University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2019
Views:

42

Pages:

1
Author:

MoGhoadoAnotozj12

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 89. From Problems 9.74 and 9.83 I x = 0.166 × 106 mm 4 I y = 0.453 × 106 mm 4 I xy = −0.1596 × 106 mm 4 1 I x + I y = 0.3095 × 106 mm 4 2 ( Then ) 1 I x − I y = −0.1435 × 106 mm 4 2 ( Equation (9.25): ) tan 2θ m = − 2 I xy Ix − I y =− ) ( 0.166 − 0.453) × 106 2θ m = −48.041° Then ( 2 −0.1596 × 106 and = −1.1122 131.96° θ m = −24.0° and 66.0° ! or Also, Equation (9.27): I max, min ( Ix + I y ) ± = 2 2  Ix − I y  2   + I xy 2   = 0.3095 × 106 ± × 106 ) 2 = ( 0.3095 ± 0.21463) × 106 mm 4 or I max = 0.524 × 106 mm 4 ! I min = 0.0949 × 106 mm 4 ! By inspection, the a axis corresponds to I min and the b axis corresponds to I max .

COSMOS Chapter 9 Solution 89

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