M.Tech I Year I Semester (R17)
To impart knowledge on the analysis of indeterminate structures like continuous
beams, trusses and portal frames.
The learner will be able to analyse different indeterminate structures using Matrix
methods.
Introduction to matrix methods of analysis - static indeterminacy and kinematic indeterminacy - degree of freedom - coordinate system - structure idealization stiffness and flexibility matrices - suitability element stiffness equations - elements flexibility equations - mixed force - displacement equations - for truss element, beam element and tensional element. Transformation of coordinates - element stiffness matrix - and load vector - local and global coordinates.
Assembly of stiffness matrix from element stiffness matrix - direct stiffness method - general procedure - band matrix - semi bandwidth - computer algorithm for assembly by direct stiffness matrix method.
Analysis of plane truss - continuous beam - plane frame and grids by flexibility methods.
Analysis of plane truss - continuous beam - plane frame and grids by stiffness methods.
Special analysis procedures - static condensation and sub structuring - initial and thermal
stresses. Shear walls- Necessity - structural behaviour of large frames with and without shear walls - approximate methods of analysis of shear walls.
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