SIMPLE STRESSES AND STRAINS: Elasticity and plasticity – Types of stresses and
strains – Hooke’s law– Factor of safety- Poisson’s ratio and volumetric strain – Elastic
moduli and the relationship between them – Bars of varying section – composite bars –
Temperature stresses.
STRAIN ENERGY: Resilience – Gradual, sudden, impact and shock loadings- Simple

SHEAR FORCE AND BENDING MOMENTS: Types of supports and beams – Shear
force and bending moment diagrams for cantilever, simply supported and over hanging
beams with point loads, uniformly distributed load, uniformly varying loads and couples –
Relationship between bending moment, shear force and loading.

THEORY OF SIMPLE BENDING: Assumptions in the theory of simple bending –
Derivation of bending equation: M/I = f/y = E/R –Neutral axis – Determination bending
stresses – Section modulus of rectangular and circular sections (Solid and Hollow), I, T,
Angle and Channel sections – Design of simple beam.

SHEAR STRESS DISTRIBUTION: Derivation of formula – Shear stress distribution in
rectangular, triangular, circular, I and T sections.

DEFLECTIONS OF BEAMS: Differential equation of deflected beam – Slope and
deflection at a point – Double integration and Macaulay’s methods – Determination of slope
and deflection for cantilever and simply supported beams subjected to point loads, UDL and
uniformly varying load- Mohr’s theorems – Moment area method – application to simple

CONJUGATE BEAM METHOD: Introduction – Concept of conjugate beam method.
Difference between a real beam and a conjugate beam. Deflections of determinate beams
with constant and different moments of inertia.
TORSION OF CIRCULAR SHAFTS AND SPRINGS: Theory of pure torsion – Torsional
theory applied to circular shafts – Power transmission – Close and open coiled helical springs
under axial loads and axial twist – Carriage springs.

1. Strength of Materials (Mechanics of Solids), 6th Edition, Er. R.K. Rajput, S. Chand
2. A Textbook of Strength of Materials, 6th Edition, Dr. R. K. Bansal, Laxmi Publications
1. Mechanics of Materials, Revised, 2016 Edition, Dr. B. C. Punmia, Er. Ashok Kr. Jain,
Dr. Arun Kumar Jain, Laxmi Publications
2. Strength of Materials, 3rdEdition, R. Subramanian, Oxford University Press
3. Strength of Materials, 24thEdition, R. S. Khurmi, S. Chand Publishing
4. Strength of Materials, 11thEdition, Sadhu Singh, Khanna Publishers

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