Deflection of Beam | Cantilever Beam with Point Load at Free End (Double Integration Method)

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structural analysis, beam differential equation, engineering mechanics,
civil engineering, mechanical engineering, beam deflection solved problems

In this video, we present a clear and well-simplified explanation of deflection of beam using the double integration method, focusing on a cantilever beam subjected to a concentrated (point) load at the free end. This is one of the most important and frequently examined cases in Strength of Materials and Structural Analysis, and it is explained step by step for easy understanding.

You will learn how to formulate the bending moment equation, apply the beam differential equation, and integrate systematically to obtain expressions for slope and deflection of the cantilever beam. Special attention is given to the correct application of boundary conditions, ensuring accuracy and clarity throughout the solution.

This lesson is part of the Deflection of Beam playlist on Tutor Jerry Academy, where we cover all major cases of cantilever, simply supported, and fixed beams under different loading conditions using standard analytical methods such as the double integration method, Macaulay’s method, and the moment area method.

Recommended for:
Civil engineering students, mechanical engineering students, diploma students, and candidates preparing for GATE, FE Exam, and university engineering examinations.

👉🏽 Watch the video in sequence with the playlist for maximum understanding.
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