• Compute all support reactions and hinge forces. ● Draw the free body diagram (FBD) on the space provided. Draw the axial force diagram (N) on the space provided. Draw the shear diagram (V) on the space provided. Draw the moment diagram (M) on the space provided. o For the moment diagram show all maxima, minima, and locations of inflection points. Label the degree of any curves as well. Draw the qualitative deflected shape (y) on the space provided. ● 20 kN-m F 6 kN- 2m с 3 kN/m E Im O D Figure 1 4m E

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Structural Analysis Task

#### Objectives
1. Compute all support reactions and hinge forces.
2. Draw the Free Body Diagram (FBD) on the space provided.
3. Draw the axial force diagram (N) on the space provided.
4. Draw the shear diagram (V) on the space provided.
5. Draw the moment diagram (M) on the space provided.
   - For the moment diagram, show all maxima, minima, and locations of inflection points. Label the degree of any curves as well.
6. Draw the qualitative deflected shape (y) on the space provided.

#### Figure 1: Beam Configuration and Loading
The beam structure depicted in Figure 1 is composed of several segments with different supports and loadings. Key points and loads are labeled as follows:

- **Point A**: Fixed support at the bottom left, 2 meters from point B.
- **Point B**: Located at the upper left corner, 1 meter to the right of point C, experiences a 20 kN-m clockwise moment. A vertical segment from point A to B is 3 meters.
- **Point C**: Hinge support, experiencing a horizontal force of 6 kN to the right.
- **Point D**: Hinge located 1 meter to the right of C.
- **Point E**: Roller support 4 meters to the right of D.
- Distributed load of 3 kN/m between points D and E spans the entire 4 meters length.
  
#### Detailed Explanation of the Beam Configuration:
1. **Supports**:
   - **Fixed Support at A**: Resists vertical, horizontal forces and a moment.
   - **Hinge at C**: Only resists vertical and horizontal forces, allows rotation.
   - **Hinge at D**: Located within the span of the beam between C and E.
   - **Roller at E**: Only resists vertical forces, allows horizontal movement.
   
2. **Loads**:
   - **Concentrated Moments at B**: 20 kN-m clockwise applied externally.
   - **Concentrated Force at C**: 6 kN horizontal force towards the right.
   - **Uniformly Distributed Load**: 3 kN/m over 4 meters from D to E.

#### Instructions:
1. Calculate the reactions at all supports (A, C, and E) and determine the internal hinge force at D.
Transcribed Image Text:### Structural Analysis Task #### Objectives 1. Compute all support reactions and hinge forces. 2. Draw the Free Body Diagram (FBD) on the space provided. 3. Draw the axial force diagram (N) on the space provided. 4. Draw the shear diagram (V) on the space provided. 5. Draw the moment diagram (M) on the space provided. - For the moment diagram, show all maxima, minima, and locations of inflection points. Label the degree of any curves as well. 6. Draw the qualitative deflected shape (y) on the space provided. #### Figure 1: Beam Configuration and Loading The beam structure depicted in Figure 1 is composed of several segments with different supports and loadings. Key points and loads are labeled as follows: - **Point A**: Fixed support at the bottom left, 2 meters from point B. - **Point B**: Located at the upper left corner, 1 meter to the right of point C, experiences a 20 kN-m clockwise moment. A vertical segment from point A to B is 3 meters. - **Point C**: Hinge support, experiencing a horizontal force of 6 kN to the right. - **Point D**: Hinge located 1 meter to the right of C. - **Point E**: Roller support 4 meters to the right of D. - Distributed load of 3 kN/m between points D and E spans the entire 4 meters length. #### Detailed Explanation of the Beam Configuration: 1. **Supports**: - **Fixed Support at A**: Resists vertical, horizontal forces and a moment. - **Hinge at C**: Only resists vertical and horizontal forces, allows rotation. - **Hinge at D**: Located within the span of the beam between C and E. - **Roller at E**: Only resists vertical forces, allows horizontal movement. 2. **Loads**: - **Concentrated Moments at B**: 20 kN-m clockwise applied externally. - **Concentrated Force at C**: 6 kN horizontal force towards the right. - **Uniformly Distributed Load**: 3 kN/m over 4 meters from D to E. #### Instructions: 1. Calculate the reactions at all supports (A, C, and E) and determine the internal hinge force at D.
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