Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. 8 kN 5 kN/m 112N m A 4 m 5 m 11 m -5 m-

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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### Beam Analysis Problem

**Task:**  
Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work.

**Diagram Description:**  
- A horizontal beam fixed at point A.
- A point load of 8 kN is applied 4 meters from A.
- A distributed load increases linearly from 0 kN to 5 kN/m along a 5-meter span starting from the 8 kN point load.
- A counter-clockwise moment of 112 kN·m is applied 20 meters from point A.
- The beam is 25 meters in total length.

**Questions:**

1. **When x = 2.7 m,**  
   - Shear Force (V) = [___] kN
   - Moment (M) = [___] kN·m

2. **When x = 5.8 m,**  
   - Shear Force (V) = [___] kN
   - Moment (M) = [___] kN·m

3. **When x = 17.0 m,**  
   - Shear Force (V) = [___] kN
   - Moment (M) = [___] kN·m

4. **When x = 21.7 m,**  
   - Shear Force (V) = [___] kN
   - Moment (M) = [___] kN·m

**Maximum (Absolute Value) Calculations:**

- The maximum (absolute value) shear force in the beam is:
  \[ |V_{\text{max}}| = [___] \text{ kN} \]

- The maximum (absolute value) bending moment in the beam is:
  \[ |M_{\text{max}}| = [___] \text{ kN·m} \]

**Note:**  
For determining the shear force and bending moment at specific points (x = 2.7 m, 5.8 m, etc.), perform sectional analysis. The calculation of maximum values involves finding peak points in the shear force and bending moment diagrams.
Transcribed Image Text:### Beam Analysis Problem **Task:** Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. **Diagram Description:** - A horizontal beam fixed at point A. - A point load of 8 kN is applied 4 meters from A. - A distributed load increases linearly from 0 kN to 5 kN/m along a 5-meter span starting from the 8 kN point load. - A counter-clockwise moment of 112 kN·m is applied 20 meters from point A. - The beam is 25 meters in total length. **Questions:** 1. **When x = 2.7 m,** - Shear Force (V) = [___] kN - Moment (M) = [___] kN·m 2. **When x = 5.8 m,** - Shear Force (V) = [___] kN - Moment (M) = [___] kN·m 3. **When x = 17.0 m,** - Shear Force (V) = [___] kN - Moment (M) = [___] kN·m 4. **When x = 21.7 m,** - Shear Force (V) = [___] kN - Moment (M) = [___] kN·m **Maximum (Absolute Value) Calculations:** - The maximum (absolute value) shear force in the beam is: \[ |V_{\text{max}}| = [___] \text{ kN} \] - The maximum (absolute value) bending moment in the beam is: \[ |M_{\text{max}}| = [___] \text{ kN·m} \] **Note:** For determining the shear force and bending moment at specific points (x = 2.7 m, 5.8 m, etc.), perform sectional analysis. The calculation of maximum values involves finding peak points in the shear force and bending moment diagrams.
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