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

2019
Views:

366

Pages:

1
Author:

Athena Harrison

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 94. From Problems 9.75 and 9.82 I x = 0.70134 × 106 mm 4 I y = 7.728 × 106 mm 4 I xy = 1.5732 × 106 mm 4 Now I ave = 1 I x + I y = 4.2147 × 106 mm 4 2 ( ) 2 and Then and Then R=  Ix − I y  2 6 4   + I xy = 3.8494 × 10 mm 2    −2 (1.5732 )  2θ m = tan −1   = 24.12°  0.70134 − 7.728  α = 120° − 24.12° − 90° = 5.88° I x′ = I ave + R sin α = ( 4.2147 + 3.8494sin 5.88° ) × 106 mm 4 = 4.6091 × 106 mm 4 or I x′ = 4.61 × 106 mm 4 I y′ = I ave − R sin α = ( 4.2147 − 3.8494sin 5.88° ) × 106 mm 4 = 3.8203 × 106 mm 4 or I y′ = 3.82 × 106 mm 4 I x′y′ = − R cos α = −3.8494cos 5.88° = −3.8291 × 106 mm 4 or I x′y′ = −3.83 × 106 mm 4

COSMOS Chapter 9 Solution 94

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