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You are here:Open notes-->Syllabus-->VTU-SYLLABUS-2010-STRENGTH-OF-MATERIALS-COMMON-TO-CVTREVCTM-10CV33-Engineering

**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**

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 twodimensional

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 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

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

7

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.