KTU B.Tech S3 Lecture Notes on Mechanics of solid
Types of external loads – internal stresses – normal and shear stresses – strain – Hooke’s law – working stress – stress strain diagrams – Poisson’s ratio – relationship between elastic constants
Elongation of bars of constant and varying sections – statically indeterminate problems in tension and compression –Temperature effects – strain energy and complementary energy-strain energy due to tension, compression and shear
Bending Moment & Shear force: Different types of beamsvarious types of loading –Relationship connecting intensity of loading , shearing force and bending moment- shear force and bending moment diagrams for cantilever beams and Simply supported beams for different types of loading
Stresses in beams of symmetrical cross sections: Theory of simple bending –assumptions and limitations – Normal stresses in beams- Moment of resistance – beams of uniform strength – beams of two materials – strain energy due to bending – shearing stresses in beams
Analysis of stress and strain on oblique sections: Stress on inclined planes for axial and biaxial stress fields – principal stresses – Mohr’s circle of stress Thin and Thick Cylinders: Stresses in thin cylinders – thick cylinders – Lame’s equation – stresses in thick cylinders due to internal and external pressures Torsion: Torsion of solid and hollow circular shafts.-Pure shear- strain energy in pure shear and torsion. Springs: Close coiled and open coiled helical springs.
Deflection of statically determinate beams: Differential equation of the elastic curve – Method of successive integration, Macaulay’s method, Method of superposition, moment area method. Theory of columns: Direct and bending stresses in short columns- Kern of a section. Buckling and stability-Euler’s buckling/crippling load for columns with different end conditions- Rankine’s formula