The nodes of the following three-member truss have x-y coordinates (in feet) of A-[0,0], B-[20,2], and C-[10,10]. If the applied forces at the nodes are FB-1000 lbs and FC-1000 lbs in the directions shown, determine all the reactions and the member forces.
The nodes of the following three-member truss have x-y coordinates (in feet) of A-[0,0], B-[20,2], and C-[10,10]. If the applied forces at the nodes are FB-1000 lbs and FC-1000 lbs in the directions shown, determine all the reactions and the member forces.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The nodes of the following three-member truss have x-y coordinates (in feet) of A = [0,0], B = [20,2], and C = [10,10]. If the applied forces at the nodes are \( F_B = 1000 \, \text{lbs} \) and \( F_C = 1000 \, \text{lbs} \) in the directions shown, determine all the reactions and the member forces.
### Diagram Description:
This is a diagram of a three-member truss with nodes labeled A, B, and C.
- **Node A** is positioned at the origin of the coordinate system, [0,0].
- **Node B** is located at [20,2] and is experiencing a horizontal force \( F_B = 1000 \, \text{lbs} \) pointing to the right.
- **Node C** is located at [10,10] with a vertical force \( F_C = 1000 \, \text{lbs} \) pointing downward.
**Support Conditions:**
- Node A is a fixed support (represented by a triangle), preventing any movement.
- Node B is a roller support, allowing horizontal movement while restricting vertical movement.
This truss should be analyzed to calculate the reactions at the supports and internal forces in each member.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44c88ed5-12d2-481c-bda1-01159eb6b70d%2F83da3f99-5c6f-441b-82cb-968eae404eb2%2Ffhuy91n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The nodes of the following three-member truss have x-y coordinates (in feet) of A = [0,0], B = [20,2], and C = [10,10]. If the applied forces at the nodes are \( F_B = 1000 \, \text{lbs} \) and \( F_C = 1000 \, \text{lbs} \) in the directions shown, determine all the reactions and the member forces.
### Diagram Description:
This is a diagram of a three-member truss with nodes labeled A, B, and C.
- **Node A** is positioned at the origin of the coordinate system, [0,0].
- **Node B** is located at [20,2] and is experiencing a horizontal force \( F_B = 1000 \, \text{lbs} \) pointing to the right.
- **Node C** is located at [10,10] with a vertical force \( F_C = 1000 \, \text{lbs} \) pointing downward.
**Support Conditions:**
- Node A is a fixed support (represented by a triangle), preventing any movement.
- Node B is a roller support, allowing horizontal movement while restricting vertical movement.
This truss should be analyzed to calculate the reactions at the supports and internal forces in each member.
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