Dr A.P.J. Abdul Kalam Technical University, UP (AKTU), Civil Engineering Semester 4, Introduction to Solid Mechanics Syllabus

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Unit - 1 Simple stress and strain

1.1 Definition of Stress and Strain

1.2 Types of Stress and Strain

1.3 Hooke’s Law

1.4 StressStrain Diagram for Brittle Metal and for Ductile Metal

1.5 Lateral Strain Poisson’s Ratio Volumetric Strain Elastic Modulus and its variation.

1.6 Bar of Varying Crosssection for members in Parallel and Members in Series.

1.7 Composite bar and Temperature Stress.

1.8 Strain Energy for Gradually Applied Load Suddenly Applied Load and Impact Load.

1.9 Normal Stress and Strain

1.10 Shear Stress and Strain

1.11 Stresses on Incline Section

1.12 Principal Stress and Strain

1.13 Maximum Shear Stress

1.12 Mohr’s Stress Circle

1.13 3D State of Stress and Strain

1.14 Equilibrium Equation

1.15 Generalized Hook’s Law

1.16 Theories of Failure

1.17 Factor of Safety

Unit - 2 Shear Force Diagram and Bending Moment Diagram for Determinate Beams

2.1 Shear Force Diagram SFD and Bending Moment Diagram BMD

2.2 Calculation of maximum SF and BM –

2.3 Point of Contraflexure –

2.4 Uniformly Distributed Load UDL –

2.5 Combination of Concentred Loads –

2.1 Shear Force Diagram SFD and Bending Moment Diagram BMD

2.2 Calculation of maximum SF and BM –

2.3 Point of Contraflexure –

2.4 Uniformly Distributed Load UDL –

2.5 Combination of Concentred Loads –

Unit - 3 Flexural Stresses and Torsions

3.1 Theory of Simple Bending

3.2 Assumptions of theory of Simple Bending –

3.4 Determination of Bending Stresses –

3.5 Section Modulus –

3.6 Design of Simple Beam Section

3.7 Derivation of Torsion equation and its Assumptions

3.8 Applications of the equation of the Hollow and Solid Circular Shaft

3.9 Torsional Rigidity

3.12 Derivation of Shear Stress

Unit - 4 Deflection of Beams

4.1 Slope and Deflection –

4.2 Relationship Between Moment Slope and Deflection –

4.3 Moment Area Method –

4.4 Macaulay’s method –

4.5 Buckling and Stability –

4.6 Slenderness Ratio –

4.7 Combined Bending and Direct Stress –

4.8 Middle Third Rule –

4.9 Middle Quarter Rule –

4.1 Slope and Deflection –

4.2 Relationship Between Moment Slope and Deflection –

4.3 Moment Area Method –

4.4 Macaulay’s method –

4.5 Buckling and Stability –

4.6 Slenderness Ratio –

4.7 Combined Bending and Direct Stress –

4.8 Middle Third Rule –

4.9 Middle Quarter Rule –

Unit - 5 Helical and leaf spring

5.1 Helical and Leaf Spring

5.2 Helical springs under axial load and under axial twist

5.3 Thin cylinders

5.4 Thick cylinders and sphere

5.5 Difference between thin walled and thick walled pressure vessels

5.6 Thin walled spheres and cylinders

5.7 Hoop and axial stresses and strain

5.8 Volumetric strain

5.9 Radial axial and circumferential stresses in thick cylinders subjected to internal and external pressures

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Other Subjects of Semester-2
Mathematics-3
Universal human values
Technical communication
Sensor and instrumentation
Hydraulic engineering and machines
Materials, testing & construction practices
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