Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
5/117 Draw the shear and moment diagrams for the beam shown. Determine the distance b, measured from the left end, to the point where the bending moment is zero between the supports. 100 lb/ft 6′ 3'

5/117 Draw the shear and moment diagrams for the beam shown. Determine the distance b, measured from the left end, to the point where the bending moment is zero between the supports. 100 lb/ft 6′ 3'

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question

5.117

### Problem 5/117 **Objective:** Draw the shear and moment diagrams for the beam shown. Determine the distance \( b \), measured from the left end, to the point where the bending moment is zero between the supports. **Beam Description:** - The beam is subjected to a uniform distributed load of 100 lb/ft over its entire length. - It is supported at two points: one near the left end and the other near the right end. **Diagram Explanation:** - The beam is shown as a horizontal blue bar with supports. - The left support is 6 feet from the left end. - The right support is 3 feet from the right end. - The distributed load is represented by red arrows pointing downwards, evenly spaced along the beam. - The total length of the beam is 9 feet (6 feet + 3 feet). ### Steps to Solve: 1. **Calculate Reactions:** Determine the vertical reactions at the supports due to the uniform load. 2. **Shear Diagram:** Plot the shear force along the length of the beam by integrating the load distribution and applying the boundary conditions. 3. **Moment Diagram:** Plot the bending moment along the length of the beam by further integrating the shear force diagram. 4. **Determine Zero Moment Point:** Identify the distance \( b \) from the left end where the bending moment is zero between the supports. ### Notes: - The reaction forces at the supports can be found using static equilibrium equations. - The shear diagram will typically start from zero, increase or decrease based on the applied loads, and return to zero at the free end of the beam. - The moment diagram is obtained by integrating the shear diagram, with points of zero moment indicating potential locations of interest. This task involves understanding of statics, shear force, and bending moment calculations.
Transcribed Image Text:### Problem 5/117 **Objective:** Draw the shear and moment diagrams for the beam shown. Determine the distance \( b \), measured from the left end, to the point where the bending moment is zero between the supports. **Beam Description:** - The beam is subjected to a uniform distributed load of 100 lb/ft over its entire length. - It is supported at two points: one near the left end and the other near the right end. **Diagram Explanation:** - The beam is shown as a horizontal blue bar with supports. - The left support is 6 feet from the left end. - The right support is 3 feet from the right end. - The distributed load is represented by red arrows pointing downwards, evenly spaced along the beam. - The total length of the beam is 9 feet (6 feet + 3 feet). ### Steps to Solve: 1. **Calculate Reactions:** Determine the vertical reactions at the supports due to the uniform load. 2. **Shear Diagram:** Plot the shear force along the length of the beam by integrating the load distribution and applying the boundary conditions. 3. **Moment Diagram:** Plot the bending moment along the length of the beam by further integrating the shear force diagram. 4. **Determine Zero Moment Point:** Identify the distance \( b \) from the left end where the bending moment is zero between the supports. ### Notes: - The reaction forces at the supports can be found using static equilibrium equations. - The shear diagram will typically start from zero, increase or decrease based on the applied loads, and return to zero at the free end of the beam. - The moment diagram is obtained by integrating the shear diagram, with points of zero moment indicating potential locations of interest. This task involves understanding of statics, shear force, and bending moment calculations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Bending
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS