00 Intro to Theory of Structures
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This document provides an overview of the Theory of Structures course taught by Prof. Omkar Parishwad. The course covers topics like forces, center of gravity, moment of inertia, supports and loads, shear force and bending moment. It will be taught over approximately three weeks per topic. Assessment will include assignments, class tests, maintaining a journal, and exams. The goal is for students to understand structural concepts and their application to structures through history.
00 Intro to Theory of Structures
- 1. Theory of Structures (TOS) Course overview andTeaching methodology Prof. Omkar Parishwad +91 9922952801 Omkar.Parishwad@indiraicad.ac.in Subject Code: 113427
- 2. Course Content / Syllabus.. 1. Forces 2. Centre of Gravity 3. Moment of Inertia 4. Supports and Loads 5. Shear Force & Bending Moment B. Arch - FY Term I BatchA Tuesday:Theory of Structures I (8:15 am to 9:00 am) – 1 class Wednesday:Theory of Structures I (8:15 am to 9:45 am) – 2 classes Batch B Thursday:Theory of Structures I (8:15 am to 9:45 am) – 2 classes Friday:Theory of Structures I (8:15 am to 9:00 am) – 1 class Approximate: three weeks per topic..
- 3. TOS: Architects + Engineers = STRUCTURES SnowflakesNaturally Occurring Structures Eggshell MembraneFelted Pods What? Why? Where? When? How? Gothic Cathedrals Joseph Paxton The Crystal Palace, London 1850’s Buckminster Fuller US Pavilion, Montreal 1967’s Oscar Niemeyer Metropolitan Cathedral, Brasilia 1970’s Jorn Otzon Opera House Sydney 1970’s Guggenheim Museum, Bilbao, Spain
- 4. In Continuation.. Basics: Correlation between – Mass, Force and Acceleration ACCELERATION Various Loads Wind Load Seismic Loads Various Forces Impact Temperature
- 5. Forces ▪ Understanding of basic forces and moments; – Definition, cause, effect, units – Types of forces, loads – Conditions of equilibrium
- 6. Forces ▪ Applied Mechanics, Statics and Dynamics. Importance of Study. ▪ Forces, Definition, Effects, Different Systems, Principle ofTransmissibility and Superimposition of Forces. Resolution and Composition of Forces. ▪ Equilibrium of Concurrent Forces. Parallelogram, Polygonal &Triangular Law of Forces. ▪ Lami’sTheorem. Analytical and Graphical Solution of Forces. Resultant and Equilibrant of a System of Concurrent Forces. ▪ Equilibrium of NonConcurrent Forces.Varignon’s Principle. Resultant of a system of noncurrent forces as in a beam.
- 7. Center of Gravity ▪ Concentrated Force ▪ Axis of Symmetry ▪ Stability of a structure
- 8. Center of Gravity ▪ Definition of Centre of Gravity and Centroid. ▪ Centre of Gravity of Regular Shapes. ▪ Computing of Centre of Gravity of complex Shapes limited to Standard Steel Sections like C,T, L, I and Compound Sections.
- 9. Moment of Inertia A Body’s tendency to resist angular acceleration. 𝑰 = 𝒎 ∗ 𝒓 𝟐 m = Sum of the products of the mass r = Distance from the axis of rotation
- 10. Moment of Inertia ▪ Definition of Moment of Inertia. ▪ Calculating Moment of Inertia of Standard Shapes. ▪ Parallel AxisTheorem, Perpendicular AxisTheorem, Radius of Gyration. ▪ Computing Moment of Inertia of Complex Shapes Limited to C,T, L, I and Compound Sections using these Shapes.
- 11. Supports and Loads Stonehenge, England. One of the earliest examples of beam and column construction Loads
- 12. Supports and Loads ▪ Supports, Definition, Reactions offered by Simple, Fixed, Hinged and Roller Support. ▪ Statically Indeterminate and Determinate Structures and Degree of Indeterminacy. Beams classified as Simply Supported, Cantilever, Over Hanging, Propped Cantilever, Fixed and Continuous. ▪ Loads Classified as U.D.L, Point Load &Varying Load. ▪ Loads Classified as Dead, Live, Wind, Snow, Seismic. Introduction to Densities of Material and Calculation of Dead loads on a Beam from slab, Brick work above to act as U.D.L and from abutting beam as a Point Load. ▪ Support Reactions. For Simply Supported Beams and Cantilevered Beams only. Loading limited to Point Loads and U.D.L only.
- 13. Bending Moment & Shear Force • Simple Beam • Cantilever Beam • Beam with an overhang
- 14. Bending Moment & Shear Force ▪ Shear Force and S.F. Diagram & B.M.D and B.M. Diagram for: Simple Support with an U.D.L., Simple Support with a Central Point Load, and Simple Support with an eccentric point. ▪ Load, Cantilever with a full U.D.L, Cantilever with a Point Load. ▪ S.F.D and B.M.D of a Simple Supported Beam and Over Hanging Beams with U.D.L and Point Loads. ▪ Point of Zero Shear, Point Of Max S.F and B.M max. Point of Contra flexure. ▪ Relationship between S.F.D and B.M.D.
- 15. Assignments and Marks – Group Presentations (Structure discussion) – Demonstrations – (Documentaries, practical visits). Field visit assignments and report. – Class discussion/Virtual discussions (Presentee) – Individual assignments (Numerical) – ClassTest Output for External: Journal including all of above.. Instructional methods Field visits and Guest lectures will be arranged on Saturdays..
- 16. Examinations. ▪ ClassTests ▪ Journal / Subject File is to be maintained. ▪ Total Marks: 100;Total Credits: 2 ▪ In semester exam 30; ▪ End Semester exam 70
- 17. Reference Material.. Library- Books available ▪ Strength of Materials (Khurmi R.S.) ▪ General Structures (David M. Berg and others) ▪ Architects + Engineers = Structures Also available e-Library (material on request) And of course-The Internet..
- 18. Thank you for Listening…