**Beam Analysis Using the Semigraphical Approach****Objective:**Construct the load, shear, and moment diagrams for the specified beam conditions using the semigraphical approach.**Beam Description:**- **Supports:** - Point A: Fixed support - Point B: Hinge support - Point C: Roller support- **Beam Span:** - Total length = 20 ft, divided into sections - Section AB = 5 ft - Section BC = 10 ft - Section CD = 5 ft- **Applied Loads:** - Point Load of 2 kips at A - Point Load of 4 kips at B - Point Load of 2 kips at C**Diagram Explanation:**1. **Load Diagram:** - Illustrates the magnitude and position of the applied loads on the beam. - Consists of three downward point loads: 2 kips at A, 4 kips at B, and 2 kips at C.2. **Shear Force Diagram:** - Depicts the shear force across the length of the beam. - Affected by the applied loads and reactions at the supports.3. **Bending Moment Diagram:** - Shows the bending moment at any point along the beam. - Influenced by the distances between supports and applied loads.**Analysis Procedure:**1. **Reaction Calculation:** - Determine the reactions at the supports (A, B, and C) using static equilibrium equations.2. **Shear Force Calculation:** - Start from one end of the beam and work through to the other end, summing forces vertically to find shear forces at key points.3. **Moment Calculation:** - Use the area under the shear diagram to calculate the bending moment at key points.**Conclusion:**Utilize these diagrams to evaluate the beam's response under the given loading conditions and ensure structural stability and performance.

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Answered: Construct the load, shear, and moment…

Engineering

Mechanical Engineering

Construct the load, shear, and moment diagrams for the following beam conditions using the semigraphical approach 2K

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

**Beam Analysis Using the Semigraphical Approach**

**Objective:**
Construct the load, shear, and moment diagrams for the specified beam conditions using the semigraphical approach.

**Beam Description:**
- **Supports:**
- Point A: Fixed support
- Point B: Hinge support
- Point C: Roller support

- **Beam Span:**
- Total length = 20 ft, divided into sections
- Section AB = 5 ft
- Section BC = 10 ft
- Section CD = 5 ft

- **Applied Loads:**
- Point Load of 2 kips at A
- Point Load of 4 kips at B
- Point Load of 2 kips at C

**Diagram Explanation:**

1. **Load Diagram:**
- Illustrates the magnitude and position of the applied loads on the beam.
- Consists of three downward point loads: 2 kips at A, 4 kips at B, and 2 kips at C.

2. **Shear Force Diagram:**
- Depicts the shear force across the length of the beam.
- Affected by the applied loads and reactions at the supports.

3. **Bending Moment Diagram:**
- Shows the bending moment at any point along the beam.
- Influenced by the distances between supports and applied loads.

**Analysis Procedure:**

1. **Reaction Calculation:**
- Determine the reactions at the supports (A, B, and C) using static equilibrium equations.

2. **Shear Force Calculation:**
- Start from one end of the beam and work through to the other end, summing forces vertically to find shear forces at key points.

3. **Moment Calculation:**
- Use the area under the shear diagram to calculate the bending moment at key points.

**Conclusion:**
Utilize these diagrams to evaluate the beam's response under the given loading conditions and ensure structural stability and performance.

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