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a uniform horizontally distributed load of intensity 18 kN/m. Calculate the normal
force, shear force and bending moment at the point D.
Ans
.91
.
2 kN (compression), 9
.
0 kN, 209
.
8 kNm (sagging).
30 kN/m
18 kN/m
C
D
5m
A
B
4m
9m
3m
F
IGURE
P.6.4
P.6.5
Draw normal force, shear force and bending moment diagrams for the loaded
half of the three-pinned arch shown in Fig. P.6.5.
Ans
.
N
BD
=
26
.
5 kN,
N
DE
=
19
.
4 kN,
N
EF
=
N
FC
=
15 kN (all compression).
S
BD
=
5
.
3 kN,
S
DE
=−
1
.
8 kN,
S
EF
=
2
.
5 kN,
S
FC
=−
7
.
5 kN.
M
D
=
11
.
3kNm,
M
E
=
7
.
5kNm,
M
F
=
11
.
3 kNm (sagging).
1.5 m 1.5 m 1.5 m
10 kN 10 kN
CF
E
10 kN
D
3m
A
B
3m
3m
3m
3m
F
IGURE
P.6.5
P.6.6
Calculate the components of the support reactions at A and D in the three-
pinned arch shown in Fig. P.6.6 and hence draw the bending moment diagram for the
member DC; draw the diagram on the tension side of the member. All members are
1
.
5m long.
