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

2024
Views:

186

Pages:

1
Author:

omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 100. I x = 162.86 × 106 mm 4 From Problems 9.73 and 9.81 I y = 325.72 × 106 mm 4 I xy = 138.24 × 106 mm 4 X (162.86,138.24 ) × 106 mm 4 Define points I ave = Now Y ( 325.72, − 138.24 ) × 106 mm 4 1 1 I x + I y = (162.86 + 325.72 ) × 106 mm 4 2 2 ( ) = 244.29 × 106 mm 4 2 and R=  Ix − I y  2   + I xy = 2   2  (162.86 − 325.72 )  × 106  + 138.24 × 106  2   ( ) 2 = 160.44 × 106 mm 4 and  −2 (138.24 ) × 106  2θ m = tan −1  = 59.4999°  6  (162.86 − 325.72 ) × 10  or θ m = 29.7° counterclockwise Then ( ) I max, min = I ave ± R = 244.29 × 106 ± 160.44 × 106 mm 4 or I max = 405 × 106 mm 4 and I min = 83.9 × 106 mm 4 Note: From the Mohr’s circle it is seen that the a axis corresponds to I min and the b axis corresponds to I max .

COSMOS Chapter 9 Solution 100

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