## MF3391 Syllabus - Mechanics Of Materials - 2021 Regulation Anna University

MF3391

MECHANICS OF MATERIALS

L T P C

3003

COURSE OBJECTIVES: The main learning objective of this course is to prepare students for:
Applying the principle concepts behind stress, strain and deformation of solids for various engineering applications.
Analyzing the transverse loading on beams and stresses in beam for various engineering applications.
Analyzing the torsion principles on shafts and springs for various engineering applications.
Analyzing the deflection of beams for various engineering applications.
Analyzing the thin and thick shells and principal stresses in beam for various engineering applications

UNIT I

STRESS AND STRAIN

9

Introduction, Hooke’s law, Calculation of stresses in straight, Stepped and tapered sections, Composite sections, Stresses due to temperature change, Shear stress and strain, Lateral strain and Poisson’s ratio, Generalized Hooke’s law, Bulk modulus, Relationship between elastic constants.

UNIT II

ANALYSIS OF STRESS AND STRAIN

9

Plane stress, Stresses on inclined planes, Principal stresses and maximum shear stress, Principal angles, Shear stresses on principal planes, Maximum shear tress, Mohr circle for plane stress conditions. Cylinders: Thin cylinder: Hoop’s stress, maximum shear stress, circumferential and longitudinal strains, Thick cylinders: Lames equations.

UNIT III

SHEAR FORCES AND BENDING MOMENTS

9

Type of beams, Loads and reactions, Relationship between loads, shear forces and bending moments, Shear force and bending moments of cantilever beams, Pin support and roller supported beams subjected to concentrated loads and uniformly distributed constant / varying loads. Stress in Beams: Pure bending, Curvature of a beam, Longitudinal strains in beams, Normal stresses in Beams with rectangular, circular, ‘I’ and ‘T’ cross sections, Flexure Formula, Bending Stresses, Deflection of beams (Curvature).

UNIT IV

TORSION

9

Circular solid and hallow shafts, Torsional moment of resistance, Power transmission of straight and stepped shafts, Twist in shaft sections, Thin tubular sections, thin walled sections Columns: Buckling and stability, Critical load, Columns with pinned ends, Columns with other support conditions, Effective length of columns, Secant formula for columns.

UNIT V

STRAIN ENERGY

9

Castiglioni’s theorem I and II, Load deformation diagram, Strain energy due to normalstresses, Shear stresses, Modulus of resilience, Strain energy due to bending and torsion. Theories of Failure: Maximum Principal stress theory, Maximum shear stress theory.

TOTAL: 45 PERIODS

COURSE OUTCOMES: Upon completion of this course, the students will be able to:
Apply the principle concepts behind stress, strain and deformation of solids for various engineering applications.
Analyze the transverse loading on beams and stresses in beam for various engineering applications.
Analyze the torsion principles on shafts and springs for various engineering applications.
Analyze the deflection of beams for various engineering applications.
Understanding the concept of theories of failure

TEXT BOOKS:
1. Bansal, R.K., Strength of Materials, Laxmi Publications (P) Ltd., 2007
2. Jindal U.C., Strength of Materials, Asian Books Pvt. Ltd., New Delhi, 2007

REFERENCES:
1. Egor. P.Popov “ Engineering Mechanics of Solids” Prentice Hall of India, New Delhi, 2001
2. Ferdinand P. Beer, Russell Johnson, J.r. and John J. Dewole Mechanics of Materials, Tata McGraw Hill publishing ‘co. Ltd., New Delhi.
3. Hibbeler, R.C., Mechanics of Materials, Pearson Education, Low Price Edition, 2007.
4. Subramanian R., Strength of Materials, oxford University Press, Oxford Higher Education Series, 2007.
5. Hibbeler, R. C. Mechanics of Materials. 6th ed. East Rutherford, NJ: Pearson Prentice Hall, 2004.