Item 1 Learning Goal To be able to replace a one-dimensional distributed load by

Question

Item 1 Learning Goal To be able to replace a one-dimensional distributed load by a resultant force that acts at a specific location. In many practical applications, bodies are subjected to distributed loads from forces that are distributed over the body's surface, wind, fluids, and weights are examples of the types of forces that can generate distributed loads. A coplanar distributed load can be defined by using a loading function ww(x) that indicates the intensity of the loading along the member. As shown in the left figure below, a beam of length L is subjected to a distributed load. 0 0 The external effects caused by the distributed load can be represented by an equivalent resultant force, FR, that acts at a specific location, , on the beam. The resultant force's magnitude is calculated by integrating the loading function over the length on which the distributed load acts, this magnitude is equivalent to the area, A, under the loading diagram (shown in the right figure above.) The coordinate location, , is determined by calculating the geometric center of the area. Part A As shown below, a beam is subjected to six different distributed loads. Describe each of these distributed loads Drag the appropriate items to their respective bins.

Explanation / Answer

A - Rectangular

B - Rectangular

C - Triangular

D - Triangular

E - Trapezoidal

F - Trapezoidal

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