SS.M. I , II Year - I Semester
JNTUK, R19 - SYLLABUS
UNIT – I:
Simple Stresses And Strains :
Elasticity and plasticity – Types of stresses and strains – Hooke‘s law – stress – strain diagram for mild steel – Working stress – Factor of safety – Lateral strain, Poisson‘s ratio and volumetric strain – Elastic moduli and the relationship between them – Bars of varying section – stresses in composite bars – Temperature stresses. Strain Energy – Resilience – Gradual, sudden, impact and shock loadings – simple applications.
UNIT – II:
Shear Force and Bending Moment:
Definition of beam – Types of beams – Concept of shear force and bending moment – Point of contra flexure – Relation between S.F., B.M and rate of loading at a section of a beam; S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads, partial uniformly distributed loads, couple and combination of these loads.
UNIT – III:
Flexural and shear Stresses in beams:
Flexural stresses:
Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y = E/R, Neutral axis – Determination bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I, T, Angle and Channel sections – Design of simple beam sections.
Shear Stresses:
Derivation of formula – Shear stress distribution across various beam sections like rectangular, circular, I, T and Angle sections.
UNIT – IV:
Deflection of Beams:
Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic curve of a beam – Double integration and Macaulay‘s methods – Determination of slope and deflection for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads, partial uniformly distributed loads, couple and combination of these loads. Mohr's theorems – Moment area method – application to simple cases of cantilever.
UNIT – V:
Thin and Thick Cylinders:
Thin cylindrical shells:
Derivation of formula for longitudinal and circumferential stresses – hoop, longitudinal and volumetric strains – changes in diameter, and volume of thin cylinders.
Thick cylinders:
Introduction: Lame's theory for thick cylinders, Derivation of Lame's formulae, distribution of hoop and radial stresses across the thickness, compound cylinders-distribution of stresses.
TEXT BOOKS:
1. A Textbook of Strength of Materials, by R. K. Rajput, 7e (Mechanics of Solids) SI Units S. Chand & Co, New Delhi
2.Strength of materials by R. K. Bansal, Lakshmi Publications.
REFERENCES:
1. Mechanics of Materials- by R. C.Hibbler, Pearson publishers 2. Mechanics of Solids – E P Popov, Prentice Hall.
3. Strength of Materials by B.S.Basavarajaiah and P. Mahadevappa, 3rd Edition,Universities Press
4. Mechanics of Structures Vol – I by H.J.Shah and S.B.Junnarkar, Charotar Publishing House.
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