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Statics: Lesson 43 - Centroids of Complex Shapes: Step-by-Step Integration
Struggling with centroids of curves? In this clip, Jeff Hanson solves a complex problem involving a parabolic curve and a linear line. Watch the full integration to find X-bar for a non-standard shape.
What You Will Learn in This Clip:
• How to integrate a parabolic function for centroid calculations
• Setting up the X * dA integral for complex boundaries
• Dividing the moment by total area to find the exact centroid location
• Final result calculation: X-bar = 4.5 inches
Perfect for engineering students mastering Statics and preparing for midterms or the FE Exam.
Timestamps:
• 06:05 - Setting up X * dA
• 07:45 - Integrating the Polynomials
• 09:22 - Final X-bar Calculation
#statics #engineeringmechanics #centroid #calculus #integration #jeffhanson
Видео Statics: Lesson 43 - Centroids of Complex Shapes: Step-by-Step Integration канала Jeff Hanson
What You Will Learn in This Clip:
• How to integrate a parabolic function for centroid calculations
• Setting up the X * dA integral for complex boundaries
• Dividing the moment by total area to find the exact centroid location
• Final result calculation: X-bar = 4.5 inches
Perfect for engineering students mastering Statics and preparing for midterms or the FE Exam.
Timestamps:
• 06:05 - Setting up X * dA
• 07:45 - Integrating the Polynomials
• 09:22 - Final X-bar Calculation
#statics #engineeringmechanics #centroid #calculus #integration #jeffhanson
Видео Statics: Lesson 43 - Centroids of Complex Shapes: Step-by-Step Integration канала Jeff Hanson
Centroids of Complex Shapes centroids by integration examples jeff hanson statics engineering mechanics how to find centroid of a curve parabolic centroid calculation integration method for centroids x-bar calculation statics calculus based statics problems civil engineering mechanical engineering structural analysis engineering students physics for engineers first moment of area calculus area between two curves statics centroid of a composite area
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30 апреля 2026 г. 21:00:58
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