Advanced Methods of Structural Analysis

Problems 107

4.10.Three-hinged symmetrical arch is loaded by distributed loadqas shown in
Fig.P4.10.
Find equation of the rational axis of the arch.

A

C

B

q

l/ 2

f

x

y

Fig. P4.10

Ans.yD3f

x

l



1 

4

3

x^2

l^2



4.11.Three-hinged symmetrical arch is loaded by the radial distributed loadq.
Show that the rational axis of the arch presents the circle.