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

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. If this helped, like 👍, subscribe, and drop your next beam problem below! Tags: shear force diagram, bending moment diagram, simply supported beam, piecewise functions, mechanics of materials, structural analysis #shearforce #bendingmoment #SFD #BMD #beam #engineeringmechanics #mechanicsofmaterials #structuralanalysis