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Unformatted text preview: [IMAGE] Consider the sketch on the right; half the arc is 400 1/3 foot and half the chord is 400 feet long, R is the radius of the circle containing the arc and Q is the central angle cutting off half the arc. The length of half the arc is given by 400 1/3 = R sin(Q) while the length of half the chord is given by 400 = R Q . Solving for R and setting the equations equal gives sin(Q) / Q = (400 1/3) / 400, which one can solve numerically to get Q = .0706900643447 (approximately). The height of the curved bar above the straight bar is R- x , where x is the distance from the center of the circle to the middle of the straight bar, so x = 400 / tan(Q). Doing the arithmetic gives a deflection of approximately 14.1439032171 feet or about 14 feet 2 inches. this page....
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This note was uploaded on 03/01/2010 for the course MATH 301 taught by Professor Albertodelgado during the Spring '10 term at Bradley.
- Spring '10