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MECHANICS OF STRUCTURES VOL.
II
[ Theo ry an d an aly s i s o f s t r u c t u r es ]
By Dr. H. J. Shah, S. B. Junnarkar
` 325.00
BUY
Edition ISBN Size Binding Pages
: 24th Edition : 2015 : 9789385039027 : 135 mm × 210 mm : Paperback : 970 + 16 = 986
About the book
CONTENT
This text-book published in continuation of its Vol. I. This volume discusses the theory and analysis of structures in comprehensive and lucid manner.
1 : INFLUENCE LINES FOR BEAMS
This book is written by an eminent author who had an experience of over thirty years in the teaching of the subject, and now, it is revised and enlarged by the experienced teacher.
3 : INFLUENCE LINES FOR TRUSSES
The book within its 21 chapters now contains more than:
5 : CABLES AND SUSPENSION BRIDGES
* 400 Fully solved problems * 440 Examples with answers * 640 Neatly drawn diagrams
It is published entirely in SI Units. It is hoped that this edition will prove extremely useful to the students of Civil, Mechanical and Architecture Engineering reading for Degree Examinations of all the Universities of India, Diploma Examinations conducted by various Boards of Technical Examinations, also Certificate Courses, as well as for the A.M.I.E., U.P.S.C., G.A.T.E., I.E.S. and other similar competitive and professional Examinations. It should also prove of great interest and practical use to the practising engineers.
2 : ROLLING LOADS 4 : MASONRY DAMS AND RETAINING WALLS 6 : THREE HINGED ARCHES 7 : FORCES IN FRAMED STRUCTURES 8 : INDETERMINATE STRUCTURES 9 : DEFLECTIONS I 10 : DEFLECTIONS II 11 : CONSISTENT DEFORMATION I 12 : CONSISTENT DEFORMATION II 13 : LEAST WORK AND THEOREM OF THREE MOMENT 14 : INDETERMINATE ARCHES 15 : SLOPE DEFLECTION METHOD 16 : MOMENT DISTRIBUTION METHOD 17 : COLUMN ANALOGY METHOD 18 : THE ELASTIC CENTRE 19 : THE RECIPROCAL THEOREM 20 : PLASTIC THEORY 21 : INTRODUCTION TO MATRIX METHODS OF ANALYSIS Index
Checklist Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
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MECHANICS OF STRUCTURES VOL. II Detailed Contents Chapter 1 INFLUENCE LINES FOR BEAMS 1-1. Introductory 1-2. Influence line 1-3. Influence lines for simple beam reactions 1-4. Influence lines for simple beam shears 1-5. Influence lines for simple beam moments 1-6. Uses of influence lines 1-7. Influence lines for girders with floor joists 1-8. Compound beams 1-9. Closure Examples I Chapter 2 ROLLING LOADS 2-1. Rolling loads 2-2. Maximum shear in a beam supporting uniformly distributed loads 2-3. Maximum bending moments at sections in beams supporting uniformly distributed load 2-4. Maximum shear at sections in a beam supporting two concentrated loads 2-5. Maximum moment at sections in a beam supporting two concentrated loads 2-6. Maximum end shear in a beam supporting a series of moving concentrated loads 2-7. Maximum shear at sections of beams supporting a series of moving concentrated loads 2-8. Maximum moment at a section in a beam supporting a series of moving concentrated loads 2-9. Absolute maximum moment in a beam supporting a series of moving concentrated loads 2-10. Maximum S.F. and maximum B.M. diagrams 2-11. Equivalent uniformly distributed load 2-12. Combined dead load and moving load S.F. diagrams: Focal length Examples II Chapter 3 INFLUENCE LINES FOR TRUSSES 3-1. Introductory 3-2. Bridge floor system 3-3. Influence lines for truss reactions 3-4. Influence lines for member forces 3-5. Determination of maximum forces 3-6. Counters in bridge trusses 3-7. Influence lines for non-parallel chord trusses Examples III Chapter 4 MASONRY DAMS AND RETAINING WALLS 4-1. Water pressure 4-2. Conditions of stability 4-3. The minimum bottom width for stability 4-4. Trapezoidal section with a sloping water face 4-5. Other forms of section 4-6. Resultant thrust outside the middle third 4-7. Retaining walls 4-8. The inclined plane 4-9. Rankine’s theory of earth pressure 4-10. Retaining wall of trapezoidal section, earth level with the top of the wall 4-11. Surcharged retaining wall 4-12. Graphical methods 4-13. Wedge theory of earth pressure: Rebhann – Häseler’s method 4-14. Minimum depth of foundation Examples IV
Chapter 5 CABLES AND SUSPENSION BRIDGES 5-1. Equilibrium of a light suspended cord under a given system of loading 5-2. Shape of the cord 5-3. Light suspension bridges 5-4. Cable supports at different levels 5-5. Anchor cables 5-6. Temperature stresses 5-7. The Catenary 5-8. Moving loads on suspension bridges 5-9. Suspension bridge with three hinged stiffening girders 5-10. Two hinged stiffening girder 5-11. Temperature stresses in stiffening girder Examples V Chapter 6 THREE HINGED ARCHES 6-1. Metal arches 6-2. Linear arch or line of thrust 6-3. Bending moments: Eddy’s theorem 6-4. Three hinged arch 6-5. Braced three hinged arch 6-6. Graphical methods 6-7. Moving loads on three hinged arches 6-8. Temperature effects Examples VI Chapter 7 FORCES IN FRAMED STRUCTURES 7-1. Framed structures with sub-divided panels 7-2. Pratt truss with parallel chords and sub-struts: through type 7-3. Pratt truss with parallel chords and sub-ties: deck type 7-4. Pratt truss with non-parallel chords 7-5. Warren truss with sub-divided panels 7-6. Rolling loads: Influence lines 7-7. Pratt truss with inclined chord: Influence lines 7-8. The Wichert Truss 7-9. Dynamical loads on bridges: Impact allowance 7-10. Wind pressure 7-11. Working stresses Chapter 8 INDETERMINATE STRUCTURES 8-1. Determinateness of the structure 8-2. Use of indeterminate structures 8-3. Methods of analysis 8-4. Approximate analysis of indeterminate structures 8-5. Truss with two hinges 8-6. Trusses with two diagonals in each panel 8-7. Industrial frame 8-8. Building frames subjected to gravity loads 8-9. Building frames subjected to lateral loads 8-10. The portal method 8-11. The cantilever method 8-12. Vierendeel truss Examples VIII Chapter 9 DEFLECTIONS I 9-1. Introductory 9-2. Moment area method 9-3. Method of elastic weights 9-4. Conjugate beam method 9-5. Virtual work — unit load method: Basic formula 9-6. The unit load method applied to deflections of beams and frames 9-7. The unit load method applied to beam rotations 9-8. Strain energy 9-9. Castigliano’s first theorem 9-10. Castigliano’s first theorem applied to beam deflections and rotations Examples IX
Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
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MECHANICS OF STRUCTURES VOL. II Detailed Contents Chapter 10 DEFLECTIONS II Deflection of framed structures 10-1. The unit load method applied to deflections of trusses 10-2. The first theorem of Castigliano 10-3. Graphical methods: Williot-Mohr diagrams 10-4. Maxwell’s theorem of reciprocal deflections 10-5. Influence line for deflection Examples X Chapter 11 CONSISTENT DEFORMATION I 11-1. The method of consistent deformation 11-2. Beams with one redundant 11-3. Beams with two or more redundants 11-4. Continuous beams 11-5. Fixed beams 11-6. Support settlement 11-7. Influence lines for indeterminate beams 11-8. Qualitative influence lines Examples XI Chapter 12 CONSISTENT DEFORMATION II Analysis of indeterminate trusses 12-1. Externally redundant trusses 12-2. Internally redundant trusses 12-3. Externally and internally redundant trusses 12-4. Secondary forces 12-5. Influence lines for statically indeterminate trusses Examples XII Chapter 13 LEAST WORK AND THEOREM OF THREE MOMENT 13-1. The second theorem of Castigliano: Principle of least work or minimum strain-energy 13-2. Portal frames 13-3. The three moment theorem 13-4. Support settlement Examples XIII Chapter 14 INDETERMINATE ARCHES 14-1. Bending of a curved bar 14-2. Two-hinged arch 14-3. Moving loads on two-hinged arches 14-4. Temperature stresses 14-5. Fixed arch 14-6. Temperature stresses 14-7. Two-hinged arch: Strain energy method 14-8. Suspension cable with a two-hinged stiffening girder 14-9. The masonry arch 14-10. Fuller’s test for stability of an arch Examples XIV Chapter 15 SLOPE DEFLECTION METHOD 15-1. Introduction 15-2. Sign conventions 15-3. Development of slope deflection equations: Assumptions 15-4. Modification for simple ends 15-5. Frames with no side-sway 15-6. Frames with side-sway Examples XV Chapter 16 MOMENT DISTRIBUTION METHOD 16-1. Introductory 16-2. Description of the method 16-3. Carry-over moment
16-4. Distribution factors 16-5. Definitions 16-6. Sign conventions 16-7. Fixed end moments 16-8. Application of method 16-9. Modification of stiffness for simple ends 16-10. Shear and moment diagrams 16-11. Overhanging beams Moment distribution for frames 16-12. Frames with side-sway prevented 16-13. Frames with side-sway 16-14. Portal frames with inclined members Examples XVI Chapter 17 COLUMN ANALOGY METHOD 17-1. Introductory 17-2. The method 17-3. Stiffness and carry-over factor 17-4. Maxwell’s reciprocal law 17-5. Analysis of frames by column analogy method 17-6. Analysis of gable frames 17-7. Analysis of unsymmetrical frames Examples XVII Chapter 18 THE ELASTIC CENTRE 18-1. Introductory 18-2. The fixed-base portal frame 18-3. The elastic centre 18-4. Fixed arches 18-5. Circular arch 18-6. Two-hinged arches Examples XVIII Chapter 19 THE RECIPROCAL THEOREM 19-1. Introductory 19-2. The reciprocal theorem 19-3. Influence coefficients 19-4. Proof 19-5. Models Examples XIX Chapter 20 PLASTIC THEORY 20-1. Limit design: Load factor 20-2. Plastic bending: Plastic hinge: Shape factor 20-3. Simply supported beams 20-4. Propped cantilevers 20-5. Encastré beams 20-6. Design of beams 20-7. Continuous beams 20-8. Portal frames 20-9. Analytical methods: Virtual work 20-10. Combined bending and axial load Examples XX Chapter 21 INTRODUCTION TO MATRIX METHODS OF ANALYSIS 21-1. Actions and displacements 21-2. Equilibrium and compatibility 21-3. Static and kinematic indeterminacy 21-4. Structural mobilities 21-5. Flexibility and stiffness 21-6. General case 21-7. Closure Index
Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
Follow us:
II
[ Theo ry an d an aly s i s o f s t r u c t u r es ]
By Dr. H. J. Shah, S. B. Junnarkar
` 325.00
BUY
Edition ISBN Size Binding Pages
: 24th Edition : 2015 : 9789385039027 : 135 mm × 210 mm : Paperback : 970 + 16 = 986
About the book
CONTENT
This text-book published in continuation of its Vol. I. This volume discusses the theory and analysis of structures in comprehensive and lucid manner.
1 : INFLUENCE LINES FOR BEAMS
This book is written by an eminent author who had an experience of over thirty years in the teaching of the subject, and now, it is revised and enlarged by the experienced teacher.
3 : INFLUENCE LINES FOR TRUSSES
The book within its 21 chapters now contains more than:
5 : CABLES AND SUSPENSION BRIDGES
* 400 Fully solved problems * 440 Examples with answers * 640 Neatly drawn diagrams
It is published entirely in SI Units. It is hoped that this edition will prove extremely useful to the students of Civil, Mechanical and Architecture Engineering reading for Degree Examinations of all the Universities of India, Diploma Examinations conducted by various Boards of Technical Examinations, also Certificate Courses, as well as for the A.M.I.E., U.P.S.C., G.A.T.E., I.E.S. and other similar competitive and professional Examinations. It should also prove of great interest and practical use to the practising engineers.
2 : ROLLING LOADS 4 : MASONRY DAMS AND RETAINING WALLS 6 : THREE HINGED ARCHES 7 : FORCES IN FRAMED STRUCTURES 8 : INDETERMINATE STRUCTURES 9 : DEFLECTIONS I 10 : DEFLECTIONS II 11 : CONSISTENT DEFORMATION I 12 : CONSISTENT DEFORMATION II 13 : LEAST WORK AND THEOREM OF THREE MOMENT 14 : INDETERMINATE ARCHES 15 : SLOPE DEFLECTION METHOD 16 : MOMENT DISTRIBUTION METHOD 17 : COLUMN ANALOGY METHOD 18 : THE ELASTIC CENTRE 19 : THE RECIPROCAL THEOREM 20 : PLASTIC THEORY 21 : INTRODUCTION TO MATRIX METHODS OF ANALYSIS Index
Checklist Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
Follow us:
MECHANICS OF STRUCTURES VOL. II Detailed Contents Chapter 1 INFLUENCE LINES FOR BEAMS 1-1. Introductory 1-2. Influence line 1-3. Influence lines for simple beam reactions 1-4. Influence lines for simple beam shears 1-5. Influence lines for simple beam moments 1-6. Uses of influence lines 1-7. Influence lines for girders with floor joists 1-8. Compound beams 1-9. Closure Examples I Chapter 2 ROLLING LOADS 2-1. Rolling loads 2-2. Maximum shear in a beam supporting uniformly distributed loads 2-3. Maximum bending moments at sections in beams supporting uniformly distributed load 2-4. Maximum shear at sections in a beam supporting two concentrated loads 2-5. Maximum moment at sections in a beam supporting two concentrated loads 2-6. Maximum end shear in a beam supporting a series of moving concentrated loads 2-7. Maximum shear at sections of beams supporting a series of moving concentrated loads 2-8. Maximum moment at a section in a beam supporting a series of moving concentrated loads 2-9. Absolute maximum moment in a beam supporting a series of moving concentrated loads 2-10. Maximum S.F. and maximum B.M. diagrams 2-11. Equivalent uniformly distributed load 2-12. Combined dead load and moving load S.F. diagrams: Focal length Examples II Chapter 3 INFLUENCE LINES FOR TRUSSES 3-1. Introductory 3-2. Bridge floor system 3-3. Influence lines for truss reactions 3-4. Influence lines for member forces 3-5. Determination of maximum forces 3-6. Counters in bridge trusses 3-7. Influence lines for non-parallel chord trusses Examples III Chapter 4 MASONRY DAMS AND RETAINING WALLS 4-1. Water pressure 4-2. Conditions of stability 4-3. The minimum bottom width for stability 4-4. Trapezoidal section with a sloping water face 4-5. Other forms of section 4-6. Resultant thrust outside the middle third 4-7. Retaining walls 4-8. The inclined plane 4-9. Rankine’s theory of earth pressure 4-10. Retaining wall of trapezoidal section, earth level with the top of the wall 4-11. Surcharged retaining wall 4-12. Graphical methods 4-13. Wedge theory of earth pressure: Rebhann – Häseler’s method 4-14. Minimum depth of foundation Examples IV
Chapter 5 CABLES AND SUSPENSION BRIDGES 5-1. Equilibrium of a light suspended cord under a given system of loading 5-2. Shape of the cord 5-3. Light suspension bridges 5-4. Cable supports at different levels 5-5. Anchor cables 5-6. Temperature stresses 5-7. The Catenary 5-8. Moving loads on suspension bridges 5-9. Suspension bridge with three hinged stiffening girders 5-10. Two hinged stiffening girder 5-11. Temperature stresses in stiffening girder Examples V Chapter 6 THREE HINGED ARCHES 6-1. Metal arches 6-2. Linear arch or line of thrust 6-3. Bending moments: Eddy’s theorem 6-4. Three hinged arch 6-5. Braced three hinged arch 6-6. Graphical methods 6-7. Moving loads on three hinged arches 6-8. Temperature effects Examples VI Chapter 7 FORCES IN FRAMED STRUCTURES 7-1. Framed structures with sub-divided panels 7-2. Pratt truss with parallel chords and sub-struts: through type 7-3. Pratt truss with parallel chords and sub-ties: deck type 7-4. Pratt truss with non-parallel chords 7-5. Warren truss with sub-divided panels 7-6. Rolling loads: Influence lines 7-7. Pratt truss with inclined chord: Influence lines 7-8. The Wichert Truss 7-9. Dynamical loads on bridges: Impact allowance 7-10. Wind pressure 7-11. Working stresses Chapter 8 INDETERMINATE STRUCTURES 8-1. Determinateness of the structure 8-2. Use of indeterminate structures 8-3. Methods of analysis 8-4. Approximate analysis of indeterminate structures 8-5. Truss with two hinges 8-6. Trusses with two diagonals in each panel 8-7. Industrial frame 8-8. Building frames subjected to gravity loads 8-9. Building frames subjected to lateral loads 8-10. The portal method 8-11. The cantilever method 8-12. Vierendeel truss Examples VIII Chapter 9 DEFLECTIONS I 9-1. Introductory 9-2. Moment area method 9-3. Method of elastic weights 9-4. Conjugate beam method 9-5. Virtual work — unit load method: Basic formula 9-6. The unit load method applied to deflections of beams and frames 9-7. The unit load method applied to beam rotations 9-8. Strain energy 9-9. Castigliano’s first theorem 9-10. Castigliano’s first theorem applied to beam deflections and rotations Examples IX
Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
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MECHANICS OF STRUCTURES VOL. II Detailed Contents Chapter 10 DEFLECTIONS II Deflection of framed structures 10-1. The unit load method applied to deflections of trusses 10-2. The first theorem of Castigliano 10-3. Graphical methods: Williot-Mohr diagrams 10-4. Maxwell’s theorem of reciprocal deflections 10-5. Influence line for deflection Examples X Chapter 11 CONSISTENT DEFORMATION I 11-1. The method of consistent deformation 11-2. Beams with one redundant 11-3. Beams with two or more redundants 11-4. Continuous beams 11-5. Fixed beams 11-6. Support settlement 11-7. Influence lines for indeterminate beams 11-8. Qualitative influence lines Examples XI Chapter 12 CONSISTENT DEFORMATION II Analysis of indeterminate trusses 12-1. Externally redundant trusses 12-2. Internally redundant trusses 12-3. Externally and internally redundant trusses 12-4. Secondary forces 12-5. Influence lines for statically indeterminate trusses Examples XII Chapter 13 LEAST WORK AND THEOREM OF THREE MOMENT 13-1. The second theorem of Castigliano: Principle of least work or minimum strain-energy 13-2. Portal frames 13-3. The three moment theorem 13-4. Support settlement Examples XIII Chapter 14 INDETERMINATE ARCHES 14-1. Bending of a curved bar 14-2. Two-hinged arch 14-3. Moving loads on two-hinged arches 14-4. Temperature stresses 14-5. Fixed arch 14-6. Temperature stresses 14-7. Two-hinged arch: Strain energy method 14-8. Suspension cable with a two-hinged stiffening girder 14-9. The masonry arch 14-10. Fuller’s test for stability of an arch Examples XIV Chapter 15 SLOPE DEFLECTION METHOD 15-1. Introduction 15-2. Sign conventions 15-3. Development of slope deflection equations: Assumptions 15-4. Modification for simple ends 15-5. Frames with no side-sway 15-6. Frames with side-sway Examples XV Chapter 16 MOMENT DISTRIBUTION METHOD 16-1. Introductory 16-2. Description of the method 16-3. Carry-over moment
16-4. Distribution factors 16-5. Definitions 16-6. Sign conventions 16-7. Fixed end moments 16-8. Application of method 16-9. Modification of stiffness for simple ends 16-10. Shear and moment diagrams 16-11. Overhanging beams Moment distribution for frames 16-12. Frames with side-sway prevented 16-13. Frames with side-sway 16-14. Portal frames with inclined members Examples XVI Chapter 17 COLUMN ANALOGY METHOD 17-1. Introductory 17-2. The method 17-3. Stiffness and carry-over factor 17-4. Maxwell’s reciprocal law 17-5. Analysis of frames by column analogy method 17-6. Analysis of gable frames 17-7. Analysis of unsymmetrical frames Examples XVII Chapter 18 THE ELASTIC CENTRE 18-1. Introductory 18-2. The fixed-base portal frame 18-3. The elastic centre 18-4. Fixed arches 18-5. Circular arch 18-6. Two-hinged arches Examples XVIII Chapter 19 THE RECIPROCAL THEOREM 19-1. Introductory 19-2. The reciprocal theorem 19-3. Influence coefficients 19-4. Proof 19-5. Models Examples XIX Chapter 20 PLASTIC THEORY 20-1. Limit design: Load factor 20-2. Plastic bending: Plastic hinge: Shape factor 20-3. Simply supported beams 20-4. Propped cantilevers 20-5. Encastré beams 20-6. Design of beams 20-7. Continuous beams 20-8. Portal frames 20-9. Analytical methods: Virtual work 20-10. Combined bending and axial load Examples XX Chapter 21 INTRODUCTION TO MATRIX METHODS OF ANALYSIS 21-1. Actions and displacements 21-2. Equilibrium and compatibility 21-3. Static and kinematic indeterminacy 21-4. Structural mobilities 21-5. Flexibility and stiffness 21-6. General case 21-7. Closure Index
Charotar Publishing House Pvt. Ltd. Opposite Amul Dairy, Civil Court Road, Post Box No. 65, ANAND 388 001 India Telephone: (02692) 256237, Fax: (02692) 240089, e-mail: [email protected], http://cphbooks.in
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