MECHANICS OF MATERIALS (BME301)

MECHANICS OF MATERIALS

Course Code BME301 
CIE Marks 50
Teaching Hours/Week (L: T:P: S) 2:2:0:0 
SEE Marks 50
Total Hours of Pedagogy 40 
Total Marks 100
Credits 03 
Exam Hours 3 hrs
Examination type (SEE) Theory

Module-1

Simple stress and strain: Definition/derivation of normal stress, shear stress, and normal strain and shear strain – Stress strain diagram for brittle and ductile materials - Poisson’s ratio & volumetric strain – Elastic constants – relationship between elastic constants and Poisson’s ratio – Generalised Hook’s law – Deformation of simple and compound bars, Resilience, Gradual, sudden, impact and shock loadings – thermal stresses. 

Module-2

Bi-axial Stress system: Introduction, plane stress, stresses on inclined sections, principal stresses and maximum shear stresses, graphical method - Mohr's circle for plane stress. Thick and Thin cylinders: Stresses in thin cylinders, Lame's equation for thick cylinders subjected to internal and external pressures, Changes in dimensions of cylinder (diameter, length and volume), simple numerical. 

Module-3

Bending moment and Shear forces in beams: Definition of beam – Types of beams – Concept of shear force and bending moment – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads and combination of these loads – Point of contra flexure. 

Module-4

Theory of simple bending – Assumptions – Derivation of bending equation - Neutral axis – Determination of bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I, T and Channel sections – Design of simple beam sections, Shear Stresses: Derivation of formula – Shear stress distribution across various beams sections like rectangular, circular, triangular, I, and T sections. 

Module-5

Torsion of circular shafts: Introduction, pure torsion, assumptions, derivation of torsional equations, polar modulus, torsional rigidity / stiffness of shafts, power transmitted by solid and hollow circular shafts.

Suggested Learning Resources: Books 

1. Mechanics of Materials, S.I. Units, Ferdinand Beer & Russell Johnstan, 7th Ed, TATA McGrawHill-2014 

2. Mechanics of Materials, K.V.Rao, G.C.Raju, Subhash Stores, First Edition, 2007 

3. Strength of Materials by R.K. Bansal ,Laxmi Publications 2010.