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Engineering Mechanics: Combined Statics & Dynamics | 12th Edition | ISBN: 9780138149291 | Authors: Russell C. Hibbeler
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The uniform rod is bent into the shape of a parabola and has a weight per unit length of

Chapter 9, Problem 92

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QUESTION:

The uniform rod is bent into the shape of a parabola and has a weight per unit length of . Determine the reactions at the fixed support A.

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QUESTION:

The uniform rod is bent into the shape of a parabola and has a weight per unit length of . Determine the reactions at the fixed support A.

ANSWER:

Problem 92

The uniform rod is bent into the shape of a parabola and has a weight per unit length of 6. Determine the reactions at the fixed support A.

                                                         Step by step solution

Step 1 of 3

The weight per unit length is .

The slope is .

The following is the diagram of bend rod,

The following is the free body diagram of the rod.

The differentiation of x with respect to y is calculated as:

 

In order to determine the reactions at point A, we have to calculate the length of the element from the above figure.

 

For, .

Therefore,

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