Civil Engineering Reference
In-Depth Information
PROBLEMS
P.16.1
Determine the degrees of static and kinematic indeterminacy in the plane
structures shown in Fig. P.16.1.
Tie
(a)
(b)
(c)
(d)
(e)
F
IGURE
P.16.1
Ans.
(a)
n
s
=
3,
n
k
=
6, (b)
n
s
=
1,
n
k
=
2, (c)
n
s
=
2,
n
k
=
4, (d)
n
s
=
6,
n
k
=
15, (e)
n
s
=
2,
n
k
=
7.
P.16.2
Determine the degrees of static and kinematic indeterminacy in the space
frames shown in Fig. P.16.2.
(a)
(b)
(c)
F
IGURE
P.16.2
Ans.
(a)
n
s
=
6,
n
k
=
24, (b)
n
s
=
42,
n
k
=
36, (c)
n
s
=
18,
n
k
=
6.
P.16.3
Calculate the support reactions in the beam shown in Fig. P.16.3 using a
flexibility method.
12 kN
10 kN
A
B
C
EI
1.6 m
0.8 m
1.2 m
0.8 m
F
IGURE
P.16.3
Ans. R
A
=
3.3 kN
R
B
=
14.7 kN
R
C
=
4.0 kN
M
A
=
2.2 kNm (hogging).
