Question

Asked Oct 5, 2019

Replace the loading by a single resultant force, specify the location of force measured from point O.

Step 1

Step 2

Divide the whole loading into three sections of loading OA, AB, and BC.

Consider the loading section BC.

Convert this uniform variable loading into a single point load say *F _{BC}*.

The area of the triangle *NBC* is equal to the magnitude of the single point load. Thus,

The position of the single point load of section BC is equal to the 1/3^{rd} from the base. Thus,

From the point O, the position of the point load is

Step 3

Consider the loading section AB.

Convert this uniform variable loading into a single point load say *FAB*.

The area of the triangle *MNBC* is equal to the magnitude of the single point load. Thus,

The position of the single point load for section AB is equal to the 1/2rd from the base. Thus,

From the point O, the position of the point load is 1.875 m.

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