6. a) What is buckling? (3 pts) b) How did we determine the experimental critica

Question

6. a) What is buckling? (3 pts) b) How did we determine the experimental critical buckling load in the lab? 3 pts) ii. The load when lateral deflection was observed ii. The load when the load-displacement plot iv. The load corresponding to 2E1/(Leff) became horizontal Using the Euler equation, do you expect smaller critical buckling stresses for shorter columns compareod to tq longer columns? Explain. Are critical stresses predicted by the Euler equat If not, explain whether those are greater or smaller than the actual values. (4 pts) c ion accurate for shorter columns? d) What is the value of "k" for the following end-support condition? (4 pts) b. Hinged-Hinged c. Fixed-Fixed d. Fixed-Free e. Fixed-Hinged e) A test of a 12 ft. steel column (Es -29000 ksi) is to be performed in the structures lab. It has a recta cross section with the base and height equal to 2 in. and 5 in, respectively. One end of the column is as completely fixed and the other one is assumed to be a pin connection. Estimate the critical bucklin Without changing the material or cross section of the column (i.e., 2in.X 5in.), explain two met increase the load capacity of the column.(10 pts)

Explanation / Answer

a) Buckling is unwanted bending in columns which is to avoided for safe design.

b) Option 4 is correct. The load correctponding to phi2EI/Le2 is the critical buckling load.

c) Using euler equation we will get more critical stresses compared to longer columns. Euler's equation does not provide accurate results for shorter columns. These are greater than the actual values..

d)

b) For hinged hinged k vaue Theoritical is 1, recommended is 1.

c) For fixed fixed, K value Theoritical is 0.5, recommended is 0.65.

d) For fixed free, K value Theoritical is 1, recommended is 1.2.

e) For fixed hinged, K value Theoritical is 0.7, recommended is 0.8.

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