Statics: Lesson 40 - 3D Centroids: The Volume Table Method

Statics: Lesson 40 - How to Find the Centroid of a 3D Volume Transitioning from 2D to 3D? In this lesson, Jeff Hanson makes 3D centroid problems easy! Using a comprehensive example, he demonstrates how to locate the center of volume (X-bar, Y-bar, and Z-bar) for complex composite objects. What You Will Learn: 1.How to divide a 3D object into Rectangular and Triangular Prisms. 2.Setting up the Volume Table Method for 3D coordinates. 3.Calculating Volume and Moment arms from the Origin. 4.Finding Z-bar: The extra dimension in 3D Statics. This step-by-step guide is perfect for engineering students mastering Statics, Mechanics of Materials, and preparing for the FE Exam. Timestamps: 00:16 - Intro to 3D Centroids 01:05 - Breaking the 3D Shape into Parts 01:36 - Building the Volume Table 03:58 - Calculating X, Y, and Z Distances 11:33 - Final Results (X-bar, Y-bar, Z-bar) 𝐌𝐲 𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐢𝐧𝐠 𝐍𝐨𝐭𝐞𝐛𝐨𝐨𝐤 for notes! Has graph paper, study tips, and Some Sudoku puzzles or downtime between classes! https://amzn.to/3pTSZXw 𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐬 𝐏𝐮𝐳𝐳𝐥𝐞 𝐁𝐨𝐨𝐤 Sodoku, Mazes, Word Search, Word Scramble - 400 puzzles and solutions - Perfect Gift! https://amzn.to/3KxtS3L 𝐂𝐚𝐩𝐬𝐭𝐨𝐧𝐞 𝐃𝐞𝐬𝐢𝐠𝐧 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For your senior design project documentation! 100 pages of numbered graph papers. https://amzn.to/3OtZJ6z 𝐅𝐄 𝐑𝐞𝐯𝐢𝐞𝐰 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For you notes and work while preparing for the FE Exam. 100 pages of graph paper! https://amzn.to/3ONRILn 𝐏𝐄 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐒𝐓𝐀𝐑 𝐋𝐨𝐠 Record your projects in preparation of your PE application or for your annual review at work...(Situation, Task, Analysis, Results) https://amzn.to/3rjyAMp 𝐇𝐨𝐰 𝐭𝐨 𝐀𝐜𝐞 𝐒𝐭𝐚𝐭𝐢𝐜𝐬 Great book to review or have on your shelf to make sure you never forget Statics! https://amzn.to/455QRKM Top 15 Items Every Engineering Student Should Have! 1) TI 36X Pro Calculator https://amzn.to/2SRJWkQ 2) Circle/Angle Maker https://amzn.to/2SVIOwB 3) Engineering Paper https://amzn.to/2K7vYbP 4) Mechanical Pencils 40pk https://amzn.to/2GGRG4y 5) Desk/Bed Clamp Reading Light https://amzn.to/2YzN5qG 6) Stainless Steel Rulers https://amzn.to/31aqMcP 7) Small Stapler https://amzn.to/2ynDOrk 8) Post it Tabs for Page Markers https://amzn.to/2SSIP4q 9) Noise Canceling Wireless Headphones https://amzn.to/3aMLbdY 10) Wireless Mouse https://amzn.to/2ROkY5Y 11) Multicolor Pen/Pencil https://amzn.to/3331AXy 12) Portable Charger https://amzn.to/2RsitHG 13) Backpack Rain Cover https://amzn.to/2Gq4ATM 14) Amazon Dot https://amzn.to/2Gs42g4 15) Portable Bluetooth Speaker https://amzn.to/3aIMZV0 This video is NOT sponsored. Some product links are affiliate links which mean if you buy something we'll receive a small commission. Follow me on Instagram   / jeff_hanson_phd   Please consider supporting the channel by subscribing, commenting, and liking each video. This moves these videos up the search list and helps me greatly. Thank you for watching. My Patreon:   / jeff_hanson   Please help keep the free videos coming by donating. Thank you for the many blessings. This video is copyrighted by the Jeff Hanson for the private use of our audience. Any other use of this video or any pictures, descriptions, or accounts of the video without written consent from Jeff Hanson is strictly prohibited. #statics #engineeringmechanics #3Dcentroid #jeffhanson #structuralanalysis #civilengineering #mechanicalengineering