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UNIT 1
Deflection of Beams : Differential relation between load, shear force,
bending moment, slope deflection. Slope & deflection in determinate beams
using double integration method, Macaulay’s method, area moment method and
conjugate beam method.
UNIT 2
Fixed Beams & Continuous Beams :Analysis of fixed beams & continuous
beams by three moment theorem and area moment method.
UNIT 3
Torsion : Elementary concepts of torsion, shear stress in solid and
hollow circular shafts, angle of twist, power transmitted by a shaft,
combined bending and torsion; Springs: stiffness of springs, close coiled
helical springs, springs in series and parallel, laminated plate springs.
UNIT 4
Membrane Analysis : Stress and strain in thin cylindrical & spherical
shells under internal pressures.
Introduction to Energy Methods : Strain energy due to bending,
shear and torsion; Castigleno’s theorems, unit load method & their
applications in analysis of redundant frames upto two degree of redundancy
and deflection of determinate beams, frames and trussed beams; Stresses
due to temperature & lack of fit in redundant frames. Theories of Failures
UNIT 5
Vibrations : Stress tensor and failure criterion. Elementary concepts
of structural vibration, degree of freedom, free vibration of undamped
single degree of freedom systems. Newton’s law of motion, D’Almbert’s
principle, solution of differential equation of motion, frequency & period
of vibration, amplitude of motion; Damped single degree of freedom system:
types of damping, analysis of viscously damped, under-damped, over-damped
& critically-damped systems, logarithmic decrement.
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