need help working sample problems. ### Educational Content for Structural Engineering**Question 3:**#### Free Body Diagram (FBD)- **Description:** The free body diagram depicts a horizontal beam with a length of 16 units subjected to different forces. A downward force of 1050 lbs is applied at the left end, and an equal upward reaction of 1050 lbs is at the right end. A point load of 500 lbs is applied downward at the center of the beam.#### Shear Force Diagram (SFD)- **Description:** The shear force diagram illustrates the variation of shear force along the length of the beam.- **Graph Details:** - The graph starts at 1050 lbs at the left end of the beam. - At the location of the central point load, the shear force drops sharply by 500 lbs. - It continues to decrease linearly, reaching -1050 lbs at the right end. #### Bending Moment Diagram (BMD)- **Description:** The bending moment diagram displays how the bending moment varies along the beam's length.- **Graph Details:** - The curve is parabolic, starting and ending at zero at the beam supports. - The maximum bending moment of 8000 lb.ft occurs at the center of the beam, where the point load is applied.These diagrams are crucial for understanding the internal forces and moments within a beam subjected to external loads, which is essential for structural analysis and design. **Question 4: Structural Analysis**This section analyzes the forces and moments on a beam using various diagrams. Below are the detailed explanations of each part.### Free Body Diagram (FBD)- **Description:** The Free Body Diagram displays a horizontal beam subjected to external forces.- **Details:** - A downward force of 500 lb is applied at the center of the beam. - Upward reactions of 500 lb are applied at both ends, indicating support points.### Shear Force Diagram (SFD)- **Description:** The Shear Force Diagram shows the variation of shear force along the beam.- **Graph Explanation:** - On the left end, the shear force starts at 500 lb. - It drops to 0 lb at the midpoint where the downward force is applied. - From the midpoint to the right end, it remains constant at -500 lb. - The diagram is divided into segments to show changes in shear force at critical points.### Bending Moment Diagram (BMD)- **Description:** The Bending Moment Diagram illustrates the variation of bending moment along the beam.- **Graph Explanation:** - The bending moment starts at 0 at both ends of the beam. - It increases linearly to reach its maximum value at the midpoint. - The maximum bending moment is indicated to be 2000 lb-ft at the center. - The lines converge back to 0 at the right end, indicating symmetrical loading and support.These diagrams are essential for understanding how loads affect structural elements and are used for designing safe and efficient structures.

Answered: Image /qna-images/answer/201797cc-0de2-489c-90e5-5a0f4c3420d1.jpg

* along the beam is: (No Position Entered) Question 3 The Bending Moment (M) at Bending Mone S200 Free Body Diagram (FBD) O Show Equivalent Loads 500 b 100on 1050 b 1050 b Shear Force Diagram (SFD) + z () 16 The Sheer force t tong the beam iNo Position Entered / Hand Calculations for Reaction Forces

* along the beam is: (No Position Entered) Question 3 The Bending Moment (M) at Bending Mone S200 Free Body Diagram (FBD) O Show Equivalent Loads 500 b 100on 1050 b 1050 b Shear Force Diagram (SFD) + z () 16 The Sheer force t tong the beam iNo Position Entered / Hand Calculations for Reaction Forces

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

need help working sample problems.

**Question 4: Structural Analysis**

This section analyzes the forces and moments on a beam using various diagrams. Below are the detailed explanations of each part.

### Free Body Diagram (FBD)
- **Description:** The Free Body Diagram displays a horizontal beam subjected to external forces.
- **Details:**
- A downward force of 500 lb is applied at the center of the beam.
- Upward reactions of 500 lb are applied at both ends, indicating support points.

### Shear Force Diagram (SFD)
- **Description:** The Shear Force Diagram shows the variation of shear force along the beam.
- **Graph Explanation:**
- On the left end, the shear force starts at 500 lb.
- It drops to 0 lb at the midpoint where the downward force is applied.
- From the midpoint to the right end, it remains constant at -500 lb.
- The diagram is divided into segments to show changes in shear force at critical points.

### Bending Moment Diagram (BMD)
- **Description:** The Bending Moment Diagram illustrates the variation of bending moment along the beam.
- **Graph Explanation:**
- The bending moment starts at 0 at both ends of the beam.
- It increases linearly to reach its maximum value at the midpoint.
- The maximum bending moment is indicated to be 2000 lb-ft at the center.
- The lines converge back to 0 at the right end, indicating symmetrical loading and support.

These diagrams are essential for understanding how loads affect structural elements and are used for designing safe and efficient structures.

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