Advanced Methods of Structural Analysis

368 10 Influence Lines Method

l

l l

P= 1

0.4l

k

Fig. P10.9

10.10.A frame is subjected to fixed loadP(Fig.P10.10). The bending stiffness
for each member isEIDconst. Construct the influence line for vertical reaction
at pointA. Use this influence line for constructing the bending moment diagram.
Calculate the horizontaldisplacement at supportAand angle of rotation of rigid
joint due to fixed loadP.

P

A

a

a

0.5a

k

Fig. P10.10

Ans.

IL.RA/D

3

4



1

6



1 

x

a

 2 

2 C

x

a



C



1 

x

a

^

MkD

29

128

PaI horA D

3P a^3

128 EI

I D

3P a^2

64 EI