(a) Introduction: Classification of structures, equations of equilibrium, stability, static and kinematics indeterminacies, principle of superposition. Slopes and deflections in determinate beams and frames: Double integration, Macaulay’s moment area and conjugate beam methods, deflection from strain energy, Castiglione’s theorem and its applications, unit load method, deflection of pin‐jointed frames, Maxwell’s reciprocal theorem. Moving loads and influence lines: Analysis of statically determinate structures subjected to moving loads, calculation of maximum and absolute maximum B.M. and S.F., Influence line Diagram for reaction, S.F. and B.M. in beams trusses and 3‐hinged arches. Analysis of indeterminate beams and frames: Force and displacement approaches in analysis of indeterminate structures, Method of consistent deformation, principle of minimum strain energy, slope deflection method, moment distribution method, Muller‐Breslau Principle and analysis of indeterminate pin jointed frames Plastic analysis: Introduction, plastic hinge concept, plastic modulus, shape factor, upper and lower hound theorems, collapse mechanisms, combined mechanism, plastic analysis of beams and portal frames by equilibrium and mechanism methods
(a) Introduction: Classification of structures, equations of equilibrium, stability, static and kinematics indeterminacies, principle of superposition. Slopes and deflections in determinate beams and frames: Double integration, Macaulay’s moment area and conjugate beam methods, deflection from strain energy, Castiglione’s theorem and its applications, unit load method, deflection of pin‐jointed frames, Maxwell’s reciprocal theorem. Moving loads and influence lines: Analysis of statically determinate structures subjected to moving loads, calculation of maximum and absolute maximum B.M. and S.F., Influence line Diagram for reaction, S.F. and B.M. in beams trusses and 3‐hinged arches. Analysis of indeterminate beams and frames: Force and displacement approaches in analysis of indeterminate structures, Method of consistent deformation, principle of minimum strain energy, slope deflection method, moment distribution method, Muller‐Breslau Principle and analysis of indeterminate pin jointed frames Plastic analysis: Introduction, plastic hinge concept, plastic modulus, shape factor, upper and lower hound theorems, collapse mechanisms, combined mechanism, plastic analysis of beams and portal frames by equilibrium and mechanism methods
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