200 lb/ft 50 lb/ft" 6 ft- -50 lb/ft E 6 ft B 8 ft C 8 ft 8 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
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.
![**Diagram Explanation: Structural Analysis**
This diagram represents a structural analysis model of a truss subjected to a combined distributed and point load.
- **Distributed Load:**
A triangular distributed load is applied to the left side of the structure. This load starts at 0 lb/ft at point B and increases linearly to 200 lb/ft at point A over a distance of 8 feet. Additionally, there is a uniform distributed load of 50 lb/ft applied over a horizontal beam section from point B to point E, which spans 6 feet.
- **Point Load:**
A concentrated point load (Q) is applied at point Q on the structure.
- **Structural Dimensions:**
The height of the frame is divided into three equal sections of 8 feet each, making the total height from point A to points D and G 24 feet.
- From point A to B: 8 feet
- From point B to C: 8 feet
- From point C to points D and G: 8 feet
- **Base Width:**
The base of the structure spans horizontally 6 feet, with points G and D being 6 feet apart from each other.
- **Support Points:**
The structure has supports at points G and D. These supports are generally the locations where reactions occur and are crucial in equilibrium equations for analyzing the truss.
**Force Analysis:**
- At point A, a vertical point load of 50 lb/ft is applied downwards.
- The triangular distributed load's base is at A, transferring varying intensities of load to member BE and points A and B.
- Point Q, located at the midpoint between the top and bottom sections, indicates the point of application for the external load.
**Structural Members:**
- The truss consists of several members forming triangles (the fundamental shape in truss structures for ensuring stability) between points A, B, C, D, E, and G.
- From points D to E, C to Q, and B to A, there are diagonal and vertical members suggesting a pattern to distribute and transfer applied loads to the supports.
This diagram is essential for understanding how forces are distributed in a typical truss structure, helpful in the study of statics and structural engineering design.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd445199f-ac5b-4b62-b04f-d649867f4a7f%2F7ed2b446-5826-481a-bca2-13e5325c1081%2Fw2ph33_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Diagram Explanation: Structural Analysis**
This diagram represents a structural analysis model of a truss subjected to a combined distributed and point load.
- **Distributed Load:**
A triangular distributed load is applied to the left side of the structure. This load starts at 0 lb/ft at point B and increases linearly to 200 lb/ft at point A over a distance of 8 feet. Additionally, there is a uniform distributed load of 50 lb/ft applied over a horizontal beam section from point B to point E, which spans 6 feet.
- **Point Load:**
A concentrated point load (Q) is applied at point Q on the structure.
- **Structural Dimensions:**
The height of the frame is divided into three equal sections of 8 feet each, making the total height from point A to points D and G 24 feet.
- From point A to B: 8 feet
- From point B to C: 8 feet
- From point C to points D and G: 8 feet
- **Base Width:**
The base of the structure spans horizontally 6 feet, with points G and D being 6 feet apart from each other.
- **Support Points:**
The structure has supports at points G and D. These supports are generally the locations where reactions occur and are crucial in equilibrium equations for analyzing the truss.
**Force Analysis:**
- At point A, a vertical point load of 50 lb/ft is applied downwards.
- The triangular distributed load's base is at A, transferring varying intensities of load to member BE and points A and B.
- Point Q, located at the midpoint between the top and bottom sections, indicates the point of application for the external load.
**Structural Members:**
- The truss consists of several members forming triangles (the fundamental shape in truss structures for ensuring stability) between points A, B, C, D, E, and G.
- From points D to E, C to Q, and B to A, there are diagonal and vertical members suggesting a pattern to distribute and transfer applied loads to the supports.
This diagram is essential for understanding how forces are distributed in a typical truss structure, helpful in the study of statics and structural engineering design.
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