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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.
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\)).
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
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 ...
Jun 15, 2022 · The video lecture for section 4.5, Equivalent Point Load via Integration. Delivered by Dr. Jacob Moore. Part of the Mechanics Map digital textbook (mechanics...
- 13 min
- 648
- Jacob Moore
The magnitude of the equivalent point load (Feq) will be equal to the volume under the force function. To calculate this value we will need to calculate the surface integral, integrating the force function over the entire surface. To do this in practice, we will simply integrate the function F (x,y) twice, integrating with respect to one ...
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3.3.1 Intensity. 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.
