# JNTUK R20 2-1 Strength of Materials-I Material | Full Notes PDF Download

Students who are learning JNTUK R20 Civil Branch, Can Download Unit-wise R20 2-1 Strength of Materials I (SOM-I) Notes and Material PDFs below.

OBJECTIVES:

• To impart preliminary concepts of Strength of Material and Principles of Elasticity and Plasticity Stress conditions and to develop diagrams of variation of various stresses across the length.
• To give concepts of stresses developed in the cross-section and bending equations calculation of team 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 derive equations for measuring stresses across the cross-section when subjected to external pressure.

UNIT-1

Simple Stresses And Strains: Elasticity and plasticity – Types of stresses and strains – Hooke’sHooke’s law – anxiety–strain diagram for mild steel – Working stress – Factor of safety – Lateral pressure, Poisson’sPoisson’s ratio and volumetric strain – Elastic moduli and the relationship between them – Bars of varying section – stresses in composite bars – Temperature stresses.

UNIT-2

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, 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-3

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 units – Design of simple beam sections.

Shear Stresses: Derivation of formula – Shear stress distribution across various beam sections like rectangular, circular, I, and T Angle sections.

UNIT-4:

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’sMacaulay’s methods – Determination of slope and deflection for cantilever, 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’sMohr’s theorems – Moment area method – application to simple cantilever cases.

UNIT-5:

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’sLame’s theory for thick cylinders, Derivation of Lame’sLame’s formulae, distribution of hoop and radial stresses across the thickness, compound cylinders-distribution of pressures.

Textbooks:

1. A Textbook on the Strength of Materials, written by R. K. Rajput 7e (Mechanics of Solids) SI Units S. Chand & Co New Delhi

2. Materials’ strength as described by R. K. Bansal, Lakshmi Publications.

REFERENCES:

1. Mechanics of Materials- by R. C.Hibbler, Pearson publishers

2. Mechanical Mechanics of Solids – E P Popov, Prentice Hall.

3. The Strength of Material by B.S.Basavarajaiah as well as P. Mahadevappa, 3rd Edition, University Press

4. The Mechanics of Structures Vol – I by H.J.Shah and S.B.Junnarkar Charotar Publishing House. Ltd.

OUTCOMES:

• Students will be able to comprehend the fundamental material behaviour under the impact of various external loading conditions and conditions of support.
• Students will learn to draw diagrams showing variations of the most critical performance characteristics, such as shear forces and bending moments.
• The student will be knowledgeable of bending concepts as well as calculation of section modulus, as well as to determine the amount of stress that is created in the beams as well as deflections caused by various loading conditions.
• The student can evaluate the stresses in thin and thick cylinder sections and find the most appropriate areas to endure internal pressure with Lame’s equation.

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