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

2023
Views:

118

Pages:

2
Author:

Quintin Ware

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 54. Angle: L3 × 3 × 1 : 4 A = 1.44 in 2 L6 × 4 × 1 : 2 A = 4.75 in 2 Plate: I x = I y = 1.24 in 4 I x = 6.27 in 4 I y = 17.4 in 4 A = ( 27 in.)( 0.8 in.) = 21.6 in 2 Ix = 1 ( 0.8 in.)( 27 in.)3 = 1312.2 in 4 12 Iy = 1 ( 27 in.)( 0.8 in.)3 = 1.152 in 4 12 continued COSMOS: Complete Online Solutions Manual Organization System X =0 Centroid: Y = or ( ( ) ( ) 2  1.44 in 2 ( 27 in. − 0.84 in.)  + 2  4.75 in 2 ( 0.987 in.)  + 21.6 in 2 (13.5 in.)    Y =  2 1.44 in 2 + 4.75 in 2 + 21.6 in 2 = Now ) ΣAy ΣA ( ) 376.31 in 3 = 11.0745 in. 33.98 in 2 I x = 2 ( I x )1 + 2 ( I x )3 + ( I x )2 2 2 = 2 6.27 + 4.75 (11.075 − 0.987 )  in 4 + 2 1.24 + 1.44 ( 27 − 0.842 − 11.075 )  in 4     2 + 1312.2 + 21.6 (13.5 − 11.075 )  in 4   = 2 ( 489.67 ) in 4 + 2 ( 328.84 ) in 4 + 1439.22 in 4 = 3076.24 in 4 or I x = 3076 in 4 Also ( I y ) = 2 ( I y )1 + 2 ( I y )3 + ( I y )2 2 2 = 2 17.4 + 4.75 ( 0.4 + 1.99 )  in 4 + 2 1.24 + 1.44 ( 0.4 + 0.842 )  in 4 + 1.152 in 4     = 2 ( 44.532 ) in 4 + 2 ( 3.4613) in 4 + 1.152 in 4 = 97.139 in 4 or I y = 97.1 in 4