Strength of Materials

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This book follows a simple approach, and introduces analytical procedures to analyze various structural members subjected to different types of loading with step-by-step problem-solving procedure is discussed. The book covers some advanced topics like curved beams, shear center, unit load method. Aa exclusive chapter on "Solving through ANSYS" covers the approach and usage of ANSYS software.

Author(s): B. Raghu Kumar
Publisher: CRC Press/BSP
Year: 2022

Language: English
Pages: 299
City: Boca Raton

Cover
Title Page
Copyright Page
Dedication
Preface
Table of Contents
Chapter 1 Simple Stresses and Strains
1.1 Introduction
1.2 Normal Stress and Strain
1.3 Shear Stress and Shear Strain
1.4 Poisson's Ratio
1.5 Stress Strain Diagrams
1.6 Hooke's Law
1.7 Volumetric Strain (Dilation)
1.8 Statically Indeterminate Structures
1.9 Thermal Stresses
Chapter 2 Torsion
2.1 Introduction
2.2 Torsion of Circular Bars
2.3 Power Transmitted by Shaft
2.4 Concept of Pure Shear and Complementary Shear
2.5 Relation between Elastic Constants E and G
2.6 Statically indeterminate Torsional Members
Chapter 3 Principal Stresses
3.1 Introduction
3.2 Stresses on an Inclined Plane
3.3 Principal Stresses
3.4 Maximum Shear Stress
3.5 Mohr's Circle
Chapter 4 Shear Force and Bending Moment
4.1 Introduction
4.2 Definitions
4.3 Types of Beams
4.4 Shear Force and Bending Moment
4.5 Sign conventions
4.6 Shear Force and Bending Moment Diagrams
4.7 Relations between Load, Shear Force and Bending Moment
Chapter 5 Bending Stresses in Beams
5.1 Introduction
5.2 Bending Stress
5.3 Flexure Formula
5.4 Composite Beams
Chapter 6 Shearing Stresses in Beams
6.1 Introduction
6.2 The Shear Stress Distribution
6.3 Shear Stress Distribution in a Rectangular Cross Section
6.4 Shear Stress Distribution in a Circular Cross Section
6.5 Shear Stress Distribution in a Triangular Cross Section
6.6 Shear Stress Distribution in a Symmetrical I Cross Section
Chapter 7 Deflection in Beams
7.1 Introduction
7.2 Differential Equation for Deflection of Beams
7.3 Moment Area Method
7.4 Macaulay's Method
7.5 Cantilever Beam subjected to different Loading Conditions
7.6 Simply supported Beam subjected to different Loads
Chapter 8 Statically Indeterminate Beams
8.1 Introduction
8.2 Analysis by the Differential Equations of Deflection Curve
8.3 Analysis by Moment Area Method
8.4 Propped cantilever beam subjected to different loading conditions
8.5 Fixed Beam Subjected to Different Loading Conditions
8.6 A Fixed Beam with Sinking/Yielding Support
8.7 Continuous Beam
Chapter 9 Pressure Vessels
9.1 Introduction
9.2 Thin spherical Pressure Vessel
9.3 Thin cylindrical Pressure Vessel
9.4 Thick Cylinders
9.5 Lame's equation for Hoop & Circumferential Stresses
9.6 Longitudinal stresses and Maximum Shear Stress
9.7 Radial Strain
9.8 Compound Cylinder
9.9 Necessary difference of Radii for Shrinkage (Shrinkage Allowance)
Chapter 10 Columns and Struts
10.1 Introduction
10.2 Buckling
10.3 Stability
10.4 Slenderness Ratio
10.5 Euler's Crippling of Columns for Different End Conditions
10.5.1 Euler's Crippling Load for Pinned - Pinned End Condition
10.5.2 Euler's Crippling Load for Fixed - Fixed End Condition
10.5.3 Euler's Crippling Load for Fixed - Free End Condition
10.5.4 Euler's Crippling Load for Fixed - Pinned End Condition
10.7 Rankine's Formula
10.8 Columns with Eccentric Loading (Secant Formula)
Chapter 11 Curved Beams
11.1 Introduction
11.2 Winkler - Bach Formula for Curved Beams
11.3 Position of Neutral Axis
11.4 Value of H2
11.5 Values of H2 for Different Cross Sections
11.5.1 Rectangular Cross Section
11.5.2 Circular Cross Section
11.5.3 Triangular Cross Section
11.5.4 Trapezium Cross Section
11.5.5 Un Equal leg I Section
Chapter 12 Centrifugal Stresses
12.1 Introduction
12.2 Rotating Ring
12.3 Rotating Disc
12.4 Disc of Uniform Strength
12.5 Rotating Cylinder
Chapter 13 Shear Center
13.1 Introduction
13.2 Shear Center
13.3 Locating the Shear Center for Channel Section
13.4 Locating the Shear Center for unequal leg I Cross Section
13.5 Locating the Shear Center for a Thin Walled Semi Circular Cross Section
Chapter 14 Unit Load Method
14.1 Introduction
14.2 Unit Load Method
14.3 Procedure to be followed for Unit Load method for Determining the Deflections
Chapter 15 Strain Energy Methods
15.1 Introduction
15.2 Strain Energy
15.3 Castigliano's Theorem
Chapter 16 Solving through ANSYS
16.1 Introduction
16.2 Approaches in ANSYS Software
16.2.1 Preprocessor
16.2.2 Solution Processor
16.2.3 Postprocessor
16.3 Modes of Operation in ANSYS
16.4 Description of ANSYS Menus and Windows
16.5 ANSYS Help System
16.6 Units in ANSYS
16.7 ANSYS Preprocessor
16.7.1 Title
16.7.2 Elements
16.7.3 Real Constants
16.7.4 Material Properties
16.7.5 Modeling
16.7.6 Booleans
16.7.7 Meshing
16.7.8 Boundary Conditions
16.8 Solution
16.9 General Post Processor
16.10 Solved Problems through ANSYS