Mechanics of Materials 21me44
Module 1`
Stresses and Strains: Introduction, Properties of materials, Stress, Strain and Hooke’s law, Stress strain diagram for
brittle and ductile materials, True stress and strain, Calculation of stresses in straight, Stepped and tapered sections,
Composite sections, Stresses due to temperature change, Shear stress and strain, Lateral strain and Poisson’s ratio,
Elastic constants and relations between them.
Module 2
Analysis of Stress and Strain: Introduction to three-dimensional state of stress, Stresses on inclined planes, Principal
stresses and maximum shear stress, Principal angles, Shear stresses on principal planes, Maximum shear stress, Mohr
circle for plane stress conditions.
Module 3
Shear Force and Bending Moment: Type of beams, Loads and reactions, Relationship between loads, shear forces and
bending moments, Shear force and bending moments of cantilever beams, Pin support and roller supported beams
subjected to concentrated loads, uniformly distributed constant / varying loads. Concept of shear center.
Stress in Beams: Bending and shear stress distribution in rectangular, I and T section beams.
Module 4
Deflection of Beams: Relationship between moment, slope and deflection, Moment area method, Macaulay’s
method. Problems to calculate slope and deflection for determinant beams, Beams of uniform strength, Leaf springs.
Torsion: Circular solid and hallow shafts, Torsional moment of resistance, Power transmission of straight and stepped
shafts, Twist in shaft sections,
Module 5
Thick & Thin Cylinders: Thin cylinder: Hoop’s stress, maximum shear stress, circumferential and longitudinal strains,
Thick cylinders: Lames equations.
Columns: Buckling and stability, Critical load, Columns with pinned ends, Columns with other support conditions,
Effective length of columns, Secant formula for columns.
Introduction to Strain Energy: Strain energy due to axial, shear, bending, torsion and impact load. Castigliano’s theorem
I and II and their applications.
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