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Theory of Structures (TOS)Course overview and Teaching methodology
Prof. Omkar Parishwad+91 9922952801
Subject Code: 113427
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
Batch ATuesday: Theory of Structures I (8:15 am to 9:00 am) – 1 classWednesday: Theory of Structures I (8:15 am to 9:45 am) – 2 classes Batch BThursday: Theory of Structures I (8:15 am to 9:45 am) – 2 classesFriday: Theory of Structures I (8:15 am to 9:00 am) – 1 class
Approximate: three weeks per topic..
TOS:
Architects +
Engineers =
STRUCTURES
SnowflakesNaturally Occurring Structures Eggshell MembraneFelted Pods
What? Why? Where? When? How?
Gothic Cathedrals
Joseph PaxtonThe Crystal Palace, London1850’s
Buckminster FullerUS Pavilion, Montreal1967’s
Oscar NiemeyerMetropolitan Cathedral, Brasilia1970’s
Jorn OtzonOpera House Sydney1970’s
Guggenheim Museum, Bilbao, Spain
In Continuation..
Basics: Correlation between
–Mass, Force and Acceleration
ACCELERATION
Various Loads
Wind Load
Seismic Loads
Various Forces
Impact
Temperature
Forces
▪ Understanding of basic forces and moments;
– Definition, cause, effect, units
– Types of forces, loads
– Conditions of equilibrium
1.
Forces
▪ Applied Mechanics, Statics and Dynamics. Importance of
Study.
▪ Forces, Definition, Effects, Different Systems, Principle of
Transmissibility and Superimposition of Forces. Resolution
and Composition of Forces.
▪ Equilibrium of Concurrent Forces. Parallelogram, Polygonal &
Triangular Law of Forces.
▪ Lami’s Theorem. Analytical and Graphical Solution of Forces.
Resultant and Equilibrant of a System of Concurrent Forces.
▪ Equilibrium of Non Concurrent Forces. Varignon’s Principle.
Resultant of a system of noncurrent forces as in a beam.
1.
Center of Gravity
▪ Concentrated Force
▪ Axis of Symmetry
▪ Stability of a structure
2.
Center of Gravity
▪ Definition of Centre of Gravity and Centroid.
▪ Centre of Gravity of Regular Shapes.
2.
▪ Computing of Centre of
Gravity of complex
Shapes limited to
Standard Steel Sections
like C, T, L, I and
Compound Sections.
Moment of Inertia
A Body’s tendency to resist angular acceleration.
m = Sum of the products of the mass
r = Distance from the axis of rotation
3.
Moment of Inertia
▪ Definition of Moment of Inertia.
▪ Calculating Moment of Inertia of Standard Shapes.
▪ Parallel Axis Theorem, Perpendicular Axis
Theorem, Radius of Gyration.
▪ Computing Moment of Inertia of Complex Shapes
Limited to C, T, L, I and Compound Sections using
these Shapes.
3.
Supports and Loads
Stonehenge, England. One of the earliest examples of beam and column construction
4.
Loads
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.
4.
Bending Moment & Shear Force5.
• Simple Beam
• Cantilever Beam
• Beam with an overhang
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.
5.
Assignments and Marks
– Group Presentations (Structure discussion)
– Demonstrations – (Documentaries, practical visits). Field visit assignments and report.
– Class discussion/Virtual discussions (Presentee)
– Individual assignments (Numerical)
– Class Test
Output for External: Journal including all of above..
Instructional methods
Field visits and Guest lectures will be arranged on Saturdays..
Examinations.
▪ Class Tests
▪ Journal / Subject File is to be maintained.
▪ Total Marks: 100; Total Credits: 2
▪ In semester exam 30;
▪ End Semester exam 70
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..
Thank you for Listening…
