
Strength of Materials, Vol. 1 A Practical Approach
by D.S. Prakash Rao

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Publisher:  Universities Press (India) Pvt. Ltd. 
Published In:  2006 
ISBN10:  8173711259 
ISBN13:  9788173711251 
Binding Type:  Paperback 
Weight:  2.12 lbs 
Pages:  pp. xvi + 664, Figures, Tables, Index, Appendices 
The Title "Strength of Materials, Vol. 1 A Practical Approach" is written by D.S. Prakash Rao. This book was published in the year 2006. The ISBN number 81737112599788173711251 is assigned to the Paperback version of this title. This book has total of pp. xvi + 664 (Pages). The publisher of this title is Universities Press (India) Pvt. Ltd.. We have about 815 other great books from this publisher. Strength of Materials, Vol. 1 A Practical Approach is currently Available with us.
The book, written in SI units with standard notation and conventions, incorporates the recent developments in structural forms and systems. It presents a gradual transition to theory of structures from the elementary theories of solid mechanics. The Book provides study material for the second and third years of the fouryear degree courses in Engineering and architecture.
1. Structural systems, such as determinate frames, shells, folded plates, composite beams and box girders are included.
2. The behaviour of various engineering materials is explained.
3. Various theories, their applications and limitations are presented with clarity.
4. Historical development of the subject is included.
5. Illustrated profusely with over 400 lucid figures, 300 solved examples, 650 exercise problems and about 300 short questions with multiple choices.
Prof. D.S. Prakash Rao has over thirty years of research, design and teaching experience. He has worked with several organisations in India and overseas, was associated with projects on a wide range of subjects, and has authored several research papers, reports and books. Dr Rao is the recipient of several awards including the Bharat Ratna Sir Mokshagundam Visveshvaraya award for his outstanding contribution to the engineering profession. He is presently with the Civil Engineering Department, University College of Engineering, Hyderabad.
Preface
1. Introduction :
Introduction
i. Historical Review
ii. System of Units
iii. Conventions and Notation :
a. Forces and Moments
b. Coordinate System
c. Displacements, Rotations and Deformations
d. Supports
iv. External Forces on a Body :
a. Direct Forces
b. Transverse Forces
c. Equilibrium of a Body
v. Internal Forces of a Body
vi. Free Body Diagrams
vii. Equivalent Force Systems
viii. Deformations of Bodies :
a. Elasticity of Materials
b. Other Assumptions
ix. Testing Methods
x. Standard Codes of Practice
xi. Summary
I. DIRECT STRESSES :
Introduction
1. Stress
2. Strain
3. Hooke's Law and Young's Modulus
4. StressStrain Behaviour of Materials :
i. Mild Steel
ii. High Strength Steels
iii. Concrete
iv. Other Materials
v. Ductility
vi. Elastic and Plastic Ranges
5. Factor of Safety
6. Elongation of a Bar
7. Principle of Superposition
8. Members with Varying Cross Section
9. Compound Bars :
i. Stresses in Compound Bars
ii. Apparent Elasticity Modulus
10. Thermal Stresses :
i. Thermal Stresses in Simple Bars
ii. Thermal Stresses in Compound Bars
11. Poisson's Ratio
12. Bulk Modulus
13. NonLinear Elasticity
14. Summary
15. Exercises
II. IMPACT LOADING AND STRAIN ENERGY :
Introduction
1. Impact Loading
2. Work and Energy of a System :
i. External Work
ii. Internal Work
iii. Energy Principle
3. Impact Loads
4. Summary
5. Exercises
III. SHEAR STRESSES :
Introduction
1. Types of Direct Shear
2. Shear Stress
3. Complementary Shear
4. Shear Strain
5. Rigidity Modulus
6. Joints in Steel Structures :
i. Riveted and Bolted Joints
a. Strength in Shear
b. Strength in Bearing
c. Strength in Tearing
ii. Efficiency of Joints
7. Welded Joints
8. Strain Energy
9. Summary
10. Exercises
IV. STRESS AND STRAIN ANALYSIS :
Introduction
1. Conventions and Notation
i. Direct Stresses
ii. Shear Stresses
iii. Inclination of Planes
2. Simple Stress Condition
3. Pure Shear Stress
4. BiAxial Stress Condition
5. General Stress Analysis (Combined Biaxial and Shear Stresses)
6. Relation between Young's Modulus and Rigidity Modulus
7. Mohr's Stress Circle :
a. Negative Shear Stresses
8. ThreeDimensional Stress Analysis :
i. Stresses at a Point
ii. Principal Stresses and Planes
iii. Mohr's Circle
9. Strain Analysis :
i. Strains in an Arbitrary Direction
ii. Principal Strains
iii. Mohr's Strain Circle
iv. Principal Stresses from Strains
10. Failure Theories :
i. Maximum Principal Stress Theory (Rankine's Theory)
ii. Maximum Shear Stress Theory (Tresca's, Coulomb's, Guest's Theory)
iii. Maximum Shear Strain Energy Theory (Mises', Huber's and Hencky's Theory)
iv. Maximum Strain Energy Theory (Haigh's Theory)
v. Maximum Principal Strain Theory (St. Venant's Theory)
vi. Comparison of the Theories
11. Summary
12. Exercises
V. ANALYSIS OF BEAMS :
Introduction
1. Types of Beams
2. Loading on Beams
3. Forces on a Beam Section :
i. Shear Force and Bending Moment
ii. Convention for Shear Force and Bending Moment
iii. Bending Moment and Shear Force Diagrams
4. Relation between Load, Shear Force and Bending Moment :
i. Relation between Load and Shear Force
ii. Relation between Shear Force and Bending Moment
5. Summary
6. Exercises
VI. FLEXURAL ANALYSIS OF BEAMS :
Introduction
1. Assumptions of Bending Theory
2. EulerBernoulli's Bending Equation
3. Moment of Inertia :
i. Theorem of Parallel Axes
ii. Theorem of Perpendicular Axes
4. Moments of Inertia of Arbitrary Sections :
i. Alternative Method
5. Moments of Inertia about Arbitrary Axes
6. Moments of Inertia of a Rectangle about Arbitrary Axes
7. Composite Beams :
i. Analysis of Composite Beams
ii. Flexural Rigidity of Beams
8. Flexural Shear Stresses :
i. Shear Stress Analysis
ii. Distribution of Shear Stresses
iii. Transverse and Longitudinal Shear
iv. Shear Centre
9. Section Modulus
10. Radius of Gyration and Slenderness Ratio
11. NonLinear Elasticity
12. Summary
13. Exercises
VII. COMBINED STRESSES :
Introduction
1. Analysis :
i. Eccentricity in one Direction
ii. Eccentricity in two Directions
2. Kern of a Section :
i. Rectangular Section (Middle Third Rule)
ii. Circular Section (Middle Quarter Rule)
3. NonPrismatic Members
4. Prestressed Structures
5. Summary
6. Exercises
VIII. TORSIONAL STRESSES :
Introduction
1. Torsion Analysis :
i. Assumptions of Torsion Analysis
ii. Torsion Equation
iii. Polar Moment of Inertia :
a. Solid Circular Section
b. Hollow Circular Section
c. Thin Circular Tube
d. Longitudinal Stresses in Shafts
2. Strain Energy in Elastic Shafts
3. Power Transmission by Shafts
4. NonPrismatic Shafts
5. NonCircular Sections :
i. Rectangular Section
ii. Flanged Beams
6. Thinwalled closed sections 287
7. Comparison of Open and Closed Sections
8. Multi Cell Closed Sections
9. Combined Torsion and Bending :
i. Solid Circular Shafts
ii. Other Sections
10. Compound shafts
11. Shaft Couplings :
i. Sleeve Coupling
ii. Hanged Coupling
iii. Efficiency of Couplings
12. Shear Keys
13. Summary
14. Exercises
IX. DEFLECTIONS IN BEAMS :
Introduction
1. Beam Differential Equation
2. Boundary Conditions :
i. Fixed end Conditions
ii. Simply Supported end Conditions
iii. Intermediate Support Conditions
iv. Section of Symmetry
v. Section of Antimetry
3. Method of Integration :
i. Direct Method
ii. Macaulay's Method
iii. Limitations of the Method
4. Moment Area Method :
i. Theorem I
ii. Theorem II
iii. Limitations of the Method
5. Conjugate Beam Method :
i. Theorem I
ii. Theorem II
iii. Limitations of the Method
6. Energy Methods :
i. Strain Energy due to Bending :
a. Flexural Direct Stresses
b. Flexural Shear Stresses
ii. Application of Energy Methods
iii. Limitations of the Method
7. Reciprocal Theorem :
i. Maxwell's Theorem
ii. MaxwellBetti's Theorem
8. Flexural and Torsional Effects
9. Summary
10. Exercises
X. Statically Indeterminate Beams :
Introduction
1. Methods of Analysis
2. Direct Method of Analysis
3. Points of Inflection
4. Method of Flexibility Coefficients :
i. Determinate forms of a Structure
ii. Compatibility Conditions
iii. Procedure of Analysis
iv. Limitations of the Method of Flexibility Coefficients
5. Theorem of Three Moments :
i. Development of the Theorem
ii. Procedure of Analysis
iii. Limitations of the Method
6. Computation of Shear Forces
7. Advantages and Disadvantages of Indeterminate Beams
8. Summary
9. Exercises
XI. DETERMINATE ARCHES AND FRAMES :
Introduction
1. Arches :
i. Pressure Lines
ii. Eddy's Theorem
iii. ThreeHinged Parabolic Arches
iv. Axial Force and Radial Shear Force
v. ThreeHinged Circular Arches
2. Frames :
i. Analysis of Frames
ii. Conventions and Notation
3. Summary
4. Exercises
XII. TRUSSES :
Introduction
1. Assumptions of Truss Analysis
2. Configurations of Plane Trusses :
i. Roof Trusses
ii. Bridge Trusses
3. Statical Indeterminacy of Trusses
4. Conventions and Notation
5. Analysis of Plane Trusses :
i. Method of Joints
ii. Method of Sections
iii. Method of Tension Coefficients :
a. The concepts of Tension Coefficients
b. The Procedure
6. Space Trusses :
i. Degree of Redundancy
ii. Analysis of Space Trusses
7. Members of Zero Forces :
i. Plane Trusses
ii. Space Trusses
8. Advantages and Disadvantages of Trusses
9. Summary
10. Exercises
XIII. CYLINDERS AND SPHERICAL SHELLS :
Introduction
1. Thin Cylinders :
i. Assumptions of Analysis
ii. Analysis
2. Thin Spheres
3. Thin Cylinders with Spherical Ends
4. Volumetric Strain
5. Prestress in Cylinders :
i. Circumferential Prestress
ii. Longitudinal Prestress
6. Cylinders under Combined Loading
7. Thick Cylinders :
i. Assumptions
ii. Analysis :
a. External Pressure is Zero
b. Error in Thin Cylinder Theory
8. Design of Cylinders :
i. Maximum Principal Stress Criterion
ii. Maximum Shear Stress Criterion
iii. Maximum Shear Strain Energy Criterion
iv. Maximum Strain Energy Criterion
v. Maximum Principal Strain Criterion
9. Compound Cylinders :
i. Analysis
ii. Diametral Interference
10. Spherical Shells :
i. Analysis
ii. Shells under Crown Load
iii. Shell under SelfWeight
iv. Shell under SnowLoading
11. Summary
12. Exercises
XIV. COLUMNS AND STRUTS :
Introduction
1. Axially Loaded Long Columns :
i. Column with both Ends Hinged :
a. Euler's Curve
b. Critical Length of Columns
c. Elastic Instability
ii. Columns with both ends Fixed
iii. Columns with one end fixed and the other Hinged
iv. Columns with one end fixed and the other free
v. Buckling Load for General end Conditions
2. Long Columns with Eccentric Loading :
i. Columns with Hinged Ends
ii. Columns with one end Fixed and the other Free
iii. Hinged columns with Eccentric Load at one end
3. Struts with Lateral Loading :
i. Struts with a Lateral MidSpan Load
ii. Struts with Lateral Distributed Load
iii. Struts with Lateral Distributed Load and Eccentric Axial Load
4. Columns with Initial Curvature
5. Limitations of Euler's Theory
6. Empirical Formulae :
i. RankineGordon's Formula
ii. Johnson's Parabolic Formula
iii. Johnson's Straight Line Formula
iv. RankineMerchant's Formula
v. Perry Robertson's Formula
7. NonPrismatic Struts
8. Columns with Partial Restraints :
i. Fixedfree column with Lateral Restraint at the free end
ii. Pinended Column with Partial Restraint Against Rotation
9. Summary
10. Exercises
XV. SPRINGS :
Introduction
1. Helical Springs :
i. Close Coiled Helical Springs :
a. Axial Loading
b. Axial Torque
ii. Open Coiled Helical Springs :
a. Axial Loading
b. Axial Torque
2. Compound Springs :
i. Springs Placed Side by Side
ii. Springs Connected Axially
3. Conical Springs
4. Leaf springs :
i. SemiElliptic Leaf Springs
ii. QuarterElliptic Leaf Springs
5. Flat Spiral Spring
6. Summary
7. Exercises