Stress & strain: Tension, compression, shearing stress & strain; Poisson’s ratio: Stress-strain relationship,
Hooke’s law; equations of static = w for 2D & 3D cars Elastic constants and their relations for a isotropic
hookean material, anisotropy & orthotropy, thermal stresses, composite bars; simple elastic, plastic &
visco-elastic behavior of common materials in tension and compression test, stress-strain curves. Concept
of factor of safety & permissible stress. Conditions for equilibrium. Concept of free body diagram;
Introduction to mechanics of deformable bodies.
Units: II
Members subjected to flexural loads: Theory of simple bending, bending moment and shear force diagrams
for different types of static loading and support conditions on beams. Bending stresses, Section modulus
and transverse shear stress distribution in circular, hollow circular, I, Box, T, angle sections etc.
Units: III
Principal planes, stresses & strains: Members subjected to combined axial, bending & Torsional loads,
maximum normal & shear stresses; Concept of equivalent bending & equivalent twisting moments:
Mohr's circle of stress & strain.
Theories of Elastic Failures: The necessity for a theory, different theories, significance and comparison,
applications.
Units: IV
Torsion: Torsional shear stress in solid, hollow and stepped circular shafts, angular deflection and
power transmission capacity.
Stability of equilibrium: Instability & elastic stability. Long & short columns, ideal strut, Euler's formula
for crippling load for columns of different ends, concept of equivalent length, eccentric loading,
Rankine formulae and other empirical relations.
Units: V
Transverse deflection of beams: Relation between deflection, bending moment, shear force and load,
Transverse deflection of beams and shaft under static loading, area moment method, direct integration
method: method of superposition and conjugate beam method. Variational approach to determine
deflection and stresses in beam.
Elastic strain energy: Strain energy due to axial, bending and Torsional loads; stresses due to
suddenly applied loads; use of energy theorems to determine deflections of beams and twist of shafts.
Castigliano's theorem. Maxwell's theorem of reciprocal deflections.