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Jul 28, 2021 · Figure 4.5.4 4.5. 4: The magnitude of the equivalent point load is equal to the area under the force function. Also, the equivalent point load will travel through the centroid of the area under the force function. The magnitude (Feq) (F e q) of the equivalent point load will be equal to the area under the force function.
- 4.4: Distributed Forces - Engineering LibreTexts
This single point force is called the equivalent point load,...
- 4.6: Chapter 4 Homework Problems - Engineering LibreTexts
Find the equivalent force couple system acting at point A...
- 4.6: Equivalent Point Load via Integration - Engineering ...
After finding the force function, the next step is to find...
- 4.4: Distributed Forces - Engineering LibreTexts
Sep 22, 2020 · The video lecture for section 4.5, Equivalent Point Load. Delivered by Dr. Jacob Moore. Part of the Mechanics Map digital textbook (mechanicsmap.psu.edu)
- 14 min
- 1060
- Jacob Moore
- 1 Intensity
- 2 Equivalent Point Load & Location
- 3 Composite Distributed Loads
Distributed loads are a way to represent a force over a certain distance. Sometimes called intensity, given the variable: Intensity w = F / d [=] N/m, lb/ft While pressure is force over area (for 3d problems), intensity is force over distance (for 2d problems). It’s like a bunch of mattresses on the back of a truck. You can model it as 1 force acti...
Distributed loads can be modeled as a single point force that is located at the centroid of the object. You can use straight-forward algebra, or use integration for more complex shapes. Then you replace the distributed load with the single point load acting at x distance. See in the truck example: There are two ways to calculate this, using integra...
When there is a complicated shape, it can be easier to model it as more than 1 type of distributed load. You calculate each force separately and then use a weighted equation to find the total distance the force acts from a point that you select. [Math Processing Error]Using area: Using Integrals:x¯=∑Fixi∑Fix¯=∫xw(x)dx∫w(x)dx A bit bigger: For the f...
Aug 18, 2024 · After finding the force function, the next step is to find the magnitude of the equivalent point load (Feq). The magnitude of the equivalent point load will be equal to the area under the force function. This will be the integral of the force function over its entire length (in this case, from \ (x = 0\) to \ (x = 2\)).
May 11, 2024 · Finding the equivalent point load for a distributed force often helps simplify the analysis of a system by removing the integrals from the equations of equilibrium or equations of motion in later analysis. Figure 4.5.1 4.5. 1: If the body is unconstrained as shown on the left, the equivalent point load (shown as a solid vector) will cause the ...
If the load is a combination of common shapes, use the properties of the shapes to find the magnitude and location of the equivalent point force using the methods of Section 7.5. If the distributed load is defined by a mathematical function, integrate to find their area using the methods of Section 7.7 .
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location of the point load would be in the center of the rectangle. 9 Distrubuted Loads Monday, November 5, 2012 Distributed Loads ! We do this to solve for reactions. ! For a uniform load, the magnitude of the equivalent point load is equal to the area of the loading diagram and the location of the point load is at the center of the loading ...
