MEB2102 SOLID MECHANICS L T P C
3 1 0 4
OBJECTIVES:
• To gain knowledge of simple stresses, strains and deformation in components.
• To assess stresses and deformations through mathematical models of beams,
twisting bars or combinations of both.
• To analyze the effect of component dimensions and shape on stresses and
deformations.
• To provide a strong foundation for study of design courses.
MODULE I STRESS STRAIN AND DEFORMATION OF SOLIDS 10
Rigid and Deformable bodies – Strength, Stiffness and Stability – Stresses;
Tensile, Compressive and Shear – Deformation of simple and compound bars
under axial load – Thermal stress – Elastic constants – Strain energy and unit
strain energy – Strain energy in uniaxial loads.
MODULE II BEAMS - LOADS AND STRESSES 12
Types of beams: Supports and Loads – Shear force and Bending Moment in
beams – Cantilever, Simply supported and Overhanging beams – Stresses in
beams – Theory of simple bending – Stress variation along the length and in
the beam section – Effect of shape of beam section on stress induced –
Shear stresses in beams – Shear flow.
MODULE III TORSION 8
Analysis of torsion of circular bars – Shear stress distribution – Bars of Solid
and hollow circular section – Stepped shaft – Twist and torsion stiffness –
Compound shafts – Fixed and simply supported shafts.
MODULE IV BEAM DEFLECTION 10
Elastic curve of Neutral axis of the beam under normal loads – Evaluation of
beam deflection and slope: Double integration method, Macaulay Method, and
Moment-area Method.
MODULE V APPLICATION OF TORSION AND BEAM DEFLECTION 10
Application to close-coiled helical springs – Maximum shear stress in spring83
B.Tech. Mechanical Engineering
section including Wahl Factor – Deflection of helical coil springs under axial
loads – Design of helical coil springs – stresses in helical coil springs under
torsion loads. Columns – End conditions – Equivalent length of a column –
Euler equation – Slenderness ratio – Rankine formula for columns.
MODULE VI ANALYSIS OF STRESSES IN TWO DIMENSIONS 10
Biaxial state of stresses – Thin cylindrical and spherical shells – Deformation
in thin cylindrical and spherical shells – Biaxial stresses at a point – Stresses
on inclined plane – Principal planes and stresses – Mohr’s circle for biaxial
stresses – Maximum shear stress - Strain energy in bending and torsion.
Total Hours: 60
TEXT BOOKS:
1. Bansal, R.K, “A text book of strenth of material”, Laxmi Pulication (P) Ltd.,
2010.
2. Ramamrutham, S, strenth of materials, 14th Edition, Dhanth Rai Publication,
2011.
REFERENCES:
1. Popov E.P, “Engineering Mechanics of Solids”, Prentice-Hall of India, New
Delhi, 1997.
2. Beer F. P. and Johnston R, “Mechanics of Materials”, 3rd Edition, McGraw-Hill
Book Co, 2002.
3. Nash W.A, “Theory and problems in Strength of Materials”, Schaum Outline
Series, McGraw-Hill Book Co, New York, 1995.
4. Timoshenko S.P, “Elements of Strength of Materials”, Tata McGraw-Hill, New
Delhi 1997.
5. Singh D.K “Mechanics of Solids” Pearson Education, 2002.
6. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co, New Delhi,
1981.
OUTCOMES:
The student should be able to
• Analyze simple stresses, strains and deformation in components.
• Design simple machine components like springs, shafts, beams, columns
etc.
