Question

How three hinged arches excel over simply supported girder of same span?​

Answer 1

Answer

There are four reaction components in the three-hinged arch. One more equation

is required in addition to three equations of static equilibrium for evaluating the

four reaction components. Taking moment about the hinge of all the forces acting

on either side of the hinge can set up the required equation. Taking moment of all

the forces about hinge A , yields

44

P

L

PL Rby ==

∑ = ⇒ = 4

3 0 P Fy Ray

Taking moment of all forces right of hinge C about hinge C leads to

2

LR

hH by

b =×

h

PL

h

LR

H by

b 82

⇒ == (32.3)

V