Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Solve for the support reactions at A and B. 4 m W 15KN/m A B 3m 3m

Solve for the support reactions at A and B. 4 m W 15KN/m A B 3m 3m

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
### Beam Analysis Problem **Objective:** Solve for the support reactions at points A and B. **Diagram Description:** - **Beam Setup:** The beam is supported at point A (a fixed support) and point B (a roller support) with an overhanging section extending to point C. - **Dimensions:** - Distance from A to B: 3 meters. - Distance from B to C: 3 meters. - **Load:** A uniformly distributed load (UDL) of \( w = 15 \, \text{kN/m} \) is applied over a 4-meter section of the beam, starting at point A. - **Total Length of Beam:** 6 meters. **Analysis Approach:** 1. **Identify Supports:** - A: Fixed Support (supports both vertical and horizontal forces and a moment). - B: Roller Support (supports only vertical force). 2. **Determine Support Reactions:** - Calculate reactions at A and B using static equilibrium equations: 1. Sum of vertical forces (\(\Sigma F_y = 0\)). 2. Sum of moments about any point (\(\Sigma M = 0\)). This setup is essential for determining the internal stresses and displacements in the beam under the given load.
Transcribed Image Text:### Beam Analysis Problem **Objective:** Solve for the support reactions at points A and B. **Diagram Description:** - **Beam Setup:** The beam is supported at point A (a fixed support) and point B (a roller support) with an overhanging section extending to point C. - **Dimensions:** - Distance from A to B: 3 meters. - Distance from B to C: 3 meters. - **Load:** A uniformly distributed load (UDL) of \( w = 15 \, \text{kN/m} \) is applied over a 4-meter section of the beam, starting at point A. - **Total Length of Beam:** 6 meters. **Analysis Approach:** 1. **Identify Supports:** - A: Fixed Support (supports both vertical and horizontal forces and a moment). - B: Roller Support (supports only vertical force). 2. **Determine Support Reactions:** - Calculate reactions at A and B using static equilibrium equations: 1. Sum of vertical forces (\(\Sigma F_y = 0\)). 2. Sum of moments about any point (\(\Sigma M = 0\)). This setup is essential for determining the internal stresses and displacements in the beam under the given load.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS