JNTUK B.Tech Strength of Materials-I for R13 Batch.

JNTUK B.Tech Strength of Materials-I gives you detail information of Strength of Materials-I R13 syllabus It will be help full to understand you complete curriculum of the year.

Course Learning Objectives

• To give preliminary concepts of Strength of Material and Principles of Elasticity and Plasticity Stress strain behavior of materials and their governing laws. Introduce student the moduli of Elasticity and their relations.
• To impart concepts of Bending Moment and Shear force for beams with different boundary and loading conditions and to draw the diagrams of variation across the length.
• To give concepts of stresses developed in the cross section and bending equations calculation of section modulus of sections with different cross sections.
• The concepts above will be utilized in measuring deflections in beams under various loading and support conditions.
• To classify cylinders based on their thickness and to derive equations for measurement of stresses across the cross section when subjected to external pressure.

Course Outcomes

• The student will be able to understand the basic materials behavior under the influence of different external loading conditions and the support conditions.
• The student will be able to draw the diagrams indicating the variation of the key performance features like bending moment and shear forces.
• The student will have knowledge of bending concepts and calculation of section modulus and for determination of stressed developed in the beans due to various loading conditions.
• The student will be able to assess stresses across section of the thin and thick cylinders to arrive at optimum sections to withstand the internal pressure.

Syllabus

UNIT – I: SIMPLE STRESSES AND STRAINS and STRAIN ENERGY: 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 – 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 – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of these loads – Point of contraflexure – Relation between S.F., B.M and rate of loading at a section of a beam.

UNIT – III: 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.

UNIT –IV: SHEAR STRESSES: Derivation of formula – Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T angle sections, built up beams, shear centre.

UNIT – V: DEFLECTION OF BEAMS: Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic line of a beam – Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, – U.D.L. Uniformly varying load.-Mohr’s theorems – Moment area method – application to simple cases including overhanging beams.

UNIT – VI: THIN AND THICK CYLINDERS: Thin seamless cylindrical shells – Derivation of formula for longitudinal and circumferential stresses – hoop, longitudinal and Volumetric strains – changes in diameter, and volume of thin cylinders – Thin spherical shells.
THICK CYLINDERS: Introduction Lame’s theory for thick cylinders – Derivation of Lame’s formulae – distribution of hoop and radial stresses across thickness – design of thick cylinders – compound cylinders – Necessary difference of radii for shrinkage – Thick spherical shells.

TEXT BOOKS

•  Strength of Materials by S. S. Bhavakatti

REFERENCES

• Strength of Materials by S.S. Rattan, Tata McGraw Hill Education Pvt., Ltd.,
• Strength of materials by R.K. Rajput, S. Chand & Co, New Delhi

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