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categoryهندسة مدنية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
1.5 PROBLEMS
REVIEW OF EQUILIBRIUM; DETERMINATION OF
INTERNAL RESULTANTS
Problems 1.4-1 through 1.4-6. In these truss equilib-
rium problems, adopt the sign convention for axial
force that a tensile force is positive. That is, on your
free-body diagrams, show all unknown forces F, as
tensile forces. Then, a force that is compressive will be
negative.
Prob. 1.4-1. The pin-jointed truss in Fig. P1.4-1 supports a
load of P-2 kips at joint C. Determine the axial forces F
through Fs in the truss members.
determine the axial force in each of the following mem-
bers: F₁ (in member AB), F, (in member BC), and F, (in
member CD).
(1)
0.6 m
(2)
(3)
I KN
0.7 m
0.4 m
(1)
(3)
(2)
6ft
(4)
(5)
D
C
8 ft.
6ft
P1.4-1 and P2.2-12
Prob. 1.4-2. Each member in the pin-jointed planar truss in
Fig. P1.4-2 is 6 ft long. The truss is attached to a firm base by
a frictionless pin at A. and it rests on a roller support at B.
For the loading shown, (a) determine the reactions at A and
B, and (b) determine the force in each of the three members
labeled (1) through (3).
(3)
3 kips
0.6 m
1.2m
P1.4-3
Prob. 1.4-4. For the pin-jointed truss in Fig. P1.4-4. (a) deter-
mine the reactions at the supports at A and C; and (b) deter-
mine the axial force in each of the following members: F, (in
member AB), F, (in member BC), and F, (in member CD).
Express all of your answers in terms of the weight W. Note:
CD and DE are two separate members that are pinned to
member BD at D.
(1)
10 ft
(2)
10 ft
(3)
D
W
(1)
76 kips
P1.4-2
Prob. 1.4-3. For the pin-jointed truss in Fig. P1.4-3. (a) de-
termine the reactions at the supports at A and C, and (b)
8 ft
8A-
8 ft-
P1.4-4
Prob. 1.4-5. The pin-jointed truss in Fig. P1.4-5 supports
equal vertical loads P at joints B, C, and D. (a) Determine
the reactions at the supports A and E, and (b) use the
method of sections to determine the forces in the following
17
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