Determine the force in members EH and FH of the truss shown when P = 17 kN. 5 m 3 m✦3 m3 m✦3 m▷| P P P P C A B The force in EH is The force in FH is D F E KN. (Click to select) KN. (Click to select) (Click to select) G H OI
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.
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![### Problem Description
**Objective:**
Determine the force in members \( EH \) and \( FH \) of the truss when \( P = 17 \, \text{kN} \).
**Truss Details:**
- The truss is supported vertically at points \( A \) and \( B \).
- It is comprised of horizontal and diagonal members.
- There are four equal segments along the top, each measuring 3 meters between points \( A-C \), \( C-E \), \( E-G \), and \( G-I \).
- The vertical height from \( A \) to \( B \) is 5 meters.
- A uniform load \( P = 17 \, \text{kN} \) acts downward at points \( C \), \( E \), \( G \), and \( I \).
### Analysis:
**Members Under Investigation:**
- \( EH \)
- \( FH \)
**Inputs:**
- Load \( P \) is given as \( 17 \, \text{kN} \).
**Required Outputs:**
- The magnitude of the force in members \( EH \) and \( FH \).
- Whether each member is in tension or compression.
**Interactive Components:**
- Selection options for the nature of force in members (Tension or Compression) are included.
- Fields to input the force (in kN) for members \( EH \) and \( FH \).
### Diagram Explanation
The truss diagram illustrates a series of interconnected triangles and quadrilaterals forming a structure with supports at \( A \) and \( B \). The truss is horizontally symmetrical, subject to vertical forces \( P \) at specified nodes. The task is to determine how these forces affect specific members (\( EH \) and \( FH \)), providing insights into engineering principles such as tension and compression in truss structures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51e7283f-1187-4641-a7dd-756ddc41b628%2Fb6da56a3-9849-4628-8875-30a9b14a355d%2Ftc3xc8h_processed.png&w=3840&q=75)
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