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Buckling Lab

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Submitted By morque618
Words 668
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Scope:
In this lab we studied Buckling. Buckling is one type of failure mode which is related to stability. Buckling is the result of axial compression resulting in a lateral deflection. In this experiment five steal columns with different lengths 25-5 “in” are being under axial compression forming buckling. Buckling can occur in any compressive structure and should always be considered in design.
Significance:
Columns are one type of the commonly used structure in bridges and building to support. However whenever these columns are compressed with axial load, they tend to buckle. The shorter the column the better it is when it comes to buckling. Longer columns tend to bulk faster and under a lower load. An extensive buckling may results into a fracture. Engineers prefer to use columns due to their lightweight and high strength, however, buckling is an important failure to look at whenever there is any structure with an axial load applied on it.
Apparatus Required:
Tools and materials used in this experiment are:
1. Baldwin Universal Testing Machine with 60, 0000 lb. capacity
2. Ruler.
3. Micrometer or Caliper.
4. Specimens: steel (C1018 hot rolled or ASTM A36) rods with nominal 0.5 inch diameter of with lengths of 5, 10, 15, 20 and 25 inches. (Nominal properties: E = 29500 ksi, sy = 36,000 psi)
5. Lubricating grease for ends of specimens.

Procedure:
First the diameter and the length of the sample specimens using a ruler for length and micrometer or caliper for diameter were measured. With the – Baldwin Universal Testing Machine with 60, 0000 lb. capacity – running, the specimen were fixed into the jaw after they have been lubricated with grease. With the machine being turned on, the compression of the bar was monitored until the specimens started to buckle. And then the machine was turned off and the bar was taken away from the machine, and bulking load was observed. The same process happened to the other four specimens

Symbols and Formulas: * A = Area =πd2/4 * Limiting value of L/k = * E = Modulus of Elasticity = * Moment of inertia: I =πd4/4 * Radius of gyration: k = I/A * Slenderness Ratio = L/k < 80 * P = Load *  = engineering stress = force/ area

Discussion:
Based on the results we got in this experiment we can see the correlation between the experimental values and the theoretical values obtained from equations. We can see from the data and the graph that the experimental values are close to the results that we got using parabolic equation, however it was way smaller than the results obtained from Euler’s equation. Based on this we can say that parabolic equation is recommended when it comes to slender columns. During the experiment the type of failure that was observed was buckling for all specimens, none of them fractured, moreover, the longer the column the faster it buckle. The reason why Euler’s theoretical results are far away is that we failed in finding the exact young’s modulus.
Conclusions:
The experimental Objectives were fulfilled was to know how much load each of these steel bars can take before they buckle, and whether or not the experimental results are close to the theoretical results obtained by using Euler’s and Parabolic equations. Moreover, we got to know that the shorter the bar the higher the resistance to buckling. Errors exist in every practical experiment, for this lab there were some noticeable errors. The measurements of length are not reliable since they were taken using basic measurement equipment “ruler”. Another point to notice is rounding up the numbers in the data sheet. An additional error that happened was shown in the graph since the exact Young’s modules was not shown, however, the results we got was close to the results obtained from parabolic equation. There were some personal observations in this experience such as for some bars the machine was stopped once the buckling started to appear, however in some other bars the buckling is clearly visible, as shown in the pictures in the appendix.
Appendices: Specimens

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