Shear & Moment Diagram | Problem 6-4 (Part 1) | Simply Supported Beam | Mechanics of Materials

Описание: Video Description — Shear & Moment (Problem 6-4)
In this video, we solve Problem 6-4 from Mechanics of Materials / Structural Analysis, step-by-step. You’ll learn how to express the shear force V(x) and bending moment M(x) for a simply supported beam in two regions, 0 to 3 m and 3m to 4.5m:

Problem 6-4 Statement: Express the shear and moment in terms of x for 0 to 3 m and 3 m to 4.5 m, and then draw the shear and moment diagrams for the simply supported beam.

What you’ll learn
How to find support reactions using
∑F =0 and ∑M=0

How to write piecewise functions for V(x) and M(x) across discontinuities

Using unit-step (Heaviside) functions to compactly model loads

How to plot SFD & BMD accurately from the equations and check boundary conditions.

Who is this for?
Students in Statics/Mechanics of Materials who want a clean, exam-ready process for piecewise shear/moment derivations and diagram sketching.

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Tags: shear force diagram, bending moment diagram, simply supported beam, piecewise functions, mechanics of materials, structural analysis

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