Engineering Statics by Hand: Force Vectors, Moments, Free-Body Equilibrium, Support Reactions, Trusses by Joints and Sections, Centroids, Second Moments of Area & Friction
Make every force balance before anything moves. You will resolve forces into components, add them into a resultant, compute moments, solve free-body diagrams for cable tensions and support reactions, find every member force of a truss by joints and by sections, locate centroids of composite shapes, apply the parallel-axis theorem and decide between sliding and tipping, with every cell checked as you go.
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About this course
This course teaches engineering statics with toy structures in a spreadsheet. You split forces into components with COS and SIN, add them into a resultant and fix its direction with ATAN and a quadrant correction. You compute moments as x·Fy − y·Fx, move forces with a couple and solve a ring on two cables as a 2 × 2 system with Cramer's rule written out. You find the pin and roller reactions of an L-frame, solve a roof truss joint by joint and a footbridge by sections, locate centroids with SUMPRODUCT, apply the parallel-axis theorem and finish with sliding versus tipping and three load cases against a fictional allowable force.
Lessons
- Force Vectors: Components with COS and SIN, the Resultant & Its Direction with a Quadrant Correction Pro
- Moments & Couples: x·Fy − y·Fx About a Point, a Couple, Moving a Force & the Line of Action Pro
- Particle Equilibrium: a Ring on Two Cables, ΣFx = 0 and ΣFy = 0 as a 2 × 2 System & Cramer's Rule Pro
- Rigid-Body Equilibrium: Free-Body Diagram of an L-Frame, Pin and Inclined Roller, Moments First & Zero Checks Pro
- Trusses – Method of Joints: Member Angles from Coordinates, Joints in a Set Order, Tension, Compression & Zero-Force Members Pro
- Trusses – Method of Sections: One Cut, Two Moment Equations, the Diagonal & the Most Loaded Member of a Footbridge Pro
- Centroids & Second Moments of Area: Composite Shapes with a Hole, SUMPRODUCT & the Parallel-Axis Theorem Pro
- Capstone – Friction, Sliding vs Tipping & Three Load Cases on the Footbridge Against a Fictional Allowable Force Pro