Determine the force in members LK, KC, and CD of the Pratt truss. State if the members are in tension or compression. Take that P₁ = 19 kN, P2 = 31 kN and P3 = 42 kN .(Figure 1) Figure 3'm AND C B P₁ E P2 P3 1 of 1 F -2 m2 m2 m2 m2 m-|-2 m-| G

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Problem Statement:**

Determine the force in members \( LK \), \( KC \), and \( CD \) of the Pratt truss. State if the members are in tension or compression. Take that \( P_1 = 19 \) kN, \( P_2 = 31 \) kN, and \( P_3 = 42 \) kN. (Figure 1)

**Diagram Description:**

The diagram shows a Pratt truss structure. It consists of a series of connected triangles supported by a horizontal beam. The truss has the following key features:

- The truss is supported at two points: point \( A \) on the left and point \( G \) on the right.
- The height of the truss is 3 meters.
- The horizontal beam is divided into equal segments of 2 meters between joints \( L \), \( K \), \( J \), \( I \), \( H \), and \( G \).
- The forces \( P_1 \), \( P_2 \), and \( P_3 \) are applied downward at joints \( B \), \( C \), and \( D \) respectively.
- The angle \( \phi \) at member \( KC \) indicates the inclination of the diagonal member connecting joint \( K \) to joint \( C \).

**Truss Members:**

- Members include verticals and diagonals such as \( LK \), \( KC \), and \( CD \).
- The objective is to calculate the forces in these specified members and determine if they are under tension or compression.
Transcribed Image Text:**Problem Statement:** Determine the force in members \( LK \), \( KC \), and \( CD \) of the Pratt truss. State if the members are in tension or compression. Take that \( P_1 = 19 \) kN, \( P_2 = 31 \) kN, and \( P_3 = 42 \) kN. (Figure 1) **Diagram Description:** The diagram shows a Pratt truss structure. It consists of a series of connected triangles supported by a horizontal beam. The truss has the following key features: - The truss is supported at two points: point \( A \) on the left and point \( G \) on the right. - The height of the truss is 3 meters. - The horizontal beam is divided into equal segments of 2 meters between joints \( L \), \( K \), \( J \), \( I \), \( H \), and \( G \). - The forces \( P_1 \), \( P_2 \), and \( P_3 \) are applied downward at joints \( B \), \( C \), and \( D \) respectively. - The angle \( \phi \) at member \( KC \) indicates the inclination of the diagonal member connecting joint \( K \) to joint \( C \). **Truss Members:** - Members include verticals and diagonals such as \( LK \), \( KC \), and \( CD \). - The objective is to calculate the forces in these specified members and determine if they are under tension or compression.
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