**Problem 7-9:**Determine the maximum deflection of the beam and the slope at \( A \). \( EI \) is constant.**Diagram Explanation:**The diagram illustrates a beam supported at two points, \( A \) and \( B \), with two equal moments \( M_0 \) applied at equal distances from the ends. The beam is horizontally aligned.- The beam is depicted with arrows showing the applied moments \( M_0 \) acting upwards at the two marked points.- The distance from \( A \) to the first moment is labeled as \( a \).- The distance between the two moments is indicated as \( 2a \), with the second \( a \) leading to point \( B \).This setup suggests analyzing the effects of these applied moments on the beam's deflection and slope, particularly at the support \( A \). The constant \( EI \) implies uniform material and cross-sectional properties, simplifying calculations for deflection and slope.

A simply supported beam is loaded as follows

Answered: 7-9. Determine the maximum deflection…

Engineering

Civil Engineering

7-9. Determine the maximum deflection of the beam and the slope at A. EI is constant. oblems 7-9 a Mo a Mo B

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

**Problem 7-9:**

Determine the maximum deflection of the beam and the slope at \( A \). \( EI \) is constant.

**Diagram Explanation:**

The diagram illustrates a beam supported at two points, \( A \) and \( B \), with two equal moments \( M_0 \) applied at equal distances from the ends. The beam is horizontally aligned.

- The beam is depicted with arrows showing the applied moments \( M_0 \) acting upwards at the two marked points.
- The distance from \( A \) to the first moment is labeled as \( a \).
- The distance between the two moments is indicated as \( 2a \), with the second \( a \) leading to point \( B \).

This setup suggests analyzing the effects of these applied moments on the beam's deflection and slope, particularly at the support \( A \). The constant \( EI \) implies uniform material and cross-sectional properties, simplifying calculations for deflection and slope.

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