Civil Engineering Reference
In-Depth Information
P.3.16
The cranked cantilever ABC shown in Fig. P.3.16 carries a load of 3 kN at its
free end. Draw shear force, bending moment and torsion diagrams for the complete
beam.
Ans. S
CB
=−
3kN,
S
BA
=−
3kN
M
C
=
0,
M
B
(in CB)
=−
6kNm,
M
B
(in BA)
=
0,
M
A
=−
9kNm
.
T
CB
=
0,
T
BA
=
6kNm
.
A
3 m
B
3 kN
C
2 m
F
IGURE
P.3.16
P.3.17
Construct a torsion diagram for the beam shown in Fig. P.3.17.
Ans. T
CB
=−
300Nm,
T
BA
=−
400Nm.
A
B
100 N m
C
300 N m
2 m
1 m
F
IGURE
P.3.17
P.3.18
The beam ABC shown in Fig. P.3.18 carries a distributed torque of 1Nm/mm
over its outer half BC and a concentrated torque of 500Nm at B. Sketch the torsion
diagram for the beam inserting the principal values.
Ans. T
C
=
0,
T
B
(in BC)
=
1000Nm,
T
B
(in AB)
=
1500Nm
.
