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- Strength Of Materials - SOM
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**A C S COLLEGE OF ENGINEERING - VTU**- Civil Engineering
- B.Tech
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STRENGTH OF MATERIALS (COMMON TO CV/TR/EV/CTM) Sub Code : 10 CV 33 Hrs/ Week : 04 Total Hrs. : 52 IA Marks : 25 Exam Hours : 03 Exam Marks : 100 PART – A UNIT 1: Simple Stress and Strain 1.1 Introduction, 1.2 Properties of Materials, 1.3 Stress, Strain, Hook’s law, 1.4 Poisson’s Ratio, 15 Stress – Strain Diagram for structural steel and non ferrous materials, 1.6 Principles of superposition, 1.7 Total elongation of tapering bars of circular and rectangular cross sections. Elongation due to self – weight 7 Hours UNIT 2: Simple Stress and Strain continued… 2.1 Composite section, 2.2 Volumetric strain, expression for volumetric strain, 2.3 Elastic constants, relationship among elastic constants, 2.4 Thermal stresses (including thermal stresses in compound bars). 6 Hours UNIT 3: Compound stresses 3.1 Introduction, 3.2 Stress components on inclined planes, 3.3 General two dimensional stress system, 3.4 Principal planes and stresses, 3.5 Mohr’s circle of stresses. 8 Hours UNIT 4: Bending moment and shear force in beams 4.1 Introduction, 4.2 Types of beams loadings and supports, 4.3 Shearing force in beam, 4.4 Bending moment, 4.5 Sign convention, 4.6 Relationship between loading, shear force and bending moment, 4.7 Shear force and bending moment equations, SFD and BMD with salient values for cantilever beams, simply supported beams and overhanging beams considering point loads, UDL, UVL and Couple. 7 Hours PART – B UNIT 5: Bending stress, shear stress in beams 5.1 Introduction – Bending stress in beam, 5.2 Assumptions in simple bending theory, 5.3 Pure bending derivation of Bernoulli’s equation, 5.4 Modulus of rupture, section modulus, 5.5 Flexural rigidity, 5.6 Expression for horizontal shear stress in beam, 5.7 Shear stress diagram for rectangular, symmetrical ‘I’ and ‘T’ section (Flitched beams not included). 6 Hours

UNIT 6: Deflection of beams 6.1 Introduction – Definitions of slope, deflection, 6.2 Elastic curve derivation of differential equation of flexture, 6.3 Sign convention 6.4 Slope and deflection for standard loading classes using Macaulay’s method for prismatic beams and overhanging beams subjected to point loads, UDL and Couple. 6 Hours UNIT 7: Torsion of circular shafts 7.1 Introduction – Pure torsion-torsion equation of circular shafts, 7.2 Strength and stiffness, 7.3 Torsional rigidity and polar modulus, 7.4 Power transmitted by shaft of solid and hollow circular sections. 6 Hours UNIT 8: Elastic stability of columns 8.1 Introduction – Short and long columns, 8.2 Euler’s theory on columns, 8.3 Effective length slenderness ration, 8.4 radius of gyration, buckling load, 8.5 Assumptions, derivations of Euler’s Buckling load for different end conditions, 8.6 Limitations of Euler’s theory, 8.7 Rankine’s formula and problems. 6 Hours TEXT BOOKS: 1. Strength of Materials, Subramanyam, Oxford University Press, Edition 2008 2. Mechanics of Materials, B.C Punmia Ashok Jain, Arun Jain, Lakshmi Publications, New Delhi. 3. Strength of Materials, Basavarajaiah and Mahadevappa Universities Press (2009). REFERENCE BOOKS: 1. Strength of Materials, Singer Harper and Row Publications. 2. Elements of Strength of Materials, Timoshenko and Young Affliated East-West Press. 3. Mechanics of Materials, James M. Gere (5th Edition), Thomson Learning. Notes Prepared by :

DEPARTMENT OF CIVIL ENGINEERING STRENGTH OF MATERIALS NOTES (10CV33) UNIT-1 SIMPLE STRESS AND STRAIN

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