Advanced Methods of Structural Analysis

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 /