Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
5/110 Determine the shear force V and bending moment M at a section of the loaded beam 200 mm to the right of A. 6 kN/m 300 mm 300 mm

5/110 Determine the shear force V and bending moment M at a section of the loaded beam 200 mm to the right of A. 6 kN/m 300 mm 300 mm

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

5.110

### Example Problem 5/110: **Determine the shear force \( V \) and bending moment \( M \) at a section of the loaded beam 200 mm to the right of \( A \).** #### Illustration and Description: The diagram accompanying the problem shows a horizontal beam supported at two points: - The left end of the beam, point \( A \), is supported by a pin support. - The right end of the beam, point \( B \), is supported by a roller support. **Beam Dimensions and Loading:** - The total length of the beam is 600 mm. - There is a uniformly distributed load (UDL) of 6 kN/m acting along the entire length of the beam. - The distance between points \( A \) and \( B \) is evenly split, with 300 mm from \( A \) to the midpoint and another 300 mm from the midpoint to \( B \). To determine the shear force \( V \) and bending moment \( M \) at a point 200 mm to the right of \( A \), follow the steps for static equilibrium analysis: **Key Inputs:** 1. **Support Reactions:** - Calculate the reactions at supports \( A \) and \( B \) by considering the entire beam in equilibrium. 2. **Shear Force at Section:** - Use the calculated support reactions to find the shear force 200 mm to the right of point \( A \). 3. **Bending Moment at Section:** - Use the shear force and the distribution of external loads to calculate the bending moment 200 mm to the right of point \( A \). **Calculations:** 1. **Determine reactions at supports:** - Consider the total load from the distributed load: \( w = 6 \, \text{kN/m} \times 0.6 \, \text{m} = 3.6 \, \text{kN} \) - Applying equilibrium equations: - Sum of vertical forces must be zero. - Sum of moments around any point (commonly chosen at \( A \) or \( B \)) must be zero. 2. **Evaluating Section Equilibrium:** - Isolate the segment of the beam up to the section point. - Apply equilibrium conditions on this segment to find \( V \) and \( M \).
Transcribed Image Text:### Example Problem 5/110: **Determine the shear force \( V \) and bending moment \( M \) at a section of the loaded beam 200 mm to the right of \( A \).** #### Illustration and Description: The diagram accompanying the problem shows a horizontal beam supported at two points: - The left end of the beam, point \( A \), is supported by a pin support. - The right end of the beam, point \( B \), is supported by a roller support. **Beam Dimensions and Loading:** - The total length of the beam is 600 mm. - There is a uniformly distributed load (UDL) of 6 kN/m acting along the entire length of the beam. - The distance between points \( A \) and \( B \) is evenly split, with 300 mm from \( A \) to the midpoint and another 300 mm from the midpoint to \( B \). To determine the shear force \( V \) and bending moment \( M \) at a point 200 mm to the right of \( A \), follow the steps for static equilibrium analysis: **Key Inputs:** 1. **Support Reactions:** - Calculate the reactions at supports \( A \) and \( B \) by considering the entire beam in equilibrium. 2. **Shear Force at Section:** - Use the calculated support reactions to find the shear force 200 mm to the right of point \( A \). 3. **Bending Moment at Section:** - Use the shear force and the distribution of external loads to calculate the bending moment 200 mm to the right of point \( A \). **Calculations:** 1. **Determine reactions at supports:** - Consider the total load from the distributed load: \( w = 6 \, \text{kN/m} \times 0.6 \, \text{m} = 3.6 \, \text{kN} \) - Applying equilibrium equations: - Sum of vertical forces must be zero. - Sum of moments around any point (commonly chosen at \( A \) or \( B \)) must be zero. 2. **Evaluating Section Equilibrium:** - Isolate the segment of the beam up to the section point. - Apply equilibrium conditions on this segment to find \( V \) and \( M \).
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
Design of Beams and Shafts
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.
Similar questions
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