Shear Force & Bending Moment | Why Maximum Bending Moment = wL²/8? | Simply Supported Beam With UDL

Question: Proof that the maximum bending moment for a simply supported beam with a uniformly distributed load (UDL) is wL²/8.


In this video, we prove that the maximum bending moment for a simply supported beam carrying a uniformly distributed load (UDL) is wL²/8 using the sectioning method.

You will learn step by step:
✅ How to calculate support reactions for a beam with UDL
✅ Drawing the shear force diagram (SFD) for UDL
✅ Plotting the bending moment diagram (BMD)
✅ Proof that the maximum bending moment = wL²/8 at the mid-span

This is a fundamental question in Strength of Materials, Engineering Mechanics, and Structural Analysis. It is frequently asked in GATE, FE, PE, IIT-JEE, and university exams, making it an essential concept for civil, mechanical, and structural engineering students.

📌 Watch till the end to fully understand the derivation and don’t forget to like, comment, and subscribe for more engineering tutorials from Tutor Jerry Academy.

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