Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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![The image shows a diagram of a bent pipe OABC with force \( \mathbf{F} \) acting at point C. The force \( \mathbf{F} \) is given by the vector \( \mathbf{F} = \langle -4.6 \, \mathbf{i}, -3.3 \, \mathbf{j}, +4.3 \, \mathbf{k} \rangle \) kips. The diagram includes points D, O, A, B, and C with specified dimensions and angles:
- Point O is the origin of the axes.
- Segment OD is at a 50-degree angle from the horizontal, extending 5.60 ft.
- Segment OA is horizontal, extending 3.20 ft.
- Segment OC is vertical, extending 3.20 ft.
- Angles at each segment are marked as 40 degrees and 50 degrees between different segments.
The task is to determine the magnitudes of the moments of \( \mathbf{F} \) about the specified locations in ft · kips. (Segment AB is parallel to the x-axis.)
**Questions:**
(a) Calculate the magnitude of the moment about pipe segment AB:
\[ \underline{\phantom{0000}} \] ft · kips
(b) Calculate the magnitude of the moment about pipe segment OA:
\[ \underline{\phantom{0000}} \] ft · kips
(c) Calculate the magnitude of the moment about line OD:
\[ \underline{\phantom{0000}} \] ft · kips
This exercise involves the application of vector mechanics to determine the moments caused by the force vector about different segments of the pipe system.](https://content.bartleby.com/qna-images/question/4cc63ad6-d2c1-4136-9e4a-bd4622b7eba2/12ad4fe5-634b-4782-8c66-918f62c61e54/wml8xlq_processed.png)
Transcribed Image Text:The image shows a diagram of a bent pipe OABC with force \( \mathbf{F} \) acting at point C. The force \( \mathbf{F} \) is given by the vector \( \mathbf{F} = \langle -4.6 \, \mathbf{i}, -3.3 \, \mathbf{j}, +4.3 \, \mathbf{k} \rangle \) kips. The diagram includes points D, O, A, B, and C with specified dimensions and angles:
- Point O is the origin of the axes.
- Segment OD is at a 50-degree angle from the horizontal, extending 5.60 ft.
- Segment OA is horizontal, extending 3.20 ft.
- Segment OC is vertical, extending 3.20 ft.
- Angles at each segment are marked as 40 degrees and 50 degrees between different segments.
The task is to determine the magnitudes of the moments of \( \mathbf{F} \) about the specified locations in ft · kips. (Segment AB is parallel to the x-axis.)
**Questions:**
(a) Calculate the magnitude of the moment about pipe segment AB:
\[ \underline{\phantom{0000}} \] ft · kips
(b) Calculate the magnitude of the moment about pipe segment OA:
\[ \underline{\phantom{0000}} \] ft · kips
(c) Calculate the magnitude of the moment about line OD:
\[ \underline{\phantom{0000}} \] ft · kips
This exercise involves the application of vector mechanics to determine the moments caused by the force vector about different segments of the pipe system.
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