Thin Cylinder
MEMB221
MECHANICS AND MATERIALS LABORATORY
SEM 2 2012/13
EXPERIMENT 6: THIN CYLINDER
DATE PERFORMED: 13TH DECEMBER 2012
DUE DATE: 20TH DECEMBER 2012
SECTION: 2
GROUP NUMBER: 6
GROUP MEMBERS: a) MUHAMAD HADI BIN MOHAMED RADZI (ME087932) b) THINES A/L MURUGAN (ME086895) c) MUHAMMAD HASRUL BIN ROSLI (ME087000) d) HAIZUM AMALINA BINTI A. WAHID (ME087898)
LAB INSTRUCTOR: MADAM NOLIA HARUDIN
TABLE OF CONTENT
No. | Content | Page | 1. | Summary / Abstract | 3 | 2. | Statement of Purpose / Introduction / Objectives | 4 | 3. | Theory | 4-10 | 4. | Equipment / Description of Experimental Apparatus | 11-13 | 5. | Procedure | 14-15 | 6. | Data and Observations | 16-17 | 7. | Analysis and Results * Table * Sample Calculations * Graph | 18-21 | 8. | Discussions | 22 | 9. | Conclusions | 23 | 10. | References | 23 | 11. | Appendices | |
SUMMARY/ABSTRACT:
Generally, this experiment is done to find the value of Young Modulus under circumferential condition of stress, principle strains and Poisson’s ratio. Software called SM1007 is introduced in this experiment to help students in finding the value of Young’s Modulus, Poisson’s ratio and principle strains required. The cylinder in open ends condition has no end constraint and therefore the longitudinal component of stress will be zero, but there will be some strain in this direction due to the Poisson effect.
In this experiment we discussed the stresses in thin cylinder and derive formulas relating the stresses in the walls of the cylinder and the gage pressure p in the fluid they contain. In the case of a cylindrical vessel of inside radius r and thickness t, we obtained the following expression for the hoop stress H and the longitudinal stress L. Mohr’s circle provides an alternative method, based on simple geometric considerations, for the analysis of the transformation of plane stress.
Thin-walled pressure vessels provide an important application
MECHANICS AND MATERIALS LABORATORY
SEM 2 2012/13
EXPERIMENT 6: THIN CYLINDER
DATE PERFORMED: 13TH DECEMBER 2012
DUE DATE: 20TH DECEMBER 2012
SECTION: 2
GROUP NUMBER: 6
GROUP MEMBERS: a) MUHAMAD HADI BIN MOHAMED RADZI (ME087932) b) THINES A/L MURUGAN (ME086895) c) MUHAMMAD HASRUL BIN ROSLI (ME087000) d) HAIZUM AMALINA BINTI A. WAHID (ME087898)
LAB INSTRUCTOR: MADAM NOLIA HARUDIN
TABLE OF CONTENT
No. | Content | Page | 1. | Summary / Abstract | 3 | 2. | Statement of Purpose / Introduction / Objectives | 4 | 3. | Theory | 4-10 | 4. | Equipment / Description of Experimental Apparatus | 11-13 | 5. | Procedure | 14-15 | 6. | Data and Observations | 16-17 | 7. | Analysis and Results * Table * Sample Calculations * Graph | 18-21 | 8. | Discussions | 22 | 9. | Conclusions | 23 | 10. | References | 23 | 11. | Appendices | |
SUMMARY/ABSTRACT:
Generally, this experiment is done to find the value of Young Modulus under circumferential condition of stress, principle strains and Poisson’s ratio. Software called SM1007 is introduced in this experiment to help students in finding the value of Young’s Modulus, Poisson’s ratio and principle strains required. The cylinder in open ends condition has no end constraint and therefore the longitudinal component of stress will be zero, but there will be some strain in this direction due to the Poisson effect.
In this experiment we discussed the stresses in thin cylinder and derive formulas relating the stresses in the walls of the cylinder and the gage pressure p in the fluid they contain. In the case of a cylindrical vessel of inside radius r and thickness t, we obtained the following expression for the hoop stress H and the longitudinal stress L. Mohr’s circle provides an alternative method, based on simple geometric considerations, for the analysis of the transformation of plane stress.
Thin-walled pressure vessels provide an important application