CE2201 MECHANICS OF SOLIDS lecture notes for CIVIL - Third (3rd) semester
UNIT I STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS
Rigid bodies and deformable solids – stability, strength, stiffness – tension, compression and
shear stresses – strain, elasticity, Hooke’s law, limit of proportionately, modules of elasticity,
stress-strain curve, lateral strain – temperature stresses – deformation of simple and compound
bars – shear modulus, bulk modulus, relationship between elastic constants – biaxial state of
stress – stress at a point – stress on inclined plane – principal stresses and principal planes –
Mohr’s circle of stresses.
UNIT II ANALYSIS OF PLANE TRUSS, THIN CYLINDERS / SHELLS
Stability and equilibrium of plane frames – types of trusses – analysis of forces in truss
members method of joints, method of sections, method of tension coefficients – thin cylinders
and shells – under internal pressure – deformation of thin cylinders and shells.
UNIT III TRANSVERSE LOADING ON BEAMS
Beams – types of supports – simple and fixed, types of load – concentrated, uniformly
distributed, varying distributed load, combination of above loading – relationship between
bending moment and shear force – bending moment, shear force diagram for simply supported,
cantilever and over hanging beams – Theory of simple bending – analysis of stresses – load
carrying capacity of beams – proportioning of sections
UNIT IV DEFLECTION OF BEAMS AND SHEAR STRESSES
Deflection of beams – double integration method – Macaulay’s method – slope and deflection
using moment area method, Conjugate Beam method – variation of shear stress – shear stress
distribution in rectangular, I sections, solid circular sections, hollow circular sections, angle and
channel sections – shear flow – shear centre.
UNIT V TORSION AND SPRINGS
Stresses and deformation in circular (solid and hollow shafts) – stepped shafts – shafts fixed at
both ends – leaf springs – stresses in helical springs – deflection of springs.