Concept of Equilibrium: Load, reaction; General equilibrium equations; Equilibrium of a point
in space; Equilibrium of a member; Concept of free body diagrams; Displacements; Concept of
displacement-constraints/ supports; Statical-determinacy of a problem.
Simple Stress and Strains: Introduction; Concept of stress and strain; Stress-strain curves for
ductile, brittle materials; Generalized Hooke’s law, Stress-strain diagram of ductile and brittle
material, statically determinate and indeterminate problems, compound and composite bars,
thermal stresses. Elastic constants, relations between various elastic constants and its use;
Lateral strain, volumetric strain, poisons ratio; Stress and strains in thin cylinders, spherical
shells; Thin vassals subjected to internal pressures.
Complex stress and strains: Introduction; Normal stress, tangential stress; Rectangular block
subjected to normal stress along and across two planes, combination of normal and tangential
stress; Concept of principal stress and its computation; Mohr circle; Principal strains,
computation of principal stresses from the principal strains.
Shear force and Bending moment diagrams: Introduction to the concept of reaction
diagrams—shear force and bending moment; Role of sign conventions; Types of load, beams,
supports; Shear force and bending moment diagrams: simply supported, overhang and cantilever
beams subjected to any combination of point loads, uniformly distributed and varying load, and
moment; Relationship between load, shear force and bending moment; Different methods for
plotting a bending moment and shear force diagrams.
Bending and Shear Stresses: Introduction; Assumptions and derivation of flexural formula for
straight beams; Centroid of simple and built up section, second moment of area; Bending stress
calculation for beams of simple and built up section, composite sections (flitched sections);
Shear stress; Variation of bending and shear stress along the depth of section.
Columns and Struts: Stability of Columns; Buckling load of an axially loaded columns with
various end conditions; Euler’s and Rankine’s formula; Columns under eccentric load, lateral
load.
Torsion of Circular shafts: Torsion, basic assumptions, derivation of torsion equation; Power
transmitted by shafts; analysis and design of solid and Hollow shafts based on strength and
stiffness; Sections under combined bending and torsion, equivalent bending and torsion.
Failure theories: Maximum principal stress theory, Maximum shear stress theory, Distortion
Energy theory, Strain Energy theory, Constant Analysis of Thin Cylinder
in space; Equilibrium of a member; Concept of free body diagrams; Displacements; Concept of
displacement-constraints/ supports; Statical-determinacy of a problem.
Simple Stress and Strains: Introduction; Concept of stress and strain; Stress-strain curves for
ductile, brittle materials; Generalized Hooke’s law, Stress-strain diagram of ductile and brittle
material, statically determinate and indeterminate problems, compound and composite bars,
thermal stresses. Elastic constants, relations between various elastic constants and its use;
Lateral strain, volumetric strain, poisons ratio; Stress and strains in thin cylinders, spherical
shells; Thin vassals subjected to internal pressures.
Complex stress and strains: Introduction; Normal stress, tangential stress; Rectangular block
subjected to normal stress along and across two planes, combination of normal and tangential
stress; Concept of principal stress and its computation; Mohr circle; Principal strains,
computation of principal stresses from the principal strains.
Shear force and Bending moment diagrams: Introduction to the concept of reaction
diagrams—shear force and bending moment; Role of sign conventions; Types of load, beams,
supports; Shear force and bending moment diagrams: simply supported, overhang and cantilever
beams subjected to any combination of point loads, uniformly distributed and varying load, and
moment; Relationship between load, shear force and bending moment; Different methods for
plotting a bending moment and shear force diagrams.
Bending and Shear Stresses: Introduction; Assumptions and derivation of flexural formula for
straight beams; Centroid of simple and built up section, second moment of area; Bending stress
calculation for beams of simple and built up section, composite sections (flitched sections);
Shear stress; Variation of bending and shear stress along the depth of section.
Columns and Struts: Stability of Columns; Buckling load of an axially loaded columns with
various end conditions; Euler’s and Rankine’s formula; Columns under eccentric load, lateral
load.
Torsion of Circular shafts: Torsion, basic assumptions, derivation of torsion equation; Power
transmitted by shafts; analysis and design of solid and Hollow shafts based on strength and
stiffness; Sections under combined bending and torsion, equivalent bending and torsion.
Failure theories: Maximum principal stress theory, Maximum shear stress theory, Distortion
Energy theory, Strain Energy theory, Constant Analysis of Thin Cylinder
No comments:
Post a Comment