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VTU SYLLABUS 2010 STRENGTH OF MATERIALS (COMMON TO CV/TR/EV/CTM) [10CV33] Engineering.
STRENGTH OF MATERIALS
(COMMON TO CV/TR/EV/CTM)
Sub Code : 10 CV 33 IA Marks : 25
Hrs/ Week : 04 Exam Hours : 03
Total Hrs. : 52 Exam Marks : 100
PART – A
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
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).
3.1 Introduction, 3.2 Stress components on inclined planes, 3.3 General twodimensional
stress system, 3.4 Principal planes and stresses, 3.5 Mohr’s
circle of stresses.
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.
PART – B
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).
Deflection of beams
6.1 Introduction – Definitions of slope, deflection, 6.2 Elastic curvederivation
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
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.
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.
1. Strength of Materials, Subramanyam, Oxford University Press, Edition
2. Mechanics of Materials, B.C Punmia Ashok Jain, Arun Jain, Lakshmi
Publications, New Delhi.
3. Strength of Materials, Basavarajaiah and Mahadevappa Universities
1. Strength of Materials, Singer Harper and Row Publications.
2. Elements of Strength of Materials, Timoshenko and Young Affliated
3. Mechanics of Materials, James M. Gere (5th Edition), Thomson