Course Materials- Architecture- Structural Analysis
STRUCTURAL ANALYSIS
Editorial Board
Prof. Ajaya Kumar Nayak, BTech (NIT Rourkela), ME (IISc Bangalore), PhD
(University of Southampton, UK)
Head, Architecture
Assistant Professor (Formerly Reader)
Civil Engineering Department, VSSUT, Burla
Email: , Ph No: +91-9777460423
Prof Sagarika Nayak, BArch (NIT, Hamirpur), MCP (IIT, Kharagpur)
Assistant Professor (Limited Term)
Architecture Department, VSSUT, Burla
Email: Ph No: +91-9932552575
Prof Jogesh Chhatria, BArch (CET, Bhubaneswar)
Assistant Professor (Limited Term)
Architecture Department, VSSUT, Burla
Email: Ph No: +91-7077450757
Department of Architecture
Veer Surendra Sai University of Technology, Burla, 768018, Odisha, India
Under revision *, Funded by ETET Odisha 1
,Course Materials- Architecture- Structural Analysis
DISCLAIMER
These lecture notes are being prepared and printed for the use in training the students and
practicing Architects. No commercial use of these notes is permitted and copies of these will
not be offered for sale in any manner. Due acknowledgement has been made in the reference
sections. The readers are encouraged to provide written feedbacks for improvement of course
materials.
Dr Ajaya Kumar Nayak
Ms Sagarika Nayak
Mr Jogesh Chhatria
Under revision *, Funded by ETET Odisha 2
,Course Materials- Architecture- Structural Analysis
Preface to the First Edition of Lecture Notes
It is well known that the students of Architecture particularly students in foundation courses
like Structural Analysis are greatly handicapped due to the want of a concise and
comprehensive lecture note on the subject as a whole. A student has therefore no other way
than to go through a number of voluminous textbooks on each one of the various branches of
Structural Analysis and in doing so he/she is very often confused about how much he/she
should read and know. This confusion obviously leads to undue wastage of time and energy
on the part of the student.
With much of insp3iration from our Hon’ble Vice Chancellor Prof. E. Sai Baba Reddy,
VSSUT, Burla we ventured to accept the task of writing this lecture notes in which an
attempt has been made to discuss the fundamental principles of all the different branches of
the subject in such a manner as to enable the student to gradually acquire a reasonably good
standard of foundation knowledge of Structural Analysis. Each individual lecture deals with a
particular branch of the subject and the extent of treatment is expected to fulfil the
requirements for the Five year BArch degree course in Architecture of the State and Central
Universities in India.
Thanks are also due to Ms Mitali Madhusmita, Assistant Professor (Limited Term) of the
Department of Architecture, VSSUT, Burla for many helpful discussions during the
preparation of these lecture notes.
We shall deem our efforts successful if the lecture notes is proved useful to those for whom
it is meant.
VSSUT, Burla Dr Ajaya Kumar Nayak
The 4th April, Chaitra Purnima, 2015 Ms Sagarika Nayak
Mr Jogesh Chhatria
Under revision *, Funded by ETET Odisha 3
, Course Materials- Architecture- Structural Analysis
Contents
Preface
Lecture 1 Lecture 1 Introduction to statically determinate/ indeterminate 8
structure with reference to 2D and 3D structures. Free body diagram
of structure
Lecture 2 Lecture 2 Introduction to statically determinate/ indeterminate 25
structure with reference to 2D and 3D structures. Free body diagram
of structure
Lecture 3 Lecture 3 Introduction to statically determinate/ indeterminate 31
structure with reference to 2D and 3D structures. Free body diagram
of structure.
Lecture 4 Lecture 4 Introduction to kinematically determinate/indeterminate 41
structures with reference to 2D and 3D structures. Degree of
freedom.
Lecture 5 Lecture 5 B.M. and S.F. diagrams for different loading on simply 44
supported beam, cantilever and overhanging beams.
Lecture 6 Lecture 6 B.M. and S.F. diagrams for different loading on simply 54
supported beam, cantilever and overhanging beams
Lecture 7 Lecture 7 B.M. and S.F. diagrams for different loading on simply 60
supported beam, cantilever and overhanging beams
Lecture 8 Lecture 8 B.M. and S.F. diagrams for different loading on simply 66
supported beam, cantilever and overhanging beams: Numerical
Problems
Lecture 9 Lecture 9 B.M. shear and normal thrust of three hinged arches: 73
Theory
Lecture 10 Lecture 10 B.M. shear and normal thrust of three hinged arches: 77
Numerical Examples
Lecture 11 Lecture 11 Deflection of statically determinate beams: Double 80
Integration method,
Lecture 12 Lecture 12 Deflection of statically determinate beams: Moment 90
Area method,
Lecture 13 Lecture 13 Deflection of statically determinate beams: Conjugate 95
Beam method,
Lecture 14 Lecture 14 Deflection of statically determinate beams by energy 99
Under revision *, Funded by ETET Odisha 4
STRUCTURAL ANALYSIS
Editorial Board
Prof. Ajaya Kumar Nayak, BTech (NIT Rourkela), ME (IISc Bangalore), PhD
(University of Southampton, UK)
Head, Architecture
Assistant Professor (Formerly Reader)
Civil Engineering Department, VSSUT, Burla
Email: , Ph No: +91-9777460423
Prof Sagarika Nayak, BArch (NIT, Hamirpur), MCP (IIT, Kharagpur)
Assistant Professor (Limited Term)
Architecture Department, VSSUT, Burla
Email: Ph No: +91-9932552575
Prof Jogesh Chhatria, BArch (CET, Bhubaneswar)
Assistant Professor (Limited Term)
Architecture Department, VSSUT, Burla
Email: Ph No: +91-7077450757
Department of Architecture
Veer Surendra Sai University of Technology, Burla, 768018, Odisha, India
Under revision *, Funded by ETET Odisha 1
,Course Materials- Architecture- Structural Analysis
DISCLAIMER
These lecture notes are being prepared and printed for the use in training the students and
practicing Architects. No commercial use of these notes is permitted and copies of these will
not be offered for sale in any manner. Due acknowledgement has been made in the reference
sections. The readers are encouraged to provide written feedbacks for improvement of course
materials.
Dr Ajaya Kumar Nayak
Ms Sagarika Nayak
Mr Jogesh Chhatria
Under revision *, Funded by ETET Odisha 2
,Course Materials- Architecture- Structural Analysis
Preface to the First Edition of Lecture Notes
It is well known that the students of Architecture particularly students in foundation courses
like Structural Analysis are greatly handicapped due to the want of a concise and
comprehensive lecture note on the subject as a whole. A student has therefore no other way
than to go through a number of voluminous textbooks on each one of the various branches of
Structural Analysis and in doing so he/she is very often confused about how much he/she
should read and know. This confusion obviously leads to undue wastage of time and energy
on the part of the student.
With much of insp3iration from our Hon’ble Vice Chancellor Prof. E. Sai Baba Reddy,
VSSUT, Burla we ventured to accept the task of writing this lecture notes in which an
attempt has been made to discuss the fundamental principles of all the different branches of
the subject in such a manner as to enable the student to gradually acquire a reasonably good
standard of foundation knowledge of Structural Analysis. Each individual lecture deals with a
particular branch of the subject and the extent of treatment is expected to fulfil the
requirements for the Five year BArch degree course in Architecture of the State and Central
Universities in India.
Thanks are also due to Ms Mitali Madhusmita, Assistant Professor (Limited Term) of the
Department of Architecture, VSSUT, Burla for many helpful discussions during the
preparation of these lecture notes.
We shall deem our efforts successful if the lecture notes is proved useful to those for whom
it is meant.
VSSUT, Burla Dr Ajaya Kumar Nayak
The 4th April, Chaitra Purnima, 2015 Ms Sagarika Nayak
Mr Jogesh Chhatria
Under revision *, Funded by ETET Odisha 3
, Course Materials- Architecture- Structural Analysis
Contents
Preface
Lecture 1 Lecture 1 Introduction to statically determinate/ indeterminate 8
structure with reference to 2D and 3D structures. Free body diagram
of structure
Lecture 2 Lecture 2 Introduction to statically determinate/ indeterminate 25
structure with reference to 2D and 3D structures. Free body diagram
of structure
Lecture 3 Lecture 3 Introduction to statically determinate/ indeterminate 31
structure with reference to 2D and 3D structures. Free body diagram
of structure.
Lecture 4 Lecture 4 Introduction to kinematically determinate/indeterminate 41
structures with reference to 2D and 3D structures. Degree of
freedom.
Lecture 5 Lecture 5 B.M. and S.F. diagrams for different loading on simply 44
supported beam, cantilever and overhanging beams.
Lecture 6 Lecture 6 B.M. and S.F. diagrams for different loading on simply 54
supported beam, cantilever and overhanging beams
Lecture 7 Lecture 7 B.M. and S.F. diagrams for different loading on simply 60
supported beam, cantilever and overhanging beams
Lecture 8 Lecture 8 B.M. and S.F. diagrams for different loading on simply 66
supported beam, cantilever and overhanging beams: Numerical
Problems
Lecture 9 Lecture 9 B.M. shear and normal thrust of three hinged arches: 73
Theory
Lecture 10 Lecture 10 B.M. shear and normal thrust of three hinged arches: 77
Numerical Examples
Lecture 11 Lecture 11 Deflection of statically determinate beams: Double 80
Integration method,
Lecture 12 Lecture 12 Deflection of statically determinate beams: Moment 90
Area method,
Lecture 13 Lecture 13 Deflection of statically determinate beams: Conjugate 95
Beam method,
Lecture 14 Lecture 14 Deflection of statically determinate beams by energy 99
Under revision *, Funded by ETET Odisha 4
