Structural Analysis 1
CEC-205
Simple Stresses and Strains Introduction, Normal and Shear stresses, Stress-Strain Diagrams, Hook’s law, Modulus of elasticity, Elastic Constants Principle stresses and strains, Mohr’s circle. One dimensional loading & Torsion One dimensional loading on members of varying cross-section. Torsion: Introduction, Torsion of shafts of circular section, torque and twist- shear stress due to torque
Shear Force and Bending Moment Types of beams, loads and supports, shear force and bending moment diagram, bending stresses and shear stresses in beams. Deflection of Beams Deflection due to bending: The moment curvature relation, Macaulay’s method, Moment area and Conjugate beam method, Deflection of determinate plane frames using strain energy and unit load method, Elastic curve sketch.
Analysis of determinate structure Classification of Structures, Stress Resultants, Degree of Freedom per node, Static and Kinematic degrees of indeterminacy. Work and Energy. Strain energy of deformable systems, Betti’s theorem of reciprocal work and Maxwell’s theorem. Principle of virtual work and complementary virtual work, Principle of total minimum stationary potential energy, Stable and unstable equilibrium, Castigliano’s Theorem I and II
Columns and Struts Theory of Columns, long column and short column, Euler’s formula, Columns with eccentric axial loads, Rankine’s formula, Secant formula, Buckling and stability, slenderness ratio, combined bending and direct stress, effect of end conditions on column buckling.