1. Properties of Materials (02 hrs)
1.1 Classification of materials, elastic materials, plastic materials, ductile
materials, brittle materials.
1.2 Introduction to tensile test, compressive test, impact test, fatigue test,
torsion test on metals.
2. Simple Stresses and Strains: (12 hrs)
2.1 Concept of stress, normal and shear stresses,
2.2 Concept of strain and deformation, longitudinal and transverse strain,
poisson's ratio, volumetric strain
2.3 Hooke's law, modulii of elasticity and rigidity, Bulk modulus of elasticity,
relationship between the elastic constants.
2.4 Stresses and strains in bars subjected to tension and compression.
Extension of uniform bar under its own weight, stress produced in
compound bars (two or three) due to axial load.
2.5 Stress-strain diagram for mild steel and HYSD steel, mechanical
properties, factor of safety.
2.6 Temperature stresses and strains
3. Shear Force and Bending Moment: (16 hrs)
3.1 Concept of a beam and supports (Hinges, Roller and Fixed), types of
beams: simply supported, cantilever, propped, over hang, cantilever and
continuous beams (only concept).
3.2 Types of loads (dead load, live load, snow load, wind load seismic load as
per IS Codes etc) and types of loading (point, uniformly distributed and
uniformly varying loads)
3.3 Concept of bending moment and shear force, sign conventions
3.4 Bending Moment and shear force diagrams for cantilever, simply
supported and overhanging beams subjected to concentrated, uniformly
distributed
3.5 Relationship between load, shear force and bending moment, point of
maximum bending moment, and point of contraflexure.
4. Moment of Inertia: (04 hrs)
Concept of moment of inertia and second moment of area and radius of gyration,
theorems of parallel and perpendicular axis, second moment of area of common
geometrical sections: rectangle, triangle, circle (without derivations). Second
moment of area for L, T and I sections, section modulus.
5. Bending Stresses in Beams: (06 hrs)
5.1 Concept of pure/simple bending
5.2 Assumptions made in the theory of simple bending, derivation and
application of bending equation to circular cross-section, I section, T&L
sections only
5.3. Moment of resistance
5.4 Calculations of bending stresses in simply supported beam
6. Combined Direct and Bending Stresses: (06 hrs)
6.1. Concentric and eccentric loads single axis eccentricity only
6.2. Effect of eccentric load on the section stresses due to eccentric loads,
Numerical in the case of short columns.
6.3. Simple problems on stability of masonry dams and retaining walls
7. Shear Stresses in Beams (04 hrs)
7.1 Concept of shear stresses in beams, shear stress distribution in rectangular,
circular I, T, L sections (Formula to be stated, no derivation)
8. Slope and Deflection: (04 hrs)
Necessity for determination of slope and deflection
Moment area theorem ( no derivation, numerical problems)
9. Columns: (04 hrs)
9.1 Theory of columns
9.2 Eulers and Rankine Formula (No derivation)
10. Analysis of Trusses:
(06 hrs)
10.1 Concept of a perfect, redundant and deficient frames
10.2 Assumptions and analysis of trusses by:
a) Method of joints
b) Method of sections
c) Graphical method