Information Technology Reference
In-Depth Information
FIGURE P11.9
11.11 Determine the critic al load P for the stepped column of Fig. P11.11, with a varying
axial force. Assume P b
=
m P , where m is a prescribed constant of proportionality.
FIGURE P11.11
11.12 A beam column with axial force P is subject to a concentrated transverse force P 1 at
midspan
(
L
/
2
)
. If both ends are fixed, find the deflection at midspan.
12
P
EI
1 / 2
P 1 L 3
192 EI
(
2
2 cos
β β
sin
β)
L
2
Answer:
w(
L
/
2
) =
β =
β
3 sin
β
11.13 Find the critical value of P of the frame of Fig. P11.13. Use consistent geometric
stiffness matrices.
Hint:
Only the vertical bar is subject to an axial force.
Answer:
P cr
12 700 kN
FIGURE P11.13
0tofind the value of M that buckles the
11.14 For the frame of Fig. P11.14, use det K
=
frame
M cr =
Answer:
33
.
535 MNm.
11.15 Solve problem 11.14 using
(
K lin
+ λ
K geo
)
V
=
0.
Answer:
M cr
=
41
.
587 MNm.
Search WWH ::




Custom Search