Y F1=200# Problem # 3 25" The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 results required). B 40" F2=500# 12" F3=400#

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem #3**

The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 results required).

**Diagram Explanation:**

The diagram depicts a bent pipe structure fixed at point A and subject to three forces: F1, F2, and F3. These forces act at different points along the pipe, influencing its stability.

- **Pipe Structure:**
  - The pipe extends vertically from point A to point B, a height of 40 inches.
  - From point B, the pipe bends and extends horizontally to point C, a distance of 25 inches.
  - At point C, the pipe bends again and points downward to point D, a length of 12 inches.

- **Forces Applied:**
  - **F1 = 200#** (pounds): Acts horizontally along the negative X-axis at point B.
  - **F2 = 500#** (pounds): Acts horizontally along the positive X-axis at point C.
  - **F3 = 400#** (pounds): Acts vertically downward at point D.

- **Coordinate Axes:**
  - The diagram is aligned with a three-dimensional coordinate system:
    - X-axis: horizontal direction along the base.
    - Y-axis: vertical direction extending upwards.
    - Z-axis: horizontal direction perpendicular to X-axis and Y-axis (into the plane).

The task is to compute the moment created by these forces around each coordinate axis, requiring calculations for overall nine moments.
Transcribed Image Text:**Problem #3** The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 results required). **Diagram Explanation:** The diagram depicts a bent pipe structure fixed at point A and subject to three forces: F1, F2, and F3. These forces act at different points along the pipe, influencing its stability. - **Pipe Structure:** - The pipe extends vertically from point A to point B, a height of 40 inches. - From point B, the pipe bends and extends horizontally to point C, a distance of 25 inches. - At point C, the pipe bends again and points downward to point D, a length of 12 inches. - **Forces Applied:** - **F1 = 200#** (pounds): Acts horizontally along the negative X-axis at point B. - **F2 = 500#** (pounds): Acts horizontally along the positive X-axis at point C. - **F3 = 400#** (pounds): Acts vertically downward at point D. - **Coordinate Axes:** - The diagram is aligned with a three-dimensional coordinate system: - X-axis: horizontal direction along the base. - Y-axis: vertical direction extending upwards. - Z-axis: horizontal direction perpendicular to X-axis and Y-axis (into the plane). The task is to compute the moment created by these forces around each coordinate axis, requiring calculations for overall nine moments.
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