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2. pressbooks.library.upei.ca › distributed-loads3.3 Distributed Loads – Engineering Mechanics: Statics

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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.

3. eng.libretexts.org › Bookshelves › Mechanical4.5: Equivalent Point Load - Engineering LibreTexts

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   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.

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5. eng.libretexts.org › Bookshelves › Mechanical3.3: Distributed Loads - Engineering LibreTexts

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   Oct 17, 2024 · As an alternative to using integration, we can use the area under the force curve and the centroid of the area under the force curve to find the equivalent point load’s magnitude and point of application respectively.

6. engineeringstatics.org › distributed-loadsStatics: Distributed Loads

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   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. 🔗.

7. eng.libretexts.org › Bookshelves › Mechanical4.6: Equivalent Point Load via Integration - Engineering ...

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   Aug 18, 2024 · 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.

8. www.kpu.ca › sites › defaultREDUCTION OF A SIMPLE DISTRIBUTED LOADING

   www.kpu.ca › sites › default

   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.

9. People also ask

   How do you find the equivalent point load?

   • As an alternative to using integration, we can use the area under the force curve and the centroid of the area under the force curve to find the equivalent point load's magnitude and point of application respectively. Figure 4.5.4 4.5. 4: The magnitude of the equivalent point load is equal to the area under the force function.

   4.5: Equivalent Point Load - Engineering LibreTexts

   eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_Map_(Moore_et_al.)/04:_Statically_Equivalent_Systems/4.05:_Equivalent_Point_Load

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   How do you find the equivalent point load via integration?

   • The force function relates the magnitude of the force to the x x position along the top of the box. Finding the equivalent point load via integration always begins by determining the mathematical formula that is the force function. The force function mathematically relates the magnitude of the force (F) (F) to the position (x) (x).

   4.5: Equivalent Point Load - Engineering LibreTexts

   eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_Map_(Moore_et_al.)/04:_Statically_Equivalent_Systems/4.05:_Equivalent_Point_Load

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   What is the magnitude of the equivalent point load?

   • The magnitude of the equivalent point load is equal to the area under the force function. Also the equivalent point load vector will always travel through the centroid of the area under the force function.

   Mechanics Map - Equivalent Point Load via Composite Parts

   mechanicsmap.psu.edu/websites/4_statically_equivalent_systems/4-6_equivalent_point_load_composite_parts/equivalentpointloadparts.html

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   How do you find the moment of a distributed force?

   • The moment of the distributed force will be the integral of the force function (F (x)) times the moment arm about the origin (x). The moment of the equivalent point load will be equal to the magnitude of the equivalent point load that we just found times the moment arm for the equivalent point load (x eq).

   3.3 Distributed Loads – Engineering Mechanics: Statics

   pressbooks.library.upei.ca/statics/chapter/distributed-loads/

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   What is the magnitude of a distributed load?

   • 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.

   Statics: Distributed Loads

   engineeringstatics.org/distributed-loads.html

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   How do you convert a distributed load into a unit of force?

   • We must integrate the distributed load over its entire range to convert the force into the usual units of force. For analysis purposes in statics and dynamics, we will usually substitute in a single point force that is statically equivalent to the distributed load in the problem.

   3.3: Distributed Loads | Engineering LibreTexts

   eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Mechanics_-_Statics_(Osgood_Cameron_and_Christensen)/03:_Rigid_Body_Basics/3.03:_Distributed_Loads

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10. mechanicsmap.psu.edu › equivalentpointloadpartsMechanics Map - Equivalent Point Load via Composite Parts

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    There are two options available to find these values: We can find the magnitude and the point of application of the equivalent point load via integration of the force functions. We can use the area/volume and the centroid of the area or volume under the force function.