COSMOS Chapter 3 Solution 126 | Michigan State University - Edubirdie

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

2019
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423

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1
Author:

todaviaaquik4l

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 126. Have ΣF : FB + FC + FD + FE = R − ( 470 kips ) j − ( 66 kips ) j − ( 28 kips ) j − (116 kips ) j = R ∴ R = − ( 680 kips ) j Have ΣM x : FB ( z B ) + FC ( zC ) + FD ( z D ) + FE ( z E ) = R ( z B ) ( 470 kips )( 48 ft ) + ( 66 kips )(18 ft ) + ( 28 kips )(100.5 ft ) + (116 kips )( b ) = ( 680 kips )( 48 ft ) ∴ b = 52.397 ft or b = 52.4 ft Have ΣM z : FB ( xB ) + FC ( xC ) + FD ( xD ) + FE ( xE ) = R ( xB ) ( 470 kips )( 96 ft ) + ( 66 kips )(162 ft ) + ( 28 kips )( 96 ft ) + (116 kips )( a ) = ( 680 kips )( 96 ft ) ∴ a = 58.448 ft or a = 58.4 ft .

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