COSMOS: Complete Online Solutions Manual Organization System
Chapter 6, Solution 10.
FBD Truss:
ΣFx = 0: H x = 0
By symmetry: A y = H y = 4 kips
FAC = FCE and FBC = 0 W
by inspection of joints C and G :
FEG = FGH and FFG = 0 W
also, by symmetry FAB = FFH , FBD = FDF , FCE = FEG and FBE = FEF
Joint FBDs:
Joint A:
FAB FAC 3 kips
=
=
5
4
3
FAB = 5.00 kips C W
so
FAC = 4.00 kips T W
FFH = 5.00 kips C W
and, from above,
and
Joint B:
FCE = FEG = FGH = 4.00 kips T W
4
4
10
(5 kips) − FBE −
FBD = 0
5
5
109
ΣFx = 0:
ΣFy = 0:
3
3
3
FBD + FBE = 0
( 5 kips ) − 2 −
5
5
109
so
FBD = 3.9772 kips, FBE = 0.23810 kips
FBD = 3.98 kips C W
or
Joint E:
FBE = 0.238 kips C W
FDF = 3.98 kips C W
and, from above,
FEF = 0.238 kips C W
ΣFy = 0 :
FDE − 2
3
(0.23810 kips) = 0
5
FDE = 0.286 kips T W
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
.
COSMOS Chapter 6 Solution 10
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