Torsion in Hollow Shaft || Derivation || strength of material скачать в хорошем качестве

Torsion in Hollow Shaft || Derivation || strength of material

‪@aboveengineering‬ Torsion of Hollow Shaft | Derivation, Formula, Shear Stress & Angle of Twist | Strength of Materials In this lecture of Strength of Materials (SOM), we derive the torsion equation for a hollow circular shaft, an important topic for B.Tech Mechanical, Civil, Production, Diploma, SSC JE, and GATE exams. Hollow shafts are widely used in mechanical systems because they offer higher strength-to-weight ratio, and understanding their torsional behavior is essential for design engineers. In this video, we explain the torque–shear stress relationship, polar moment of inertia for hollow shafts, and the formula for angle of twist, along with the comparison between solid and hollow shafts. 🔗 Add Previous Lecture Links Here: Lecture – Torsion Equation for Solid Shaft: [Paste Link Here] 📌 Topics Covered in This Lecture: – What is a Hollow Shaft? – Difference Between Solid and Hollow Shafts – Stress Distribution in Hollow Shafts – Polar Moment of Inertia (J) for Hollow Shaft J = \frac{\pi}{2}(R_o^4 - R_i^4) \frac{T}{J} = \frac{\tau}{R_o} = \frac{G\theta}{L} – Maximum & Minimum Shear Stress – Strength & Weight Advantages – Numerical Example (If included) – Comparison with Solid Shaft This lecture is helpful for: ➡️ B.Tech Mechanical / Civil / Production ➡️ Diploma Mechanical ➡️ SSC JE / RRB JE / GATE Aspirants ➡️ Strength of Materials & Machine Design Students ➡️ University Exam Preparation --- 📚 Recommended Books (Engineering Standard): ✔ Strength of Materials – R.K. Bansal ✔ Strength of Materials – S.S. Bhavikatti ✔ Strength of Materials – S. Ramamrutham ✔ Mechanics of Materials – Beer & Johnston ✔ Engineering Mechanics of Solids – Egor Popov --- 🔍 POPULAR SEARCH TERMS (SEO Keywords) hollow shaft torsion derivation, torsion equation for hollow shaft, polar moment of inertia hollow shaft, strength of materials torsion, T/J = τ/R = Gθ/L, hollow vs solid shaft, torsion SOM derivation, mechanical engineering torsion, civil engineering torsion, shear stress hollow shaft, angle of twist hollow shaft, torque formula hollow shaft, stress distribution hollow shaft, machine design shaft, torsion chapter SOM, btech mechanical SOM, diploma mechanical SOM, ssc je torsion, gate torsion question, hollow shaft numerical, torsion theory explained, engineering mechanics torsion, J = π/2 (Ro^4 – Ri^4), torque and shear stress relationship, aboveengineering SOM, hollow shaft design, shaft strength comparison #torsion #hollowshaft #strengthofmaterials #som #mechanicalengineering #civilengineering #machineDesign #btechmechanical #sscje #gate2025 #engineeringlecture #aboveengineering --- ⚖️ COPYRIGHT DISCLAIMER Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for “Fair Use” for purposes such as teaching, scholarship, comment, and research. Non-profit, educational or personal use tips the balance in favor of fair use. --- 📢 Subscribe to @aboveengineering for complete Strength of Materials, Torsion, Bending, and Mechanical Engineering lectures.