Solid Mechanics Lab Report
Experiment to determine the Young’s modulus of an aluminium cantilever beam and the uncertainties in its measurement 1. Abstarct: The young’s modulus E, is a measure of the stiffness and is therefore one of the most important properties in engineering design. It is a materials ratio between stress and strain: E=σε

Young’s modulus is a unique value for each material and indicates the strength of that material as well as how it will deform when a load is applied.

2. Introduction: The Young’s Modulus can only be derived experimentally, there are no theoretical methods by which the young’s Modulus of a material can be calculated therefore in this experiment our aims were: * To calculate the Young’s modulus ,E of Aluminium from measurement of the end deflection of cantilever beam of aluminium loaded at its free end * To assess the accuracy and precision of this method by comparing the calculated value of E to the known value Eal=72.6 GPa * To measure the deflected shape of the aluminium beam for one loading condition (15N) and to compare this with the theoretical prediction of the beam bending theory for deflection of a cantilever

yx= PL32EIxL2-13xL3

3. Materials and Methods
The apparatus shown below was set up and the following equipments were used: * Dial gauge was used to measure deflection of the beam
* Magnetic clamp stand (not to affect the bending of the beam) * Solid Aluminium Beam
* 15 Weights(1N each)
* Clamp to keep it still at one end.
* Steel base

4.Results
1. Load/Deflection behaviour :Equation to calculate the young’s Modulus from the slope of deflection vs. load graph E= 4L3bd3(slope)

We measured the length (L) the width (d) and the breadth (b) of the beam 5 times and then calculated the average: Average Length/mm| Average width/mm| Average breadth/mm| 998| 25.28| 15.73|

The uncertainties of the slope, length, breadth and width were estimated using the rage...

...Anil Shrestha
IB Physics Labwork
FINDING YOUNG’SMODULUS OF WOODEN METRE RULER
INTRODUCTION:
Young’smodulus is also known as tensile modulus. It is the measure of elasticity and it is a very important characteristic of a material. The formula of young’smodulus is stress by strain.
In this experiment I am going to determine the young’smodulus (E) of wood...

...Solid Mechanics Lab Report
Measurement of Young’sModulus
Sherin Joseph
00549618
Measurement of Young’sModulus of Aluminium using Cantilever loading
Abstract
The Young’smodulus of Aluminium was calculated using the measurements of the cantilever deflections. A beam of aluminium was clamped on one end and the other end was loaded with different...

...How Does The Young’sModulus of a Sweet Lace Compare To The Young’sModulus of the Cables Supporting The Millennium Bridge ?
Visit: The Millennium Bridge
For our physics practical, we visited The Millennium Bridge a pedestrian footbridge located at the heart of London that crosses the River Thames. It links the City and St Paul’s Cathedral to the north with the Globe Theatre and Tate Modern on Bankside. Construction of this...

...Three: Parallam Beam Deflection
Lab Group - 1st Mondays, Late: Jesse Bertrand, Ryan Carmichael, Anne Krikorian, Noah Marks, Ann Murray Report by Ryan Carmichael and Anne Krikorian
E6 Laboratory Report – Submitted 12 May 2008 Department of Engineering, Swarthmore College
Abstract:
In this laboratory, we determined six different values for the Elastic Flexural Modulus of a 4-by10 (100” x 3.50” x 9.46”) Parallam wood-composite test beam. To...

...Experiment 1 : Young Modulus
Title :Bending of beam and coefficient of elasticity.
Objective : To study the relationship between load, span, width, height and deflection of a beam, places on two bearers and affected by a concentrated load at the centre.
:To ascertain the coefficient of elasticity for aluminium, brass and steel.
Results :
Measurement of test specimen
(a) For beam material – Steel...

...stiffness of two cantilevered beams composed of steel and aluminum while maintaining both beams at a constant thickness and cross sectional area. The experiment also investigated material properties and dimensions and their relationship to structural stiffness. The experiment was divided into two separate parts. The results for the first part of the experiment were obtained by clamping the beam at one end while applying different masses at a...

...material to perform a certain function in engineering is such a fundamental concern that prompted scientists to investigate and examine the physical and mechanical properties of materials. This report discussed the property of elastic deformation of beams since it’s commonly used in several engineering fields. To begin with, a brief introduction on elasticity is presented, including some related definition and formulae. Then, a guide line to the experiment was explained and...

2666 Words |
11 Pages

Share this Document

Let your classmates know about this document and more at StudyMode.com

## Share this Document

Let your classmates know about this document and more at StudyMode.com