Advanced Methods of Structural Analysis

Problems 103

Inf. line H

1.2

+

0.6

Inf. line MK

(m)

11.25–8.325 =2.925

NP(MK) 11.1–9.0=2.1

+

−

1.05

y

x

yk= 11.25m

1

1

H H

A′ B′

12m

RA RB

F

HA

B

A

C

f=12m

f 0 =2m

ak= 18m

l=48m

k

11.25

(yK-f 0 )⋅IL(H)

8.325 9.0 IL(MK^0 )

11.1

+

Construction

Inf. line MK

(m)

Fig. 4.17 Three-hinged arch with complex tie. Influence lines forHandMk

Problems.......................................................................

4.1.Design diagram of symmetrical three-hinged arch is presented in Fig.P4.1.
Construct the influence lines for internal forces at sectionnusing the nil point
method.

C

n

P= 1

Fig. P4.1

4.2.Design diagram of nonsymmetrical three-hinged arch is presented in Fig.P4.2.
Construct the following influence lines (a) for vertical reactions at arch supportsA
andB; (b) for thrust; and (c) for internal forces at sectionskandn. Use the nil point
method. Take into account indirect load application.