By using force method.. Assume El is constant 1-Determine the reactions at the supports. 2-Determine the moments at any joint. 3- Draw moment and shear diagrams. 50 kN B

Elements Of Electromagnetics
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### Problem Description: Structural Analysis Using Force Method

**Question 1:**

**Objective:**
Apply the force method to analyze the given beam. Assume the product of modulus of elasticity (E) and moment of inertia (I) is constant.
  
1. **Determine the reactions at the supports.**
2. **Determine the moments at any joint.**
3. **Draw moment and shear diagrams.**

**Beam Configuration:**
- The beam is supported at three points: A, B, and C.
- Point A is the leftmost support, and it appears to be a hinge (indicated by a triangle support).
- Point B is the middle support, located 2 meters from point A (indicated by a roller support).
- Point C is the rightmost support, located another 4 meters from point B (indicated by a fixed support).
- There is a concentrated load of 50 kN acting downward at a point located 2 meters from point A, which means it is right above point B.

**Diagram Description:**
- The total length of the beam from A to C is 8 meters.
- The beam is divided into three segments:
  - Segment AB: 2 meters
  - Segment BC: 2 meters
  - Segment CD: 4 meters
- The 50 kN load is acting between segments AB and BC at point B.

---

**Steps for Analysis Using Force Method:**

1. **Determine the reactions at the supports (A, B, C).**
   - Use equilibrium equations to find the vertical reactions at points A, B, and C.

2. **Determine moments at any joints.**
   - Calculate the internal moments at crucial points using the force method and the determined reactions.

3. **Draw moment and shear diagrams:**
   - Use the reactions and moments to construct shear force and bending moment diagrams for the entire length of the beam.

Upon solving these steps, you will be able to fully analyze the structural behavior of the beam under the given loading conditions.

---

This detailed problem statement can help students and learners understand how to approach structural analysis tasks using the force method, leading to a clearer comprehension of support reactions and bending moments in beams.
Transcribed Image Text:### Problem Description: Structural Analysis Using Force Method **Question 1:** **Objective:** Apply the force method to analyze the given beam. Assume the product of modulus of elasticity (E) and moment of inertia (I) is constant. 1. **Determine the reactions at the supports.** 2. **Determine the moments at any joint.** 3. **Draw moment and shear diagrams.** **Beam Configuration:** - The beam is supported at three points: A, B, and C. - Point A is the leftmost support, and it appears to be a hinge (indicated by a triangle support). - Point B is the middle support, located 2 meters from point A (indicated by a roller support). - Point C is the rightmost support, located another 4 meters from point B (indicated by a fixed support). - There is a concentrated load of 50 kN acting downward at a point located 2 meters from point A, which means it is right above point B. **Diagram Description:** - The total length of the beam from A to C is 8 meters. - The beam is divided into three segments: - Segment AB: 2 meters - Segment BC: 2 meters - Segment CD: 4 meters - The 50 kN load is acting between segments AB and BC at point B. --- **Steps for Analysis Using Force Method:** 1. **Determine the reactions at the supports (A, B, C).** - Use equilibrium equations to find the vertical reactions at points A, B, and C. 2. **Determine moments at any joints.** - Calculate the internal moments at crucial points using the force method and the determined reactions. 3. **Draw moment and shear diagrams:** - Use the reactions and moments to construct shear force and bending moment diagrams for the entire length of the beam. Upon solving these steps, you will be able to fully analyze the structural behavior of the beam under the given loading conditions. --- This detailed problem statement can help students and learners understand how to approach structural analysis tasks using the force method, leading to a clearer comprehension of support reactions and bending moments in beams.
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