Other university all, Civil Engineering , Introduction to Solid Mechanics Syllabus

UNIT I Simple stress and strains:
Concept of stress and strain, types of stresses and strains, Hook’s law, stress and strain diagram
for ductile and brittle metal. Lateral strain, Poisson ratio, volumetric strain, elastic moduli and
relation between them. Bar of varying cross-section, composite bar and temperature stress. Strain
energy for gradual, sudden, and impact loading.
Compound stress and strains:
Normal stress and strain, shear stress and strain, stresses on inclines sections, principal stress and
strain, maximum shear stress, Mohr’s stress circle, three dimensional state of stress & strain,
equilibrium equations, generalized Hook’s law-3D, Theories of failure and factor of safety.

UNIT II Shear force and bending moment diagrams
Shear force (SF) and Bending moment (BM) diagrams for simply supported, cantilevers,
overhanging and fixed beams. Calculation of maximum BM and SF and the point of contra
flexure under concentrated loads, uniformly distributed loads over the whole span or part of
span, combination of concentrated loads (two or three) and uniformly distributed loads,
uniformly varying loads. 
 

UNIT III Flexural Stresses-Theory of simple bending – Assumptions – Derivation of bending
equation: M/I = f/y = E/R - Neutral axis – Determination of bending stresses – Section modulus
of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections –
Design of simple beam sections.
Torsion- Derivation of torsion equation and its assumptions. Applications of the equation of the
hollow and solid circular shafts, torsional rigidity, Combined torsion and bending of circular
shafts, principal stress and maximum shear stresses under combined loading of bending and
torsion.
Shear Stresses- Derivation of formula – Shear stress distribution across various beam sections
like rectangular, circular, triangular, I, T angle sections. 

UNIT IV Deflection of Beams: Slope and deflection- Relationship between moment, slope and
deflection, Moment area method, Macaulay’s method. Use of these methods to calculate slope
and deflection for determinant beams.
Short Columns and Struts: Buckling and stability, slenderness ratio, combined bending and direct
stress, middle third and middle quarter rules. 

UNIT V Helical and Leaf Springs: Deflection of springs by energy method, helical springs under
axial load and under axial twist (respectively for circular and square cross sections) axial load
and twisting moment acting simultaneously both for open and closed coiled springs.
Thin cylinders, Thick cylinders & Spheres: Introduction, difference between thin walled and
thick walled pressure vessels, thin walled spheres and cylinders, hoop and axial stresses and
strain, volumetric strain. Radial, axial and circumferential stresses in thick cylinders subjected to
internal or external pressures, compound cylinders.