column buckling (week 4)

For the steel rod the average load for a 18

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bar. For the steel rod, the average load (for a 1/8” deflection) was 43.5 lbs, while the aluminum tube needed 166.8 lbs to achieve the same deflection. This can be explained by the fact that the aluminum tube has a lower modulus of elasticity, which means less force is needed to alter the its shape. The results showed that the measured critical buckling load fills within the values of the hinged-hinged and fixed-fixed calculations. Analysis: The critical buckling load and direction are dependent of various aspects. Materials have different moduli of elasticity, which is the ratio of stress applied to the change in the shape of the given material. This is significant to the critical buckling load value because as the modulus of elasticity increases, the ductility decreases. The cross sectional area of a given piece of material also turns out to be of importance. As seen in the calculations (on the Excel spreadsheet), the values for the inertia are dependent on the dimensions of the cross section. In this experiment, the value for the steel rod’s inertia was nearly 10 times greater with respect to the y-direction as opposed to the x-direction. This in turn changed the value of the critical buckling load significantly. Also, if the rod had a larger cross sectional area, it would have been able to handle a greater load before deflecting. The direction of the deflection is greatly dependent of the

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• Spring '10
• Dr.Doe
• STEVENS HONOR, critical buckling load, Design Laboratory III, Alex Fidalgo Stevens Institute of Technology, 43.5 lbs, 166.8 lbs

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