Summary: Frames and Machines Figure 2 shows and assembly that is pinned at points A, B and D. (a) Is this assembly collapsible or non-collapsible? (b) Draw Free Body Diagrams (FBDS) for members ABC and BD

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Solve for a and b
### Summary: Frames and Machines

**Figure Description:**
The diagram (Figure 2) depicts an assembly with pinned connections at points A, B, and D. A 1000 lb weight hangs from point C, which is 6 feet horizontally from point B. The assembly features the following dimensions:

- Horizontal distance from D to A: 3 feet
- Vertical distance from A to B: 4 feet
- Horizontal distance from B to C: 6 feet

**Tasks:**

(a) Determine if this assembly is **collapsible** or **non-collapsible.**

(b) Draw **Free Body Diagrams (FBDs)** for members ABC and BD.

(c) Identify any **two-force members** by writing "2F/M" next to the FBD.

(d) Solve for the **horizontal and vertical components** at pin support A.

**Diagram Explanation:**
The structure consists of a horizontal beam AC supported by a diagonal member BD. Points A and B are support points with A being on the base and B connected to the diagonal. The triangle formed helps stabilize the load, creating a classic truss problem.
Transcribed Image Text:### Summary: Frames and Machines **Figure Description:** The diagram (Figure 2) depicts an assembly with pinned connections at points A, B, and D. A 1000 lb weight hangs from point C, which is 6 feet horizontally from point B. The assembly features the following dimensions: - Horizontal distance from D to A: 3 feet - Vertical distance from A to B: 4 feet - Horizontal distance from B to C: 6 feet **Tasks:** (a) Determine if this assembly is **collapsible** or **non-collapsible.** (b) Draw **Free Body Diagrams (FBDs)** for members ABC and BD. (c) Identify any **two-force members** by writing "2F/M" next to the FBD. (d) Solve for the **horizontal and vertical components** at pin support A. **Diagram Explanation:** The structure consists of a horizontal beam AC supported by a diagonal member BD. Points A and B are support points with A being on the base and B connected to the diagonal. The triangle formed helps stabilize the load, creating a classic truss problem.
Expert Solution
collapsible and non-collapsible

Collapsible

A Collapsible structure is one that is not a rigid unit by itself but depends on its external supports for rigidity

Non-collapsible

A non-collapsible structure is one that constitutes a rigid unit by itself when removed from its supports

a)As seen from the figure given the structure is not a rigid unit by itself but depends on its external support for rigidity, hence the structure is Collapsible

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