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Topic 12. Equivalent System: Distributed Loads

Last updated

Oct 12, 2024
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- Topic 10. Moment about a Point in 3D
- Topic 13. Internal Forces: Shear and Moment Diagram

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Topic 12 covers: 1) Explaining an equivalent system; 2) Describing a distributed load; 3) Determining an Equivalent Single Resultant Force and a Resultant Couple Moment from Distributed Loads; 4) Finding the Centroid for rectangular and right triangle-shaped bodies.

Converting distributed loads into an equivalent force and moment is crucial in Statics analysis, as many engineering systems can be effectively modeled as distributed load systems. Mastering these concepts is vital for analyzing complex equilibrium problems and maintaining structural stability under various loading conditions.

Animations are included to demonstrate: 1) how to convert a distributed load into an equivalent force; 2) how to find the centroid for a rectangle and a right triangle.

Extra sheets are provided at the end to review integrals and centroid calculations for simpler geometries, aiding in determining areas when irregular loading shapes are applied to a body.

ENGR 210 F24 Topic 12_Handout_Page_1.jpg

ENGR 210 Topic 12 OER_Page_3.jpg

ENGR 210 Topic 12 OER_Page_4.jpg

ENGR 210 Topic 12 OER_Page_5.jpg

ENGR 210 Topic 12 OER_Page_6.jpg

Animation to Demonstrate How to Find the Centroid for 1) a Rectangle; 2) a Right Triangle

ENGR 210 Centroid Animation.gif

Animation to Demonstrate How to Convert a Distributed Load into an Equivalent Force

ENGR 210 Distributed Loads Animation.gif

Extra Sheets for 1) Integral; 2) Centroid for Simpler Geometry

ENGR 210 Extra Sheet-Integral.jpg

ENGR 210 Extra Sheet-Centroid.jpg

Animation to Demonstrate How to Find the Centroid for 1) a Rectangle; 2) a Right Triangle

Animation to Demonstrate How to Convert a Distributed Load into an Equivalent Force

Extra Sheets for 1) Integral; 2) Centroid for Simpler Geometry

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