Relation Between Young's Modulus (E) and Modulus of Rigidity (G) | Strength of Materials
This Strength of Materials (SOM) lecture explains the important relation between Young's Modulus (E) and Modulus of Rigidity (G), also known as the Shear Modulus, through a clear and step-by-step derivation. The video covers the concept of elastic constants, including the role of Poisson's Ratio (ν) in establishing the well-known relation E = 2G(1 + ν). Understanding this relationship is essential for analyzing stress and strain behavior in materials and forms a fundamental part of Mechanics of Materials and Engineering Mechanics. This topic is highly important for university examinations as well as competitive exams such as GATE Strength of Materials, SSC JE, RRB JE, and other engineering recruitment examinations. The lecture also includes conceptual explanations and problem-solving approaches to help students strengthen their fundamentals and improve exam performance.
🚀 Learn the relation between Young's Modulus (E) and Modulus of Rigidity (G) in the simplest way!
In this Strength of Materials lecture, we derive and explain the fundamental relationship between Young's Modulus (E) and Modulus of Rigidity (G) using basic concepts of stress, strain, and shear deformation. This topic is extremely important for engineering students and competitive examinations.
📌 Topics Covered
✅ Young's Modulus (E) Explained
✅ Modulus of Rigidity (G) Explained
✅ Shear Strain and Shear Stress
✅ Derivation of the Relation Between E and G
✅ Poisson's Ratio (ν) Concept
✅ Formula: E = 2G(1 + ν)
✅ Important Numerical Applications
✅ Exam-Oriented Shortcuts and Tips
🎯 Useful For
✔ Mechanical Engineering Students
✔ Civil Engineering Students
✔ Diploma Engineering Students
✔ GATE Aspirants
✔ ESE (IES) Aspirants
✔ SSC JE Aspirants
✔ RRB JE Aspirants
✔ State Engineering Service Exams
📖 Key Formula
E=2G(1+ν)
where:
🔹 E = Young's Modulus
🔹 G = Modulus of Rigidity (Shear Modulus)
🔹 ν = Poisson's Ratio
This formula is one of the most frequently asked concepts in Strength of Materials and Mechanics of Materials examinations.
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