COSMOS Chapter 3 Solution 125 | Michigan State University - Edubirdie

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

2024
Views:

109

Pages:

1
Author:

heleboelful

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 125. Have ΣF : FA + FB + FC + FD = R − (116 kips ) j − ( 470 kips ) j − ( 66 kips ) j − ( 28 kips ) j = R ∴ R = − ( 680 kips ) j R = 680 kips Have ΣM x : FA ( z A ) + FB ( z B ) + FC ( zC ) + FD ( z D ) = R ( z E ) (116 kips )( 24 ft ) + ( 470 kips )( 48 ft ) + ( 66 kips )(18 ft ) + ( 28 kips )(100.5 ft ) = ( 680 kips )( zE ) ∴ z E = 43.156 ft or z E = 43.2 ft Have ΣM z : FA ( x A ) + FB ( xB ) + FC ( xC ) + FD ( xD ) = R ( xE ) (116 kips )( 30 ft ) + ( 470 kips )( 96 ft ) + ( 66 kips )(162 ft ) + ( 28 kips )( 96 ft ) = ( 680 kips )( xE ) ∴ xE = 91.147 or xE = 91.1 ft .

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