Find: The moment about pipe segment AB caused by the force vector F Solution:

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Given:** The figure shown below.

The diagram illustrates a three-dimensional coordinate system with axes labeled x, y, and z. The diagram features three points labeled A, B, and C, connected by a series of pipes. The distances between these points are given as follows:
- From the origin to point A along the x-axis: 3 ft
- From point A to point B along the pipe: 4 ft
- From point B to point C along the pipe: 4 ft
- There is an additional horizontal distance from line AC to the y-axis: 2 ft

Point C is displaced from the x-axis: 4 ft

The force vector \(\mathbf{F}\) is given as:
\[
\mathbf{F} = \{30\mathbf{i} - 45\mathbf{j} + 50\mathbf{k}\} \, \text{lb}
\]

**Find:** The moment about pipe segment \(\overline{AB}\) caused by the force vector \(\mathbf{F}\).

**Solution:** 

*(Solution not provided in the image; it needs to be calculated based on the given information.)*
Transcribed Image Text:**Given:** The figure shown below. The diagram illustrates a three-dimensional coordinate system with axes labeled x, y, and z. The diagram features three points labeled A, B, and C, connected by a series of pipes. The distances between these points are given as follows: - From the origin to point A along the x-axis: 3 ft - From point A to point B along the pipe: 4 ft - From point B to point C along the pipe: 4 ft - There is an additional horizontal distance from line AC to the y-axis: 2 ft Point C is displaced from the x-axis: 4 ft The force vector \(\mathbf{F}\) is given as: \[ \mathbf{F} = \{30\mathbf{i} - 45\mathbf{j} + 50\mathbf{k}\} \, \text{lb} \] **Find:** The moment about pipe segment \(\overline{AB}\) caused by the force vector \(\mathbf{F}\). **Solution:** *(Solution not provided in the image; it needs to be calculated based on the given information.)*
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