The principle of compression test states that when a column is compressed, its l
ID: 1846898 • Letter: T
Question
The principle of compression test states that when a column is compressed, its length will decrease. The change in length is related to the load applied, the length of the member, the cross sectional area and the material the structural member is made up of. In compression, there are two type of failure: 1. Crushing, the strength failure. 2. Buckling, the stability failure.
In this experiment, three (3) ruler of different length, width and thickness were compressed. A slender long structure would buckle more than a short thick structure, when force is applied.
In order to find the determination of compressive load that is applied to a structure before it buckles is obtained from Euler
Explanation / Answer
Ruler 1:
Inertia = BH^3/12
= 0.992*0.745^3/12
= 0.0342 in^4
Pcr = (3.14^2) * (10^7) * 0.0342 / (6^2)
= 93666.2
Ruler 2:
Inertia = BH^3/12
= 1.2005*0.0815^3/12
= 5.415 * 10^(-5) in^4
Pcr = (3.14^2) * (10^7) * 5.415 * 10^(-5) / (12^2)
= 37.118
Ruler 3:
Inertia = BH^3/12
= 1.527*0.1145^3/12
= 1.91 * 10^(-4) in^4
Pcr = (3.14^2) * (10^7) * 1.91 * 10^(-4) / (18^2)
= 58.187