COSMOS: Complete Online Solutions Manual Organization System
Chapter 6, Solution 11.
FBD Truss:
ΣFx = 0:
Ax = 0
ΣM G = 0:
3a Ay − 2a (3 kN) − a (6 kN) = 0
A y = 4 kN
by inspection of joint C,
FAC = FCE and FBC = 0 W
by inspection of joint D,
FBD = FDF and FDE = 6.00 kN C W
Joint FBDs:
Joint A:
FAC FAB 4 kN
=
=
21
29
20
FAB = 5.80 kN C W
FAC = 4.20 kN C W
from above,
Joint B:
ΣFy = 0:
20
20
( 5.80 kN ) − 3 kN − FBE = 0
29
29
FBE =
ΣFx = 0:
FCE = 4.20 kN C W
29
20
FBE = 1.450 kN T W
21
29
kN − FBD = 0
5.80 kN +
29
20
FBD = 5.25 kN C W
FDF = 5.25 kN C W
from above,
Joint F:
ΣFx = 0:
5.25 kN −
21
FEF = 0
29
FEF = 7.25 kN T W
ΣFy = 0:
FFG −
20
(7.25 kN) − 1 kN = 0
29
FFG = 6.00 kN C W
by inspection of joint G,
Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr.,
Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell
.
FEG = 0 W
COSMOS Chapter 6 Solution 11
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