Key takeaways
- Covers Structural Analysis I and II topics in seven sections.
- Formulas for static and kinematic indeterminacy of trusses and frames.
- Tables of fixed end moments, ILD ordinates, shape factors and collapse loads.
- Worked examples for a truss, a propped cantilever, a moment distribution and a three-hinged arch.
- Original Uncodemy revision notes based on the common syllabus.
About these Structural Analysis notes
Structural Analysis is long and method-heavy. Most students know the methods but run out of time. These notes keep each method to its essential steps and add the standard values, such as fixed end moments and stiffness factors, so that you can work faster.
These are original Uncodemy revision notes. They follow the topics common to most Indian B.Tech Civil syllabi for Structural Analysis, written in a neat handwritten style with formulas boxed and key numbers highlighted. They are short notes for revision, not a replacement for your textbook or class notes.
What's inside the notes: unit by unit
The PDF moves from determinate structures to indeterminate ones, then to moving loads and plastic collapse.
Unit 1: Basics and determinacy
- Determinacy: static and kinematic indeterminacy formulas for trusses and frames, with an example.
- Supports and stability: reactions and freedoms of each support and geometric instability.
- Trusses: method of joints, method of sections and zero-force members.
Unit 2: Energy methods and deflection
- Strain energy and Castigliano: deflection from strain energy, and the dummy load trick.
- Unit load method: deflection of beams and truss joints.
- Reciprocal theorems: Maxwell's and Betti's theorems.
Unit 3: Force methods
- Consistent deformation: removing a redundant and restoring compatibility.
- Three moment theorem: Clapeyron's equation for continuous beams.
- Standard values: fixed end moments and the propped cantilever results, with an example.
Unit 4: Displacement methods
- Slope deflection: the equation and the solution steps.
- Moment distribution: stiffness, carry-over and distribution factors, with a worked beam and sway frames.
- Matrix and approximate methods: flexibility versus stiffness, beam element stiffness, portal and cantilever methods.
Unit 5: Arches and cables
- Three-hinged arches: horizontal thrust and BM, with a parabolic arch example.
- Two-hinged arches and cables: degree of indeterminacy, temperature effect and cable tension.
Unit 6: Influence lines and rolling loads
- Müller-Breslau principle: sketching ILDs for determinate and indeterminate structures.
- ILD for simply supported beams: ordinates for reaction, SF and BM.
- Moving loads: maximum BM at a section and absolute maximum BM.
Unit 7: Plastic analysis
- Plastic hinge and shape factor: values for common sections, with an example.
- Collapse loads: static and kinematic theorems and standard collapse loads for beams.
How the PDF is laid out
Each section opens with short definitions in bullet form, followed by tables that compare types, tests or methods. Formulas are written in separate boxes so they stand out when you flip through the pages, and the values that examiners ask most often are highlighted. Short tip boxes point out exam favourites and common traps. Wherever a formula is used in exams, a short solved example shows the steps with real numbers. The last page lists 10 most asked practice questions so you can test yourself after revising.
How to revise Structural Analysis
- Start with determinacy. It is quick to learn and is asked in almost every paper and in GATE.
- Keep a standard values sheet. Fixed end moments, stiffness factors, carry-over factors, ILD ordinates and shape factors on one page.
- Time your moment distribution. Do five full problems; aim to finish each within the time your paper allows.
- Draw before you calculate. Sketch the deflected shape or ILD first; it catches sign errors.
- Link methods to each other. Solve one beam by three moment, slope deflection and moment distribution to see that answers match.
Exam focus: high-weightage topics and numericals
Structural Analysis papers are numerical-heavy. These topics come up often:
- Static and kinematic indeterminacy.
- Deflection of trusses by the unit load method.
- Continuous beams by the three moment theorem and moment distribution.
- Portal frames by slope deflection.
- Three-hinged arches, influence lines and plastic collapse loads.
Typical numericals to practise
- Find Ds and Dk for given trusses and frames.
- Find the deflection of a truss joint by the unit load method.
- Analyse a continuous beam by moment distribution and draw the BMD.
- Find the horizontal thrust and BM in a three-hinged parabolic arch.
- Find the collapse load of a fixed beam or portal frame.
A one-week plan with these notes
If your Structural Analysis exam is a week away, this plan covers the whole PDF once and leaves time for practice.
- Day 1: Basics and determinacy and Energy methods and deflection. Read the section, then close the PDF and write the key formulas and tables from memory.
- Day 2: Force methods and Displacement methods. Read the section, then close the PDF and write the key formulas and tables from memory.
- Day 3: Arches and cables and Influence lines and rolling loads. Read the section, then close the PDF and write the key formulas and tables from memory.
- Day 4: Plastic analysis. Read the section, then close the PDF and write the key formulas and tables from memory.
- Day 5: redo every solved example in the notes without looking at the steps.
- Day 6: answer the 10 practice questions at the end of the PDF under a time limit.
- Day 7: solve one recent official paper from your university and revise the topics you got wrong.
Who these notes are for
- B.Tech semester exams: covers Structural Analysis I and II topics with the standard values you need for numericals.
- GATE CE basics: determinacy, fixed end moments, distribution factors, ILD ordinates, arch thrust and shape factor are standard GATE CE questions.
- Site work and interviews: design interview candidates get a quick refresher on the methods behind software such as STAAD and ETABS.
Check your own syllabus and the current IS codes
Universities split and order these topics differently, and some leave out units or add extra ones. Match the notes against your own university syllabus and recent official question papers before you plan your revision. This subject is mostly theory, but it is the base for designs under IS 456 and IS 800, so match sign conventions with your textbook. Codes are revised from time to time, so check the current edition and any amendments before you use a value in design work or quote it in an answer. Uncodemy keeps a list of previous year question paper sources if you want official papers to practise with.
Download Structural Analysis Handwritten Notes PDF
Structural Analysis Handwritten Notes PDF
The PDF carries the same content as this page in a clean, print-ready layout, so you can read it offline and keep it for revision.
7 pages · 247 KB · PDF · Updated 5 Nov 2026