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.
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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