Civil 1

1. An oi l of viscosity 9 poise is flowing through ahor izontal pipe of 60 mm diameter. I f the flowis laminar, the pressure drop in 100 m length ofthe pipe is 1800 kN/m2. The average velocity offlow of the oi l is

(a) 2.25 m/s

(b) 0.55 m/s

(c) 5.5 m/s

(d) 22.5 m/s

2. A canal was designed to supply the ir r igat ionneeds of 1000 ha of land gr owing r ice of 140days base per iod and having a del ta of 130 cm.I f the canal water is used to ir r igate wheat ofbase per iod of 119 days and having delta of50 cm, the ar ea that can be ir r igated is(a) 452 ha (b) 904 ha(c) 1105 ha (d) 2210 ha

3. The fol lowing r eadings wer e t ak en wi th aDumpy level and a 4 m level l ing staff on acont inuously sloping gr ound at 30 m intervals:0.680 m, 1.455 m, 1.855m, 2.330 m, 2.885 m,3.380 m,1.055 m.The R.L.of the four th point was calculated tobe 79.100 m. The R.L. of the point that wasread 0.680 m is(a) 80.750 m (b) 79.780 m(c) 78.420 m (d) 77.740 m

4. On a National H ighway pavement section meanvalue of Benk elman beam def l ect i on wasobtained as 1.45 mm wi th standard deviat ion of 0.017 m m. pavem en t t emper at u r emeasur ed was 37C and moistur e cor rect ionwas obtained as 1.6. What is t he value ofcharacter ist ic deflect ion consider ing the valueof 2 ?

(a) 2.72 mm

(b) 2.69 mm

(c) 2.63 mm

(d) 1.94 mm

5. I n a t r iaxial test at fai lur e, major pr incipalstr ess was 180 kPa, minor pr incipal st ress was100 kPa, and por e pressure was 20 kPa. Thetangent of the angle of shear ing resistance ofthe sandy soi l tested is

(a) 1/3 (b) 2/7

(c) 1/2 (d) 1/6

Ci v i l6. Figure given below shows a fixed beam of steel

At the point of col lapse, the value of load W wil lbe(a) 10 M p / L (b) 15 M p / L(c) 20 M p / L (d) 25 M p / L

7.

A r igid plate C is fastened to steel rod A of areaS and to steel pipe B of area 2S. The other endsof A and B are fastened to r igid suppor ts. Whenthe force P is zero, there are no stresses in Aand B. The yi el d st r esses i n t ension andcompression is y.The col lapse load P under yield condit ion is(a) y S (b) 2 y S(c) 3 y S (d) y S/2

8. Gross flange area for a r iveted plate girder is tobe designed consider ing net area as 80% of i tsgross area. Consider width of the flange as 500mm while web plate as 1000 mm 12 mm. Thegirder is to resist a maximum BM of 4500 kNm.Maximum allowable bending stress in tensionis 150 MPa. Gross flange area is(a) 22000 mm2

(b) 35500 mm2

(c) 46000 mm2

(d) 70000 mm2

9. An equipment is purchased for Rs. 40, 000 andis fully depreciated by straight line method over8 years. Consider ing interest on average annualcost at 15% p.a., the charge on the Companydue to use of this equipment, i f made uniformlyover the 8 years, is(a) Rs. 5,750 (b) Rs. 8,000(c) Rs. 8,375 (d) Rs. 14,000

2 Civil10. For cleaning and grubbing of constr uct ion si te

of 15000 m2 area, a bulldozer is used which haseffect ive width of 2 m of the blade and an averagespeed of 2.5 kmph. I f hir ing charges of bul ldozerare Rs. 500/hr., t hen cost per m2 is(a) Rs. 10 (b) Rs. 12(c) Rs. 15 (d) Rs. 18

Civil 3

1. 1 poise = 0.1 N-s/m2

= 0.9 N-s/m2

Vav = 1

82R

dpdz

dpdz

= 31800 10

100

= 18 103 N/m2/m

R = 602

= 30 mm = 0.03 m

Vav = 1

8 0.9 18 103 (0.03)2

= 2.25 m/s

2. Discharge (Q) in canal remains same.

Duty for r ice, D1 = 1000

Qha/cumec

Duty for wheat, D2 = 2A

Qha/cumec

Now 1 11

DB

= 2 22

DB

1 1

1

AB

= 2 22

AB

A2 = 119140

13050

10002

= 2210 ha

3. BS I S FS Rise Fal l RL 0.680 80.750

1.455 0.775 79.975

1.855 0.400 79.575

2.330 0.475 79.100

2.885 0.555 78.545

1.055 3.380 0.495 78.050

RL of the point that was read as 0.680= 79.100 + total fal l up to 2.330 reading= 79.100 + (0.475 + 0.400 + 0.775)= 80.750

4. Character ist ic deflect ion

= D + 2= 1.45 + 2 0.107= 1.664 mm

Since temperature is above 35C Temperature cor rect ion

= (37 35) 0.0065= 0.013 mm

Deflect ion after temperature cor rect ion= 1.664 0.013= 1.651 mm

Corrected deflect ion for subgrade moisture= 1.651 1.6= 2.64 mm

5. Effect ive minor pr incipal st ress

3 = 100 20 = 80 kPa

Effect ive major pr incipal st ress

1 = 180 20 = 160 kPa

1 3

2

= 40 kPa

1 3

2

= 120 kPa

sin = 40

120 =

13

tan = 2

1

3 1 =

1

2 2Although tangent is asked in the problem butthere is no cor rect choice. So (a) can be chosenas it is sine of the angle.

ANSWERS1. (a) 2. (d) 3. (a) 4. (c) 5. (a) 6. (c) 7. (c) 8. (d) 9. (c) 10. (a)

EXPL ANATI ONS

4 Civil

6.

Taking hinges at both fixed ends and under theload

W = M P + 2M P (4) + 2M P (3)

= 3L4

and3LW

4= 15 M P

W = P20M

L

Tak ing hinges at fixed ends and at point ofsect ion change

W L4 = M P () + M P (2) + 2M P ()

W = P20M

L

7. Load wi l l cause compr ession in r od A andtension in rod B.By compat ibi l i ty equat ion

AP LSE

= BP 2L2S E

PA = PB ...(i ) Also, PA + PB = P ...(i i )From equat ions (i ) and (i i ), we get

PA = P/2 and PB = P/2

Also, A = P2S

B = P

2 2S = P

4S A = 2BRod A wil l yield first because it car r ies morestress.

P

2y = y S

yield load, Py = 2ySBut col lapse wil l occur, only when both A and Byields Pu = y S + y 2S

= 3yS

8. Required sect ion modulus

Z = M

= 64500 10

150

= 30 106 mm3

Net moment of iner t ia = Z 500= 15000 106 mm4

= 15 109 mm4

Moment of iner t ia of web

= 312 1000

12 = 109mm4

Moment of iner t ia of flange= 15 109 109

= 14 109 mm4

A fd2 = 14 109 (Approximately)

d = 500 mm Net area of flange = 56,000 mm2

Gross area of flange = 56000

0.8 = 70,000 mm2

9. Average cost of equipment,

Pav = P 12

n

n

Here, P = 40000n = 8

Pav = 40000 9

16

= 22500

Annual depreciat ion = 40000

8 = 5000

Total annual cost

= 0.15 Pav + 5000 = 8375

10. Area cleaned by dozer in one hour

= Effect ive width Average speed

= 2 2500 = 5000 m2/hr

Number of hours taken to clean 15000 m2 area

= 150005000

= 3hr

Cost = 500 3 = 1500

Cost per m2 = 150001500

= Rs. 10