Explanation Given: The pressure acting at the center of the chimney is p 0 . The angle is θ . The radius is r . Draw the top view of the chimney as shown in Figure (1). Use Figure (1), Resolve the resultant force in x direction. F R x = 2 l ( p 0 cos θ ) cos θ r d θ (I) Integrate F R x and use the limits from − π 2 to π 2 in Equation (I). F R x = ∫ − π 2 π 2 2 l ( p 0 cos θ ) cos θ r d θ (II) Resolve the resultant force in y direction. F R y = 2 l ( p 0 cos θ ) sin θ r d θ (III) Integrate F R y and use the limits from − π 2 to π 2 in Equation (III). F R y = ∫ − π 2 π 2 2 l ( p 0 cos θ ) sin θ r d θ (IV) Determine the magnitude of the resultant force. F R = F R x 2 + F R y 2 (V) Conclusion: Evaluate by integrating Equation (II)

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ISBN: 9780137514724

Author: HIBBELER

Publisher: PEARSON

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Chapter 9, Problem 119P

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The magnitude (FR) of the resultant force created by the wind.

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Chapter 9, Problem 118P

Chapter 9, Problem 120P

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The magnitude ( F R ) of the resultant force created by the wind.

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The magnitude (FR) of the resultant force created by the wind.

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