Advanced Methods of Structural Analysis

Problems 265

P

l

A B

a =ul b =ul

C

Fig. P7.17

Ans.RAD

Pb^2

l^3

.3aCb/ ; MADPlu^2 ;MCD2P lu^2 ^2 ;

fCDP

a^3 b^3

3 EIl^3

.

7.18.The frame in Fig.P7.18is subjected to concentrated forcePand uniformly
distributed loadqwithin the vertical element. The relative flexural stiffnesses are
shown in circle;hD 5 m,lD 10 m,aD 4 m;bD 6 m,PD 8 kN;qD 4 kN=m.
Construct the bending moment diagram using different primary systems. Provide
the kinematical verification. Calculate shear and axial forces and determine the re-
actions of supports.
Trace the elastic curve and show inflection points.

P

q

a b

1

2

A

B

1

2

(^3) h
l
Fig. P7.18
Ans.M 1 D10:842kN m;M 2 D13:93kN m:
7.19.Design diagram of the frame is shown in Fig.P7.19. The flexural stiffnesses
EIfor all members are equal. Construct the internal force diagrams and trace the
elastic curve.
q=10kN/m
8m
C
A
6m
8m
D B
Fig. P7.19