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HW21-Solution

# HW21-Solution - HW21 Solution Terry Cooke Cal Poly San Luis...

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HW21 - Solution Terry Cooke: Cal Poly San Luis Obispo

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Chapter 5, Solution 36 For the element (EL) shown At 3 3 , : or h x a y h h ka k a Then 1/3 1/3 a x y h Now 1/3 1/3 1/3 1/3 1 1 2 2 EL EL a dA xdy y dy h a x x y h y y Then 1/3 4/3 1/3 1/3 0 0 3 3 4 4 h h a a A dA y dy y ah h h and 1/3 1/3 5/3 2 1/3 1/3 2/3 0 0 1/3 7/3 2 1/3 1/3 0 0 1 1 3 3 2 2 5 10 3 3 7 7 h h EL h h EL a a a x dA y y dy y a h h h h a a y dA y y dy y ah h h Hence 2 3 3 : 4 10 EL xA x dA x ah a h 2 5 x a 2 3 3 : 4 7 EL yA y dA y ah ah 4 7 y h
Chapter 5, Solution 40 At 2 2 0, (0 ) or x y b b b k a k a Then 2 2 ( ) b y x a a Now 2 2 ( ) 2 2 EL EL x x y b y x a a and 2 2 ( ) b dA ydx x a dx a Then 3 2 2 2 0 0 1 ( ) 3 3

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HW21-Solution - HW21 Solution Terry Cooke Cal Poly San Luis...

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