etermine the tension in cable BC to support the steel frame if force F = 55 kN. Supply the answer in kN.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Text Transcription:**

Determine the tension in cable BC to support the steel frame if force F = 55 kN. Supply the answer in kN.

**Diagram Explanation:**

The diagram presents a steel frame structure supported by a cable and subjected to various forces. Here's a detailed explanation of the components and forces involved:

1. **Steel Frame:**
   - The frame is in a vertical L-shape, with a horizontal beam connected perpendicularly to a vertical column anchored at point A.

2. **Points:**
   - **Point A:** Base of the vertical column where it is fixed to the ground.
   - **Point B:** Connection between the horizontal and vertical beams.
   - **Point C:** Anchor point on the ground, where cable BC is attached.

3. **Dimensions:**
   - The horizontal top beam is 3 meters in length, divided into three 1 meter sections from point A to the force application at point F.
   - The vertical column is 3 meters in height.

4. **Cable BC:**
   - Cable BC runs from point B to point C, forming a right-angle triangle with the ground. 
   - The triangle’s side ratio is given as 3-4-5, indicating a 3-meter height, a 4-meter base, and a 5-meter hypotenuse (cable length).

5. **Forces:**
   - **Force F:** A downward force of 55 kN is applied at the midpoint of the horizontal beam, 1 meter from point B.
   - **Moment:** A clockwise moment of 30 kN·m is indicated at the junction of beams B and A.

The task involves calculating the tension in cable BC, necessary to maintain equilibrium of the frame under the specified forces.
Transcribed Image Text:**Text Transcription:** Determine the tension in cable BC to support the steel frame if force F = 55 kN. Supply the answer in kN. **Diagram Explanation:** The diagram presents a steel frame structure supported by a cable and subjected to various forces. Here's a detailed explanation of the components and forces involved: 1. **Steel Frame:** - The frame is in a vertical L-shape, with a horizontal beam connected perpendicularly to a vertical column anchored at point A. 2. **Points:** - **Point A:** Base of the vertical column where it is fixed to the ground. - **Point B:** Connection between the horizontal and vertical beams. - **Point C:** Anchor point on the ground, where cable BC is attached. 3. **Dimensions:** - The horizontal top beam is 3 meters in length, divided into three 1 meter sections from point A to the force application at point F. - The vertical column is 3 meters in height. 4. **Cable BC:** - Cable BC runs from point B to point C, forming a right-angle triangle with the ground. - The triangle’s side ratio is given as 3-4-5, indicating a 3-meter height, a 4-meter base, and a 5-meter hypotenuse (cable length). 5. **Forces:** - **Force F:** A downward force of 55 kN is applied at the midpoint of the horizontal beam, 1 meter from point B. - **Moment:** A clockwise moment of 30 kN·m is indicated at the junction of beams B and A. The task involves calculating the tension in cable BC, necessary to maintain equilibrium of the frame under the specified forces.
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