P8.5. For the truss in Figure P8.5, compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.², and members AE, ED, BE, and CE have area = 0.25 in.2, and E= 10,000 ksi.

Structural Analysis
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Chapter2: Loads On Structures
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**P8.5.** For the truss in [Figure P8.5](#), compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.², and members AE, ED, BE, and CE have area = 0.25 in.², and E = 10,000 ksi.
Transcribed Image Text:**P8.5.** For the truss in [Figure P8.5](#), compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.², and members AE, ED, BE, and CE have area = 0.25 in.², and E = 10,000 ksi.
The image shows a truss structure labeled with points A, B, C, D, and E. This is a classic truss problem used to study the forces in structural engineering. 

**Details of the Truss:**

- The truss spans horizontally with supports at A (pin support) and D (roller support), which indicates the truss is statically determinate.
- It comprises top chords AB, BC, and CD, all represented as rigid connected members.
- There are two external loads applied to the structure:
  - A horizontal load of 10 kips at joint B directed leftward.
  - A vertical load of 15 kips at joint E directed downward.

**Dimensions:**

- The total horizontal span is divided into three segments:
  - The left segment (A to B) is 6 feet.
  - The middle segments (B to E and E to C) both measure 5 feet.
  - The right segment (C to D) is 6 feet.
- The vertical height from the bottom chord (line connecting A, E, D) to the top chord (BC) is 8 feet.

The truss configuration features triangular patterns typical in civil engineering to efficiently manage different kinds of loads, showcasing principles of structural analysis and design.
Transcribed Image Text:The image shows a truss structure labeled with points A, B, C, D, and E. This is a classic truss problem used to study the forces in structural engineering. **Details of the Truss:** - The truss spans horizontally with supports at A (pin support) and D (roller support), which indicates the truss is statically determinate. - It comprises top chords AB, BC, and CD, all represented as rigid connected members. - There are two external loads applied to the structure: - A horizontal load of 10 kips at joint B directed leftward. - A vertical load of 15 kips at joint E directed downward. **Dimensions:** - The total horizontal span is divided into three segments: - The left segment (A to B) is 6 feet. - The middle segments (B to E and E to C) both measure 5 feet. - The right segment (C to D) is 6 feet. - The vertical height from the bottom chord (line connecting A, E, D) to the top chord (BC) is 8 feet. The truss configuration features triangular patterns typical in civil engineering to efficiently manage different kinds of loads, showcasing principles of structural analysis and design.
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