Are these Strength of Materials handwritten notes free?

Yes. Fill in the short form on this page and the PDF downloads right away.

Are these official university notes?

No. They are original Uncodemy revision notes written for the Strength of Materials topics common to most B.Tech Civil syllabi. They are not issued or approved by any university, AKTU or otherwise.

Which syllabus do they follow?

They follow the common Indian B.Tech Civil syllabus for Strength of Materials. Unit names and order vary between universities, so check your own syllabus and cover any extra topic from your textbook.

Are standard beam deflection formulas included?

Yes. A table gives the maximum slope and deflection for cantilever, simply supported and fixed beams under point load and UDL.

Is this subject the same as Mechanics of Solids?

Most universities use the two names for the same core topics. Compare the unit list above with your syllabus.

Can I request notes for another subject?

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Strength of Materials Handwritten Notes PDF

Key takeaways

Covers the full Strength of Materials (Mechanics of Solids) syllabus in eight sections.
Standard SFD and BMD shapes, section properties and beam deflection formulas in tables.
Worked examples for bar elongation, bending stress, shaft torsion and Mohr's circle.
Theories of failure and Euler effective lengths summarised for quick revision.
Original Uncodemy revision notes based on the common syllabus.

About these Strength of Materials notes

Strength of Materials is the base for every structural subject that follows. It has many standard results that you are expected to know by heart, such as maximum moments and deflections. These notes collect those results in tables and keep the derivations short.

These are original Uncodemy revision notes. They follow the topics common to most Indian B.Tech Civil syllabi for Strength of Materials, 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 goes from stress in simple bars to beams, shafts, columns and pressure vessels.

Unit 1: Simple stress and strain

Stress, strain and Hooke's law: Poisson's ratio and the stress-strain curve of mild steel.
Bars: elongation of uniform, stepped, tapering and hanging bars, with an example.
Elastic constants, thermal stress and strain energy: E, G, K relations, composite bars and sudden and impact loads.

Unit 2: Shear force and bending moment

Relations: dM/dx = V, dV/dx = −w and where maximum BM occurs.
Diagram shapes: SFD and BMD shapes for point load, UDL, UVL and couple, and points of contraflexure.
Standard results: maximum BM for simply supported and cantilever beams.

Unit 3: Bending and shear stresses

Flexure formula: assumptions, neutral axis, section modulus and section properties.
Shear stress distribution: rectangle, circle, triangle and I-section, with a bending stress example.

Unit 4: Deflection of beams

Methods: double integration, Macaulay, moment-area, conjugate beam and strain energy.
Standard slopes and deflections: cantilever, simply supported and fixed beams in one table.

Unit 5: Torsion and springs

Torsion equation: solid and hollow shafts, power transmitted and shafts in series and parallel, with an example.
Close-coiled springs: shear stress, deflection and stiffness, and springs in series and parallel.

Unit 6: Principal stresses

Principal planes and stresses: formulas for σ1, σ2, angle and maximum shear.
Mohr's circle: construction and a worked example.
Theories of failure: Rankine, Tresca, St. Venant, Haigh and von Mises.

Unit 7: Columns and struts

Euler's theory: crippling load, effective lengths and validity.
Rankine's formula: for columns of all lengths.

Unit 8: Cylinders and combined stresses

Thin and thick cylinders: hoop and longitudinal stress and Lamé's equations.
Combined stresses: direct and bending stress, the middle third rule and the kernel of a section.

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 Strength of Materials

Learn the standard tables by heart. Max BM, max deflection and section properties save time in every structural subject.
Draw SFD and BMD daily. One overhanging beam a day builds speed and accuracy with signs.
Practise Mohr's circle to scale. A neat circle helps you check the formula answer.
Group the derivations. E = 2G(1 + μ), flexure formula, torsion equation and Euler's formula form a standard set.
Watch the units. Keep N and mm throughout, so stresses come out in MPa.

Exam focus: high-weightage topics and numericals

Most papers have one derivation and one numerical from each unit. Common topics:

Elastic constants and their relations.
SFD and BMD for overhanging beams with points of contraflexure.
Flexure formula and shear stress distribution.
Deflection by Macaulay's method.
Mohr's circle, torsion of shafts and Euler's column theory.

Typical numericals to practise

Find stress and elongation of a stepped or tapering bar.
Draw SFD and BMD for an overhanging beam and locate the point of contraflexure.
Find maximum bending and shear stress in a beam section.
Find principal stresses and maximum shear stress by Mohr's circle.
Find shaft diameter for a given power and speed, and Euler's load for a column.

A one-week plan with these notes

If your Strength of Materials exam is a week away, this plan covers the whole PDF once and leaves time for practice.

Day 1: Simple stress and strain and Shear force and bending moment. Read the section, then close the PDF and write the key formulas and tables from memory.
Day 2: Bending and shear stresses and Deflection of beams. Read the section, then close the PDF and write the key formulas and tables from memory.
Day 3: Torsion and springs and Principal stresses. Read the section, then close the PDF and write the key formulas and tables from memory.
Day 4: Columns and struts and Cylinders and combined stresses. 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 the Strength of Materials or Mechanics of Solids paper with standard results and examples.
GATE CE basics: Mohr's circle, deflection formulas, Euler effective lengths, elastic constants and shear stress distribution are frequent GATE CE questions.
Site work and interviews: structural interview candidates get a quick refresher on beams, columns and stresses.

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 and does not depend on IS codes, but the values you use for E and μ should match those given in the question or 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 Strength of Materials Handwritten Notes PDF