Determine the slope at C and the deflection at B for the bar shown in the picture. Use the Double-Integration Method. Draw the shear diagram, moment diagram, and deflection shape in your process. **Problem Statement:**7–3. Determine the slope at C, and the deflection at B of the bar in Prob. 7–2.Probs. 7–2/3**Diagram Explanation:**The diagram illustrates a horizontal beam with the following features:- **Beam AB:** The beam extends from point A to point B, with a total length of 16 feet. It is supported and fixed at both ends.- **Supports:** - At point A, there is a roller support. - At point B, there is a fixed support which prevents both rotation and deflection at this end.- **Load:** - A concentrated load of 200 lb is applied downward at the midpoint of the beam, labeled as point C.- **Distances:** - The total span of the beam is divided into two equal sections of 8 feet each, from A to C and from C to B.The problem asks to determine two key responses of the beam due to the 200 lb load:1. The **slope** at point C.2. The **deflection** at point B.To solve this problem, relevant beam deflection and slope equations from statics and mechanics of materials can be applied, considering the type of supports and the load conditions.

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Answered: 7–3. Determine the slope at C, and the…

Engineering

Civil Engineering

7–3. Determine the slope at C, and the deflection at B of the bar in Prob. 7-2. Probs. 7-2/3 200 lb A В |C 8 ft 8 ft

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Determine the slope at C and the deflection at B for the bar shown in the picture. Use the Double-Integration Method. Draw the shear diagram, moment diagram, and deflection shape in your process.

**Problem Statement:**

7–3. Determine the slope at C, and the deflection at B of the bar in Prob. 7–2.
Probs. 7–2/3

**Diagram Explanation:**

The diagram illustrates a horizontal beam with the following features:

- **Beam AB:** The beam extends from point A to point B, with a total length of 16 feet. It is supported and fixed at both ends.

- **Supports:**
- At point A, there is a roller support.
- At point B, there is a fixed support which prevents both rotation and deflection at this end.

- **Load:**
- A concentrated load of 200 lb is applied downward at the midpoint of the beam, labeled as point C.

- **Distances:**
- The total span of the beam is divided into two equal sections of 8 feet each, from A to C and from C to B.

The problem asks to determine two key responses of the beam due to the 200 lb load:
1. The **slope** at point C.
2. The **deflection** at point B.

To solve this problem, relevant beam deflection and slope equations from statics and mechanics of materials can be applied, considering the type of supports and the load conditions.

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