Use the picture to solve these questions 1-The magnitude of the moment induce by the load about the Line-EF is _____ kN*mm. 2- The direction of the moment induce by the load about the Line-EF is _____ kN*mm. 3- The direction of the moment induce by the load about the Line-CD is _____ kN*mm. 4- The state of the internal force at the mid-point of Member-BD _____ . Enter "1" for "tension". Enter "2" for "compression" Enter "3" for "torsion" Enter "4" for "neither tension, nor compression, nor torsion 5-  The state of the internal force at the mid-point of Member-BF _____ . Enter "1" for "tension". Enter "2" for "compression" Enter "3" for "torsion" Enter "4" for "neither tension, nor compression, nor torsion

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Use the picture to solve these questions

1-The magnitude of the moment induce by the load about the Line-EF is _____ kN*mm.

2-

The direction of the moment induce by the load about the Line-EF is _____ kN*mm.

3-

The direction of the moment induce by the load about the Line-CD is _____ kN*mm.

4-

The state of the internal force at the mid-point of Member-BD _____ .

Enter "1" for "tension".

Enter "2" for "compression"

Enter "3" for "torsion"

Enter "4" for "neither tension, nor compression, nor torsion

5- 

The state of the internal force at the mid-point of Member-BF _____ .

Enter "1" for "tension".

Enter "2" for "compression"

Enter "3" for "torsion"

Enter "4" for "neither tension, nor compression, nor torsion

### Engineering Statics: Truss Analysis Problem 4/71

**Problem Statement:**
The pyramidal truss section BCDEF is symmetric about the vertical x-z plane as shown. Cables AE, AF, and AB support a 5-kN load. Determine the force in member BE.

**Explanation of Diagram:**
- The truss is a three-dimensional structure with various members connected to support external loads.
- The truss is symmetric around a vertical plane.
- Key points are labeled A, B, C, D, E, and F.
- Key measurements include:
  - Distance from D to the base of the truss along the z-axis = 300 mm.
  - Height of the truss from E to the top along the z-axis = 360 mm.
  - Horizontal span between C, D, and E = 300 mm, 360 mm.
  - Vertical distance of the entire structure from the base at E to F is given as 440 mm.
- A 5-kN load acts downward at point A.
- Members AE, AF, and AB are specifically mentioned as supporting this load.

**Steps to Determine the Force in Member BE:**
1. **Identify the Geometry and Constrains:**
   - Understand the symmetry of the truss and how this simplifies calculations.
   - Extract the coordinates of points A, B, C, D, E, and F based on the given dimensions.

2. **Free Body Diagram:**
   - Draw the free body diagram of the junctions of members involved to isolate the forces at play.
   - Apply equilibrium equations to solve for unknown forces (i.e., using ΣFx = 0, ΣFy = 0, ΣFz = 0).

3. **Vector Decomposition:**
   - Decompose forces into their vector components along the x, y, and z axes.
   - Account for both tensile and compressive forces within the members.

4. **Calculations:**
   - Use trigonometric relationships and equilibrium conditions to determine the force in member BE.
   - Consider using matrix methods or software tools for solving complex systems of linear equations if necessary.

5. **Result Interpretation:**
   - Interpret whether the force in member BE is tensile or compressive based on the sign of the result.

By following these steps, you will be able to determine the force in the specific member BE of the pyramidal truss subjected to a
Transcribed Image Text:### Engineering Statics: Truss Analysis Problem 4/71 **Problem Statement:** The pyramidal truss section BCDEF is symmetric about the vertical x-z plane as shown. Cables AE, AF, and AB support a 5-kN load. Determine the force in member BE. **Explanation of Diagram:** - The truss is a three-dimensional structure with various members connected to support external loads. - The truss is symmetric around a vertical plane. - Key points are labeled A, B, C, D, E, and F. - Key measurements include: - Distance from D to the base of the truss along the z-axis = 300 mm. - Height of the truss from E to the top along the z-axis = 360 mm. - Horizontal span between C, D, and E = 300 mm, 360 mm. - Vertical distance of the entire structure from the base at E to F is given as 440 mm. - A 5-kN load acts downward at point A. - Members AE, AF, and AB are specifically mentioned as supporting this load. **Steps to Determine the Force in Member BE:** 1. **Identify the Geometry and Constrains:** - Understand the symmetry of the truss and how this simplifies calculations. - Extract the coordinates of points A, B, C, D, E, and F based on the given dimensions. 2. **Free Body Diagram:** - Draw the free body diagram of the junctions of members involved to isolate the forces at play. - Apply equilibrium equations to solve for unknown forces (i.e., using ΣFx = 0, ΣFy = 0, ΣFz = 0). 3. **Vector Decomposition:** - Decompose forces into their vector components along the x, y, and z axes. - Account for both tensile and compressive forces within the members. 4. **Calculations:** - Use trigonometric relationships and equilibrium conditions to determine the force in member BE. - Consider using matrix methods or software tools for solving complex systems of linear equations if necessary. 5. **Result Interpretation:** - Interpret whether the force in member BE is tensile or compressive based on the sign of the result. By following these steps, you will be able to determine the force in the specific member BE of the pyramidal truss subjected to a
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