Theory of Structure — What This Subject Is About
Mechanics of Material taught you how a single beam or column behaves. Theory of Structure teaches you how whole structures behave — frames, trusses and dams — and how to analyse them. It is a theory subject (4.5) of 100 marks and 3 credits, with 2 lectures and 1 tutorial a week, and it is the direct continuation of the 3rd semester's Mechanics of Material.
You will find principal stresses with Mohr's circle, apply the middle third rule to columns, chimneys and dams, use strain energy and Castigliano's first theorem to find deflections, analyse continuous beams and portal frames by the moment distribution and slope deflection methods, and find the forces in truss members by the method of joints and the method of sections.
Subject 4.5 (Theory) • Total 100 Marks • 3 Credits • L 2 – T 1 • 4th Semester — Civil Engineering • Session 2026–27
What You Will Study
Unit 1 — Principal Stress and Strain (6 Periods, 20%)
Stress on inclined planes, principal plane and principal stress in elements subjected to direct and shear stress and their combinations; Mohr circle for calculation of stress on inclined planes and principal strain for above cases.
Principal stress and strain — stresses on inclined planes, principal planes, and Mohr's circle.
Unit 2 — Combined Direct and Bending Stress (6 Periods, 20%)
Eccentric loading, middle third rule, columns subjected to uni-axial and bi-axial eccentric loading; dams — application of middle third rule for fixing the base width, calculation of stresses at the base of dam and stability of dam against overturning and sliding; vertical structures like chimney subjected to movement due to wind forces.
Combined direct and bending stress — eccentric loading, the middle third rule, and the stability of dams and chimneys.
Unit 3 — Strain Energy (6 Periods, 20%)
Strain energy stored in a member due to axial loading and bending; strain energy stored by a beam due to uniform bending moment; work done by a force on a member, law of reciprocal deflection, Betti's law; the first theorem of Castigliano; deflection of truss joints.
Strain energy — energy stored by axial load and bending, Betti's law, Castigliano's first theorem and truss deflections.
Unit 4 — Moment Distribution Method and Slope Deflection Method (5 Periods, 20%)
Moment distribution method: basic proposition, relative stiffness, continuous beams with and without fixed ends; sinking of support, portal frames with and without sway (simple problem only). Slope deflection method: basic concepts, stiffness of members with far end fixed or hinged; development of slope deflection equations and their application to beam and frames.
Moment distribution and slope deflection — analysing continuous beams and portal frames, with and without sway.
Unit 5 — Simple Trusses (5 Periods, 20%)
Types of trusses (simple, Fink, compound Fink, French truss, Pratt truss, Howe truss, north-light truss, king post and queen post truss); calculate support reactions for trusses subjected to point loads at joints; calculate forces in members of truss using method of joints and method of sections.
Simple trusses — Fink, Pratt, Howe, king post and queen post trusses, and finding member forces by joints and by sections.
Complete Syllabus
The full examination scheme, the complete practicals list and the reference books from the official syllabus. The unit-wise topics are in the “What You Will Study” section above.
Examination Scheme
| Code | Paper | Type | L – P | Credits | Internal | External | Total |
|---|---|---|---|---|---|---|---|
| 4.5 | Theory of Structure | Theory | 2 – 0 | 3 | Theory 40 | Theory 60 (3 hrs) | 100 |
| Theory of Structure Total | 3 | 40 | 60 | 100 | |||
Units at a Glance
| Unit | Topic | Periods | Marks Share |
|---|---|---|---|
| 1 | Principal Stress and Strain | 6 | 20% |
| 2 | Combined Direct and Bending Stress | 6 | 20% |
| 3 | Strain Energy | 6 | 20% |
| 4 | Moment Distribution Method and Slope Deflection Method | 5 | 20% |
| 5 | Simple Trusses | 5 | 20% |
Reference Books
As listed in the syllabus:
- Ramamrutham. S, Theory of structures, Dhanpatrai & Sons.
- Khurmi, R. S., Theory of Structures, S. Chand and Co., New Delhi.
- Bhavikatti, S S, Structural Analysis Vol-1, Vikas Publishing House Pvt Ltd., New Delhi.
- Dr. Vijay Mittal, Amit Verma, Structural Mechanics, Asian Publishers, Muzaffarnagar, ISBN: 978-93-91541-23-1.
- Junnarkar, S. B., Mechanics of structures, Volume-I and II, Charotar Publishing House, Anand.
- Pandit, G.S. and Gupta, S.P., Theory of Structures, Tata McGraw Hill, New Delhi.
- Agor R, Structural Analysis, Khanna Publishing House, Delhi.
Frequently Asked Questions
How many marks is Theory of Structure worth in the 4th semester?
100 marks in total and 3 credits. Theory of Structure: 100 marks (internal Theory 40, external Theory 60 (3 hrs)).
Which units carry the most weightage in Theory of Structure?
Every unit carries the same weightage — 20% each — so none of them can be skipped.
Which books should I refer to for Theory of Structure?
The syllabus lists 7 books, including Ramamrutham. S, Theory of structures, Dhanpatrai & Sons. and Khurmi, R. S., Theory of Structures, S. Chand and Co., New Delhi., among others. The full list is in the Complete Syllabus section above.
Is Theory of Structure a theory subject or a practical subject?
Theory of Structure is theory (L–P 2 – 0).
How can I download the Theory of Structure syllabus PDF?
The PDF is free to download — use the download link in the Download section below. It is prepared by KAMALDNP Academy from the official BTEUP syllabus.
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Download the Theory of Structure Syllabus PDF
Download the complete Theory of Structure syllabus PDF below — prepared by KAMALDNP Academy, with the full topic list, practicals and reference books.
Download the Theory of Structure Syllabus PDF
Source: BTEUP 2nd Year curriculum (IIMT mirror of the official curriculum), approved in C.D.C. meeting held on 16.07.2026. Topic lists follow the official syllabus; short explanations are the author's own plain-English summaries, not syllabus text. Please confirm with your own polytechnic for any local changes.
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