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FIGURE P5.4
Beam with multiple loadings.
5.5 Find the state variables (deflection, slope, shear force, and bending moments) along
th
e beam of Fi
g. P
5.5. Let
L
2000 cm
4
,
E
207 GN/m
2
,
p
0
=
2m,
I
=
=
=
1 kN/m,
=
=
P
3 kN, and
M
2 kNm.
Partial Answer:
x
(
m
)w(
mm
)
θ (
rad
)
V
(
N
)
M
(
Nm
)
0
0
0
800
−
183
.
3
10
−
4
1
0
0
.
1208
×
4000
−
1883
.
0
2
0
.
0644
0
3000
1617
.
0
FIGURE P5.5
Beam with guided end and in-span support.
5.6 Find the responses along the beam of Fig. P5.6.
Partial Answer:
x
(
m
)w(
mm
)
θ (
rad
)
V
(
N
)
M
(
Nm
)
10
−
3
0
1
.
1470
0
.
2523
×
0
0
10
−
3
5
0
0
.
1608
×
5067
−
37 500
10
−
4
11
−
0
.
2305
−
0
.
4823
×
67
.
34
−
13 100
10
−
3
14
0
−
0
.
1053
×
20 680
−
12 890
24
0
0
−
29 320
−
56 050
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