Flexibility Method: Truss Solve the following problem: Problem 3: Given: The following truss: The area of all bars, A = 5 in.? E = 30,000 ksi. %3D 30 20'- 120 kips - 20' Required: Compute the reactions and all the bar forces for the statically indeterminate truss. Approach:
Flexibility Method: Truss Solve the following problem: Problem 3: Given: The following truss: The area of all bars, A = 5 in.? E = 30,000 ksi. %3D 30 20'- 120 kips - 20' Required: Compute the reactions and all the bar forces for the statically indeterminate truss. Approach:
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Flexibility Method: Truss**
Solve the following problem:
**Problem 3:**
Given: The following truss:
The area of all bars, A = 5 in²
E = 30,000 ksi.
[Diagram Description: The truss is a triangular structure with points labeled A, B, C, D, and E. The base AB is 40 feet long, split into two segments of 20 feet each, with a vertical load of 120 kips at point E (the midpoint of AB). The height from D to C is 30 feet.]
**Required:** Compute the reactions and all the bar forces for the statically indeterminate truss.
**Approach:**
- Select [C₁] as the redundant (assume it positive to the left).
- Summarize the bar forces for Primary 0 directly on a sketch of truss Primary 0. A bar force in tension must be shown as a positive quantity with a (T) next to it; a bar force in compression must be shown as a negative quantity with a (C) next to it. Keep the sign.
- Summarize the bar forces for Primary 1 directly on a sketch of truss Primary 1.
- Summarize final reactions and bar forces directly on a sketch of the final truss.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f65b2c6-5600-49a7-a538-21540f87dcd9%2F9ae20c86-f976-4012-817a-bd4c6f1b5d61%2Fvp9g71c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Flexibility Method: Truss**
Solve the following problem:
**Problem 3:**
Given: The following truss:
The area of all bars, A = 5 in²
E = 30,000 ksi.
[Diagram Description: The truss is a triangular structure with points labeled A, B, C, D, and E. The base AB is 40 feet long, split into two segments of 20 feet each, with a vertical load of 120 kips at point E (the midpoint of AB). The height from D to C is 30 feet.]
**Required:** Compute the reactions and all the bar forces for the statically indeterminate truss.
**Approach:**
- Select [C₁] as the redundant (assume it positive to the left).
- Summarize the bar forces for Primary 0 directly on a sketch of truss Primary 0. A bar force in tension must be shown as a positive quantity with a (T) next to it; a bar force in compression must be shown as a negative quantity with a (C) next to it. Keep the sign.
- Summarize the bar forces for Primary 1 directly on a sketch of truss Primary 1.
- Summarize final reactions and bar forces directly on a sketch of the final truss.
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