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

2020
Views:

23

Pages:

1
Author:

omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 103. (a) Have ΣF : − WC − WD − WE = R ∴ R = − 200 lb − 175 lb − 135 lb = − 510 lb or R = 510 lb Have ΣM A : − ( 200 lb )( 4.5 ft ) − (175 lb )( 7.8 ft ) − (135 lb )(12.75 ft ) = − R ( d ) ∴ − 3986.3 lb ⋅ ft = ( − 510 lb ) d or d = 7.82 ft (b) For equal reactions at A and B, The resultant R must act at midspan. From L ΣM A = − R   2 ∴ − ( 200 lb )( 4.5 ft ) − (175 lb )( 4.5 ft + a ) − (135 lb )( 4.5 ft + 2.5 a ) = − ( 510 lb )( 9 ft ) or 2295 + 512.5 a = 4590 and a = 4.48 ft .

COSMOS Chapter 3 Solution 103

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