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UNIT-I
PrinciPal StreSSeS and StrainS and theorieS of failureS
Introduction – Stresses on an inclined section of a bar under axial loading – compound stresses – Normal and
tangential stresses on an inclined plane for biaxial stresses – Two perpendicular normal stresses accompanied
by a state of simple shear – Mohr’s circle of stresses – Principal stresses and strains – Analytical and graphical
solutions.
theorieS of failureS
Introduction – Various Theories of failures like Maximum Principal stress theory – Maximum Principal strain
theory – Maximum shear stress theory – Maximum strain energy theory – Maximum shear strain energy theory.
UNIT-II
torSion of circular ShaftS and SPringS
Theory of pure torsion – Derivation of Torsion equations: T/J = q/r = Nφ/L – Assumptions made in the theory of pure
torsion – Torsional moment of resistance – Polar section modulus – Power transmitted by shafts – Combined bending and
torsion and end thrust – Design of shafts according to theories of failure.
SPringS
Introduction – Types of springs – deflection of close and open coiled helical springs under axial pull and axial
couple – Springs in series and parallel.
UNIT-III
columnS and StrutS
Introduction – Types of columns – Short, medium and long columns – Axially loaded compression members –
Crushing load – Euler’s theorem for long columns – assumptions – derivation of Euler’s critical load formulae for
various end conditions – Equivalent length of a column – slenderness ratio – Euler’s critical stress – Limitations
of Euler’s theory – Rankine – Gordon formula – Long columns subjected to eccentric loading – Secant formula
– Empirical formulae – Straight line formula – Prof. Perry’s formula.
UNIT-IV
direct and Bending StreSSeS
Stresses under the combined action of direct loading and B.M. Core of section – Determination of stresses in
the case of chimneys, retaining walls and dams – Conditions for stability – Stresses due to direct loading and
B.M. about both axis.
UNIT-V
unSymmetrical Bending and Shear centre
un–symmetrical Bending: Introduction – Centroidal principal axes of section – Graphical method for locating
principal axes – Moments of inertia referred to any set of rectangular axes – Stresses in beams subjected to
unsymmetrical bending – Principal axes – Resolution of bending moment into two rectangular axes through
the centroid – Location of neutral axis Deflection of beams under unsymmetrical bending
Shear centre: Introduction Shear center for symmetrical and unsymmetrical sections (channel, I, T and L
sections)