107_Problem CHAPTER 9

107_Problem CHAPTER 9 - PROBLEM 9.91 Using Mohr's circle,...

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PROBLEM 9.91 Using Mohr’s circle, determine for the quarter ellipse of Problem 9.67 the moments of inertia and the product of inertia with respect to new axes obtained by rotating the x and y axes about O ( a ) through o 45 counterclockwise, ( b ) through o 30 clockwise. SOLUTION From Problem 9.79: 4 8 x I a π = 4 2 y I a = Problem 9.67: 4 1 2 xy I a = The Mohr’s circle is defined by the diameter XY , where 44 4 4 11 , and 82 2 2 Xa a Ya a ππ    Now () 4 4 ave 5 0.98175
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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