We want to construct the truss structure shown in Fig. 2. The structure has been designed to carry a vertical downward force of 5 kip applied at joint 3. Figure 2 4 ft 6 ft E = 29000 ksi (for all members) A = 10in? (for all members) %3D 10 ft 3 5 kip Figure 2 a) Calculate the vertical displacement of joint 3 b) b) The construction of the truss has already begun, and the members 1-3 and 2-3 have already been fabricated in the shop and shipped at the construction site. You are relaxing at home, when suddenly you get a call (at 11pm) from the owner of the structure and are informed that they want the vertical displacement of joint 3 to be zero. Given the fact that the remaining member, 1-2, is going to be fabricated the next morning, can you imagine a way to satisfy the owner without having to design and fabricate a different truss structure from scratch?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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We want to construct the truss structure shown in Fig. 2. The structure has been designed to carry a vertical downward force of 5 kip applied at joint 3.

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**Figure 2 Description:**

- A triangular truss structure with:
  - Joint 1 connected to Joint 2 at the top, placed horizontally 10 ft apart, with supports at both ends.
  - A midpoint titled Joint 3 forms a triangle, located directly beneath Joint 1 and Joint 2.
  - Vertical dimensions and details:
    - Distance between Joint 1 and Joint 3: 10 ft
    - Additional horizontal divisions: 4 ft from Joint 1 to a midpoint, and 6 ft from this midpoint to Joint 2.
  - A vertical force of 5 kip is applied downwards at Joint 3.
- Material properties for all members:
  - Elastic modulus (E): 29000 ksi
  - Cross-sectional area (A): 10 in²

---

**Tasks:**

a) Calculate the vertical displacement of joint 3.

b) The construction of the truss has already begun, and the members 1-3 and 2-3 have been fabricated and shipped to the construction site. You receive a call at 11 pm from the owner who wants the vertical displacement of joint 3 to be zero. Considering that member 1-2 is to be fabricated the next day, propose a solution to satisfy the owner without redesigning and fabricating a new truss structure.
Transcribed Image Text:We want to construct the truss structure shown in Fig. 2. The structure has been designed to carry a vertical downward force of 5 kip applied at joint 3. --- **Figure 2 Description:** - A triangular truss structure with: - Joint 1 connected to Joint 2 at the top, placed horizontally 10 ft apart, with supports at both ends. - A midpoint titled Joint 3 forms a triangle, located directly beneath Joint 1 and Joint 2. - Vertical dimensions and details: - Distance between Joint 1 and Joint 3: 10 ft - Additional horizontal divisions: 4 ft from Joint 1 to a midpoint, and 6 ft from this midpoint to Joint 2. - A vertical force of 5 kip is applied downwards at Joint 3. - Material properties for all members: - Elastic modulus (E): 29000 ksi - Cross-sectional area (A): 10 in² --- **Tasks:** a) Calculate the vertical displacement of joint 3. b) The construction of the truss has already begun, and the members 1-3 and 2-3 have been fabricated and shipped to the construction site. You receive a call at 11 pm from the owner who wants the vertical displacement of joint 3 to be zero. Considering that member 1-2 is to be fabricated the next day, propose a solution to satisfy the owner without redesigning and fabricating a new truss structure.
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