What is the resultant of the uniformly distributed load?

Resultant of Distributed Loads The resultant of a distributed load is equal to the area of the load diagram. It is acting at the centroid of that area as indicated. The figure below shows the three common distributed loads namely; rectangular load, triangular load, and trapezoidal load.

How do distributed loads work?

Distributed loads are forces which are spread out over a length, area, or volume. Distributed load is a force per unit length or force per unit area depicted with a series of force vectors joined together at the top, and will be designated as to indicate that the distributed loading is a function of . x .

What is the formula of centroid?

Then, we can calculate the centroid of the triangle by taking the average of the x coordinates and the y coordinates of all the three vertices. So, the centroid formula can be mathematically expressed as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

What is centroid how it is calculated?

The centroid formula is the formula used for the calculation of the centroid of a triangle. Centroid is the geometric center of any object. The centroid of a triangle refers to that point that divides the medians in 2:1. Centroid formula is given as, G = ((x1 x 1 + x2 x 2 + x3 x 3 )/3, (y1 y 1 + y2 y 2 + y3 y 3 )/3)

Where is the center point of a distributed load?

The location of the force resultant is always the center point (centroid) of the distributed load. For a triangular line load, it can be shown that the force resultant is one half of the peak value of the distributed load multiplied by the distance over which it acts.

How many distrubuted loads are in a triangle?

Distributed Loads  For a triangle, this would be ½ the base times the maximum intensity. 15 Distrubuted Loads Monday, November 5, 2012 Distributed Loads  The location of the equivalent point load will be 2/3 of the distance from the smallest value in the loading diagram.

Where is the centroid in a rectangular loading?

For a rectangular loading, the centroid is in the center. We know the vertical and horizontal coordinates of this centroid, but since the equivalent point force’s line of action is vertical and we can slide a force along its line of action, the vertical coordinate of the centroid not important in this context.

What is the intensity of a triangular load?

 A triangular load has an intensity of 0 at one end and increases to some maximum at the other end. 12 Distrubuted Loads Monday, November 5, 2012 7 Distributed Loads