Handout23 - M ohr's Circle Examples M ohr's Circle 3000...

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Mohr's Circle Examples Mohr's Circle 3000 Example 1: 2000 Given: Element with principal stresses on horizontal and vertical planes Find: 1000 Stresses on a plane rotated 30 degrees from the horizontal 0'1 = 4000 psi 't, psf 0') = 1000 pif -3000 0'1 = 4000 psi 0'+0' ( . 0'-0') 0' = 1 3 + cos60 - 1 2 ) u +u Center of circle = _I __ 3 = 2500 psf 2 0' = 2500 + (0.5 -1500) = 3250psi ct 1 u 3 Radius ofthe circle = - = 1500 psf 2 0'-0') l' = sin 60· - 1 2 ) = 0.866 -1500 = 1299 psi (
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Mohr's Circle Examples Mohr's Circle Example 2: Given: Element with principal stress on planes at 45 degrees from horizontal and vertical Find: Stresses on a plane rotated 30 degrees from the major principal plane 't, psf 3000 2000 1000 -1000 -2000 -3000 0'+0' ( . a-a) 0':::: 1 2 3 + cos60 - 1 2 3 0' :::: 2500 + (0.5 - 1500) = 3250 psi Center of circle = 0"1 + 0"3 = 2500 psf 2 0"1 -0'3) l' = sm60 - 2 :::: 0.866-1500 = 1299psJ Radius ofthe circle 0") - 0"3 = 1500 psf ( 2
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Mohr's Circle Examples Mohr's Circle
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Handout23 - M ohr's Circle Examples M ohr's Circle 3000...

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