Bending in Beams
Sheffield Hallam University
Department of Engineering and Mathematics
Faculty of ACES
For the attention of: Mo Islam
Student Name: Daniel Lonergan
1
Daniel Lonergan
55-403198 Principles of Solid Mechanics and Dynamics
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Solid mechanics- Lab report, Essays (university) of Applied Solid Mechanics
Lab report detailing experiment which took place involving bending in beams
Typology: Essays (university)
2018/2019
1 / 4
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Solid mechanics- Lab report and more Essays (university) Applied Solid Mechanics in PDF only on Docsity!
Bending in Beams
Sheffield Hallam University
Department of Engineering and Mathematics
Faculty of ACES
For the attention of: Mo Islam
Student Name: Daniel Lonergan
Daniel Lonergan
55-403198 Principles of Solid Mechanics and Dynamics
Student ID: 27041290
Module code & name: 55-403198 Principles of Solid Mechanics and
Dynamics
Course name: Materials Engineering
Date: 26 th^ February 2018
Introduction
Structural beams are one of the most widely used support mechanisms in everyday society, from buildings to bridges to roof structures, they are used in engineering application very frequently, therefore it is vital to understand the concepts of stresses and strains and how these structural beams deflect. Also, it is important to know how the relationships between these concepts, bending moments, elastic modulus and deflection are expressed using the elastic bending theory by using the simple bending formula in practice.
To fully understand these concepts in application, the objective of this lab experiment is to carry out two experiments using two different methods using different supports and fixing conditions to understand how the bending moment distribution (BDM) can be controlled. This will also allow examination of how materials properties and sectional properties will affect bending behaviour of these structural beams.
Background Theory
The theory behind this experiment comes from simple bending taken from the elastic bending theory also known as the ‘Euler- Bernoulli’ theory. Which states that for a uniform cross-section beam segment subjected to a bending moment that this bending Moment at any given position divided by the second area moment is equal to the stress from the bend at a distance from the neutral axis is equal to the Youngs modulus of the material divided by its radius of curvature from deflection.
The equation follows as thus;