Solved: The distributed load acts on the shaft as shown.

Chapter 4, Problem 4-159

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QUESTION:

The distributed load acts on the shaft as shown. Determine the magnitude of the equivalent resultant force and specify its location, measured from the support, A.

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QUESTION:

The distributed load acts on the shaft as shown. Determine the magnitude of the equivalent resultant force and specify its location, measured from the support, A.

ANSWER:

Step 1 of 4

First note that the point A is at , if you calculate  you will get  which is the value of W at A.The force will be equal to the area under the force distribution curve w. We can calculate it by dividing that area into many small rectangles, as show in the picture below, and summing them up. In limit  that means integration.

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