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

2023
Views:

383

Pages:

1
Author:

shinsino45r

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 7. Free-Body Diagram: (a) a = 2.9 m ΣFx = 0: ΣM B = 0: Ax = 0 − (12 m ) Ay + (12 − 2.9 ) m  ( 3.9 kN ) + (12 − 2.9 − 2.6 ) m  ( 6.3 kN ) + ( 2.8 + 1.45 ) m  ( 7.9 kN ) + (1.45 m )( 7.3 kN ) = 0 or ΣFy = 0: or Ay = 10.0500 kN or A = 10.05 kN or B = 15.35 kN 10.0500 kN − 3.9 kN − 6.3 kN − 7.9 kN − 7.3 kN + By = 0 By = 15.3500 kN (b) a = 8.1 m ΣM B = 0: − (12 m ) Ay + (12 − 8.1) m  ( 3.9 kN ) + (12 − 8.1 − 2.6 ) m  ( 6.3 kN ) + ( 2.8 + 4.05 ) m  ( 7.9 kN ) + ( 4.05 m )( 7.3 kN ) = 0 or ΣFy = 0: or Ay = 8.9233 kN or A = 8.92 kN 8.9233 kN − 3.9 kN − 6.3 kN − 7.9 kN − 7.3 kN + By = 0 By = 16.4767 kN or B = 16.48 kN