Where does the centroid of a uniform distributed load located?

The line of action of the equivalent force acts through the centroid of area under the load intensity curve. For a rectangular loading, the centroid is in the center.

What is a trapezoidal load?

Trapezoidal load (4p) – A load defined on four points.

How do you convert from distributed load to concentrated load?

Conversion of uniform distributed load to point load is very simple. By simply multiplying the intensity of udl with its loading length. The answer will be the point load which can also be pronounced as Equivalent concentrated load (E.C.L).

What is centroid of area?

The centroid of an area can be thought of as the geometric center of that area. The location of the centroid is often denoted with a ‘C’ with the coordinates being x̄ and ȳ, denoting that they are the average x and y coordinate for the area. The centroid (marked C) for a few common shapes.

How is a trapezoidal distributed load on a beam calculated?

Using the principle of superposition a trapezoidal load on a beam can be split into a triangular and rectangular distributed load which can then be calculated separately. Once individual support reactions are calculated they can be added together for each case to get the resultant support reaction.

Where is the centroid of a trapezoid formula?

Centroid of a Trapezoid Formula. A trapezoid is a quadrilateral with two sides parallel. The centroid of a trapezoid lies between the two bases.

How to find the centroid of an area?

The Centroid of an area (or line) that is made up of several simple shapes can be found easily using the centroids of the individual shapes. If an area is composed by adding some shapes and subtracting other shapes , then the moments of the subtracted shapes need to be subtracted as well.

How to calculate the magnitude of a distributed load?

•For a triangular distributed load, the magnitude of the resultant force is the area of the triangle, ½*b*h 5 kN/m F kN m m F b h kN r r 10 * . 5 * 5 * 4 2 1 4 m 4 m