What Works and Does not Work in the Science and Social Science of Earthquake Vulnerability, January 28-29, 2011 Prof. Sarosh H Lodi NED University of Engineering and Technology INRTODUCTION • Most of the buildings in the urban areas are semi – engineered non-ductile reinforced concrete moment resistant framed structures with very stiff masonry walls but not designed and detailed to resist seismic forces. • Most of the buildings in the rural areas are non – engineered load bearing stone/ brick masonry structures with no resistance to seismic forces. Typical Urban Buildings Typical Urban Buildings Typical Urban Buildings Model 1 Model of infill to increase seismic resistance a cost effective solution COMPARISON OF BARE FRAME AND INFILL FRAME MATERIAL PROPERTIES f’c = 21 MPa fy = 415 MPa Fcm = 2.1 MPa GEOMETRIC PROPERTIES PARAMETERS USED FOR ANALYSIS BARE FRAME FRAME WITH INFILL Soil profile type =SD Ct = 0.03 (For moment resisting frame) R = 5.5 Zone = 2B Soil profile type = SD Ct = 0.02 (For all other building system) R = 5.5 Zone = 2B MODELING PARAMETERS OF INFILL (STRUTS) For retrofitted strut: For ordinary strut in above equation use: Ec = 0 and tc = 0 a = Depth of strut tc = Thickness of shortcrete Em = Modulus of Elasticity of infill hcol = Depth of column hinf = Height of infill q = Inclination angle of infill t = Width of strut Ec = Modulus of Elasticity of shortcrete Efe = Modulus of Elasticity of frame Ic = Moment of inertia of column Ldiag = Diagonal length of infill STRENGTH OF INFILL (STRUTS) For Compression strut: For Tension tie: TIME PERIOD AND BASE SHEAR FOR BARE FRAME FOR INFILL FRAME COMPARATIVE ANALYSIS OF STRENGTH BASED ON PERFORMANCE BASED ANALYSIS FAILURE MECHANISM BARE FRAME FOR INFILL FRAME COMPARATIVE ANALYSIS OF STOREY DISPLACEMENTS Model 2 Addition of strength to the infill to increase seismic resistance RETROFITTED MODELS a) BY MAKING STRONGER COLUMN AND BEAM WHICH ARE TO BE FAILED IN PREVIOUS ANALYSIS i. RCC OR STEEL JACKETING OF COLUMNS ii. RCC OR STEEL JACKETING OF BEAMS b) BY INTRODUCING A SPINE RETROFITTED MODELS Retrofitted columns and beams with infill Retrofitted infill wall 2” thick shortcrete with 12”c/c steel 3” thick shortcrete with 8”c/c steel 6” thick shortcrete with 8” c/c steel 8 “ th RCC wall & 4” th shortcrete with 6”c/c steel Retrofitted Elements Retrofitted Elements COMPARATIVE ANALYSIS OF STRENGTH OF RETROFITTED MODEL FAILURE MECHANISM OF RETROFITTED MODELS Retrofitted columns and beams with infill Retrofitted infill wall COMPARATIVE ANALYSIS OF STOREY DISPLACEMENTS Campaign Typical Rural Buildings Typical Rural Buildings Typical Construction INTRODUCTION School buildings are vital for a society They are places of learning They also play a significant role in the relief operation in post-disaster situations. These buildings can be used as temporary shelters. Assessment of seismic vulnerability of school buildings is essential to ensure safety of children and teachers. DESCRIPTION OF SCHOOL School consists of 4 classrooms. These have been divided into 3 blocks. Load resisting system consists of cavity walls of stone rubble masonry. These provide resistance against gravity loads. Roofing system consists is of timber trusses and corrugated metal sheeting. Construction inherently lacks resistance to lateral loads. PLAN OF SCHOOL VIEW OF SCHOOL A view of school is shown in figure below. TYPICAL SECTION OF WALL Typical wall section of the construction in the area is shown in figure below. Y X Z ANALYTICAL MODELLING A mathematical model of the school was developed. Finite Element Program SAP was employed. Individual blocks were modelled as solid brick elements. Mortar was modelled using non-linear springs. Non-linear properties of mortar were defined using existing constitutive models. Geometric non - linearity were also taken into account. Ground shakings were simulated using El-Centro ground accelerations Stress ANALYTICAL MODELLING Axial behaviour is modelled as follows Strain Stress ANALYTICAL MODELLING Shear behaviour is modelled as follows Strain ANALYSIS OF RETROFITTED SCHOOL A view of the mathematical retrofitted model is shown in figure below ANALYSIS OF RETROFITTED SCHOOL A view of retrofitted long wall is presented in figure below which shows the jacketing scheme around the openings. ANALYSIS OF RETROFITTED SCHOOL A view of retrofitted short wall is shown in figure below which displays a typical wall without openings. 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