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

2020
Views:

279

Pages:

1
Author:

Lily Callahan

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 95. 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 Now I ave = 1 I x + I y = 0.3095 × 106 mm 4 2 ( ) 2 and R=  Ix − I y  2   + I xy 2   = 0.21463 × 106 mm 4 Then and  −2 ( −0.1596 )  2θ m = tan −1   = −48.04°  0.166 − 0.453  α + 90° − 2θ = 90°; α = 2θ m Then I x′ = I ave − R sin α = ( 0.3095 − 0.21463sin 48.04° ) × 106 mm 4 = 0.14989 × 106 mm 4 or I x′ = 0.1499 × 106 mm 4 and I y′ = I ave + R sin α = ( 0.3095 + 0.21463sin 48.04° ) × 106 mm 4 = 0.46910 × 106 mm 4 or I y′ = 0.4690 × 106 mm 4 and I x′y′ = R cos α = 0.21463cos 48.04° = 0.1435 × 106 mm 4 or I x′y′ = 0.1435 × 106 mm 4