UNIT – I SIMPLE STRESSES & STRAINS

1.1 Elasticity and plasticity -Types of stresses and strains -Hooke’s law

1.2 Stress -Strain diagram for mild steel -Working stress - Factor of safety

1.3 Lateral strain, Poisson’s ratio and volumetric strain - Elastic moduli and the relationship between them -Bars of varying section – composite bars- Temperature stresses.

1.4 Complex Stresses - Stresses on an inclined plane under different uniaxial and biaxial stress conditions

1.5 Principal planes and principal stresses - Mohr’s circle - Relation between elastic constants

1.6 STRAIN ENERGY – Resilience -Gradual, sudden, impact and shock loadings – simple applications.

UNIT – II SHEAR FORCE AND BENDING MOMENT

2.1 Definition of beam -Types of beams -Concept of shear force and bending moment -S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of these loads

2.2 Point of contraflexure - Relation between S.F., B.M and rate of loading at a section of a beam.

UNIT – III FLEXURAL STRESSES and SHEAR STRESSES

3.2 Determination bending stresses -Section modulus of rectangular and circular sections (Solid and Hollow), I, T, Angle and Channel sections

3.3 Design of simple beam sections.

3.4 Derivation of formula

3.5 Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T angle sections

UNIT – IV DEFLECTION OF BEAMS

4.1 Bending into a circular arc – slope, deflection and radius of curvature - Differential equation for the elastic line of a beam - Double integration and Macaulay’s methods

4.2 Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, - U.D.L. Uniformly varying load.Mohr’s theorems

4.3 Moment area method -Application to simple cases including overhanging beams.

UNIT – V THIN CYLINDERS and THICK CYLINDERS

5.1 Thin seamless cylindrical shells - Derivation of formula for longitudinal and circumferential stresses – hoop, longitudinal and Volumetric strains- Changes in diameter, and volume of thin cylinders - Riveted boiler shells-Thin spherical shells.

5.2 THICK CYLINDERS: –lame’s equation – cylinders subjected to inside & outside pressures –compound cylinders.

UNIT –VI TORSION and COLUMNS

6.1 TORSION: Introduction-Derivation- Torsion of Circular shafts- Pure Shear

6.2 Transmission of power by circular shafts - Shafts in series, Shafts in parallel.

6.3 COLUMNS: Buckling and Stability, Columns with Pinned ends, Columns with other support Conditions, Limitations of Euler’s Formula, Rankine’s Formula.