SM (Diploma Civil Engineering 4th)

1. Properties of Materials: (2 Hrs.)

1.1 Classification of materials, elastic materials, plastic materials, ductile

 materials, brittle materials.

2. Simple Stresses and Strains: (8 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 Temperature stresses and strains

3. Shear Force and Bending Moment: (12 Hrs.)

3.1 Concept of a beam and supports (Hinges, Roller and Fixed), types

 of beams: simply supported, cantilever, propped, over hang,

 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,uniformly varying load

3.5 Relationship between load, shear force and bending moment, point

 of maximum bending moment, and point of contraflexure

4. Moment of Inertia: (6 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 

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derivations). Second moment of areas for shapes made of simple rectangle

(L, T , Channel and I sections )only, section modulus.

5. Bending Stresses in Beams: (8 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 and L sections only

5.3 Moment of resistance

5.4 Calculations of bending stresses in simply supported beam

6. Combined Direct and Bending Stresses: (8 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.

7. Shear Stresses in Beams: (8 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: (6 Hrs.)

8.1 Necessity for determination of slope and deflection

 Moment area theorem (no derivation, simple numerical problems)

9. Columns: (6 Hrs.)

9.1 Theory of columns

9.2 Eulers and Rankine Formula