Advanced Methods of Structural Analysis

Problems 365

2 3 4

P= 1

(^1) k
Fig. P10.2
10.3.Uniform clamped–pinned beam is shown in Fig.P10.3.
(a)Construct the influence lines for reactionsRAandRB, moment at clamped
supportA, bending moment, and shear at sectionk.u D 0.4);
(b)Construct the bending moment diagram if forcePD 10 kN is placed at point
uD0:6. Use the above constructed influence lines.
A
B
P= 1
k
0.4l
ul ul
RA RB
MA
Fig. P10.3
Ans.(b)RBD4:32kN;MAD1:68lkNm
10.4.Design diagram of a frame is presented in Fig.P10.4. The relative flexural
stiffness are shown in the circle;aDbD0:5l.
1.Construct the influence line for horizontal reactionHat supportAand bending
moment at sectionk
2.Construct the bending moment diagram if forcePD 100 kN is placed at point
x=lD0:75. Use the influence line for primary unknown.
P= 1
1
2
l=10m
h=5m
B
k
A
a b
x
Fig. P10.4
Ans.HD11:718kNI RAD30:859kN;MkD95:7kN m