Lectures notes
On
Mechanics of Solids
Course Code- BME-203
Prepared by
Prof. P. R. Dash
,SYLLABUS
Module – I
1. Definition of stress, stress tensor, normal and shear stresses in axially loaded
members.
Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear
stress, shear strain, modulus of rigidity. Relationship between material properties of
isotropic materials. Stress-strain diagram for uniaxial loading of ductile and brittle
materials. Introduction to mechanical properties of metals-hardness,impact.
Composite Bars In Tension & Compression:-Temperature stresses in composite
rods – statically indeterminate problem. (10)
Module – II
2. Two Dimensional State of Stress and Strain: Principal stresses, principal
strains and principal axes, calculation of principal stresses from principal
strains.Stresses in thin cylinder and thin spherical shells under internal pressure ,
wire winding of thin cylinders.
3. Torsion of solid circular shafts, twisting moment, strength of solid and hollow
circular shafts and strength of shafts in combined bending and twisting. (10)
Module – III
4. Shear Force And Bending Moment Diagram: For simple beams, support
reactions for statically determinant beams, relationship between bending moment
and shear force, shear force and bending moment diagrams.
5. Pure bending theory of initially straight beams, distribution of normal and shear
stress, beams of two materials.
6. Deflection of beams by integration method and area moment method. (12)
Module – IV
7. Closed coiled helical springs.
8. Buckling of columns : Euler’s theory of initially straight columns with various
end conditions, Eccentric loading of columns. Columns with initial curvature. (8)
1
,Text Books-:
1. Strength of materials by G. H. Ryder, Mc Millan India Ltd.,
2. Elements of Strength of Materials by S.P. Timoshenko and D.H. Young, East
West Press Pvt. Ltd.,
Ref. Books:-
1. Introduction to solid mechanics by H. Shames, Prentice Hall India, New Delhi
2. Engineering mechanics of solid by E. P. Popov, Prentice Hall India, New Delhi
3. Engineering Physical Metallurgy, by Y. Lakhtin, MIR pub, Moscow.
2
, Contents
Module Lecture Title
No No
Lecture 1 Introduction: Definition of stress, stress tensor, normal
and shear stresses in axially loaded members.
Lecture 2 Numerical problems on stress, shear stress in axially
loaded members.
Lecture 3 Stress & Strain :- Stress-strain relationship, Hooke’s
law, Poisson’s ratio, shear stress,
Lecture 4 Numerical problems on Stress-strain relationship,
Hooke’s law, Poisson’s ratio, shear stress
Lecture 5 Shear strain, modulus of rigidity, bulk modulus.
Relationship between material properties of isotropic
Module 1 materials.
Lecture 6 Numerical problems on shear strain, modulus of rigidity
Lecture 7 Stress-strain diagram for uniaxial loading of ductile and
brittle materials.
Lecture 8 Introduction to mechanical properties of metals-
hardness, impact
Lecture 9 Composite Bars In Tension & Compression:-
Temperature stresses in composite rods statically
indeterminate problem.
Lecture 10 Numerical problems on composite bars and temperature
stress.
Lecture 1 Two Dimensional State of Stress and Strain:
Principal stresses. Numerical examples
Module 2
Lecture 2 .Numerical examples on calculation of principal
stresses.
3
On
Mechanics of Solids
Course Code- BME-203
Prepared by
Prof. P. R. Dash
,SYLLABUS
Module – I
1. Definition of stress, stress tensor, normal and shear stresses in axially loaded
members.
Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear
stress, shear strain, modulus of rigidity. Relationship between material properties of
isotropic materials. Stress-strain diagram for uniaxial loading of ductile and brittle
materials. Introduction to mechanical properties of metals-hardness,impact.
Composite Bars In Tension & Compression:-Temperature stresses in composite
rods – statically indeterminate problem. (10)
Module – II
2. Two Dimensional State of Stress and Strain: Principal stresses, principal
strains and principal axes, calculation of principal stresses from principal
strains.Stresses in thin cylinder and thin spherical shells under internal pressure ,
wire winding of thin cylinders.
3. Torsion of solid circular shafts, twisting moment, strength of solid and hollow
circular shafts and strength of shafts in combined bending and twisting. (10)
Module – III
4. Shear Force And Bending Moment Diagram: For simple beams, support
reactions for statically determinant beams, relationship between bending moment
and shear force, shear force and bending moment diagrams.
5. Pure bending theory of initially straight beams, distribution of normal and shear
stress, beams of two materials.
6. Deflection of beams by integration method and area moment method. (12)
Module – IV
7. Closed coiled helical springs.
8. Buckling of columns : Euler’s theory of initially straight columns with various
end conditions, Eccentric loading of columns. Columns with initial curvature. (8)
1
,Text Books-:
1. Strength of materials by G. H. Ryder, Mc Millan India Ltd.,
2. Elements of Strength of Materials by S.P. Timoshenko and D.H. Young, East
West Press Pvt. Ltd.,
Ref. Books:-
1. Introduction to solid mechanics by H. Shames, Prentice Hall India, New Delhi
2. Engineering mechanics of solid by E. P. Popov, Prentice Hall India, New Delhi
3. Engineering Physical Metallurgy, by Y. Lakhtin, MIR pub, Moscow.
2
, Contents
Module Lecture Title
No No
Lecture 1 Introduction: Definition of stress, stress tensor, normal
and shear stresses in axially loaded members.
Lecture 2 Numerical problems on stress, shear stress in axially
loaded members.
Lecture 3 Stress & Strain :- Stress-strain relationship, Hooke’s
law, Poisson’s ratio, shear stress,
Lecture 4 Numerical problems on Stress-strain relationship,
Hooke’s law, Poisson’s ratio, shear stress
Lecture 5 Shear strain, modulus of rigidity, bulk modulus.
Relationship between material properties of isotropic
Module 1 materials.
Lecture 6 Numerical problems on shear strain, modulus of rigidity
Lecture 7 Stress-strain diagram for uniaxial loading of ductile and
brittle materials.
Lecture 8 Introduction to mechanical properties of metals-
hardness, impact
Lecture 9 Composite Bars In Tension & Compression:-
Temperature stresses in composite rods statically
indeterminate problem.
Lecture 10 Numerical problems on composite bars and temperature
stress.
Lecture 1 Two Dimensional State of Stress and Strain:
Principal stresses. Numerical examples
Module 2
Lecture 2 .Numerical examples on calculation of principal
stresses.
3
