Verify Account

SYLLABUS

Unit-1

Stresses and Strains : Types of stresses and strains, Stress-strain relations, Stress-strain diagram for ductile and other materials, Axial loaded bars of uniform and varying cross section, Compound bars, Relation between three elastic moduli, Thermal stresses. Principal Stresses and Strains : Biaxial state of stress with and without shear - Mohr’s Circle and analytical methods.

Unit-2

Analysis of Beams : Types of beams and loads, Shear force and bending moment diagram for cantilever, Simply supported and overhanging beams for different types of loading, point of contra flexure, Relation between shearing force and bending moment. Bending Stresses : Flexural equation, Bending stress distribution and efficiency of various cross sections of beams. Shear Stress : Shear stress distribution for different cross sections of beams.

Unit-3

Deflection of Beams : Differential equations of the deflection curve, Slope and deflection : using double integration method, Macaulay’s method and Moment area method for simply supported, Cantilever and overhanging beams. Energy Methods : Strain energy, Resilience, Deflection under single and several loads, Castigliano’s theorem.

Unit-4

Torsion of Circular Shafts : Theory of pure torsion, Transmission of power in solid and hollow circular shafts, Comparison of strengths of solid and hollow shafts, Shafts in series and parallel, Combined bending and torsion. Springs : Deflection of closed and open coil helical springs under axial force and axial couple, Leaf springs.

Unit-5

Bucking of Columns : Analysis of columns to evaluate buckling loads with different boundary conditions, Euler’s formula and its limitations, Rankine’s formula, Columns under eccentric load, columns under initial curvature. Thin Cylinders : Hoop and stresses, Longitudinal, Cylindrical and spherical shells subjected to internal pressure calculation of volumetric strain.