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Specifications of Mechanics of solids

Book Details

  • 978-93-83644-14-8
  • English
  • 2016
  • Paper Back
  • -

Contents

  • Units

    Contents of the Subject

    Unit 1.

    Stress and Strain: Elementary definition of stress and strain, stress strain relationship, elastic, plastic and visco-elastic behavior of common materials in tension and compression test, stress-strain curves, Hooke’s law, Poisson’s ratio, elastic constants and their relations for an isotropic hookean material, anisotropic and orthotropic materials.

    Tension, compression, shearing stress and strain, thermal stresses, composite bars, equations of static equilibrium, concept of free body diagram. Strain energy due to axial loading.

    Unit 2.

    Members Subjected to Flexural Loads: Theory of simple bending, bending moment and shear force diagrams for different types of static loading and support conditions on beams.

    Bending stresses, section modulus and transverse shear stress distribution in circular, hollow circular, I, Box, T, angle sections etc. Strain energy due to bending.

    Unit 3.

    Principal Planes, Stresses and Strains: Members subjected to combined axial, bending and torsional loads, maximum normal and shear stresses, concept of equivalent bending and equivalent twisting moments, Mohr’s circle of stress and strain.

    Theories of Elastic Failures: The necessity for a theory, different theories, significance and comparison, applications.

    Unit 4.

    Stability of Equilibrium: Instability and elastic stability, long and short columns, ideal strut, Euler’s formula for crippling load for columns of different ends, concept of equivalent length, eccentric loading, Rankine formulae and other empirical relations.

    Unit 5.

    Transverse Deflection of Beams: Relation between deflection, bending moment, shear force and load, transverse deflection of beams and shaft under static loading, area moment method, direct integration method.

    Thin-walled Pressure Vessels: Stresses in cylindrical and spherical vessels