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
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F253acbf5-5155-4c45-b2be-9cb09b5052c9%2Fa5f05831-fb98-4951-8500-accd91c6d476%2Fpspatj_processed.jpeg&w=3840&q=75)
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