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- There are two ways to calculate this, using integrals and using the area and centroid. An equivalent point load is a single point force that will have the same effect on a body as the original loading condition, which is usually a distributed load.
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There are two ways to calculate this, using integrals and using the area and centroid. An equivalent point load is a single point force that will have the same effect on a body as the original loading condition, which is usually a distributed load.
Jul 28, 2021 · Find the magnitude, direction and point of application of the equivalent point load for the distributed force of the sand. Draw the equivalent point load in a diagram.
Oct 17, 2024 · Finding the Equivalent Point Load. When finding the equivalent point load we need to find the magnitude, direction, and point of application of a single force that is equivalent to the distributed load we are given.
Find the equivalent point force and its point of application for the distributed load shown. Answer. The equivalent load is \(\lb{30}\) downward force acting \(\ft{4}\) from the left end. Solution 1. The equivalent load is the ‘area’ under the triangular load intensity curve and it acts straight down at the centroid of the triangle.
To be equivalent, the point force must have a: Magnitude equal to the area or volume under the distributed load function. Line of action that passes through the centroid of the distributed load distribution. 🔗. The next two sections will explore how to find the magnitude and location of the equivalent point force for a distributed load. 🔗.
Find: The equivalent force and its location from point A. Plan: 1) Consider the trapezoidal loading as two separate loads (one rectangular and one triangular). 2) Find F R and 𝑥 for each of the two distributed loads. 3) Determine the overall F R and for the three point loadings.
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 diagram. 10. ¢ A second type of loading we often encounter is a triangular load. 11.