Andhra University 2007 B.E STRUCTURES - II - Question Paper

II Year B.E./B.Tech Degree exam

STRENGTH OF MATERIALS AND THEORY OF

STRUCTURES - II

(Civil Engineering)

Time : 3 hours Maximum : 75 Marks

ques. one is compulsory

ans any 4 from ques. two to 8

All ques. carry equal marks

6

b) Draw the B.M.D and SFD for a continuous beam loaded as

shown in Fig. 1.

3. a) Derive the formula for Rankine’s crippling load for a column.

b) A steel stanction is made of an I part 250 x 150 mm with

I x = 92 x 106 mm4 ; I y = 415 x 104 mm four ; A = 6500 mm2

and 2 symmetrical flange plates of 210 x 20 mm size.


Both ends of the stanction are fixed and its length is 15m.

obtain the Rankine’s crippling load 2

s4 = 250N/mm and

a = 1/ 7500 .

4. a) Derive an formula for failure load for a long column subjected

to eccentric load.

b) The corss part of a long column 5.0m long is shown in

Fig.2 1 end of the column is fixed and the other end is

hinged. Determine Eulers critical load.

E=2.1´105N/mm2

5. a) discuss Rankines theory of

failure for specimen subjected

to x, y, xy s s t

b) Determinie the stress at failure

according to principal

strain theory for a rod subjected

to

sx=260;sy=100; t xy = 60N/mm2

¬ 4m ® ¬¾ 5m ¾®

¬2.5m® ¬4m® ¬2®

10KN/m 30KN 40KN

D A

B C

Fig. 1

®

150

20mm

140mm

20mm

Fig.2

7

6. a) Dervice the criterion for maximum bending moment to occur

under a wheel load when 2 rolling load W1, W2 are moving

on a beam with W1 leading an seperated by ‘a’ from W2

b) A train of moving loads as shown in Fig. three is mover on a

beam of span 20m. obtain the position of loads when the B.M.

is maximum at 9M. from left end.

fig. 3

7. a) Determine the condition needed for B.M. at a sec to become

maximum when a set of loads is rolling the beam.

b) Draw the influence lines for the forces in members a and c of

the warren truss shown in Fig 4.

60 1b

3m

1a

¯70 ¯80 ¯200 ¯

¬2 ¬ three ¬1.5 m

50KN

¬ ¬

8. a) provide the procedure for calculating the maximum stress in a

beam subjected to unsymmetrical bending.

b) Determine the shear centre for a channel part shown in Fig5.

2 0 cm

¬ ¬

30 0.6cm

0.8cm

A

3

B

C

Fig .4

Earning:   Approval pending.