Force F acts at polnt C on the bent plpe OABC. 50° 5.60 ft 3.20 ft 40° F= (-4.6i - aj + 4.5k) kips 3.20 ft Determine the magnitudes of the moments of Fabout the following locations in ft - kips. (AB Is parallel to the x-axis.) (a) plpe segment AB ft · kips (b) plpe segment OA ft· kips (c) line OD ft· kips
Force F acts at polnt C on the bent plpe OABC. 50° 5.60 ft 3.20 ft 40° F= (-4.6i - aj + 4.5k) kips 3.20 ft Determine the magnitudes of the moments of Fabout the following locations in ft - kips. (AB Is parallel to the x-axis.) (a) plpe segment AB ft · kips (b) plpe segment OA ft· kips (c) line OD ft· kips
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cc63ad6-d2c1-4136-9e4a-bd4622b7eba2%2F12ad4fe5-634b-4782-8c66-918f62c61e54%2Fwml8xlq_processed.png&w=3840&q=75)
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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