Bihar Engineering University, Bihar, Civil Engineering Semester 4, Introduction to Solid Mechanics Syllabus

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Unit - 1 Simple Stresses and Strains

1.1 Concept of Stress and Strain

1.2 St. Venant’s Principle

1.3 Stress and Strain Diagram

1.4 Elasticity and plasticity

1.5 Type of Stresses and Strain

1.6 Hooke’s law

1.6 Stress Strain Diagram for Mild Steel

1.7 Working Stress

1.8 Factor of Safety

1.9 Lateral Strain

1.10 Poisson’s Ratio

1.11 Volumetric Strain

1.12 Elastic Moduli and the relationship between them

1.13 Bars of varying section Composite bar

1.14 Temperature Stresses

1.15 Strain Energy – Resilience – Gradual Sudden Impact and Shock Loading – Simple applications

Unit - 2 Compound Stresses and Strains

2.1 Compound Stresses and Strain Two Dimensional System

2.2 Stress at a point on a plane

2.3 Principal Stresses and Principal Planes

2.4 Mohr Circle of Stress

2.5 Ellipse of stress and their applications

2.6 Two Dimensional StressStrain System

2.7 Principal Strains and Principal axis of Strain

2.8 Circle of Strain and Ellipse of Strain

2.9 Relationship between elastic constants

Unit - 3 Bending moment and Shear Force Diagrams

3.1 Bending moment BM and Shear force SF diagrams

3.2 BM and SF diagrams for cantilevers simply supported and fixed beams with or without overhang.

3.3 Calculation for maximum BM and SF and point of contra flexure under concentrated loads

3.4 Uniformly distributed loads over the whole span or part of span

3.5 Combination of concentrated loads two or three

3.6 Uniformly Distributed Loads

3.7 Uniformly Varying Loads

3.8 Applications of Moments

Unit - 4 Flexural Stresses

4.1 Theory of Simple Bending

4.2 Assumptions

4.3 Derivation of Bending Equation MI fy ER

4.4 Neutral Axis

4.5 determination of bending stresses Section modulus of Rectangular and Circular section Solid and hollow I T angle and channel section

4.7 Design of Simple Beam Section

Unit - 6 Slope and deflection

6.1 Slope and deflection Relation between moments

6.2 Slope and deflection

6.3 Moment area method

6.4 Macaulay’s method

6.5 Use of this method to calculate slope and deflection for determinant beam

Unit - 7 Torsion

7.1 Torsion Derivation of torsion equation and its assumptions 

7.2 Application of the Equation of the hollow and Solid circular shafts

7.3 Torsion rigidity

7.4 Combined torsion and bending of circular shafts

7.5 Principal Stress and maximum Shear stresses under combined loading of bending and torsion

7.6 Analysis of close coiled helical springs

Unit - 8 Thin Cylinders and Spheres

8.1 Thin Cylinder and Sphere Derivation of formula and Calculation of hoop Stress

8.2 Longitudinal Stress in a cylinder

8.3 Sphere subjected to internal pressures

Unit -5 Shear Stresses

5.1 Shear Stresses Derivation of formula

5.2 Shear Stress Distribution across various beam section like Rectangular Circular Triangular I and T angle section.

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Other Subjects of Semester-2
Engineering geology
Structural analysis
Mechanical engineering
Introduction to fluid mechanics
Materials, testing & evaluation
Disaster preparedness & planning
Management i (organizational behaviour)
Civil engineering – societal & global impact
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