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3.7 Compute the vertical displacement of point
c
of the beam, tie rod system of Fig.
P3.7. Both members are made of steel. Neglect the effects of shear deformation. Also,
determine the midpoint deflection and find the slope at 2.5 ft from the left end.
FIGURE P3.7
Beam with tie rod.
Answer:
0.08 in., 0.006 in., 0.0000167 radian clockwise
3.8
Co
mpute the
d
eflection of the beam of Fig. 3.3 at
L
/
4 distance from the left end. Let
10
6
480 in.
4
P
=
1000 lb,
M
0
=
300 lb-in.,
L
=
110 in.,
E
=
11
(
)
psi, and
I
=
Answer:
0.053 in.
3.9 Find the vertical and horizontal movement of point
a
of the pin-connected truss of
Fig. P3.9. Assume no members will buckle. Tension members are 1 in.
2
in area while
compression members are 1.5 in.
2
10
6
Also,
E
=
30
(
)
psi.
FIGURE P3.9
Truss.
Answer:
0.24 in., 0.07 in.
3.10 Determine the vertical displacement of point
d
of the frame shown in Fig. 3.6a.
Hint:
Apply a unit load in the direction of the desired displacement.
Pa
3
Answer:
V
d
vertical
=
/(
2
EI
)
3.11 Find the horizontal, out-of-plane displacement of point
d
of the frame of Fig. P3.11.
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