How Beams Vibrate: Simply Supported & Cantilever Cases | IStructE Structural Behaviour Course

Ever wondered how different structures vibrate on their own? In this lecture, Dr Jawed Qureshi, Senior Lecturer in Structural Engineering at the University of East London, explains the fundamentals of vibration analysis of beams. I’ll cover three common cases: cantilever beams, simply supported beams, and beams with spring supports. Through real-world examples, you’ll learn how to determine natural frequency, understand mass and stiffness, and use formulas for different structural conditions. Topics Covered: • What is natural frequency? • How to calculate stiffness for different beam types • Understanding angular frequency (ω) and its relationship with mass and stiffness By the end of this video, you’ll be able to analyse vibration behaviour and apply these concepts to structural engineering problems. This is part of Dr Qureshi’s lecture series on understanding structural behaviour using qualitative analysis. 🔗 Test Your Knowledge: Attempt the Structural Behaviour Quiz 🔗 Download Lecture Slides: https://tinyurl.com/JQureshiStructural to follow along with the lesson. 🔗 IStructE Certificate in Structural Behaviour: https://www.istructe.org/training-and-development/qualifications-and-registrations/certificate-in-structural-behaviour/ ⏰ TIMECODES ⏰ 00:00 – Introduction 00:47 – What is natural frequency? 05:07 – Example 1 Simply supported beam 08:01 – Example 2 Cantilever beam 10:54 – Example 3 Cantilever beam with spring in series 12:45 – Example 4 Cantilever beam with spring in parallel 📺 Related Videos in the IStructE Structural Behaviour Course https://tinyurl.com/JQStructural 1. Deflected shape of frames https://youtu.be/9nHdrE7SUQ0 2. Bending moment diagram of frames https://youtu.be/OydmfmUzoqc 3. Deflected shape of two-member frame https://youtu.be/EkJudgjuG28 4. Zero Force Truss Members https://youtu.be/5QxWIqavQ9U 5. Zero member truss examples https://youtu.be/chpb4XK4wEI 6. Simple Beams structural behaviour https://youtu.be/G4AhfPDAbFU 7. Truss member forces https://youtu.be/j2oAIWPP4MY 8. Structure analysis of TRUSSES – I https://youtu.be/gcpLHQEuBgg 9. Forces in TRUSSES and CRANES https://youtu.be/iCdaObauNHY 10. Propped Cantilever Beam https://youtu.be/8LNQo2ln_Ys 11. Continuous beams https://youtu.be/uz3Th7Lutzw 12. Double Overhanging Beam https://youtu.be/PbTyaQNGLU4 13. Two-span continuous beam https://youtu.be/lPSwCVy2ZV8 14. Zero truss member force https://youtu.be/qtlL8AZjXWo 15. Continuous beam moment diagram https://youtu.be/s0UcmvlqW2k 16. Simple Truss Deflection https://youtu.be/IC8dvF3pIEs 17. Beam with Spring Support https://youtu.be/Uy02gf-Y9nM 18. Cables with point loads https://youtu.be/FxZ6n1d636Y 19. Cables with UDL https://youtu.be/AEAwf3VwWlQ 20. Cables with Distributed and concentrated loads https://youtu.be/Ai0rRdzlI4c 21. Complex Beams Theory https://youtu.be/jz5uiISXpLQ 22. Complex Beams Problems Part 1 https://youtu.be/02wCeUxC5xA 23. Complex Beams Problems Part 2 https://youtu.be/un6KJXMk1jA 24. Complex Beams BMD with correct values https://youtu.be/OetqRNEYQ1Y 25. Complex Beams Approx. BMD https://youtu.be/uWM45I-DSZk 26. Shear force diagram part 1 https://youtu.be/WFbyZE8q1Fg 27. Shear force diagram part 2 https://youtu.be/a_v5C8vUKoA 28. Shear force diagram part 3 https://youtu.be/m5qX2u_nhtY 29. Shear force diagram part 4 https://youtu.be/dVsM6VdmVAM 30. Shear force diagram part 5 https://youtu.be/eeU3iHm74cE 31. Shear force diagram part 6 https://youtu.be/uHFkhFVxp7Y 32. Match SFD with BMD https://youtu.be/yvqUmJP-wpk 33. Natural frequency of beams https://youtu.be/2iajHflk-Fg 🌐 More Learning Resources: • Subscribe to Dr Jawed Qureshi on YouTube: https://www.youtube.com/@DrJQureshi • Follow Dr Qureshi on Twitter: https://twitter.com/DrJQureshi • Connect on LinkedIn: https://www.linkedin.com/in/jawed-qureshi-2370191a2/ • Instagram: https://www.instagram.com/drjqureshi/ 📚 Common Queries Answered: 1. What is natural frequency in beams? 2. How to calculate beam stiffness? 3. What affects a beam’s vibration? 4. How does mass impact frequency? 5. What is angular frequency formula? 6. Why use springs in beam support? 7. How to analyze dynamic structures? 8. What is a simply supported beam? 9. Why does stiffness matter in beams? 10. How does time period affect vibration? #istructe #structuralengineering #civilengineering ________________________________________ Disclaimer: This educational material is provided 'as is' with no warranty. It is intended for learning purposes only and should not be used as a substitute for professional advice. Dr Jawed Qureshi holds the copyright to this presentation. He is a Senior Lecturer in Structural Engineering at the University of East London (UEL), London, UK, with over 20 years of international experience. Dr Qureshi holds a PhD in steel-concrete composite structures from the University of Leeds, UK, and has worked on a major European research project at the University of Warwick, UK, prior to joining UEL.