Advanced Methods of Structural Analysis

Problems 199

RB

P

A

l

q

RA

EI C B

Fig. P6.9

Ans.ycD

Pl^3

48 EI

C

5

384

ql^4

EI

I AD

ql^3

24 EI

C

Pl^2

16 EI

.clockwise direction/.

6.10.The truss in Fig.P6.10supports the concentrated forceP, which is applied
at joint 3. Axial rigidity for diagonals and vertical elements equalEA, for lower and
top chords equal 2EA. Calculate the relative displacement of joints 4 and 7 along
the line joining them and the angle of rotation of the element 5–7.

h =3

P

1

d=4m

3795

4 68 10

2

a

2 EA

2 EA

EA EA

Fig. P6.10

Ans. 4  7 D3:054

P

EA

.apart/I  57 D1:2014

P

EA

.counter clockwise/.

6.11.Semicircular simply supported bar of radiusRwith uniform cross section (EI
is a flexural stiffness) is presented in Fig.P6.11. Determine the horizontal displace-
ment of supportB.

ABDBx

P

R

y C

Fig. P6.11

Ans.BD

PR^3

2 EI

.