ENCI 451 Lecture Notes - Microsoft Excel
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Step 1: find i, the degree of indeterminacy of the structure, then make the structure determinate. We should find by inspection i = 1, if you are not convinced, verify by: In the problem, we are told to use the fixed support as our release. Step 2: apply real external loads to the beam and acquire the erroneous displacement at where we released the structure. We can use the method of superposition to find the release displacement d1: Equation b. 3, appendix b, (ghali, neville, and brown, 2009) Equation b. 7 or b. 8, appendix b, (ghali, neville, and brown, 2009) Note: because we defined f1 as positive in the clockwise direction, d1 is negative as it is in the counter-clockwise direction with respect to the horizontal. Step 3: find the flexibility coefficient, f11 due to a unit release, f1 = 1. Note: the flexibility coefficient is a measure of how flexible the structure is when subjected to a unit release load.