| Practice Problem 10-2 |
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Given: An acrylic plastic meter stick has a cross-section of 8 mm by 24 mm, and Young's modulus of 3.1 GPa. Assume the ends are fixed. Req'd: Determine the critical buckling load, Pcr [N]. |
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Solution: From the Euler formula for buckling, the critical load for a fixed-fixed element is: Pcr = (p2EI) / (L/2)2 For this case E = 3.1 GPa, L = 1 m, and The critical buckling load is then: Pcr = p2(3.1 GPa)(1024 mm4) / (0.5 m)2 = 12.7 N |
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