Using virtual work, determine displacement at B. (E = 29,000 ksi & I = 1,000 in^4) ### Problem Statement**Objective:** Using virtual work, determine the displacement at point B in the beam.**Diagram Description:** The diagram illustrates a simply supported beam with two supports, denoted as A and C. The beam is subjected to a uniformly distributed load of \(3 \, \text{k/ft}\) over a span of 25 feet (12.5 feet between A and B, and 12.5 feet between B and C).**Dimensions and Parameters:**- **Span Lengths:** - Between A and B: \(12.5 \, \text{ft}\) - Between B and C: \(12.5 \, \text{ft}\)- **Load:** - Uniform distributed load: \(3 \, \text{k/ft}\)**Material Properties:**- Modulus of Elasticity (\(E\)): \(29,000 \, \text{ksi}\)- Moment of Inertia (\(I\)): \(1000 \, \text{in}^4\)### Analysis Method- **Virtual Work:** Apply the principles of virtual work to calculate the displacement at point B.This task requires an understanding of structural analysis and the application of energy methods to find deflections in beams.

By the principal of virtual work, deflection at any point of the beam can be calculated as: Now,…

Answered: Usingvirtual work determine…

Engineering

Civil Engineering

Usingvirtual work determine displacenent lat' Bi 3 ET 12,5 +2, 5 1o00 (IN) A

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

Using virtual work, determine displacement at B. (E = 29,000 ksi & I = 1,000 in^4)

### Problem Statement

**Objective:**
Using virtual work, determine the displacement at point B in the beam.

**Diagram Description:**
The diagram illustrates a simply supported beam with two supports, denoted as A and C. The beam is subjected to a uniformly distributed load of \(3 \, \text{k/ft}\) over a span of 25 feet (12.5 feet between A and B, and 12.5 feet between B and C).

**Dimensions and Parameters:**

- **Span Lengths:**
- Between A and B: \(12.5 \, \text{ft}\)
- Between B and C: \(12.5 \, \text{ft}\)

- **Load:**
- Uniform distributed load: \(3 \, \text{k/ft}\)

**Material Properties:**

- Modulus of Elasticity (\(E\)): \(29,000 \, \text{ksi}\)
- Moment of Inertia (\(I\)): \(1000 \, \text{in}^4\)

### Analysis Method

- **Virtual Work:** Apply the principles of virtual work to calculate the displacement at point B.

This task requires an understanding of structural analysis and the application of energy methods to find deflections in beams.

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