000			09103nam a2200157Ia 4500
020			_a8120343093
082			_a624.171 _bDAS
100			_aDas, Madan Mohan & others
245			_aStructural analysis
260			_aNew Delhi _bPHI Learning Pvt Ltd _c2011
300			_axiii,326p.
500			_aPreface xi Acknowledgements xiii PART 1 1. Bending Moment and Shear Force Diagrams for Statically Determinate Beams3-37 1.1 Introduction 3 1.2 Statically Determinate Beams 3 1.3 Determinate Beams4 1.4 Types of Loading on Beams 5 1.5 Shear Force and Bending Moment 5 1.6 Sign Conventions of S.F. and B.M.5 1.7 Analytical Method of Shear Force Diagram (S.F.D.) and Bending Moment Diagram (B.M.D.) of Some Beams 6 1.7.1 Simply Supported Beam with One Concentrated Load 7 1.7.2 Simply Supported Beam with Uniformly Distributed Load (U.D.L.) in the Whole Span 10 1.7.3 Simply Supported Beam with Uniformly Varying Load (U.V.L.) 13 1.7.4 Cantilever Beam with Concentrated Load at Free End14 1.7.5 Cantilever Beam with U.D.L. Over the Whole Span 75 1.7.6 Cantilever Beam with Uniformly Varying Load (U.V.L.) over Whole Span16 1.7.7 Overhanging Beam with a Concentrated Load at Free End 17 1.8 Simple Bending Theory 28 1.8.1 Nature of Stresses in Beam 28 1.8.2 Bending Equations 28 1.8.3 Relationship among Bending Stress, Radius of Curvature R and Modulus of Elasticity E 29 1.8.4 Relationship among M, R, E,f,y and / 30 1.9 Location of Neutral Axis31 1.10Maximum Moment of a Section32 1.11 Section Moduli of Standard Sections33 1.11.1 Section Modulus of Rectangular Section33 1.11.2 Section Modulus of Triangular Section34 1.11.3 Section Modulus of Hollow Rectangular Section 34 1.11.4 Section Modulus of Circular Section 35 1.11.5 Section Modulus of Hollow Circular Section 35 1.12Conclusion 36 Exercises36 2. Analysis of Statically Determinate Structures 38-56 2.1 Introduction 38 2.2 Classification of Frames or Trusses 39 2.3 Assumptions Made in the Determination of Forces in Members 40 2.4 Methods of Finding the Forces in Members 40 2.5 Methods of Sections 40 2.6 Method of Joints 41 2.7 Cantilever Trusses 44 2.8 Three-hinged Arches 46 2.9 Effect of Temperature on Three-hinged Arch 52 2.10 Effect of Temperature on Horizontal Thrust 53 2.11 Conclusion 54 Exercises54 3. Work-Energy Principle57 3.1 Introduction 57 3.2 Strain Due to Axial Loading 57 3.3 Strain Due to Bending Moment 58 3.4 Concept of Virtual Work 62 3.4.1 Application of Virtual Work in Beam63 3.4.2 Application of Virtual Work in Lifting Machine 64 3.4.3 Application of Virtual Work in Framed Structures 65 3.4.4 Application of Virtual Work in Ladder 67 3.5 Maxwell's Reciprocal Deflection Theorem 69 3.6 Maxwell-Betti's Theorem70 3.7 Conclusion72 Exercises72 4. Slope and Deflection of Beams 74-93 4.1 Introduction74 ' 4.2 Relationship among Angle of Deflection, Cu -vature, and Bending Moment74 4.3 Relationship among Slope, Deflection, and Radius of Curvature 75 4.4 Deflection and Slope of Beam Under Different Loading77 4.4.1 Cantilever Beam with Point Load at Free End77 4.4.2 Cantilever Beam with Point Load Not at Free End79 4.4.3 Cantilever Beam with Uniformly Distributed Load 80 4.4.4 Simply Supported Beam with Point Load at Centre 81 4.4.5 Simply Supported Beam with Point Load not at Centre 83 4.4.6 Simply Supported Beam with Uniformly Distributed Load 84 4.5 Moment Area Method 89 4.5.1 Cantilever Beam with Point Load at the Free End 91 4.5.2 Cantilever Beam with Uniformly Distributed Load 92 4.6 Conclusion 92 Exercises93 5. Deflection of Perfect Frames 94-113 5.1 Introduction 94 5.2 Types of Deflection 94 5.3 Unit Load Method for Deflection 94 5.4 Castigliano's First Theorem98 5.5 Macaulay's Method707 5.6 Conclusion110 Exercises111 6. Columns 114-142 6.1 Introduction114 6.2 Failure of Column114 6.3 Failure of Short and Long Columns 114 6.4 Euler's Column Theory776 6.5 End Conditions for Long Column and Sign Conventions 116 6.6 Equations of Crippling Load777 6.6.1 When Both Ends are Hinged 77 7 6.6.2 When One End is Fixed and Other End is Free 118 6.6.3 When Both Ends are Fixed720 6.6.4 When One End is Fixed and Other End is Hinged727 6.7 Effective Length of Column123 6.8 Slenderness Ratio of Column723 6.9 Limitations of Euler's Formula 124 6.10Empirical Formulae of Columns 729 6.10.1Rankine's Formula 729 6.10.2 Johnson's Straight Line Formula for Column 732 6.10.3 Johnson's Parabolic Formula for Column133 6.10.4 Column Design by Indian Standard (I.S.) Code733 6.11 Column with Eccentric Load134 6.11.1Eccentric Load on Euler's Formula134 6.11.2 Eccentric Load on Rankine's Formula138 6.12Column with Initial Curvature139 6.13Conclusion 141 Exercises141 7. Conjugate Beam Method 143-157 7.1 Introduction 143 7.2 Conjugate Beam Method 143 7.3 Simply Supported Beam with Point Load at Centre143 7.4 Simply Supported Beam with Eccentric Point Load145 7.5 Simply Supported Beam with U.D.L.146 7.6 Cantilever Beam Point Load at Free End 148 7.7 Cantilever Beam with U.D.L. on the Span L 149 7.8 Conclusion756 Exercises 156 PART II 8. Fixed Beams 161-183 8.1 Introduction 161 8.2 Advantages of Fixed Beams 161 8.3 Bending Moment Diagram of Fixed Beam762 8.4 Slope and Deflection of Fixed Beam with a Point Load at Centre 164 8.5 Slope and Deflection of Fixed Beam with Eccentric Point Load 767 8.6 Slope and Deflection of Fixed Beam with U.D.L. Over the Whole Span 7 70 8.7 Slope and Deflection of Fixed Beam with Uniformly Varying Load (U.V.L.) over the Whole Span 7 77 8.8 Fixed Beam with Ends at Different Levels (Effect of Sinking Support) 7 77 8.9 Effect of Rotation of One End of a Beam 1 79 8.10Conclusion182 Exercises182 9. Continuous Beam 184-202 9.1 Introduction184 9.2 Clapeyron's Three-moment Theorem184 9.3 Application of Clapeyron's Equation in Continuous Beam with Simply Supported End187 9.4 Application of Clapeyron's Equation in Continuous Beam with Fixed End Supports797 9.5 Application of Clapeyron's Equation in Continuous Beam with Span Overhanging796 9.6 Application of Clapeyron's Equation in Continuous Beam with a Sinking Support199 9.7 Conclusion 201 Exercises201 10. Two-hinged Arches 203-224 10.1Introduction 203 10.2Equation of Horizontal Thrust 203 10.3Types of Two-hinged Arches 205 10.3.1Horizontal Thrust Equation of Parabolic Arch 205 10.3.2 Horizontal Thrust Equation of Circular Arch 272 10.4Horizontal Thrust of Yielding Supports of Two-hinged Arch 216 10.5Horizontal Thrust Due to Rise of Temperature on Two-hinged Arch 277 10.6Effect of Rib Shortening of Two-hinged Arch 220 10.7Conclusion 223 Exercises223 11. Indeterminacy of Structures 225-241 11.1 Introduction 225 11.2 Degree of Statical Indeterminacy 225 11.3 Principle of Least Work (the Second Theorem of Castigliano) 228 11.4 Maxwell's Method to Determine the Forces in Redundant Frames 233 11.5 Analysis of Error of Redundant Frame due to Lack of Fit 236 11.6 Conclusion 239 Exercises239 12. Moment Distribution Method 242-263 12.1Introduction 242 12.2Moment Distribution Method 242 12.3Moment Distribution in Simple Frame 253 12.4Moment Distribution in Simple Portal Frame 254 12.4.1Symmetrical Portal Frame 255 12.4.2 Unsymmetrical Portal Frame 259 12.5Conclusion 262 Exercises262 13. Suspension Girder Bridge 264-287 13.1 Introduction 264 13-2 Equation of the Cable 265 13.3 General Cable Theorem 266 13.4 Horizontal Reaction for Uniformly Loaded Cable 267 13.5 Tension in the Cable Supported at the Same Level 269 13.6Tension in the Cable Supported at Different Levels 269 13.7Length of the Cable when Supported at the Same Level 277 13.8Suspension Cable on Guide Pulley Support 277 13.9Suspension Cable on Roller Support 277 13.10 Temperature Effect on Cable 2 79 13.11 Stiffening Girder in Suspension Bridge 281 13.12 Two-hinged Girder Suspension Bridge 281 13.13 Three-hinged Girder Suspension Bridge 284 13.14 Conclusion 287 Exercises287 14. Masonry Dams and Retaining Walls 288-324 14.1 Introduction 288 14.2Different Types of Dam 289 14.3Gravity Dam: Stability and Stress Analysis 289 14.3.1Stability Analysis 290 14.3.2 Stress Analysis at Toe and Heel 291 14.4Elementary or Theoretical Profile of Gravity Dam 299 14.5Safe Base Width of Masonry Dam 300 14.5.1Base Width b on Minimum Stress Criterion 300 14.5.2 Base Width b on Minimum Sliding Criterion 301 14.6Practical Profile of Gravity Dam 302 14.7High and Low Gravity Dam 302 14.8Arch Dam 308 14.8.1Classification of Arch Dam309 14.9Thin Cylinder Theory of Design of Arch Dam 309 14.10 Elastic Theory of Design of Arch Dam 311 14.11 Retaining Wall: Active and Passive Earth Pressures313 14.11.1 Active Earth Pressure 313 14.11.2 Passive Earth Pressure 314 14.12 Rankine's Theory for Active Earth Pressure 314 14.13 Surcharged Retaining Wall 318 14.14 Conclusion 322 Exercises 323 Index 325-326
890			_aIndia
891			_aSchool of Building Science & Technology, CEPT Uni.
999			_c32329 _d32329