to the 1993 version. • Alternative methods of retrofitting were proposed for the load-bearing walls where it was also recommended that for higher stresses the ferrocement jacketing was not feasible for construction due to the requirement of more than two layers of wire mesh. For these cases, reinforced concrete jacketing of the masonry load-bearing walls turns out to be a handy solution to withstand high shear stress due to lateral load and at the same time it will contribute in resisting the gravity loading along with the existing wall. • To increase the flexural strength of an inadequate beam, a retrofitting strategy by reinforced concrete jacketing Fig. 17 Beam supports removed from the adjacent wall 13 458 has been practically implemented and comprehensively demonstrated in this paper. • The base-widths of the wall footings were increased to reduce the stress under each footing and keep it below the bearing capacity of the soil. • In case of newly cast concrete in walls, beams and footings for retrofitting, shear keys were installed in all members to ensure load transfer between the existing and the newly built structural portions. Thus, this study is expected to provide an elaborate and detail guideline for the structural assessment of old masonry structures along with a comprehensive retrofitting design procedure of all the structural components involved. Asian Journal of Civil Engineering (2021) 22:443–460 Appendix A Verification of FEM results with manual calculations The model shown in this section is of a simple one story URM building consisting of load bearing masonry walls on four sides (Fig. 18). The properties of the structural members of the model and the obtained results compared with manual calculations (Table 21) are depicted in this section. Concrete slab dimensions = 10 ft by 10 ft by 6 inch, Area = 100 sft, Unit weight = 150 lb∕ft3 Compliance with ethical standards Conflict of interest On behalf of all authors, the corresponding author states that there is no conflict of interest. Fig. 18 One story URM building model for comparison of results 13 Masonry wall dimensions = 10 ft by 10 ft by 12 inch, Unit weight = 135 lb∕ft3 Live Load on slab = 60 psf. Asian Journal of Civil Engineering (2021) 22:443–460 Table 21 Comparison of results of FEM with manual calculations 459 Parameter By manual calculation From FE results Total live load 60 psf × 100 sft = 6 kips Total compressive stress on bottom of walls due to dead loads 1. Slab weight = (6/12)× 150 lb/ft3 = 75 psf Slab weight on one wall = (75psf × 100sft)/4 = 1875 lbs which is equal to 1875/(wall cross sectional area) 1875 = (10×12)×12 = 1.302 lb/in2 compressive stress 2. Compressive stress due to wall selfweight = 10ft × 135 lb/ft3 = 1350 lb/ ft2 = 9.375 lb/in2 Total compressive stress at wall bottom is = 1.302 + 9.375 = 10.68 lb/in2 Sum of base reactions for live load = 6 kips 10.75 lb/in2 (shown in Fig. 18) References Abrams, D. P., & Lynch, J. M. (2001). Flexural behavior of retrofitted masonry piers. 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