Structure II

Course Objective:
To understand the behavior of various structures under loading, and methods to analyze structural components

1. Introduction (6 hours)
1. Structural elements - bar, plate, block and their characteristics
2. Geometrical stability of framed structures
3. Basic definition of a structure
4. Stability, statically determinate  and indeterminate  structures
5. Statically determinate plane trusses
6. Joint method to determine member forces of a plane truss
7. Section method to determine member forces of a plane truss
8. Introduction to space trusses


2. Energy Principles (12 hours)
1. Linearly elastic structures
2. Principle of superposition
3. Maxwell reciprocal theorem
4. Betti's law
5. Real work and virtual work
6. Strain energy
7. Strain energy due to axial force, shear force, bending moment and torsion
8. Real work method to determine displacements, and its limitations
9. Virtual work method to determine displacements
10. Unit load method to determine deflection of beams and frames
11. Moment area theorems I and II
12. Moment area method to determine the deflection of beams and frames


3. Introduction to Influence Line Diagrams (6 hours)
1. Moving loads
2. Concept of Influence Line Diagrams
3. Significance of Influence Line Diagrams
4. Influence Line Diagrams for Reactions, Shear Force and Bending Moment
5. Determination of stresses from Influence Line Diagrams


4. Three Hinged Systems (6 hours)
1. Statically determinate arches and frames
2. Parabolic and circular three hinged arches
3. Support reactions, shear, thrust and bending moment in a three hinged arch
4. Three hinged arches with supports at different levels


5. Introduction to Analysis of Indeterminate Structures (15 hours)
1. Statically indeterminate structures
2. Introduction to slope deflection method
3. Fixed end moments due to transverse loads
4. Fixed end moments due to support rotations and support settlements
5. Basic slope deflection equations
6. Analysis of indeterminate beams and frames by slope deflection method
7. Introduction to moment distribution method
8. Stiffness, distribution factor and carry over factor
9. Modified stiffness
10. Analysis of indeterminate beams and frames by moment distribution method

1. S Negi & R S Jangid “Structural Analysis”, Tata McGraw Hill
2. C S Reddy “Basic Structural Analysis”, Tata McGraw Hill
3. Pundit & Gupta,”Structural Analysis”, Tata McGraw-Hill
4. Hibbler,”Structural Analysis”, Prentice Hall
5. E P Popov,”Mechanics of Solids”, Prentice Hall of India