MECHANICS AND MATERIALS LAB
SEM a couple of 2012/13
EXPERIMENT six: THIN CANISTER
DAY PERFORMED: 13TH DECEMBER 2012
DUE DATE: TWENTIETH DECEMBER 2012
SECTION: a couple of
GROUP NUMBER: 6
a) MUHAMAD HADI BIN MOHAMED RADZI (ME087932)
b) THINES A/L MURUGAN(ME086895)
c) MUHAMMAD HASRUL RUBBISH BIN ROSLI (ME087000)
d) HAIZUM AMALINA BINTI A. WAHID (ME087898)
LAB INSTRUCTOR: MADAM NOLIA HARUDIN
TABLE OF CONTENT
Number | Content| Page
1 ) | Brief summary / Abstract| 3
installment payments on your | Statement of Goal / Advantages / Objectives| 4| 3. | Theory | 4-10
4. | Equipment / Description of Experimental Apparatus| 11-13| your five. | Procedure| 14-15
6th. | Data and Observations| 16-17
several. | Evaluation and Outcomes * Desk * Test Calculations 2. Graph| 18-21| 8. | Discussions | 22
9. | Results | twenty-three
10. | References | 23
11. | Appendices|
Generally, this kind of experiment is performed to find the worth of Small Modulus beneath circumferential condition of stress, theory strains and Poisson's proportion. Software called SM1007 is usually introduced with this experiment to assist students in locating the value of Young's Modulus, Poisson's ratio and principle pressures required. The cylinder in open ends condition does not have any end constraint and therefore the longitudinal component of tension will be zero, but there will be some tension in this course due to the Poisson effect.
In this experiment all of us discussed the stresses in thin cyndrical tube and derive formulas relating the strains in the walls of the tube and the gage pressure l in the liquid they have. In the case of a cylindrical ship of inside radius r and width t, all of us obtained the next expression to get the hoop pressure H as well as the longitudinal anxiety L. Mohr's circle offers an alternative approach, based on basic geometric factors, for the analysis of the transformation of plane tension.
Thin-walled pressure boats provide an important application of the analysis of plane tension. Since their walls give litter resistance from bending, it can be assumed the internal forces exerted on a given area of wall are tangent to the surface in the vessel. The resulting tensions on an element of wall will thus end up being contained in a plane tangent to the surface of the boat. From the data collected, Poisson's Ratio can be calculated. Because from the theory axial strain applied to a cylinder, oblicuo strain will occur. As it is not possible to measure all strains, these have to be computed on the basis of minor conditions. Primary stress with the surface must zero, longitudinal stress is definitely constant above the radius would be the marginal conditions to obtain the option.
STATEMENT OF PURPOSE/INTRODUCTION/OBJECTIVE:
* To determine the circular stress under open condition and research of mixed and circumferential stress.
a) Sophisticated Stress Program
The blueprints in the figure below symbolize a) the tension and b) the causes acting after an element of material under the actions of two-dimensional stress system.
Supposing b) to become вЂwedge' of material of device depth plus the side STOMACH to be of unit length: Resolving along ПѓОё gives:
ПѓОё = 12 (Пѓy + Пѓx) + 12 (Пѓy -- Пѓx)cos2Оё + П„sin2Оё вЂ¦вЂ¦. 1
Fixing along П„Оё will give:
П„Оё = 12 (Пѓy - Пѓx)sin2Оё -- П„cos2Оё вЂ¦вЂ¦.. 2
Via equation two it can be found that there are values for at the for which П„Оё is actually zero and the aeroplanes on which the shear aspect is no are called вЂPrincipal Planes'. To get equation 2: П„ = 12 (Пѓy - Пѓx)tan2Оё вЂ¦вЂ¦.. a few
This will provide two principles of 2Оё differing by simply 180Лљ and, therefore , two values of Оё varying by 90Лљ. This implies that Principal Aeroplanes are two planes for right aspects to each other.
Through the diagram over:
sin2Оё =В±2П„(Пѓy- Пѓx)2+4П„2 вЂ¦вЂ¦4
cos2Оё =В±(Пѓy- Пѓx)2(Пѓy- Пѓx)2+4П„2 вЂ¦вЂ¦5
The stresses on the primary planes happen to be normal to these planes and are called principal stresses.
Coming from equation one particular and...