Draw the shear diagram for the beam. Follow the sign convention. (Figure 1) Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note 1 - Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear correct visually because the lines overlap, but the system will mark it wrong. Note 2 - You should not draw an "extra" discontinuity line at the point where the curve passes the x-axis. Note 3 - Be sure to indicate the correct types of the functions between the lines, e.g. if in your answer the type of a function is "linear increasing slope" for the function that actually has linear decreasing slope, the answer will be graded as incorrect. Use the button "change segment" if necessary. 1.5 kN/m -2 m- B 4 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Shear Diagram Instructions for Beam Analysis

#### Instructions:
1. **Add Vertical Lines**: Click on "add vertical line off" to add discontinuity lines.
2. **Add Segments**: Click on "add segment" to add functions between the lines.

#### Notes:
- **Note 1**: Ensure only one vertical line per discontinuity is used. Placing multiple lines at the same position can cause errors in marking.
- **Note 2**: Avoid adding an unnecessary discontinuity line at points where the curve intersects the x-axis.
- **Note 3**: Accurately indicate the type of functions between lines. For example, if a section requires a "linear increasing slope" but is entered as "linear decreasing slope," the answer will be incorrect. Use the "change segment" feature as needed.

#### Beam Details:
- **Beam Lengths**: Section AB = 2m, Section BC = 4m.
- **Distributed Load**: 1.5 kN/m applied across section BC.

#### Diagram Description:
- **Force Diagram**: The diagram at the top shows a beam supported at points A and C, with a uniform distributed load on section BC.
- **Graph Layout**: 
  - The vertical axis (V) measures shear force in kN.
  - The horizontal axis (x) measures distance along the beam in meters (m), ranging from 0 to 4 m.
  - Grid lines aid in plotting precise values.

**Action Required**: Utilize the graph to accurately depict the shear force distribution along the beam, adhering to the given steps and notes for precise analysis.
Transcribed Image Text:### Shear Diagram Instructions for Beam Analysis #### Instructions: 1. **Add Vertical Lines**: Click on "add vertical line off" to add discontinuity lines. 2. **Add Segments**: Click on "add segment" to add functions between the lines. #### Notes: - **Note 1**: Ensure only one vertical line per discontinuity is used. Placing multiple lines at the same position can cause errors in marking. - **Note 2**: Avoid adding an unnecessary discontinuity line at points where the curve intersects the x-axis. - **Note 3**: Accurately indicate the type of functions between lines. For example, if a section requires a "linear increasing slope" but is entered as "linear decreasing slope," the answer will be incorrect. Use the "change segment" feature as needed. #### Beam Details: - **Beam Lengths**: Section AB = 2m, Section BC = 4m. - **Distributed Load**: 1.5 kN/m applied across section BC. #### Diagram Description: - **Force Diagram**: The diagram at the top shows a beam supported at points A and C, with a uniform distributed load on section BC. - **Graph Layout**: - The vertical axis (V) measures shear force in kN. - The horizontal axis (x) measures distance along the beam in meters (m), ranging from 0 to 4 m. - Grid lines aid in plotting precise values. **Action Required**: Utilize the graph to accurately depict the shear force distribution along the beam, adhering to the given steps and notes for precise analysis.
**Title: Beam Moment Diagram Construction**

**Instructions:**

To create a moment diagram for the beam, follow the sign convention and these steps:

1. **Adding Discontinuity Lines:**
   - Click on "add vertical line off" to introduce discontinuity lines.

2. **Adding Segments:**
   - After discontinuity lines are in place, click on "add segment" to insert functions between the lines.

**Important Notes:**

- **Note 1:**
  - Ensure only one vertical line is placed at sections necessitating a vertical line. Placing two vertical lines at the same location can appear correct visually but will cause errors in the system.

- **Note 2:**
  - Insert a vertical line to indicate local maximum or minimum points.

- **Note 3:**
  - The chosen curve from the drop-down is only a representation and not mathematically equivalent to the precise answer. Slopes, discontinuities, and x-axis intercepts might not be accurate.

**Diagram Explanation:**

- **Beam Description:**
  - A simply supported beam with point A is supported by a fixed hinge and point C by a roll support.
  - The beam spans 6 meters between points A and C with a 2-meter segment from A to B, and 4 meters from B to C.
  - A uniformly distributed load of 1.5 kN/m is applied over the span from B to C.

- **Graph Representation:**
  - The x-axis represents the distance in meters along the beam from A to C (0 to 4 meters).
  - The y-axis represents the moment M in kN·m ranging from -2.0 to 2.0.
  - The region below the beam indicates where moment calculations and diagram adjustments are performed.

**Interactive Area:**

- **No Elements Selected:**
  - Displays when no parts of the diagram are active.

- **Action Panel:**
  - Allows you to insert and manage discontinuity lines and segments in the canvas for accurate moment diagram creation.

This guidance is for educational purposes, aiming to facilitate a clear understanding of moment diagram generation for structural analysis.
Transcribed Image Text:**Title: Beam Moment Diagram Construction** **Instructions:** To create a moment diagram for the beam, follow the sign convention and these steps: 1. **Adding Discontinuity Lines:** - Click on "add vertical line off" to introduce discontinuity lines. 2. **Adding Segments:** - After discontinuity lines are in place, click on "add segment" to insert functions between the lines. **Important Notes:** - **Note 1:** - Ensure only one vertical line is placed at sections necessitating a vertical line. Placing two vertical lines at the same location can appear correct visually but will cause errors in the system. - **Note 2:** - Insert a vertical line to indicate local maximum or minimum points. - **Note 3:** - The chosen curve from the drop-down is only a representation and not mathematically equivalent to the precise answer. Slopes, discontinuities, and x-axis intercepts might not be accurate. **Diagram Explanation:** - **Beam Description:** - A simply supported beam with point A is supported by a fixed hinge and point C by a roll support. - The beam spans 6 meters between points A and C with a 2-meter segment from A to B, and 4 meters from B to C. - A uniformly distributed load of 1.5 kN/m is applied over the span from B to C. - **Graph Representation:** - The x-axis represents the distance in meters along the beam from A to C (0 to 4 meters). - The y-axis represents the moment M in kN·m ranging from -2.0 to 2.0. - The region below the beam indicates where moment calculations and diagram adjustments are performed. **Interactive Area:** - **No Elements Selected:** - Displays when no parts of the diagram are active. - **Action Panel:** - Allows you to insert and manage discontinuity lines and segments in the canvas for accurate moment diagram creation. This guidance is for educational purposes, aiming to facilitate a clear understanding of moment diagram generation for structural analysis.
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