Question #3: Solve the truss shown in the figure below (find the forces in all members as well as support reactions). A 45° C 10 ft 10 ft 1 kip E D 1 kip 45° 10 ft PROSINE
Question #3: Solve the truss shown in the figure below (find the forces in all members as well as support reactions). A 45° C 10 ft 10 ft 1 kip E D 1 kip 45° 10 ft PROSINE
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Question #3:** Solve the truss shown in the figure below (find the forces in all members as well as support reactions).
![Truss Diagram]
The diagram shows a truss structure with the following configurations:
- The truss includes six key points: A, B, C, D, E, and F.
- Point A is at the left end and is connected to point B and C.
- Points B and C are at a vertical distance of 10 ft from A.
- Point B connects to E and D via members.
- Point C is connected via members, forming a triangle with points B and E.
- Points D and E are connected by members, forming another triangle.
- Point F is at the right end and is connected to point D and E horizontally.
- An external force of 1 kip acts downward at points C and E.
- Member AB forms a 45-degree angle with the horizontal line at point A.
- Member DF forms a 45-degree angle with the horizontal line at point F.
- Each horizontal segment, both at the base of the truss and along the top between points B, D, and E, measures 10 ft.
All supports are illustrated:
- Support at A appears to be a pinned support, capable of resisting both horizontal and vertical forces.
- Support at F appears to be a roller support, capable of resisting only vertical forces.
To solve the truss, apply equilibrium equations to find the forces in each member as well as the reaction forces at the supports A and F.
Key steps:
1. Calculate reaction forces by applying equilibrium conditions (ΣFx = 0, ΣFy = 0, ΣMoments = 0).
2. Use methods such as the method of joints or the method of sections to find forces in each member.
This structure requires a systematic approach to solve the statics problem effectively, addressing all elements in the drawing provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd445199f-ac5b-4b62-b04f-d649867f4a7f%2F27b51f17-8ff0-4711-b4a6-245afc88403d%2F79g6wb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question #3:** Solve the truss shown in the figure below (find the forces in all members as well as support reactions).
![Truss Diagram]
The diagram shows a truss structure with the following configurations:
- The truss includes six key points: A, B, C, D, E, and F.
- Point A is at the left end and is connected to point B and C.
- Points B and C are at a vertical distance of 10 ft from A.
- Point B connects to E and D via members.
- Point C is connected via members, forming a triangle with points B and E.
- Points D and E are connected by members, forming another triangle.
- Point F is at the right end and is connected to point D and E horizontally.
- An external force of 1 kip acts downward at points C and E.
- Member AB forms a 45-degree angle with the horizontal line at point A.
- Member DF forms a 45-degree angle with the horizontal line at point F.
- Each horizontal segment, both at the base of the truss and along the top between points B, D, and E, measures 10 ft.
All supports are illustrated:
- Support at A appears to be a pinned support, capable of resisting both horizontal and vertical forces.
- Support at F appears to be a roller support, capable of resisting only vertical forces.
To solve the truss, apply equilibrium equations to find the forces in each member as well as the reaction forces at the supports A and F.
Key steps:
1. Calculate reaction forces by applying equilibrium conditions (ΣFx = 0, ΣFy = 0, ΣMoments = 0).
2. Use methods such as the method of joints or the method of sections to find forces in each member.
This structure requires a systematic approach to solve the statics problem effectively, addressing all elements in the drawing provided.
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