F4-16. Draw the shear and moment diagrams for the beam. Indicate values at the supports and at the points where a change in load occurs. 18 k 6 k/ft -12 ft- -12 ft B F4-16

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Problem F4–16: Shear and Moment Diagrams for a Beam**

**Objective:** 
Draw the shear and moment diagrams for the beam. Indicate values at the supports and at the points where a change in load occurs.

**Description:**

- The beam is supported at two points: a pin support at point A on the left and a roller support at point B on the right.
  
- The length of the beam is divided into two sections, each 12 feet long, totaling 24 feet.

- The beam is subjected to:
  - A uniformly distributed load of 6 kips/foot that spans 12 feet from the left support, A, to the midpoint.
  - A concentrated vertical load of 18 kips acting downward at the midpoint of the beam.

**Key Requirements:**

1. **Shear Diagram:**
   - Calculate and plot the shear force along the length of the beam.
   - Indicate shear values at supports A and B, and at points where the load changes.

2. **Moment Diagram:**
   - Calculate and plot the bending moment along the beam.
   - Indicate moment values at supports A and B, and at points where the load changes.

**Visual Guide:**
- The loads and supports are depicted in the diagram above.
- Point A has a triangular symbol representing a pin support.
- Point B has a circular symbol representing a roller support.
- Uniformly distributed load is represented by downward arrows spanning the first half of the beam.
- The concentrated load is represented by a single larger downward arrow at the midpoint.

Ensure the diagrams clearly reflect changes at critical points and provide calculations where necessary to support your conclusions.
Transcribed Image Text:**Problem F4–16: Shear and Moment Diagrams for a Beam** **Objective:** Draw the shear and moment diagrams for the beam. Indicate values at the supports and at the points where a change in load occurs. **Description:** - The beam is supported at two points: a pin support at point A on the left and a roller support at point B on the right. - The length of the beam is divided into two sections, each 12 feet long, totaling 24 feet. - The beam is subjected to: - A uniformly distributed load of 6 kips/foot that spans 12 feet from the left support, A, to the midpoint. - A concentrated vertical load of 18 kips acting downward at the midpoint of the beam. **Key Requirements:** 1. **Shear Diagram:** - Calculate and plot the shear force along the length of the beam. - Indicate shear values at supports A and B, and at points where the load changes. 2. **Moment Diagram:** - Calculate and plot the bending moment along the beam. - Indicate moment values at supports A and B, and at points where the load changes. **Visual Guide:** - The loads and supports are depicted in the diagram above. - Point A has a triangular symbol representing a pin support. - Point B has a circular symbol representing a roller support. - Uniformly distributed load is represented by downward arrows spanning the first half of the beam. - The concentrated load is represented by a single larger downward arrow at the midpoint. Ensure the diagrams clearly reflect changes at critical points and provide calculations where necessary to support your conclusions.
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