COSMOS: Complete Online Solutions Manual Organization System
Chapter 4, Solution 8.
Free-Body Diagram:
(a)
ΣFx = 0:
ΣM B = 0:
Ax = 0
− (12 m ) Ay + (12 m − a )( 3.9 kN ) + (12 − 2.6 ) m − a ( 6.3 kN )
a
a
+ 2.8 m + ( 7.9 kN ) + ( 7.3 kN ) = 0
2
2
or
(12 m ) Ay
= 128.14 kN ⋅ m − (10.2 kN ) a + (15.2 kN ) a
2
(12 m ) Ay
= 128.14 kN ⋅ m − ( 2.6 kN ) a
Thus Ay is maximum for the smallest possible value of a:
a =0
(b) The corresponding value of Ay is
( Ay )max = 10.6783 kN, and
ΣFy = 0:
or A = 10.68 kN
or B = 14.72 kN
10.6783 kN − 3.9 kN − 6.3 kN − 7.9 kN − 7.3 kN + By = 0
By = 14.7217 kN
COSMOS Chapter 4 Solution 8
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