Lab Report
Spring 2011
Mechanical and Aerospace Engineering Department
Polytechnic Institute of New York University
ME6213
Introduction to Solid Mechanics
1.Buckling of Columns 2.Deflection of Curved Beams
Date of Experiment:_______
Date of Lab Report Submission: _______
This lab report submission is approved by: Amith Deshmukh | Signature:_________ | Bhavesh Joshi | Signature:_________ | Anoop Kumar | Signature:_________ | Sriniket Srinivas Achar | Signature:_________ |
Experiment 1 – Buckling of Columns
Introduction
When a small compressive load is applied on an ideal column, it deflects laterally. And, when this load is removed, the column returns to its original position due to the elastic restoring forces. As the load is increased to a certain a value Pcr and then removed, the restoring forces are incapable to return the column to its original position but maintain equilibrium about the displaced lateral position. At this position there is displacement without the increase in the applied load. This critical load is termed as Buckling Load and this phenomenon is called as Buckling.
The formula to calculate Buckling load is given by,
Where,
E – Young’s Modulus,
I – Area Moment of Inertia,
Le – Effective length of the column, which depends on the boundary conditions.
For Pinned-Pinned condition, Le = L
For Fixed- Pinned condition, Le = 0.7L
For Fixed-Fixed condition, Le = 0.5L
Where, L – Length of the column
In this experiment an attempt is made to calculate Critical Buckling Load of a column experimentally and theoretically with different boundary conditions. These values will then be compared.
Equipment and Procedure
Equipment
1. Column Buckling Machine 2. Test Specimen: Three Metal Beams. In this experiment, steel beams of known length were used. The modulus of elasticity for the material tested was predefined. The thickness and width of the beams were found to be 2mm and 20mm respectively 3. Calipers and Load
Mechanical and Aerospace Engineering Department
Polytechnic Institute of New York University
ME6213
Introduction to Solid Mechanics
1.Buckling of Columns 2.Deflection of Curved Beams
Date of Experiment:_______
Date of Lab Report Submission: _______
This lab report submission is approved by: Amith Deshmukh | Signature:_________ | Bhavesh Joshi | Signature:_________ | Anoop Kumar | Signature:_________ | Sriniket Srinivas Achar | Signature:_________ |
Experiment 1 – Buckling of Columns
Introduction
When a small compressive load is applied on an ideal column, it deflects laterally. And, when this load is removed, the column returns to its original position due to the elastic restoring forces. As the load is increased to a certain a value Pcr and then removed, the restoring forces are incapable to return the column to its original position but maintain equilibrium about the displaced lateral position. At this position there is displacement without the increase in the applied load. This critical load is termed as Buckling Load and this phenomenon is called as Buckling.
The formula to calculate Buckling load is given by,
Where,
E – Young’s Modulus,
I – Area Moment of Inertia,
Le – Effective length of the column, which depends on the boundary conditions.
For Pinned-Pinned condition, Le = L
For Fixed- Pinned condition, Le = 0.7L
For Fixed-Fixed condition, Le = 0.5L
Where, L – Length of the column
In this experiment an attempt is made to calculate Critical Buckling Load of a column experimentally and theoretically with different boundary conditions. These values will then be compared.
Equipment and Procedure
Equipment
1. Column Buckling Machine 2. Test Specimen: Three Metal Beams. In this experiment, steel beams of known length were used. The modulus of elasticity for the material tested was predefined. The thickness and width of the beams were found to be 2mm and 20mm respectively 3. Calipers and Load
References: Advanced Mechanics of Materials – Arthur P Boresi and Richard J Schmidt, Sixth edition 2003, John Wiley and sons