INSTITUTE OF AERONAUTICAL ENGINEERING
Dundigal, Hyderabad -500 043
CIVIL ENGINEERING
COURSE DESCRIPTION
Course Title
Course Code
Regulation
Course Structure
Course Coordinator
Team of Instructors
I.
II.
: STRUCTURAL ANALYSIS
: 56006
: R09(JNTUH)
Lectures
Tutorials
Practical’s
Credits
-
4
:
4
: Mr K. Govind Goud, Assistant Professor
:
COURSE OVERVIEW:
1.
To introduce students to the basic concepts, techniques and applications of the structural analysis.
2.
Learn how to analyses the different elements of the structure.
3.
Obtaining the different methods of approach of analysis.
4.
To introduce the methods of calculating the reactions, forces and moments.
5.
To make the students to understand the variation of stress functions (BM/SF/AF).6.
6.
To make the students to understand the variation displacements in the structural members due to static
loads
7.
To know the significant effect of moving loads on structures expressing as a function of position of
load.
COURSE OUTCOMES:
Upon successful completion of this course, the student will be able to:
1.
To define and reason about fundamental structural concepts such as shear force,
relations, functions.
2.
To evaluate deflections of the beams, Truss and frames.
3.
To determine the redundant support reactions in indeterminate beams.
4.
To draw Shear force and Bending Moment Diagrams for indeterminate beams.
5.
To draw influence line diagrams for determinate beams and frames.
6.
Determine the static indeterminacy and kinematic indeterminacy of beams and trusses.
7.
Able to do the analysis of the elements of the building and maintain them in equilibrium condition.
8.
Able to do the analysis and can be applied in the reinforced concrete structures.
9.
Able to do the analysis and can be applied in the steel structures.
10. The student is able to use the result of analysis for the input of the deigning part.
11. Can participate and succeed in competitive examinations like GATE, GRE.
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bending moment
III.
SYLLABUS:
Unit –I:
Analysis of Perfect Frames: Types of frames –Perfect-Imperfect and Redundant Pin jointed Frames –
Analysis of determinate pin jointed frames using method of joints, method of sections and tension
coefficient method for vertical loads, horizontal loads and inclined loads.
Unit –II:
ENERGY THEOREMS: Introduction, Strain energy in linear elastic system, expression of strain energy
due to axial load, bending moment and shear forces - Castigliano’s first theorem-Unit load Method.
Deflections of simple beams and pin jointed plane trusses. Deflections of statically determinate bent
frames.
Three Hinged Arches-Introduction-Types of Arches-Comparison between Three hinged and two hinged
Arches, Linear Arch. Eddy’s theorem. Analysis of Three hinged arches. Normal Thrust and radial shear in
an arch. Geometrical properties of parabolic and circular arch. Three hinged circular arch at different levels.
Absolute maximum bending moment diagram for a three hinged arch.
UNIT – III
PROPPED CANTILEVERS AND FIXED BEAMS: Analysis of propped cantilevers and fixed beams,
including the beams with varying moments of inertia, subjected to UDL, central point load, eccentric point
load, Number of point loads, uniformly varying load, couple and combination of loads -shear force and
bending moment diagrams for propped cantilevers and fixed beams- Deflection of propped cantilevers and
fixed beams effect of sinking of support, effect of rotation of a support.
UNIT –IV
SLOPE-DEFLECTION METHOD AND MOMENT DISTRIBUTION METHOD:
Introduction Continuous beams, Clapeyron’s theorem of three moments- Analysis of continuous beams
with and variable constant moment s of inertia with one or both ends fixed-continuous beams with
overhang, Effects of sinking of supports. Derivation of slope-deflection equation, application to continuous
beams with and without settlement of supports. Analysis of continuous beams with and without settlement
of supports using moment distribution method. Shear force and Bending moment diagrams, elastic curve.
UNIT - V
MOVING LOADS AND INFLUENCE LINES: : Introduction maximum SF and BM at a given section
and absolute maximum S.F. and B.M due to single concentrated load U.D load longer than the span, U.D
load shorter than the span, two point loads with fixed distance between them and several point loadsEquivalent uniformly distributed load-Focal length. Definition of influence line for SF, Influence line for
BM- load position for maximum SF at a section-Load position for maximum BM at a section single point
load, U.D. load longer than the span, U.D. load shorter than the span- Influence lines for forces in members
of Pratt and Warren trusses.
Text Books:
1.
Structural analysis Vol-I & II by Vazirani and Ratwani, Khanna Publications.
2.
Structural analysis Vol-I & II by Pundit & Gupta-Tata McGraw Hill publishers.
3.
Structural analysis by T.S.Thandavamoorty Oxford publishers
Reference Books:
1.
Basic Structural Analysis by K.U.Muthu et al., I.K International Publishing House Pvt.Ltd.
2.
Structural Analysis by Hibbeler, Pearson Education Ltd.
3.
Basic Structural Analysis by C.S.Reddy., Tata McGraw Hill Publishers.
4.
Fundamentals of structural Analysis by M.L.Gambhir, PHI.
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IV.
DISTRIBUTION AND WEIGHTAGE OF MARKS (THEORY):
Subject
Structural Analysis
End Examination
75 Marks
All the Units
(1, 2, 3, 4 and 5)
End Examination
75 Marks
Part A
25 Marks
Part B
50 Marks
Internal
I Mid-term
Examination25 examination
Marks
25 Marks
(Average of
( 1 hour 20
three midminutes)
term
examinations)
II Mid-term
examination
25 Marks
( 1 hour 20
minutes)
V.
Internal Examinations
25 Marks
Total Marks
100 Marks
All units
Compulsory Questions
5 questions to be answered. Each question carries 10 marks.
Only one question to be answered out of 2 questions from each
unit.
I, II and Half
of the IIIrd
unit
Remaining
Half unit of
IIIrd Unit, IV
and V units
Objective type
questions
(20minutes)
Descriptive type
questions
(60minutes)
Assignment
Objective type
questions
(20minutes)
Descriptive type
questions
(60minutes)
Assignment
10 multiple answer questions,
each question carries ½ mark.
10 fill-in the blanks,
Each carries ½ marks.
2 questions to be answered out of
4 questions, each carries 5 marks.
5 marks for assignment.
10 multiple answer questions,
Each question carries ½ marks.
10 fill-in the blanks,
Each carries ½ marks.
2 questions to be answered out of
4 questions, each carries 5 marks.
5 marks for assignment.
MID EXAMINATION WISE BREAKUP OF TOPICS:
I Mid
UNIT
I
II
III
II Mid
3|Page
III
TOPIC
Analysis of Perfect Frames: Types of frames –Perfect-Imperfect and Redundant
Pin jointed Frames –Analysis of determinate pin jointed frames using method of
joints ,method of sections and tension coefficient method for vertical loads,
horizontal loads and inclined loads,
ENERGY THEOREMS: Introduction, Strain energy in linear elastic system,
expression of strain energy due to axial load, bending moment and shear forces Castigliano’s first theorem-Unit load Method. Deflections of simple beams and pin
jointed plane trusses. Deflections of statically determinate bent frames. Three
Hinged Arches-Introduction-Types of Arches-Comparison between Three hinged
and Two hinged Arches, Linear Arch. Eddy’s theorem. Analysis of Three hinged
arches. Normal Thrust and radial shear in an arch. Geometrical properties of
parabolic and circular arch. Three hinged circular arch at different levels. Absolute
maximum bending moment diagram for a three hinged arch.
Analysis of propped cantilevers and fixed beams, including the beams with varying
moments of inertia, subjected to UDL, central point load, eccentric point load,
Number of point loads, uniformly varying load, couple and combination of loads shear force and bending moment diagrams for propped cantilevers.
Analysis of fixed beams, including the beams with varying moments of inertia,
subjected to UDL, central point load, eccentric point load , Number of point loads,
uniformly varying load, couple and combination of loads -shear force and bending
moment diagrams for fixed beams- Deflection of fixed beams, effect of sinking of
support, effect of rotation of a support.
IV
V
Unit Lecture
Number
I
II
4|Page
Introduction Continuous beams, Clapeyron’s theorem of three moments- Analysis
of continuous beams with constant and variable moments of inertia with one or
both ends fixed-continuous beams with overhang. Effects of sinking of supports.
Derivation of slope-deflection equation, application to continuous beams with and
without settlement of supports. Analysis of continuous beams with and without
settlement of supports using moment distribution method. Shear force and Bending
moment diagrams, elastic curve
Introduction maximum SF and BM at a given section and absolute maximum S.F.
and B.M due to single concentrated load U.D.L load longer than the span, U.D.L
load shorter than the span, two point loads with fixed distance between them and
several point loads-Equivalent uniformly distributed load-Focal length. Definition
of influence line for SF, Influence line for BM- load position for maximum SF at a
section-Load position for maximum BM at a section single point load, U.D.L load
longer than the span, U.D.L load shorter than the span- Influence lines for forces in
members of Pratt and Warren trusses.
Topics Planned to cover
Learning Objectives
Course Content Delivery --- Lecture Wise Break-up of Topics
I SPELL
1 & 2 Introduction of frames and Types of
To understand the importance of structural
frames –Perfect-Imperfect and
analysis, types of frames and static
Redundant Pin jointed Frames
determinacy.
3, 4 & 5 Analysis of determinate pin jointed
Compute reaction components of the
frames using method of joints for
determinate frame and forces in members.
vertical loads, horizontal loads and
inclined loads.
6, 7 & 8 Analysis of determinate pin jointed
Compute reaction components of the
frames using method of sections for
determinate frame and forces in members.
vertical loads, horizontal loads and
inclined loads.
9, 10 & Analysis of determinate pin jointed
Compute reaction components of the
11
frames tension coefficient method for
determinate frame and forces in members.
vertical loads, horizontal loads and
inclined loads.
12
Introduction, Strain energy in linear
Define strain energy.
elastic system
13
expression of strain energy due to
Application of strain energy method for
axial load, bending moment and shear different types of structure.
forces
12
Castigliano’s first theorem
State and prove first theorem of Castigliano.
13
Unit load Method
Concept of force method for analysis of
statically indeterminate structure.
14
Deflections of simple beams and pin
Computation of deflection beams and pin
jointed plane trusses
jointed plane trusses
15&16 Deflections of statically determinate
Computation of deflection for statically
bent frames.
determinate frames.
17
Introduction of Arches, Types of
Define and types of arches
Arches
18
Comparison between Three hinged
Identify three-hinged, two-hinged and
and Two hinged Arches, Linear Arch
hingeless arches
19
Eddy’s theorem
State and prove Eddy’s theorem.
20 & 21 Normal Thrust and radial shear in an
Evaluate Normal and radial shear in an arch.
arch
Unit Lecture
Topics Planned to cover
Number
22
Geometrical properties of parabolic
and circular arch
23 & 24 Three hinged circular arch at different
levels. Absolute maximum bending
moment diagram for a three hinged
arch.
III
25
Analysis of propped cantilevers
subjected to UDL
26
Analysis of propped cantilevers
subjected to central point load
27
Analysis of propped cantilevers
subjected to eccentric point load
28
Analysis of propped cantilevers
subjected to couple
Deflection of propped cantilevers
29
Learning Objectives
Evaluate Properties of Parabolic and circular
arch.
Analyze three-hinged arch.
Be able to draw shear and moment diagrams
for propped cantilever subjected to UDL.
Be able to draw shear and moment diagrams
for propped cantilever subjected to central
point load.
Be able to draw shear and moment diagrams
for propped cantilever subjected to eccentric
point load.
Be able to draw shear and moment diagrams
for propped cantilever subjected to couple.
Evaluate deflection for propped cantilever
beams.
II Spell
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
central point load
for propped cantilever subjected to central
point load.
31
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
eccentric point load
for propped cantilever subjected to eccentric
point load.
32
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
UDL
for propped cantilever subjected to UDL.
33
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
uniformly varying load
for propped cantilever subjected to uniformly
varying load.
34
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
couple
for propped cantilever subjected to couple.
35
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
combination of loads
for propped cantilever subjected to
combination of loads.
36
Analysis of fixed beams subjected to
Be able to draw shear and moment diagrams
varying moments of inertia
for propped cantilever subjected to varying
moment of inertia.
37
Deflection of fixed beams
Evaluate deflections for fixed beams.
38
Effect of sinking of support, effect of
Analysis of sinking of support.
rotation of a support.
IV 39 & 40 Introduction Continuous beams,
Derive three-moment equations for a
Clapeyron’s theorem of three
continuous beam with unyielding supports.
moments
41, 42, 43 Analysis of continuous beams with
Analyze continuous beams having different
& 44
constant and variable moments of
moments of inertia in different spans and
inertia with one or both ends fixedundergoing support settlements using threecontinuous beams with overhang
moment equations.
45
Effects of sinking of supports
Analysis of sinking of support.
46
Derivation of slope-deflection
Derive slope-deflection equations for the case
equation
beam with yielding supports
47 & 48 Slope-deflection equation, application Analyze continuous beams having different
to continuous beams with and without moments of inertia in different spans and
III
5|Page
30
Unit Lecture
Number
Topics Planned to cover
settlement of supports.
49 & 50 Analysis of continuous beams with
and without settlement of supports
using moment distribution method
v
51
Elastic curve
52
53
Introduction maximum SF and BM at
a given section and absolute
maximum S.F. and B.M due to single
concentrated load
U.D.L load longer than the span
54
U.D.L load shorter than the span
55 & 56 two point loads with fixed distance
between them and several point loads
57 & 58 Equivalent uniformly distributed
load, Focal length.
59 & 60 Definition of influence line for SF,
Influence line for BM- load position
for maximum SF at a section-Load
position for maximum BM at a
section single point load,
61
Influence line for U.D.L load longer
than the span
62
Influence line for U.D.L load shorter
than the span
63 & 64 Influence lines for forces in members
of Pratt trusses
65 & 66 Influence lines for forces in members
of Warren trusses
VI.
Learning Objectives
undergoing support settlements using Slopedeflection method.
Analyze continuous beams having different
moments of inertia in different spans and
undergoing support settlements using moment
distribution method.
Be able to draw elastic curves for continuous
beams.
Able to draw shear force and bending moment
to single concentrated load for moving loads.
Able to draw shear force and bending moment
to UDL longer then the span for moving
loads.
Able to draw shear force and bending moment
to UDL shorter than the span for moving
loads.
Able to draw shear force and bending moment
two point loads with fixed distance for
moving loads.
Evaluate Equivalent uniformly distributed
load and Focal length.
Study various definitions of influence line and
Draw shear force and bending moment for
single point load.
Able to draw shear force and bending moment
for UDL longer than the span by using
influence lines.
Able to draw shear force and bending moment
for UDL shorter than the span by using
influence lines.
Draw the influence line for forces in members
of Pratt trusses.
Draw the influence line for the truss member
force for forces in members of Warren
trusses.
UNIT WISE ASSIGNMENTS:
Unit
I
II
III
IV
6|Page
Assignment
Assignment Details
No.
1
Analysis of Frames - Textual questions and objective questions
Energy Theorems- Textual questions and objective questions
2
Three Hinged Arches- Textual questions and objective questions
Propped Cantilever- Textual questions and objective questions
3
Fixed Beams- Textual questions and objective questions
Slope-Deflection - Textual questions and objective questions
4
Moment distribution- Textual questions and objective questions
Claperoyn’s Theorem- Textual questions and objective questions
V
5
Elastic Curves- Textual questions and objective questions
Moving Loads- Textual questions and objective questions
Influence Lines- Textual questions and objective questions
Prepared By: Mr K. Govind Goud, Assistant Professor
HOD, CIVIL ENGINEERING
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