project - UFID 0087-1745 Note the givens description...

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UFID: 0087-1745 Note: the givens, description, assumptions and formulas for this report are given in the last pages. Calculations 1. Calculate the load factor when gust loads are present: We know: (1) and (2) Integrating (2) and solving for we get: We now plug back into (1) to get: To calculate the load factor n, we use the formulas for , and given in the instructions. First, we find as follows:
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Hence, Now we can use the value of to find and :
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When gust is present, the total load factor is calculated by adding 1g force to the incremental factor due to gust load, thus: Load factor==2.813 2. For the case of linear, elliptical and average distributions, formulate an expression for lift ‘W’ as a function of span location ‘y’ using the appropriate load factor. Give the maximum lift of each case. Linear case: Maximum lift: The equation of the line is then: Elliptical case: ¼ Area of ellipse: (3) Equation of ellipse: (4) Where in our case: a=span (b), b=, x=a point in the wing span and Solving for y in equation (4), we get:
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We assume that the area of a quarter of an ellipse is equal to one half the weight times the load factor.
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