Theory Of Structures I

1. Introduction and types of structures 5 Minutes _Free

2. Approaches of Structural Analysis 4 Minutes _Free

3. Linearly elastic and Non-linearly elastic structures, Superposition principle 8 Minutes _Free

4. Exam Questions 8 Minutes _Free

1. Introduction (strain energy and complementary energy) 8 Minutes

2. General expression for strain energy (strain energy due to axial stress) 6 Minutes

3. Strain energy due to gradually and suddenly applied loads 5 Minutes

4. Falling or Impact load 6 Minutes

5. Strain energy due to bending 5 Minutes

6. Strain energy due to torsion 4 Minutes

7. Strain energy due to shear 15 Minutes

8. Numerical 1 (impact load) 13 Minutes

9. Numerical 2 (calculation of strain energy) 11 Minutes

10. Numerical 3 (calculation of strain energy) 12 Minutes

11. Numerical 4 (calculation of strain energy, frame structure) 19 Minutes

12. Numerical 5 (deflection calculation by strain energy method or real work method) 7 Minutes

1. Introduction to virtual work 13 Minutes

2. Principle of virtual work (rigid body) 9 Minutes

3. Principle of virtual work (deformable body) 5 Minutes

4. Unit Load Method 9 Minutes

5. The unit load method (application to beam and frame deflection) 13 Minutes

6. Numerical 1 (beam deflection) 11 Minutes

7. Numerical 2 (beam deflection) 14 Minutes

8. Numerical 3 (deflection in frame) 11 Minutes

9. Numerical 4 (deflection in frame) 21 Minutes

10. Numerical 5 (deflection in frame, considering temperature effect) 19 Minutes

11. Effect of misfit and temperature change in addition to direct loading in Truss member 12 Minutes

12. Numerical 6 (unit load method in truss) 26 Minutes

13. Numerical 7 (unit load method in truss) 39 Minutes

1. Topics to be covered 4 Minutes

2. Introduction 7 Minutes

3. Differential equation of flexure 9 Minutes

4. Double Integration method 4 Minutes

5. Calculation of slope and deflection for cantilever beam with point load at its free end (Double Integration method) 11 Minutes

6. Calculation of deflection and slope for simply supported beam loaded with UDL (Double Integration method) 14 Minutes

7. Macaulay's method 14 Minutes

8. Calculation of deflection and slope for a simply supported beam loaded with central point load 14 Minutes

9. Theorems on Area Moment method 9 Minutes

10. Derivations of theorems 9 Minutes

11. Numerical 1 (Moment Area method) 17 Minutes

12. Numerical 2 (Moment Area method) 18 Minutes

13. Numerical 3 (Moment Area method) 25 Minutes

14. Numerical 4 (Moment Area method) 23 Minutes

15. Application of Moment Area method in cantilever beam 7 Minutes

16. Numerical 5 (Moment Area method, overhanging beam) 15 Minutes

17. Numerical 6 (Moment Area method, overhanging beam) 20 Minutes

18. Conjugate Beam method 12 Minutes

19. Derivation of conjugate beam theorems 14 Minutes

20. Sign convention in conjugate beam method 2 Minutes

21. Numerical 7 (Conjugate Beam method) 15 Minutes

22. Numerical 8 (Conjugate Beam method) 26 Minutes

23. Numerical 9 (Conjugate Beam Method, Overhanging beam) 31 Minutes

24. Numerical 10 (Conjugate Beam Method, Overhanging Beam) 20 Minutes

25. Numerical 11 (Conjugate Beam Method, Overhanging Beam) 24 Minutes

26. Numerical 12 (Conjugate Beam Method, Double-sided Overhanging Beam) 30 Minutes

1. Topics to be covered 10 Minutes

2. Moving static loads and influence lines 13 Minutes

3. ILD for statically determinate structures (simply supported beam) 18 Minutes

4. Cantilever beams 15 Minutes

5. Overhanging beam (ILD for support reactions) 21 Minutes

6. Overhanging beam (ILD for SF and BM at CL) 14 Minutes

7. Overhanging beam (ILD for SF and BM at C) 20 Minutes

8. Overhanging beam (ILD for SF and BM at CR) 17 Minutes

9. Use of ILD in Statically Determinate Beams 8 Minutes

10. Numerical 1 (Use of ILD in statically determinate structure) 12 Minutes

11. Numerical 2 (2071 Magh, Concept of ILD in statically determinate beams) 15 Minutes

12. Numerical 3 (2071 Bhadra, Concept of ILD in statically determinate beams) 14 Minutes

13. Influence Line Diagrams for the case of Indirect Load Application (Panel Loadings) 27 Minutes

14. Analysis of Moving Loads in Statically Determinate Structure 7 Minutes

15. Beam Subjected to Moving Single Point Load 16 Minutes

16. Beam Subjected to UDL Longer than Span 16 Minutes

17. Beam Subjected to UDL Shorter than Span 19 Minutes

18. Numerical 4 (Beam Subjected to UDL Shorter than Span) 14 Minutes

19. Beam Subjected to Several Point Loads (condition for maximum SF and BM at a point in beam) 13 Minutes

20. Numerical 5 (Beam Subjected to Several Point Loads) 19 Minutes

21. Beam Subjected to Several Point Loads (conditions for absolute maximum SF and BM in beam) 16 Minutes

22. Numerical 6 (Beam Subjected to Several Point Loads) 10 Minutes

23. Numerical 7 (Beam Subjected to Several Point Loads, Maximum BM under a Point Load) 12 Minutes

24. Numerical 8 (Beam Subjected to Several Point Loads, 2074 Bhadra) 27 Minutes

25. Numerical 9 (Beam Subjected to Several Point Loads) 30 Minutes

26. ILD for Statically Determinate Trusses 10 Minutes

27. Numerical 10, part 1 (ILD for trusses, 2073 Magh) 11 Minutes

28. Numerical 10, part 2 (ILD for trusses, 2073 Magh) 27 Minutes

29. Numerical 10, part 3 (ILD for trusses, 2073 Magh) 11 Minutes

30. Numerical 11 (ILD for trusses, 2072 Magh) 30 Minutes

1. Introduction and Topics to be Covered 8 Minutes

2. Types of Arches 5 Minutes

3. Three Hinged Structures with Supports at Same and Different Levels 16 Minutes

4. Analysis of Three Hinged Arch by Numerical Method 13 Minutes

5. Numerical 1 (Circular Arch) 15 Minutes

6. Numerical 2 (Parabolic Arch) 15 Minutes

7. Numerical 3 (Parabolic Arch) 16 Minutes

8. Numerical 4 (Parabolic Arch, Supports at Different Levels) 18 Minutes

9. Analysis of Three Hinged Arch by Graphical Method (BMD for Arches) 14 Minutes

10. Numerical 5 (BMD for 3-Hinged Arch) 12 Minutes

11. Numerical 6 (BMD for 3-Hinged Arch, Circular, 2070 Magh) 25 Minutes

12. ILD for 3-Hinged Arches (ILD for H) 14 Minutes

13. ILD for Moment at D 13 Minutes

14. ILD for Normal Thrust at D 8 Minutes

15. ILD for Radial Shear at D 7 Minutes

16. Numerical 7 (ILD for 3-Hinged Arches, 2072 Ashwin) 11 Minutes

17. Numerical 8 (ILD for 3-Hinged Arches, 2071 Magh) 40 Minutes

18. Numerical 9 (ILD for 3-Hinged Arches, 2072 Magh) 35 Minutes

19. Maximum Positive BMD in 3-Hinged Parabolic Arches 5 Minutes

20. Maximum Positive BMD in 3-Hinged Parabolic Arch (When a Concentrated Load Moves) 18 Minutes

21. Maximum Positive BMD in 3-Hinged Parabolic Arch (When a Uniformly Distributed Load Moves) 17 Minutes

22. Numerical 10 (Maximum BMD in 3-Hinged Parabolic Arch) 12 Minutes

23. Numerical 11(Maximum BMD in 3-Hinged Parabolic Arch) 15 Minutes

24. Numerical 12 (Maximum BMD in 3-Hinged Circular Arch, 2074 Bhadra) 32 Minutes

1. Introduction and Topics to be Covered 8 Minutes

2. Catenary and Parabolic Cables 3 Minutes

3. General Cases of Parabolic Cables 13 Minutes

4. Cables Subjected to UDL (supports at same level) 21 Minutes

5. Numerical 1 (Cables subjected to UDL, supports at same level) 5 Minutes

6. Cables Subjected to UDL (supports at different levels) 18 Minutes

7. Numerical 2 (Cables subjected to UDL, supports at different levels, 2070 Magh) 9 Minutes

8. Elements of a Simple Suspension Bridge 8 Minutes

9. Stress Determination in Three Hinged Stiffening Girder 22 Minutes

10. Numerical 3 (Suspension Cables with 3-hinged Stiffening Girder) 21 Minutes

11. Numerical 4 (BMD for girder beam, 2071 Bhadra) 26 Minutes

12. Numerical 4 (SFD for same girder beam) 12 Minutes

13. Numerical 5 (BMD and SFD for girder beam when cable has supports at different levels, 2074 Bhadra) 30 Minutes

14. Influence Line Diagrams 19 Minutes

15. Towers Structures, Wind Cables and Ties 12 Minutes

2076 Baisakh

• 1. Q. No. 1.a 6 Minutes
• 2. Q. No. 1.b 22 Minutes
• 3. Q. No. 2.a 5 Minutes
• 4. Q. No. 2.b 17 Minutes
• 5. Q. No. 3.a 10 Minutes
• 6. Q. No. 3.b 16 Minutes
• 7. Q. No. 4.a 11 Minutes
• 8. Q. No. 4.b 19 Minutes
• 9. Q. No. 5.a 8 Minutes
• 10. Q. No. 5.b 15 Minutes

2076 Bhadra

• 1. Q. No. 1.a 7 Minutes
• 2. Q. No. 1.b 15 Minutes
• 3. Q. No. 1.c 16 Minutes
• 4. Q. No. 2.a 3 Minutes
• 5. Q. No. 2.b 34 Minutes
• 6. Q. No. 3.a 19 Minutes
• 7. Q. No. 3.b 24 Minutes
• 8. Q. No. 4.a 24 Minutes
• 9. Q. No. 4.b 9 Minutes
• 10. Q. No. 5 18 Minutes

2077 Chaitra

• 1. Q. No. 1.a 5 Minutes
• 2. Q. No. 1.b 11 Minutes
• 3. Q. No. 1. c 26 Minutes
• 4. Q. No. 2.a 6 Minutes
• 5. Q. No. 2.b 22 Minutes
• 6. Q. No. 3.a 18 Minutes
• 7. Q. No. 3.b 19 Minutes
• 8. Q. No. 4.a 25 Minutes
• 9. Q. No. 4.b 9 Minutes
• 10. Q. No. 5.a 8 Minutes
• 11. Q. No. 5.b 14 Minutes

2077 Poush

• 1. Q. No. 1.a 5 Minutes
• 2. Q. No. 1.b 27 Minutes
• 3. Q. No. 2.a 9 Minutes
• 4. Q. No. 2.b 18 Minutes
• 5. Q. No. 3.a 17 Minutes
• 6. Q. No. 3.b 12 Minutes
• 7. Q. No. 4.a 14 Minutes
• 8. Q. No. 4.b 13 Minutes
• 9. Q. No. 5 20 Minutes

2078 Baisakh

• 1. Q. No. 1.a 4 Minutes
• 2. Q. No. 1.b 26 Minutes
• 3. Q. No. 1.c 5 Minutes
• 4. Q. No. 2.a 26 Minutes
• 5. Q. No. 2.b 12 Minutes
• 6. Q. No. 3.a 10 Minutes
• 7. Q. No. 3.b 30 Minutes
• 8. Q. No. 4.a 18 Minutes
• 9. Q. No. 4.b 6 Minutes
• 10. Q. No. 5.a 16 Minutes
• 11. Q. No. 5.b 8 Minutes