n the truss below, members AE and EQ are pinned together at point E to form a billboard (see in cross-section in the figure). It is subjected to the distributed wind load shown in the figure. Find the forces in each of the two-force members. All of the connections are pin connections. As you work this problem, please remember the definition of two-force member since some of the members in the structure may not be two-force members and should, therefore, not be analyzed as such. The figure is rotated, but you can assume that the upright members of the structure are perpendicular to the ground.
n the truss below, members AE and EQ are pinned together at point E to form a billboard (see in cross-section in the figure). It is subjected to the distributed wind load shown in the figure. Find the forces in each of the two-force members. All of the connections are pin connections. As you work this problem, please remember the definition of two-force member since some of the members in the structure may not be two-force members and should, therefore, not be analyzed as such. The figure is rotated, but you can assume that the upright members of the structure are perpendicular to the ground.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
In the truss below, members AE and EQ are pinned together at point E to form a billboard (see in cross-section in the figure). It is subjected to the distributed wind load shown in the figure. Find the forces in each of the two-force members. All of the connections are pin connections. As you work this problem, please remember the definition of two-force member since some of the members in the structure may not be two-force members and should, therefore, not be analyzed as such. The figure is rotated, but you can assume that the upright members of the structure are perpendicular to the ground.
Transcribed Image Text:### Structural and Load Analysis Diagram
This diagram illustrates a structural frame subjected to various loads and support conditions. Here's a detailed breakdown:
1. **Loads**:
- There is a distributed load of 200 lb/ft acting horizontally to the left on the upper section of the structure.
- A vertical load of 50 lb/ft is applied at point A, extending downwards.
- Another horizontal distributed load of 50 lb/ft acts to the left on a triangularly distributed shape anchored at point E and spanning a height of 8 ft to the left of the structure.
2. **Points and Dimensions**:
- **Point A**: Located at the topmost part of the structure, where the vertical load begins.
- **Point E**: Situated 8 ft below point A.
- **Point Q**: Located 6 ft horizontally to the right from point E.
- **Point B**: Located 8 ft below point E.
- **Point C**: Located 6 ft horizontally to the left from point Q.
- **Points D and G**: Serve as the base supports of the structure, positioned 6 ft apart horizontally. Point D is aligned directly below Point C, and Point G is directly below Point A.
3. **Lengths and Supports**:
- The vertical distances between A to E, E to B, and A to Q are each 8 ft.
- The horizontal distance between E to Q is 6 ft.
- The structure is supported by two points at the base: point D on the right and point G on the left, each 6 ft apart.
4. **Structural Shape**:
- The main structure appears to be trapezoidal with additional triangular supports.
- The structural frame includes members positioned diagonally, horizontally, and vertically to support the loads.
This diagram can be useful for analyzing the stability and strength of the structure under the given loading conditions. It provides a clear visual representation of how different forces are distributed across the frame, allowing for easier calculation of moments, shear forces, and deflections.
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