# 2K6CE 303 MECHANICS OF STRUCTURES

**MODULE I (14Hrs)**

Stress and strain: Concept of stress – Types of stress – Normal stress and strain under uniaxial loading – Modulus of Elasticity and Poisson’s ratio – Members of varying cross sections – Temperature stresses – Volume change and Bulk modulus – Shear stress and strain – Relation among elastic constants – Analysis of plane stress and plane strain – Principal stress and principal strain – Mohr circle representation of plane stress – Principal planes and principal stresses**MODULE II (14Hrs)**

Bending moment and Shear force:

Bending moment and shear force – Review for cantilever and simply supported beams – for various types of statically determinate beams with various loading combinations – Relation between load, shear force and bending moment Three hinged arches: Linear arch – Eddy’s theorem – axial force, shear and moment in circular and parabolic three hinged arches – Temperature effect**MODULE III (12Hrs)**

Stress in beams: Theory of simple bending – Assumptions – Stresses in symmetrical sections – Bending stress distribution – Modulus of section – Stress in composite beams – Transformed section method – Beams of uniform strength – Shear stress distribution in beams of various cross sections**MODULE IV (12Hrs)**

Theory of columns: Axial loading of short strut – Long columns – Euler’s formula – Rankine formula – Secant formula Torsion: Torsion of solid and hollow circular shafts – Power transmission – Closed coil and open coiled helical springs. Thin and thick cylinders: Thin walled pressure vessels – Lame’s equation – Stresses in thick cylinders due to internal and external pressure – Compound cylinders

**References:**

1. Mechanics of Structures Vol I & II Junnarkar S.B. Charotar Publishing House

2. Engineering Mechanics of Solids Popov E. P. Prentice Hall of India

3. Strength of Materials and Mechanics of Structures Punmia B. C. Laxmi Publications

4. Strength of Materials William A. Nash Tata McGraw Hill

5. Strength of Materials Chakraborthy. M., S. K. Kataria & sons

6. Mechanics of Materials , James M. Gere , Thomson Brooks/ Cole.

7. Strength of Materials, Bhavikatti S. S. Vikas Publishing House Pvt. Ltd.