4.67 Determine the reactions at B and D when b = .C hp 80 N A D 75 mm 250 mm C 90 mm- B 60 mm.
4.67 Determine the reactions at B and D when b = .C hp 80 N A D 75 mm 250 mm C 90 mm- B 60 mm.
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![The problem is titled "4.67" and asks to "Determine the reactions at B and D when \( b = 60 \, \text{mm} \)."
### Explanation of the Diagram:
The diagram illustrates a mechanical structure consisting of several key components and geometric dimensions:
1. **Components:**
- A horizontal beam extending to the right from point A to point B.
- A vertical section from B upwards to D.
- A semicircular arch from C to D.
2. **Applied Force:**
- A downward force of \( 80 \, \text{N} \) is applied at point A.
3. **Dimensions:**
- Horizontal length from A to C is \( 250 \, \text{mm} \).
- Vertical distance from C to B is marked as \( b \) which is \( 60 \, \text{mm} \).
- Horizontal length from C to D is \( 90 \, \text{mm} \).
- The semicircular section radius from C to D is \( 75 \, \text{mm} \).
4. **Supports:**
- There is a support at point B, and a support at the top right end at point D.
The task is to calculate the support reactions at points B and D given the specified conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e4fcbe0-ed74-4447-b38a-a2af13f9fabc%2F16ff2409-51a1-481f-8367-1053a0820fa8%2Fpjqxsw8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The problem is titled "4.67" and asks to "Determine the reactions at B and D when \( b = 60 \, \text{mm} \)."
### Explanation of the Diagram:
The diagram illustrates a mechanical structure consisting of several key components and geometric dimensions:
1. **Components:**
- A horizontal beam extending to the right from point A to point B.
- A vertical section from B upwards to D.
- A semicircular arch from C to D.
2. **Applied Force:**
- A downward force of \( 80 \, \text{N} \) is applied at point A.
3. **Dimensions:**
- Horizontal length from A to C is \( 250 \, \text{mm} \).
- Vertical distance from C to B is marked as \( b \) which is \( 60 \, \text{mm} \).
- Horizontal length from C to D is \( 90 \, \text{mm} \).
- The semicircular section radius from C to D is \( 75 \, \text{mm} \).
4. **Supports:**
- There is a support at point B, and a support at the top right end at point D.
The task is to calculate the support reactions at points B and D given the specified conditions.
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