Mechanics of materials with programs in C
Material type: TextPublication details: New Delhi Prentice Hall of India Pvt. Ltd. 2007Description: xii,396pISBN:- 8120332024
- 620.1 JAY
Item type | Current library | Collection | Call number | Status | Notes | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|---|
Book | CEPT Library Sch. of Building Science & Tech | Faculty of Technology | 620.1 JAY | Available | Status:Catalogued;Bill No:37457 | 003630 |
Preface xi 1. THE BASICS1-9 1.1Introduction 1 1.2Engineering Mechanics and Strength of Materials 2 1.3The Notations 2 1.4External Forces on a Body 3 1.5Equilibrium of a Body 4 1.6Internal Forces of a Body 1.6.1 Tension 4 1.6.2 Compression 5 1.6.3 Shear Force 5 1.7Properties of Materials 1.7.1 Strength 6 1.7.2 Elasticity 7 1.7.3 Plasticity 7 1.7.4 Stiffness 7 1.7.5 Ductility 7 1.7.6 Brittleness 7 1.7.7 Malleability 8 1.7.8 Hardness 8 1.7.9 Resilience 8 1.7.10 Toughness 8 1.7.11 Isotropy 8 1.7.12 Homogeneity 8 Summary 9 Exercises9 2. SIMPLE STRESS AND STRAIN 10-82 2.1Introduction 10 2.2Stress 10 2.2.1 Units of Stress 11 2.2.2 Stress and Pressure 12 2.3The Basic Stresses 12 2.3.1 Tensile Stress 13 2.3.2 Compressive Stress 13 2.3.3 Shearing Stresses 14 2.4Stress Levels 75 2.4.1 Factor of Safety 16 2.5Strain 16 2.6The Basic Strains 17 2.6.1 Normal Strain (Axial Strain) 17 2.6.2 Shear Strain 18 2.7Hooke's Law 18 2.7.1 Shear Modulus or Modulus of Rigidity 19 2.8Poisson's Ratio 19 2.9Elongation of a Prismatic Bar under Tension 20 2.10 Stress-Strain Diagram for Structural Steel 27 2.10.1True Stress-Strain Diagram 23 2.10.2Stress-Strain Diagram for Other Materials 23 2.10.3Proof Stress 24 Illustrative Problems 25 2.11 Two Important Principles 37 2.11.1Principle of Superposition 37 2.11.2Saint Venant's Principle 38 Illustrative Problems 39 2.12 Composite Sections under Axial Loading 47 Illustrative Problems 48 2.13 Temperature Stresses 57 Illustrative Problems 59 2.14 Volume Change 63 2.14.1An Expression for Volumetric Strain 63 2.15 Relationship among Elastic Constants 64 2.15.1Complementary Shear Stress 64 2.15.2Stresses along Diagonals 65 2.15.3Relation between E, C and K 66 Illustrative Problems 68 2.16 Statically Indeterminate Members 72 Illustrative Problems 73 2.17 Assumptions Made in Simple Stress and Strain Theory 76 Summary 76 Exercises 77 ' Annexure:C Programs 78 3. BENDING MOMENT AND SHEAR FORCE IN BEAMS 83-164 3.1Introduction 83 3.2Types of Beam Supports 83 3.3Types of Beams 84 3.4Types of Loading on Beams 85 3.4.1 Concentrated Load 86 3.4.2 Uniformly Distributed Load (UDL) 86 3.4.3 Uniformly Varying Load (UVL) 86 3.4.4 Concentrated Moment 87 3.5The Concept of Moment 87 3.6The Concept of Bending Moment 88 3.6.1 Mathematical Treatment to Bending Moment 90 3.6.2 Sign Convention for Bending Moment 91 3.7The Concept of Shear Force 92 3.7.1 Mathematical Treatment for Shear Force 92 3.7.2 Sign Convention 93 3.8Bending Moment and Shear Force Diagram 93 3.8.1 General Guidelines on Construction of SFD and BMD 94 3.9Beams Loaded with Concentrated Loads Only 94 Illustrative Problems 94 3.10 Beams Loaded with Uniformly Distributed Load 106 3.10.1Relationship among Load Intensity, Shear Force and Bending Moment 706 Illustrative Problems 107 3.11 Beams Subjected to Uniformly Varying Loads 118 Illustrative Problems 118 3.12 Beams Subjected to Concentrated Moments 124 Illustrative Problems 125 3.13 Beams Subjected to Loads of Different Kind 131 3.14 Obtaining Loading Pattern Using SFD and BMD 745 Illustrative Problems 146 Summary 149 Exercises 149 Annexure:C Programs 151 4. BENDING AND SHEAR STRESSES IN BEAMS 165-224 4.1Introduction 765 4.2Bending Stress in Beams 765 4.2.1 Direct Stress and Bending Stress 767 4.2.2 Practical Implications of Bending Strength 768 4.3The Bending Theory 770 4.3.1 Assumptions of Bending Theory 770 4.3.2 Derivation of Bending Equation 777 4.3.3 Flexural Parameters 773 . 4.3.4 Modulus of Rupture 174 4.3.5 Location of Neutral Axis 174 4.3.6 Total Force Contributed by Portion of Cross Section 775 4.3.7 Moment of Resistance Contributed by the Portion of the Cross Section 775 4.3.8 Limitations of Bending Equation 776 Illustrative Problems 176 4.4Shear Stress in Beams 795 4.4.1 Practical Implications of Shear Stress 797 4.4.2 Expression for Horizontal Shear Stress in Prismatic Beams 799 Illustrative Problems 200 Summary 218 Exercises 218 Annexure: C Programs 219 Vlii Contents 5. TORSION OF CIRCULAR SHAFTS 225-247 5.1Introduction 225 5.2Effect of Torque 226 5.2.1 Torque and Bending Moment 228 5.3Torsion Theory 228 5.3.1 Assumptions Made in Theory on Torsion 228 5.3.2 Derivation of Torsion Equation 228 5.3.3 Torsional Parameters 231 5.4Power Transmitted by a Shaft 237 Illustrative Problems 232 Summary 242 Exercises 242 Annexure:C Programs 243 6. DEFLECTION OF BEAMS 248-282 6.1Introduction 248 6.2Mechanism of Deflection 249 6.2.1 Elastic Curve 250 6.2.2 Slope 250 6.2.3 Methods 250 6.3Assumptions Made in Theory of Deflection 250 6.4Differential Equation of the Deflection Curve 257 6.4.1 Sign Convention 252 6.4.2 Shear Force and Intensity of Loading 252 6.5Slope and Deflection for Standard Cases by Double Integration Method 253 6.5.1 Simply Supported Beam Subjected to Concentrated Load at the Centre 253 6.5.2 Simply Supported Beam Subjected to UDL Over the Entire Span 254 6.5.3 Simply Supported Beam Subjected to Equal and Opposite Moments at Ends 256 6.5.4 Cantilever Beam Subjected to a Concentrated Load at the Free End 257 6.5.5 Cantilever Beam Subjected to UDL Over Entire Span 258 Illustrative Problems 260 6.6Macaulay's Method 261 6.6.1 Differences between Double Integration Method and Macaulay's Method 262 6.6.2 Guidelines for Applying Macaulay's Method 263 Illustrative Problems 263 Summary 278 Exercises 279 Annexure: C Programs 279 7. ELASTIC STABILITY OF COLUMNS 283-322 7.1Introduction 283 7.2The Column Behaviour 283 7.2.1 The Slenderness 284 ' 7.2.2 Buckling and Bending 284 7.2.3 End Conditions of Columns 286 7.3Slenderness Ratio 287 7.4Ideal Column 288 7.5Crushing and Buckling 288 7.6Classification of Columns 289 7.7Euler's Theory on Columns 289 7.7.1 Assumptions Made in Euler's Theory 290 7.7.2 Euler's Curve 290 7.8Euler's Formula for Buckling Load on Columns 290 7.8.1 Bending Moment During Buckling 297 7.8.2 Expression for Buckling Load on Column With Both Ends Pinned 297 7.8.3 Both Ends Fixed 294 7.8.4 One End Fixed and Other End Free 296 7.8.5 One End of the Column is Fixed and the Other End is Hinged 298 7.9Limitations of Euler's Theory 300 Illustrative Problems 301 7.10 Rankine's Formula 311 Illustrative Problems 312 7.11 Secant Formula 376 Summary 317 Exercises 317 Annexure:C Programs 317 8. THIN AND THICK WALLED CYLINDERS 323-343 8.1Introduction 323 8.2Thin and Thick Cylinders 323 8.3Thin Cylinders 324 8.3.1 Stresses in the Walls of Thin Cylinder 324 8.3.2 Assumptions Made in the Analysis 325 8.4Relation between Hoop Stress and Longitudinal Stress 325 8.5Design of Thin Cylindrical Shells 327 8.5.1 Cylindrical Shells with Seams 327 8.6Strains in Thin Cylindrical Shells 327 8.7Thin Spherical Shell 329 8.7.1 Strains in a Thin Spherical Shell Due to Internal Pressure 329 Illustrative Problems 330 8.8Thick Cylinders 332 8.8.1 Assumptions Made in the Analysis of Theory on Thick Cylinders 333 8.8.2 Derivation of Lame's Equation 333 Illustrative Problems 335 Summary 340 Exercises 340 Annexure:C Programs 340 9. COMPOUND STRESSES 344-367 9.1Introduction 344 9.2The Concept 344 9.2.1 Direct Stresses 345 9.2.2 Shear Stresses 346 9.2.3 Principal Stresses 346 9.2.4 Plane of Principal Stresses 346 9.2.5 Maximum Shear Stress and Its Plane 346 9.3Analytical Method 347 9.3.1 Stresses on an Inclined Sectional Plane of a Component Subjected to Direct Stress in One Direction 347 9.3.2 Normal and Shear Stress on Inclined Section of a Body Subjected to Stresses in Two Mutually Perpendicular Directions 348 9.3.3 Normal and Shear Stress on a Plane of a Body Subjected to Bi-directional Stresses 350 9.3.4 Stresses on an Inclined Plane of a Body Subjected to a Direct Stress on One Plane Accompanied by a Simple Shear Stress 352 Illustrative Problems 354 9.4Graphical Method 361 Illustrative Problems 363 Summary 364 Exercises 365 Annexure:C Programs 365 10. SPRINGS 368-385 10.1 Introduction 368 10.2 Strain Energy 369 10.3 Types of Springs 369 10.4 Close-Coiled Helical Springs 370 10.4.1Close-Coiled Helical Spring Subjected to Axial Force 370 10.5 Open-Coiled Helical Springs 372 10.6 Carriage Springs 373 10.6.1Semi-elliptic Leaf Springs 375 Illustrative Problems 376 Summary 382 Exercises 382 Annexure:C Programs 383 Answers to Exercises 387-389 References 391-392 Index 393-396
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