1550 N 860 N/m A B 1.5 m→ 2.4m - 1.5 m 1.5 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Draw the shear and moment diagrams for the beam loaded with both the distributed and point loads and determine the maximum shear force (absolute value) and the maximum bending moment (absolute value).
[Answer: Vmax = 2020 N, Mmax = 3870 N m]

The image illustrates a beam supported at two points, labeled A and B. The beam is subject to a uniformly distributed load and a concentrated load. Here's a detailed explanation:

1. **Support Points:**
   - **Point A:** On the left, a fixed support represented by a triangle indicates a pin or hinge connection, which allows rotation but no translation.
   - **Point B:** On the right, a roller support allows movement in the horizontal direction but restrains vertical movement.

2. **Loads:**
   - **Uniformly Distributed Load (UDL):** 
     - Intensity: 860 N/m
     - Acts over a length of 2.4 meters, starting 1.5 meters from point A. It is illustrated by a series of downward-pointing arrows.

   - **Concentrated Load:** 
     - Magnitude: 1550 N
     - Acts downwards, located 1.5 meters to the right of the end of the UDL, or 1.5 meters from point B.

3. **Dimensions:**
   - The total length of the beam is segmented as follows:
     - 1.5 meters from point A to the start of the UDL.
     - 2.4 meters under the UDL.
     - 1.5 meters from the end of the UDL to the concentrated load.
     - 1.5 meters from the concentrated load to point B.

4. **Coordinate System:**
   - An \( x \)-axis is shown, originating at point A and extending to the right along the beam.

This diagram is typically used in structural analysis to calculate reactions at the supports, shear forces, and bending moments along the beam. It serves as a practical example for understanding how to analyze statically determinant beams under various loading conditions.
Transcribed Image Text:The image illustrates a beam supported at two points, labeled A and B. The beam is subject to a uniformly distributed load and a concentrated load. Here's a detailed explanation: 1. **Support Points:** - **Point A:** On the left, a fixed support represented by a triangle indicates a pin or hinge connection, which allows rotation but no translation. - **Point B:** On the right, a roller support allows movement in the horizontal direction but restrains vertical movement. 2. **Loads:** - **Uniformly Distributed Load (UDL):** - Intensity: 860 N/m - Acts over a length of 2.4 meters, starting 1.5 meters from point A. It is illustrated by a series of downward-pointing arrows. - **Concentrated Load:** - Magnitude: 1550 N - Acts downwards, located 1.5 meters to the right of the end of the UDL, or 1.5 meters from point B. 3. **Dimensions:** - The total length of the beam is segmented as follows: - 1.5 meters from point A to the start of the UDL. - 2.4 meters under the UDL. - 1.5 meters from the end of the UDL to the concentrated load. - 1.5 meters from the concentrated load to point B. 4. **Coordinate System:** - An \( x \)-axis is shown, originating at point A and extending to the right along the beam. This diagram is typically used in structural analysis to calculate reactions at the supports, shear forces, and bending moments along the beam. It serves as a practical example for understanding how to analyze statically determinant beams under various loading conditions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Introduction to Material Study
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.
Similar questions
  • SEE MORE QUESTIONS
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