**Description**

**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.

**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.

**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.

**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.

**Content:-**

**Module 1:**

**Lecture 1:**Introduction: Definition of stress, stress tensor, normal and shear stresses in axially loaded members.

**Numerical problems on stress, shear stress in axially loaded members.**

Lecture 2:

Lecture 2:

**Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress,**

Lecture 3:

Lecture 3:

**Numerical problems on Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress**

Lecture 4:

Lecture 4:

**Shear strain, modulus of rigidity, bulk modulus. Relationship between material properties of isotropic materials.**

Lecture 5:

Lecture 5:

**Numerical problems on shear strain, modulus of rigidity**

Lecture 6:

Lecture 6:

**Stress-strain diagram for uniaxial loading of ductile and brittle materials.**

Lecture 7:

Lecture 7:

**Introduction to mechanical properties of metalshardness, impact**

Lecture 8:

Lecture 8:

**Composite Bars In Tension & Compression:- Temperature stresses in composite rods statically indeterminate problem.**

Lecture 9:

Lecture 9:

**Numerical problems on composite bars and temperature stress.**

Lecture 10:

Lecture 10:

**Module 2:**

**Lecture 1:**Two Dimensional State of Stress and Strain: Principal stresses. Numerical examples

**Lecture 2:**.Numerical examples on calculation of principal stresses

**Lecture 3:**Mohr’s circle method and numerical examples.

**Lecture 4:**Principal strain calculation and numerical examples

**Lecture 5:**Calculation of principal stresses from principal strains

**Lecture 6:**Thin cylinder and thin spherical shells under internal pressure and numerical examples

**Lecture 7:**Wire winding of thin cylinders. Numerical examples.

**Lecture 8:**Torsion of solid circular shafts, twisting moment. Numerical examples

**Lecture 9:**Strength of solid and hollow circular shafts. Numerical examples.

**Lecture 10:**Strength of shafts in combined bending and twisting. Numerical examples

**Module 3:**

**Lecture 1:**Shear Force And Bending Moment Diagram: For simple beams, support reactions for statically determinant beams, relationship between bending moment and shear force.

**Calculation of SF and BM of cantilever beam, simply supported beam and shear force and bending moment diagrams**

Lecture 2:

Lecture 2:

**Calculation of SF and BM of overhanging beams. Point of contra flexure, maximum bending moment.**

Lecture 3:

Lecture 3:

**Numerical examples on calculation of SF and BM of overhanging beams**

Lecture 4:

Lecture 4:

**Pure bending theory of initially straight beams,**

Lecture 5:

Lecture 5:

**Numerical examples on pure bending**

Lecture 6:

Lecture 6:

**Distribution of normal and shear stresses in beams of**

Lecture 7:

Lecture 7:

two materials.

**Numerical examples on calculation of normal and shear**

Lecture 8:

Lecture 8:

stresses in beams of two materials.

**Deflection of beams by integration method**

Lecture 9:

Lecture 9:

**Numerical examples on deflection of beams by**

Lecture 10:

Lecture 10:

integration method

**Lecture 11:**Deflection in beams by moment area method

**Numerical examples on deflection of beams by moment area method**

Lecture 12:

Lecture 12:

**Module 4:**

**Lecture 1:**Closed coiled helical springs: Axial load, axial torque, strain energy in spring, numerical examples.

**Lecture 2:**Spring under impact loading and numerical examples.

**Lecture 3:**Springs in series and numerical examples

**Lecture 4:**Springs in parallel and numerical examples.

**Lecture 5:**Buckling of columns : Euler’s theory of initially straight columns with various end conditions- Column hinged at both ends, Column fixed at both ends, numerical examples

**Lecture 6:**Column fixed at one end and hinged at other end, Column fixed at one end and free at other end numerical examples.

**Lecture 7:**Eccentric loading of columns. Columns with initial curvature

**Lecture 8:**Numerical examples on Eccentric loading of columns.

**Author Details**

Prepared by

"Prof. P. R. Dash""Prof. P. R. Dash"

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