MECHANICS OF STRUCTURE
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Subject Code
15503
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Theory
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No of Period in one session
: 60
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No. of Periods Per Week
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Full Marks
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:
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100
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L
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T
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P/S
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Annual Exam.
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:
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80
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06
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-
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Internal Exam.
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:
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20
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Rationale and Objective:
The Subject Mechanics of Structure
forms a core subject for developing the concepts required in the design of
various structures. The application of theoretical principles to practical
field situation is essential. Integration of the principles to field problems
would help the students in understanding the concepts.
Students will
be able to:-
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know various elements of structures
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understand the basic principles
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analyse a given problems
Apply the basic principles in the problems
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S.No.
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Topics
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Periods
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01
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Principal
planes and stresses.
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(09)
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02
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Stresses in
beam.
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(08)
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03
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Combined
direct and bending stress.
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(14)
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04
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Fixed &
continuous beam.
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(08)
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05
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Slope and
deflection of beam.
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(09)
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06
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Columns and
struts.
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(06)
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07
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Torsion.
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(06)
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Total :
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(60)
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CONTENTS:
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TOPIC: 01 – PRINCIPLE PLANES AND STRESSES:
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[09]
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01.01
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Definition of
principal planes and principal stresses.
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01.02
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Different
state of stresses –
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01.03
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Normal and
tangential stresses on oblique planes of a body subjected to stresses acting
on two mutually perpendicular planes with or without shear stress.
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01.04
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Resultant
stresses on oblique plane, principal stresses and principal planes, maximum
shear stress and its planes. Condition for oblique plane to be principal
plane.
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01.05
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Analytical and
graphical (Mohr’s circle) solutions. Diagrammatic representation of principal
planes, Principal stresses, shear stress, Resultant Stress and its obliquity,
Maximum obliquity.
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TOPIC: 02 – STRESSES IN BEAM:
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[08]
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02.01
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Theory of
simple bending, position of neutral axis, moment of resistance.
Distribution
of bending stress across the section, bending stress in symmetrical and
unsymmetrical section Modulus, flexural strength of a section.
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02.02
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Shearing
stress at a section in loaded beam, Distribution of shear stresses over Rectangular,
circular, I,T.-section, & Channel Section.
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02.03
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Relation
between maximum and average shear stress.
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TOPIC: 03 – COMBINED DIRECT AND BENDING STRESS:
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[14]
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03.01
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Concept of
direct and eccentric loads, eccentricity about one principal axis or both
principal axis.
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2
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03.02
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Stress
distribution, nature of stress condition for no tension or zero stress at one
extreme fibre, limit of eccentricity, Middle third rule, core or kernal of
Section for various section columns.
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3
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03.03
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Columns and
chimney subjected to lateral wind pressure stress distribution at base.
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3
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03.04
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Analysis of
dam (Rectangular & Trapezoidal without battered fall). Stability of a
dam, Minimum bottom width required for a dam section and pressure
distribution at the base.
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6
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TOPIC: 04 – FIXED AND CONTINEOUS BEAM:
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[08]
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04.01
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Concept of
fixity, effect of fixity, advantages and disadvantages.
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04.02
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Fixed end
moments, its nature, bending moment and shear force diagrams for fixed beams
of uniform section subjected to concentrated loads and uniformly distributed
loads over entire span or a part of span.
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04.03
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Continuous
beam-Introduction, theorem of three moments equation. Continuous beam
subjected to point load, u.d.l., their B.M.D & S.T.D.
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TOPIC: 05 – SLOPE AND DEFLECTION OF BEAM:
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[09]
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05.01
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Concept of
slope and deflection, stiffness of beam. Slope and deflection of members
subjected to pure bending moments for statically determinate beam, Relation
between slope, deflection and radius of curvature.
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05.02
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Differential
equation method of calculating deflection & slope.
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05.03
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Maccaulay’s
method, Moment area method.
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05.04
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Slope &
deflection for simply supported, cantilever and over hanging beam subjected
to U.D.L & concentrated loads.
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05.05
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Introduction
of propped cantilever propped at mid of simply supported for U.D.L over
entire span.
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TOPIC: 06 – COLUMNS & STRUTS:
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[06]
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06.01
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Definition and
classification, and end condition, assumptions.
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06.02
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Buckling of
axially loaded compressive members, effective length, radius of gyration,
slenderness ratio.
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06.03
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Euler’s theory
for long columns, buckling load, safe load, limitation of Euler’s theory.
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06.04
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Emprical
formula, Rankine formula, I.S. code formula, Johnson’s formula.
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TOPIC: 07 – TORSION:
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[06]
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07.01
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Concept of torsion
and twisting moment theory of pure torsion, twist angle, polar moment of
Inertia. Torsional equation, Polar modulus, Torsional rigidity.
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07.02
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Power
transmitted by a shaft, shear stress distribution across a section of solid
and hollow circular shaft.
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07.03
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Torsion of
composite concentric shaft.
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Books Recommended:
1. Strength of materials -
M.Chakraborti
2. Mech. of Structure vol I & II -
S.B. Junarkar
3. Strength of materials -
R.S. Khurmi
4. Programmed text in Strength of
material -
T.T.T.I. Chandigarh
5. Theory of Structures vol I & II
-
Vazirani & Ratwani
6. Strength of materials -
Ramarutham
7. Strength of material Part I& II -
B.N. Bose
8. Strength of materials -
G.H. Ryder
9. Teaching plan of Strength of
materials -
T.T.T.I. Madras
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