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FIGURE P5.16
5.19 Determine the movement of joint
a
of the truss of Chapter 3, Fig. P3.2.
5.20 Find the displacements at the joints of the truss of Chapter 3, Fig. P3.9.
5.21 Compute the displacements of joints
a
and
b
of the truss of Chapter 3, Fig. P3.13a.
Express the answer in terms of symbols.
5.22 Find the displacement of joint
b
of the truss of Chapter 3, Fig. P3.34.
5.23 The structure of Fig. P5.23 is formed of two steel rods, each 4.572 m long. All ends
are h
in
ged.
Co
mpute the axial stress in the bars and the vertical displacement at the
load
P
2258 cm
2
, and
E
207 GN/m
2
.
Let
P
=
22
.
246 kN,
A
=
3
.
=
.
Answer:
σ
=
96 MN/m
2
,
U
Zb
68
.
=
3
.
05 mm
FIGURE P5.23
Hinged rods.
5.24 Find the vertical displacement at the location of the applied force, as well as the forces
in the bars of the truss of Fig. P5.24.
Answer:
u
Z
|
at
P
=
088 in.,
p
1
5000 lb,
p
2
5000 lb
5.25 A truss is loaded as shown in Fig. P5.25. Also, element 3 is heated.
Fi
nd the dis-
placements of the joints and the forces and stresses in the bars. Let
P
0
.
=+
=−
=
1000 lb,
100
◦
F,
E
10
7
lb/in.
2
,
10
−
6
/
◦
F,
(
T
)
element 3
=+
=
1
.
0
×
α
=
1
.
0
×
=
20 in.; for bars 1,
0 in.
2
; for bars 2 and 4,
A
7071068 in.
2
3, 5, and 6,
A
=
1
.
=
0
.
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