Analyze the trusses shown using either graphic or analytical methods. Find the magnitude of the force in each of the truss members. Identify which members are in tension and which members are in compression. 40 k 40 k 45° 45° |40 k 12' 12' SUPPORT %3D REACTION 12' 12' 12' 12' .9
Analyze the trusses shown using either graphic or analytical methods. Find the magnitude of the force in each of the truss members. Identify which members are in tension and which members are in compression. 40 k 40 k 45° 45° |40 k 12' 12' SUPPORT %3D REACTION 12' 12' 12' 12' .9
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The task involves analyzing three different truss structures using either graphical or analytical methods. The objective is to determine the force magnitude in each truss member and identify which members are in tension and which are in compression.
### Diagram Analysis:
1. **Truss Configuration 1:**
- Shape: Equilateral triangle.
- Dimensions: Each side measures 12 feet.
- Load: A downward force of 40 kips (k).
- Angle: The interior angle at the base is 45 degrees.
- Support: Two upward support reactions at the base corners.
2. **Truss Configuration 2:**
- Shape: Right triangle with additional horizontal member.
- Dimensions: Two base sides each measure 12 feet.
- Load: A downward force of 40 kips (k).
- Angle: The triangle includes a 45-degree angle.
- Support: Upward support reaction at the rightmost corner.
3. **Truss Configuration 3:**
- Shape: Symmetrical trapezoid with a peak.
- Dimensions: The lower horizontal base measures 24 feet, with midpoint separation.
- Load: A downward force of 40 kips (k).
- Vertical Height: 12 feet, with an additional midpoint height of 6 feet.
- Support: Upward support reactions at the two lower corners.
### Additional Information:
- Each diagram includes arrows indicating support reactions, represented as upward forces.
- The load is applied at the top center of each structure.
- The objective is to compute the forces in each member and categorize them based on tension or compression.
### Instructions:
Using the provided graphic representation or by applying analytical methods, calculate the force magnitudes and identify tension/compression states in each truss member.
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