No. of PrintedP.: 7 IBCE-0821
DIPLOMA IN CIVIL ENGINEERING (OOLI (G» I
ADVANCED LEVEL CERTIFICATE COURSE IN
CIVIL ENGINEElUNG (DCLEVI/ACCLEVI)


T'ml-End Examjnation Dooe-.ber, 2016
BC£-032 THEORY OF STRUCTURES
Time 1u)ur$ Marks: 70
Note: Questfon number 1 is compulBery. any 'four from. the Total number of questi()ns to be attempted are (iV«. Assume suitable datq. neces$ary' aM mention, it clearly. Use of scientific calculator allJd steel tables is permitted.


1. Choose the most appropriate answer from the following alternatives in each case: 7x2=14 Maximum permissible pitch in the
direction of the stress in a riveted joint in compression is 16 t or 200 mm. whichever is less

(ii) 12 t or 200 mm. whichever is less

(iii) 2·5 x diameter of the rivet

(iv) 4 t 100

(t thickness of plates joined) A rivet has a nominal diameter dn, Gross diameter d and maximum permissible shear stress The resistance of a rivet in single shear is given by n/4 dn^2 tvf
nd2 'tvf

(iii) n/4 d^2 tvf

(iv) nd'tve The effective length of a column having unsupported length and one end fixed and the other end hinged is given by 0.80L

(ii) 0.65 L

(iii) 1.5L

(iv) 1·2 L The efficiency of a riveted joint is equal to the ratio of Greatest strength of the joint to the strength of solid plate

(ii) Least strength of the riveted plate to the greatest strength of the joint

(iii) Least strength of the joint to the strength of solid plate
All the above The ordinate of the influence line diagram for bending moment will always have the dimensions of Length

(ii) Force x Length

(iii) Force

(iv) Length

(f)A proped cantilever has
one end fixed and the other end free

(ii) both ends fixed

(iii) one end hinged and the other end roller supported

(iv) one end fixed and the other end roller supported
The slope and deflection at various points in a beam subjected to Bending Moment are Interdependent function

(ii) Independent function

(iii) Directly proportional to BM

(iv) None of the above

2. Draw the influences line for BM and SF at point (Figure in the simply supported beam AB of span 9m.

<br><br> <img src='./qimages/8384-2.jpg'>


(a) Calculate the maximum negative and positive SF at X when two connected wheel loads, 7 kN and 15 kN, 2 m apart, cross the beam from A to B.
Calculate the maximum BM at X when a UDL of 7 kN/m of length 3 m Crosses the beam from A to B. 14

3. Analyse the beam as shown in Figure 2 by moment distribution method. Calculate the support moments and reactions. Flexural rigidity is shown as in circles. Draw the BM and SF diagrams. 14 <img src='./qimages/8384-3.jpg'>



4. A single-riveted double-cover butt joint is used to connect two plates of 12 mm thickness (Figure Power driven field rivets of 18 mm are Used with cover plates of 12 mm. Calculate the necessary pitch and efficiency of the joint. Assume bearing stress of rivetlJ 270 N/mm2 shearing stress of rivets 90 N/mm2 and fy for the plate 150 N/mm2 . <img src='./qimages/8384-4.jpg'>



5. A continuous beam is loaded as shown in Figure . Calculate support reaction and draw B.M.D. and S.F.D. using Three Moments Theorem. Assume El constant for the beam. 14 <img src='./qimages/8384-5.jpg'>


6. A tension member consists of two 100 x 75 x 8 mm IS angles. These angles are connected by their long legs to a gusset plate by means of 16 mm diameter rivets in such a way that each angle section is reduced by one rivet only. Calculate the tensile strength of the member if the angles are connected on the same side of a gusset plate of 10 mm thickness and the angles are properly tack-riveted. if the angles are connected on the opposite sides of a 10 mm gusset plate, and the angles are properly tack-riveted


7. Calculate the safe load for the column as shown in Figure . Effective length of the column is 5.5m. <img src='./qimages/8384-7.jpg'>


Values of allowable axial compression 0ac for various slenderness ratio are as below.

l/r(min)
10 150
20 148
30 145
40 139
50 132
60 122
70 112
80 101
90 90

8. Discuss the steps to design a beam (flexural member). 5

Discuss the types of roof trusses.· Also explain the loads acting on the trusses. 5

Discuss the advantages and disadvantages of welded joints as compared to riveted joints.