25k-ft е ति f | 2' 2' -| +2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Draw the shear force, bending moment, and deflection shape diagram. PLEASE AND THANK YOU
Transcribed Image Text:The image depicts a structural analysis problem involving a simply supported beam subjected to a moment load. Below is a detailed explanation of the elements in the diagram and their significance:
### Description of Diagram:
1. **Beam Setup**:
- **Supports**: The beam is simply supported with two types of supports:
- On the left end, there is a triangular support (often referred to as a pin support or roller support), which allows rotation but restricts vertical movement.
- On the right end, there is a circular support (commonly called a roller support), which allows both rotation and horizontal movement but restricts vertical displacement.
- **Beam Span**: The entire beam is divided into two segments of equal length. Each segment measures 2 feet.
2. **Applied Moment**:
- A clockwise moment of 25 k-ft (kilopound-foot) is applied at the midpoint of the beam. The point of application is represented by a circular arrow indicating the direction (clockwise) of the applied moment.
3. **Dimensions**:
- The span of the beam is annotated to show the distances, with each segment measuring 2 feet in length, thus making the total length of the beam 4 feet.
### Explanation:
In this type of diagram (a typical problem in structural analysis), the beam experiences a moment at its center, which will create bending stresses along its length. The supports will generate reactions to keep the beam in equilibrium.
- **Moment (25 k-ft)**: This applied moment will cause bending in the beam and is a critical parameter for determining the internal forces and moments at various points along the beam.
- **Supports**: The pin support on the left will provide a vertical reaction, while the roller support on the right will provide a vertical reaction as well.
### Analysis Steps (in a real problem-solving scenario):
1. **Equilibrium Equations**:
- Sum of vertical forces = 0.
- Sum of moments about any point (usually one of the supports) = 0.
2. **Calculate Reactions**:
- Use the equilibrium equations to solve for the reactions at the supports.
3. **Shear Force and Bending Moment Diagrams**:
- Draw shear force and bending moment diagrams to visualize how the internal forces vary along the length of the beam.
4. **Deflection Calculations**:
- Determine the deflection of the beam using appropriate formulas and methods, such
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