Civil Engineering Reference
In-Depth Information
3kN
7kN
8kN
30
°
45
°
E
A
B
C
D
4m
6m
5m
5m
F
IGURE
P.3.2
P.3.3
Draw dimensioned sketches of the diagrams of normal force, shear force and
bending moment for the beam shown in Fig. P.3.3.
Ans. N
AB
=
N
BC
=
N
CD
=
0,
N
DE
=−
6kN.
S
A
=
0,
S
B
(in AB)
=+
10 kN,
S
B
(in BC)
=−
10 kN
.
S
C
=−
4kN,
S
D
(in CD)
=−
4kN,
S
DE
=+
4kN.
M
B
=−
25 kNm,
M
C
=−
4kNm,
M
D
=
12 kNm.
3
10 kN
4
5
2 kN/m
E
A
B
C
D
5m
3m
4m
3m
F
IGURE
P.3.3
P.3.4
Draw shear force and bendingmoment diagrams for the beamshown inFig. P.3.4.
Ans. S
AB
=−
W
,
S
BC
=
0,
S
CD
=+
W
.
M
B
=
M
C
=
WL
/
4.
Note zero shear and constant bending moment in central span.
W
W
A
B
C
D
L
/4
L
/2
L
/4
F
IGURE
P.3.4
P.3.5
The cantilever AB shown in Fig. P.3.5 carries a uniformly distributed load of
5 kN/m and a concentrated load of 15 kN at its free end. Construct the shear force and
bending moment diagrams for the beam.
Ans. S
B
=−
15 kN,
S
C
=−
65 kN.
M
B
=
0,
M
A
=−
400 kNm.
