Idealizations and approaches to structural analysis: Structural actions, boundary conditions, joints. Formulation and different types of boundary value problem. Approaches to solve boundary value problems.
Energy methods: Total potential and complimentary total potential, Castigliano’s theorems
Force methods: Static determinacy, Method of consistent deformations, Theorem of least work
Displacement methods: Kinematic determinacy, slope deflection method, moment distribution method
Axial element: Formulation of axial element – stiffness and flexibility method. Solve plane and space truss, inclined supports and support settlement.
Beam element: Formulation using stiffness and flexibility method. Support settlement
Frame element: Formulation of plane frame element using stiffness approach, introduction to grid element and space frames
Approximate methods: Lateral load analysis of frames – Portal and cantilever methods.
Other topics: Large deformation analysis, material non-linearity, Instability.- Teacher: saran Saravanan U