Bengal Engineering and Science University 2007 B.E Civil Engineering Theory of structures-I - Question Paper

ques. paper is with the attachment.

Ex/BESUS/ CE-501/07 B.E. (CE) Part-Ill 5th Semester Examination, 2007

Theory of Structures-I (CE-501)

Time : 3 hours    Full Marks : 100

Use separate answerscript for each half. Answer SIX questions, taking THREE from each half. Two marks are reserved for neatness in each half.

FIRST HALF

(The questions are of equal value.)

1. Analyse the beam loaded as shown in Fig.Q.l by moment distribution method. Also draw BM diagram.

2. Find the horizontal deflection of mode B by virtual work method. AE = constant for all members shown in Fig.Q.2.

3. Calculate the redundant reaction at C and also draw BM diagram in Fig.Q.3.

A*

oi

-f" El - C

u

-T7T

Fig.Q.3

4. Calculate the tension in the tie rod as shown in Fig.Q.4.

Fig.Q.4

5. Write short notes on any four of the following :

i)    Castiglianos Theorems

ii)    Strain energy and complementary strain energy

iii)    Virtual work method for axial load

iv)    Rotational and modified stiffness

v)    Carry over and distribution factor.

SECOND HALF

State and explain two area-moment theorems.

Consider a beam AB which is supported on a hinge at the end A and supported on a roller at end B. It is having a span of 5.4m. A concentrated load of 120 kN is applied at a distance of 1.8 m from left hand support A. Find out by moment area method, the rotations of beam at its two ends, namely, 0_A and 0_B, respectively, and the deflection at the midspan.    [5+11]

7. Referring Fig.Q.7, find by conjugate beam method, the rotations 0_A and 0_B at the two ends of the beam AB and the deflection at the midspan.    [16[

V

.t-

v\

I/O.

Fig.Q.7

Derive the three moment equation including the effect of support settlement. Using this equation, draw the bending moment diagram of a four span continuous beam ABCDE which has all the spans AB = BC = CD = DE = 5 m and subjected to a uniformly distributed load of 10 kN/m. The beam is supported by a hinge at support A while it is supported on rollers at point B, C, D and E, respectively.    [7+9]

4. Calculate the tension in the tie rod as shown in Fig.Q.4.

Fig.Q.4

5. Write short notes on any four of the following :

i)    Castiglianos Theorems

ii)    Strain energy and complementary strain energy

iii)    Virtual work method for axial load

iv)    Rotational and modified stiffness

v)    Carry over and distribution factor.

SECOND HALF State and explain two area-moment theorems.

Consider a beam AB which is supported on a hinge at the end A and supported on a roller at end B. It is having a span of 5.4m. A concentrated load of 120 kN is applied at a distance of 1.8 m from left hand support A. Find out by moment area method, the rotations of beam at its two ends, namely, 0_A and 0_B, respectively, and the deflection at the midspan.    [5+11]

7. Referring Fig.Q.7, find by conjugate beam method, the rotations 0_A and 0_B at the two ends of the beam AB and the deflection at the midspan.    116]

V

.6-

m

I/O.

Fig.Q.7

Derive the three moment equation including the effect of support settlement. Using this equation, draw the bending moment diagram of a four span continuous beam ABCDE which has all the spans AB = BC = CD = DE = 5 m and subjected to a uniformly distributed load of 10 kN/m. The beam is supported by a hinge at support A while it is supported on rollers at point B, C, D and E, respectively.    [7+9]

Attachment: bengal-engineering-and-science-university-2007-b-e-civil-engineering-1103-1.pdf

Earning:   Approval pending.