Problems 105
4.Decreasing of external temperature within the left half-archACleads to appear-
ance of internal forces at at the following part of the arch: (a) portionAC;(b)
portionCB; (c) all archAB; (d) nowhere.
A
C
B
n
Fig. P4.4
4.5.Three-hinged parabolic nonsymmetrical arch spanlis subjected to concen-
trated forcePat the hingeC(Fig.P4.5). Determine the effect of the location of the
hingeCon the value of the trrustH.(Hint:yD4f 0 x.lx/
1
l^2
,HD
MC^0
fC
)
A
C
B
P
ab
l/ 2
f f^0
C x
y
Fig. P4.5
Ans.HD
Pl
4f 0
4.6.Three-hinged arch with tie is subjected to concentrated forcePat the hingeC
(Fig.P4.6). Determine the effect of the locationf 0 of the tie on the axial forceHin
the tie.
A
C
B
P
l/ 2
f
f 0
Fig. P4.6
Ans.HD
Pl
4.ff 0 /