Metallurgy And Material Science By Pakirappa Pdf Free |best| Download May 2026

Metallurgy and Material Science by Pakirappa — Enlightening Review

Pakirappa’s Metallurgy and Material Science is a clear, compact textbook that serves well for undergraduates and self-learners who want a pragmatic introduction to the fundamentals that shape how materials behave and how engineers select and process them. The book’s strengths lie in its logical progression, practical emphasis, and approachable explanations that bridge atomic-scale ideas to real-world engineering decisions.

Why it matters

• Materials are the backbone of engineering: from microchips to bridges, knowing how metals deform, fail, and can be improved directly affects safety, cost, and performance. This text focuses on metals but situates them within the broader materials landscape, making the subject relevant to mechanical, civil, and manufacturing engineers.

Clarity and pedagogical style

• Pakirappa writes plainly without sacrificing rigor. Core concepts—crystal structure, dislocations, phase diagrams, heat treatment, and corrosion—are presented in digestible chapters with worked examples and figures that reinforce intuition.
• The book favors conceptual clarity over heavy mathematics, which is ideal for readers who need engineering intuition more than theoretical depth. When equations appear, they’re used to illuminate physical meaning rather than to intimidate.

Content highlights

• Crystal structures and defects: Good visual descriptions of lattices, slip systems, and how defects control strength and ductility.
• Phase diagrams and equilibrium: Practical walkthroughs of binary phase diagrams and tie-line reasoning—essential for alloy design and heat-treatment decisions.
• Mechanical behavior: Clear treatment of elasticity, plasticity, hardening mechanisms, and fracture modes with engineering-relevant examples.
• Heat treatment and microstructure control: Useful guidance on annealing, quenching, tempering, and how microstructure maps to properties.
• Corrosion and protection: Concise coverage of electrochemical corrosion, common environments, and practical prevention strategies.
• Manufacturing processes: An overview of casting, forging, welding, and surface treatments that connects processing to final properties.

Strengths

• Practical orientation: Emphasis on how concepts apply to selecting and treating materials in real engineering contexts.
• Accessible style: Suitable for students new to materials or professionals seeking a refresher.
• Balanced scope: Covers essential topics without overwhelming detail, making it a good course textbook or introductory reference.

Limitations

• Depth: Readers seeking advanced materials science (electronic materials, computational materials, or in-depth thermodynamics) will need supplemental advanced texts.
• Illustrations and exercises: While effective, some figures and problem sets are relatively modest compared with larger, more expensive texts; ambitious learners may want additional problem sources.

Who should read it

• Undergraduate engineering students taking introductory materials/metallurgy courses.
• Technicians or junior engineers needing practical knowledge to inform material choices and heat-treatment decisions.
• Self-learners who prefer a concise, application-focused book rather than a dense, theory-first treatise.

Takeaway Pakirappa’s Metallurgy and Material Science is an engaging, practical primer that demystifies why materials behave the way they do and how processing controls properties. It’s especially valuable for readers seeking engineering intuition and actionable knowledge—an efficient bridge from classroom fundamentals to hands-on materials decisions.

While searching for a "Metallurgy and Material Science by Pakirappa PDF Free Download" is common for students looking to save on costs, it is important to balance accessibility with academic integrity.

Below is an overview of why this textbook is a staple for engineering students, the core topics it covers, and the best ways to access it legally and safely.

Why is "Metallurgy and Material Science" by Pakirappa Popular?

Prof. Pakirappa’s work is highly regarded in technical circles, particularly for students under VTU (Visvesvaraya Technological University) and other major Indian technical boards. The book is known for:

Simplifying Complex Theories: It breaks down the atomic structure and chemical properties of metals into digestible concepts.

Exam-Oriented Approach: The layout often mirrors the syllabus requirements of undergraduate engineering programs.

Illustrative Diagrams: Clear sketches help students visualize crystal lattices and phase diagrams, which are notoriously difficult to master. Key Topics Covered in the Book

If you are studying for an exam or a professional certification, Pakirappa covers the essential pillars of material science:

Crystal Structure: Understanding BCC, FCC, and HCP structures and how atomic packing affects material strength.

Phase Diagrams: A deep dive into the Iron-Carbon equilibrium diagram, which is the "holy grail" for understanding steel and cast iron.

Heat Treatment: Detailed explanations of Annealing, Normalizing, Quenching, and Tempering processes.

Mechanical Properties: Insights into stress-strain curves, hardness testing (Brinell, Rockwell), and fatigue/creep mechanisms.

Modern Materials: Introduction to composites, ceramics, and polymers. The Risks of "Free PDF" Downloads

When searching for free PDFs on third-party file-sharing sites, you should be aware of several risks:

Malware and Security: Many sites claiming to offer free downloads are gateways for viruses or phishing scams.

Incomplete Content: "Free" versions are often poorly scanned or missing crucial chapters and diagrams.

Copyright Issues: Downloading copyrighted material without authorization bypasses the legal protections for authors and publishers who invest years into these educational resources. How to Access the Book Legally

Instead of risking a suspicious download, consider these safer and more effective alternatives:

College Libraries: Most engineering libraries stock multiple copies of Pakirappa’s textbooks. You can often borrow them for a semester or scan specific chapters for personal use under "fair use" policies.

Digital Libraries: Check if your institution has a subscription to digital repositories like N-LIST or the National Digital Library of India (NDL), where textbooks are often available for free to students.

Used Bookstores: Sites like Amazon (Used section) or local markets (like Avenue Road in Bangalore) offer these books at a fraction of the original price.

E-Book Rentals: Many publishers now offer low-cost digital rentals that give you access for the duration of your semester. Final Verdict

Professor Pakirappa’s Metallurgy and Material Science is an invaluable resource for mastering the fundamentals of engineering materials. While the temptation for a quick "free download" is high, utilizing your university library or a legitimate e-book platform ensures you get the most accurate, high-quality information without compromising your digital security.

For students or professionals seeking " Metallurgy and Material Science

" by Pakirappa, this text is a widely recognized resource in engineering curricula, particularly for Mechanical and Production Engineering . Published by Durga Publishing House, it is currently in its 8th edition and is praised for covering fundamental topics from a basic level . Core Content & Syllabus Overview

While direct PDF downloads for copyrighted material are often restricted to educational platforms like Scribd , the book typically aligns with the following standard engineering units:

Structure of Metals: Bonds in solids (metallic bonds), crystallization, crystal imperfections, and the effect of grain boundaries on properties .

Constitution of Alloys: Types of solid solutions, intermediate alloy phases, and Hume-Rothery rules for alloying .

Equilibrium Diagrams: Construction of phase diagrams, isomorphous systems, eutectic systems, and the Lever Rule . Materials are the backbone of engineering: from microchips

Ferrous & Non-Ferrous Alloys: Classification of steels, cast irons, and alloys of copper, aluminum, and titanium .

Heat Treatment: Processes such as annealing, normalizing, hardening, tempering, and the use of TTT diagrams .

Advanced Materials: Introduction to powder metallurgy, ceramics, composites, and polymers . Where to Find the Book

Physical Copy: You can find the latest edition on Amazon India, where it has received positive reviews for its comprehensive basic coverage .

Digital Previews: Limited previews or document summaries are often available on Scribd for review before purchase .

Supplementary Notes: For immediate study, many universities provide open-access Metallurgy & Material Science notes that cover identical syllabi on sites like MRCET Digital Notes . Recommended Reference Books

If you need alternative perspectives or deeper technical analysis, these standard texts are often used alongside Pakirappa: Material Science and Engineering by V. Raghavan Introduction to Physical Metallurgy by Sidney H. Avner Material Science & Metallurgy by O.P. Khanna .

If you are looking for a specific chapter or problem solution from this book, let me know and I can help you find a targeted explanation! Metallurgy And Material Science 8ED - Books - Amazon.in

Finding a reliable PDF for Metallurgy and Material Science by Pakirappa can be a bit of a hunt, as it’s a staple for engineering students—particularly those under VTU and other technical universities.

Whether you are prepping for semester exams or competitive tests like GATE, Why Pakirappa’s Metallurgy and Material Science?

Prof. Pakirappa has a knack for taking complex thermodynamic phase diagrams and crystalline structures and making them digestible. The book is popular because it doesn't bury the lead; it gets straight to the point with:

Crystal Geometry: Clear explanations of BCC, FCC, and HCP structures.

Phase Diagrams: Comprehensive breakdowns of the Iron-Carbon equilibrium system.

Heat Treatment: Practical insights into annealing, normalizing, and hardening.

Mechanical Properties: Easy-to-understand definitions of toughness, ductility, and creep. Is a "Free Download" Legal?

While many sites claim to offer a Metallurgy and Material Science by Pakirappa PDF free download, it is important to be cautious. Most of these links are hosted on third-party document-sharing sites (like Scribd or Academia.edu) where users upload scanned copies.

The book " Metallurgy and Material Science" by Pakirappa is a widely referenced textbook in Indian engineering curricula, particularly for Mechanical, Metallurgy, and Aeronautical engineering students. Published primarily by Durga Publishing House, it is known for its concise coverage of material properties and industrial metallurgical processes. Key Features of the Book

Comprehensive Syllabus Coverage: Designed to align with the syllabi of various technical universities, making it a staple for semester exam preparation.

Structured Content: The text is typically organized into units that cover foundational and advanced topics, including:

Structure of Metals: Crystallography, metallic bonding, and crystal imperfections.

Phase Diagrams: Detailed explanations of binary systems, including the Iron-Carbon (Fe-Fe3C) equilibrium diagram.

Heat Treatment: Processes like annealing, normalizing, hardening, and tempering.

Advanced Materials: Coverage of ceramics, composites, and powder metallurgy.

Student-Friendly Language: Focuses on presenting complex metallurgical phenomena in a simple, graspable manner with practical examples.

Examination Oriented: Includes review questions at the end of chapters to help students prepare for competitive exams like GATE and UPSC. Availability and Access

While "free download" PDFs of copyrighted textbooks are often found on document-sharing sites, users should prioritize legal and high-quality versions:

Physical Copies: Available through major retailers like Amazon India (8th Edition) and Flipkart.

Used Copies: Economical options can sometimes be found on platforms like Used Books World.

Legal Digital Access: Many university libraries provide digital access or scanned notes for their students. For general engineering metallurgy notes that cover similar topics, resources like FreeBookCentre offer open-access PDFs. Metallurgy And Material Science 8ED - Books - Amazon.in

The textbook Metallurgy and Material Science , published by Durga Publishing House

, is a widely used resource for engineering students, particularly those in Mechanical and Metallurgical disciplines. The book is designed to simplify complex concepts through clear diagrams and structured explanations. Book Overview & Key Content Structure of Metals

: Covers atomic bonding, crystallization, and crystal imperfections. Constitution of Alloys : Explains the necessity of alloying, solid solutions, and Hume-Rothery rules Equilibrium Diagrams : Detailed study of the Iron-Carbon ( ) phase diagram , TTT diagrams, and the lever rule. Heat Treatment

: Processes including annealing, normalizing, hardening, tempering, and surface hardening. Material Types

: Analysis of steels, cast irons, and non-ferrous alloys (e.g., copper, aluminum, titanium). Advanced Materials

: Introduction to powder metallurgy, ceramics, composites, and smart materials. Malla Reddy College of Engineering and Technology Access and Resources

While the full copyrighted PDF of Pakirappa's work is not legally available for free download on official educational platforms, students often use the following alternatives: Digital Notes : Similar curriculum-aligned materials can be found on MRCET Digital Notes Course Repositories : Institutions like Raghu Engineering College

Title: Download Metallurgy And Material Science By Pakirappa PDF for Free! Clarity and pedagogical style

Introduction: Are you a student or professional in the field of metallurgy or material science? Are you looking for a comprehensive textbook that covers the fundamentals of metallurgy and material science? Look no further! "Metallurgy And Material Science" by Pakirappa is a highly recommended textbook that provides in-depth knowledge of the subject. In this blog post, we will provide you with a free PDF download link for the book.

About the Book: "Metallurgy And Material Science" by Pakirappa is a popular textbook that covers the basics of metallurgy and material science. The book provides a detailed overview of the structure, properties, and applications of various metals and materials. It is widely used as a reference book by students, researchers, and professionals in the field of metallurgy, mechanical engineering, and materials science.

Key Features of the Book:

• Comprehensive coverage of metallurgy and material science
• Detailed explanation of the structure, properties, and applications of various metals and materials
• Includes topics on extractive metallurgy, physical metallurgy, and material science
• Covers recent advances in the field of metallurgy and material science

Why Download This Book? Downloading "Metallurgy And Material Science" by Pakirappa can be beneficial for:

• Students: The book provides a comprehensive understanding of the subject, making it easier to grasp complex concepts.
• Researchers: The book provides a detailed overview of the latest advances in the field, making it a valuable resource for research.
• Professionals: The book provides a reference guide for professionals working in the field of metallurgy and material science.

Free PDF Download Link: You can download "Metallurgy And Material Science" by Pakirappa PDF for free by clicking on the link below:

[Insert actual download link or a link to a reputable source]

Table of Contents: The book covers the following topics:

• Introduction to Metallurgy
• Extractive Metallurgy
• Physical Metallurgy
• Material Science
• Structure and Properties of Materials
• Applications of Materials

Conclusion: "Metallurgy And Material Science" by Pakirappa is a valuable resource for anyone interested in the field of metallurgy and material science. With its comprehensive coverage and detailed explanations, the book is a must-have for students, researchers, and professionals. Download the PDF for free and enhance your knowledge of the subject!

Disclaimer: Please note that the download link provided is for educational purposes only. We do not host or own the copyright of the book. It is the responsibility of the user to ensure that they are not infringing on any copyright laws.

I hope this helps! Let me know if you'd like me to modify anything.

edit 24-02-2023

Here I gave sample Blog you can use according to Your Prefrence.

While a direct, legal "free download" for the complete 413-page copyrighted textbook Metallurgy and Material Science by Pakirappa is not available due to copyright protections , you can find significant academic resources and digital notes that cover the same syllabus. Available Digital Resources

University Digital Notes: Detailed course notes for "Metallurgy & Material Science" are available from Malla Reddy College of Engineering and Technology (MRCET), covering key units like crystal structures, phase diagrams, and composite materials .

Open Access Textbooks: You can find free alternative textbooks on similar topics through Free Book Centre, which hosts titles like Metallurgical and Material Science covering crystallography and Hume-Rothery rules .

Digital Libraries: Platforms like the Internet Archive and Project Gutenberg provide free access to public domain and digitized academic materials . Book Details for Purchase

If you specifically need the Pakirappa edition for your curriculum, it is published by Durga Publishing House . Publisher: Durga Publishing House . Page Count: Approximately 413 pages .

Common Syllabus Topics: Crystal structures, Phase Diagrams (Fe-Fe3C), Heat Treatment, and Non-ferrous Metals and Alloys . Metallurgy & Material Science R20A0306

The book "Metallurgy and Material Science" by Pakirappa is a widely used academic resource, particularly for mechanical and metallurgical engineering students. While complete "free downloads" of the full copyrighted text may be restricted, several educational platforms provide comprehensive notes, summaries, and digital versions for study. Where to Access the Content

Study Materials & Snippets: Platforms like Scribd and VDOC.PUB host user-uploaded PDF versions or detailed study guides based on Pakirappa's work.

Academic Notes: Many technical colleges, such as the Malla Reddy College of Engineering and Technology, offer digital notes that align with the curriculum covered in Pakirappa’s book.

Purchase Options: You can find the 8th edition of the book on Amazon.in or look for more affordable used copies at Used Books World. Key Topics Covered

Based on the standard syllabus for this subject, the book typically includes:

Crystal Structure: Atomic bonding, unit cells, and imperfections in solids.

Phase Diagrams: Understanding binary alloy systems and the Iron-Carbon equilibrium.

Heat Treatment: Processes like annealing, normalizing, and hardening to alter metal properties.

Engineering Materials: Detailed study of ferrous and non-ferrous alloys, ceramics, and composites.

Mechanical Behavior: Analysis of material fatigue, creep, and fracture mechanisms. Metallurgy & Material Science R20A0306

While there are many resources online that mention a "free download" for Metallurgy And Material Science by Pakirappa

, these are often unofficial uploads that may violate copyright or contain incomplete material. For a complete and authorized version, it is recommended to purchase the physical book or use official academic notes provided by universities. Official Purchase Options

You can find the textbook through major retailers and specialized used book stores: Amazon India : Offers various editions, including the Metallurgy And Material Science 8th Edition : Lists the 7th Edition 8th Edition of the book by Pakirappa. Used Books World : A local option for finding used copies of Pakirappa's metallurgy books at lower prices. Used Books World Free Academic Alternatives (Legal)

If you are looking for free study material on this topic, several institutions provide comprehensive lecture notes and open-access textbooks that cover the same syllabus: MRCET Digital Notes Malla Reddy College of Engineering and Technology

provides a full PDF of lecture notes covering crystallization, phase diagrams, and heat treatment. FreeBookCentre : Offers a variety of free Engineering Metallurgy books

and PDFs covering core topics like crystallography and alloy constitution. : While it often requires a subscription, you can find course overviews and module notes specifically tailored to metallurgy syllabus requirements. Malla Reddy College of Engineering and Technology specific chapter or topic summary from these available academic notes? Pdfmergerfreecom Engineering Materials by Pakirappa PDF

Metallurgy And Material Science By Pakirappa Pdf Free Download: A Comprehensive Guide

Metallurgy and material science are two vital branches of engineering that deal with the study of metals, alloys, and materials. The subject is crucial in understanding the properties, applications, and processing techniques of various materials. For students and professionals in the field, having access to reliable study materials is essential. In this article, we will discuss the book "Metallurgy And Material Science" by Pakirappa and provide information on how to download the PDF version for free.

Introduction to Metallurgy and Material Science [Insert related posts

Metallurgy and material science are interdisciplinary fields that combine principles from physics, chemistry, and engineering to understand the behavior of materials. The subject involves the study of the structure, properties, and applications of metals, alloys, and other materials. Metallurgy and material science play a vital role in the development of various industries, including aerospace, automotive, construction, and electronics.

Importance of Metallurgy and Material Science

The importance of metallurgy and material science cannot be overstated. The subject has numerous applications in various industries, including:

1. Aerospace Industry: Metallurgy and material science play a critical role in the development of aircraft and spacecraft materials, which require high strength, low weight, and resistance to extreme temperatures.
2. Automotive Industry: The automotive industry relies heavily on metallurgy and material science to develop lightweight, high-strength materials for vehicle components.
3. Construction Industry: Metallurgy and material science are essential in the development of construction materials, such as steel, aluminum, and concrete.
4. Electronics Industry: The electronics industry relies on metallurgy and material science to develop materials with specific electrical and thermal properties.

Book Overview: Metallurgy And Material Science By Pakirappa

The book "Metallurgy And Material Science" by Pakirappa is a comprehensive textbook that covers the fundamental principles of metallurgy and material science. The book is widely used by students and professionals in the field and provides an in-depth understanding of the subject. The book covers topics such as:

1. Introduction to Metallurgy: The book provides an introduction to the basics of metallurgy, including the history of metallurgy, types of metals, and metallurgical processes.
2. Material Structure: The book covers the structure of materials, including atomic structure, crystal structure, and microstructure.
3. Material Properties: The book discusses the various properties of materials, including mechanical properties, thermal properties, and electrical properties.
4. Material Processing: The book covers various material processing techniques, including casting, forming, and welding.

How to Download Metallurgy And Material Science By Pakirappa Pdf Free

There are several ways to download the PDF version of "Metallurgy And Material Science" by Pakirappa for free. However, before we proceed, it is essential to note that downloading copyrighted materials without permission is illegal. Therefore, we recommend that you purchase a copy of the book or download it from a legitimate source.

That being said, here are some possible ways to download the PDF version of the book:

1. Online repositories: You can search for online repositories that provide free e-books and study materials. Some popular repositories include Academia.edu, ResearchGate, and Internet Archive.
2. PDF download websites: There are several websites that provide free PDF downloads of books and study materials. Some popular websites include PDF Drive, PDF Books, and Ebookee.
3. Library resources: You can also check your local library or university library to see if they have a copy of the book or provide access to online resources.

Conclusion

In conclusion, "Metallurgy And Material Science" by Pakirappa is a comprehensive textbook that provides an in-depth understanding of the subject. The book is widely used by students and professionals in the field and covers topics such as metallurgy, material structure, material properties, and material processing. While we recommend purchasing a copy of the book or downloading it from a legitimate source, we have also provided information on possible ways to download the PDF version for free. We hope that this article has been helpful in your search for study materials.

FAQs

1. Is it legal to download copyrighted materials without permission?: No, downloading copyrighted materials without permission is illegal.
2. Where can I purchase a copy of Metallurgy And Material Science By Pakirappa?: You can purchase a copy of the book from online retailers such as Amazon or from a local bookstore.
3. What are the applications of metallurgy and material science?: Metallurgy and material science have numerous applications in various industries, including aerospace, automotive, construction, and electronics.

Additional Resources

If you are interested in learning more about metallurgy and material science, here are some additional resources:

1. American Society of Metals (ASM): The ASM is a professional organization that provides resources and information on metallurgy and material science.
2. Materials Science and Engineering Journal: The journal publishes research articles on various aspects of materials science and engineering.
3. Online courses: There are several online courses available that cover metallurgy and material science, including courses on Coursera, edX, and Udemy.

Metallurgy And Material Science By Pakirappa Pdf Free Download

Are you a student or professional in the field of metallurgy and material science looking for a comprehensive resource to enhance your knowledge? Look no further! "Metallurgy and Material Science" by Pakirappa is a highly sought-after textbook that covers the fundamental principles and applications of metallurgy and material science.

In this blog post, we will provide you with information on how to download the PDF version of this book for free. But before that, let's take a brief look at the book's content and significance.

About the Book

"Metallurgy and Material Science" by Pakirappa is a well-structured textbook that provides an in-depth understanding of the subject matter. The book covers various topics, including:

1. Introduction to metallurgy and material science
2. Properties of materials
3. Metallurgy of iron and steel
4. Non-ferrous metals and alloys
5. Material processing and testing

The book is written in a clear and concise manner, making it easy for students and professionals to grasp complex concepts. The author, Pakirappa, is an experienced educator and researcher in the field of metallurgy and material science, and his expertise shines through in the book.

Why Download the PDF Version?

Downloading the PDF version of "Metallurgy and Material Science" by Pakirappa offers several benefits:

1. Convenience: With a PDF version, you can access the book from anywhere, at any time, using your laptop, tablet, or smartphone.
2. Cost-effective: No need to purchase a physical copy of the book, saving you money.
3. Search and navigation: PDF versions often come with search and navigation features, making it easy to find specific information.

Free Download Options

While we cannot provide direct links to pirated or copyrighted materials, we can suggest some legitimate ways to access the PDF version of the book:

1. Online libraries and repositories: Many online libraries and repositories, such as Academia.edu, ResearchGate, or University libraries, offer free access to academic resources, including textbooks. You can try searching for the book on these platforms.
2. Open-source textbooks: Some universities and institutions offer open-source textbooks, which can be downloaded for free. You can search for open-source alternatives to "Metallurgy and Material Science" by Pakirappa.
3. E-book stores: Some e-book stores, like Google Books or Amazon, offer previews or limited-time free downloads of the book. Keep an eye on these platforms for availability.

Caution

When downloading any PDF files from the internet, be cautious of the sources and potential malware risks. Always ensure that you are downloading from a reputable source, and use antivirus software to scan the files.

Conclusion

"Metallurgy and Material Science" by Pakirappa is an excellent resource for students and professionals in the field. While we encourage you to purchase a legitimate copy of the book, we understand that free access options can be helpful. By exploring online libraries, open-source textbooks, and e-book stores, you may be able to find a free PDF version of the book.

Remember to always prioritize legitimate sources and exercise caution when downloading files from the internet.

Disclaimer

This blog post is for informational purposes only. We do not promote or support piracy or copyright infringement. If you have access to the book through legitimate means, we encourage you to purchase a copy or support the author and publisher.

Share Your Thoughts

Have you used "Metallurgy and Material Science" by Pakirappa as a resource? Share your experiences and thoughts on the book in the comments below!

Related Posts

• [Insert related posts, if any]

Subscribe to Our Blog

Stay updated on the latest posts and discussions on various topics, including education, technology, and more. Subscribe to our blog today!

I understand you're looking for a guide to find the book "Metallurgy and Material Science" by Pakirappa as a free PDF. However, I must first give you an important heads-up before sharing helpful strategies.

3. Check University and College Libraries

• Many universities and colleges provide access to educational resources through their libraries. You can check if your institution or a library you have access to has a copy of "Metallurgy And Material Science By Pakirappa".

Frequently Asked Questions (FAQs)

3. Extensive Numerical Problems

One of the most praised features of this book is the solved numerical section. Topics like:

• Hardenability tests (Jominy test)
• Calculation of the number of atoms in a unit cell
• Determination of critical cooling rates are explained with step-by-step solutions.