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.

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…