2018 September - Morning


1. If log2 y = log (1000), the value of y is nearest;

(a) 1.0

(b) 2.0

(c) 4.0

(d) 8.0

Ans: log (1000) = 3

log y = 3

y = 23 

y = 8 (d)


2. A regular pentagon is inscribed in a circle having a radius of 5. Area of this pentagon is nearly as;


(a) 59.441

(b) 90.818

(c) 128.2112

(d) 146.616

Ans: log (1000) = 3

log y = 3

y = 23 

y = 8 (d)

72°5


3. Find limx →0 sin(x) / x3  


(a) -0.333

(b) -0.167

(c) 0.167

(d) 0.333


4. The solution of   y ' + 2y = 0  is;


(a) C ex 

(b) C 2 ex 

(c) C e-2x 

(d) C e-x


5. The volume of parallel-piped with sides   A = 3i + 3j - k,   B = 2i + 5j - k,   and   C = 2i + 2j +5k is nearest;


(a) 25

(b) 51

(c) 71

(d) 61


6. Consider the bolted joint shown in the adjacent figure. The force P is 30 kN and the diameter of the bolt is 10mm. The average value of the shearing stress existing across either of the plane a - a or b - b is _____.

(a)     191 MPa

(b)     382 MPa

(c) 381.97 MPa

(d)       98 MPa



7. The assembly shown in the figure consists of a brass core (diameter d1 = 6 mm) surrounded by a steel shell (inner diameter d2 = 7 mm, outer diameter d3 = 9 mm). A load P compresses the core and shell, which have length L = 85 mm. The moduli of elasticity of the brass and steel are Eb = 100 GPa and Es = 200 GPa, respectively. What load P will compress the assembly by 0.1 mm?

(a) 3325.9 N

(b) 5912.9 N

(c) 7831.6 N

(d) 9238.8 N



8. The maximum bending stress in the beam shown in the following figure is _____. Note Ix = 301.3 x 10-6  m4 .

(a) 11.2 MPa

(b) 12.7 MPa

(c) 22.5 MPa

(d) 25.4 MPa


9. A specimen of Aluminium having a rectangular cross-section 15 mm x 22.7 mm is pulled in tension with   43,500 N   force, producing only elastic deformation. Young's modulus of aluminium is 69 GPa. For that case, the resulting strain will be _____.


(a) 1.65 x 10-3  

(b) 1.75 x 10-3  

(c) 1.85 x 10-3  

(d) 1.95 x 10-3 


10. Flow table test is one of the workability tests which has recently become widespread in its use, particularly for flowing concrete with _____ admixtures.

(a) super plasticizing

(b) retarding

(c) waterproofing

(d) water reducing


Ans: (a) super plasticizing (Domone, 1998)


11. Sulphate resisting cement is called   Type V   Portland cement. This cement has a low _____ content so as to avoid Sulphate attacks from outside of the concrete.

(a) C3S

(b) C2S

(c) C3A

(d) C4AF


Ans: (Mason & Lea, 2021)

Chemical composition

  • tetra-calcium aluminoferrite, 4CaO · Al2O3Fe2O3 

  • tricalcium aluminate, 3CaO · Al2O3 

  • dicalcium silicate, 2CaO · SiO2 

  • tricalcium silicate, 3CaO · SiO2 

Abbreviated Notation

  • 4CaO · Al2O3Fe2O3 → C4AF

  • 3CaO · Al2O3 → C3

  • 2CaO · SiO2 → C2S

  • 3CaO · SiO2 → C3S

Type V (sulfate-resistant cement) chemical composition

  • 3CaO · SiO2 (C3S) →  38 %

  • 2CaO · SiO2 (C2S) →  43 %

  • 3CaO · Al2O3 (C3A ) →    4 %

  • 4CaO · Al2O3Fe2O3 (C4AF) →    9 %

  • MgO → 1.9 %

  • SO3  → 1.8 %

  • ignition loss → 0.9 %

  • free CaO → 0.9 %

This type of cement has a very low (C3A) composition which creates high sulfate resistance.

(c) C3A ( 3CaO · Al2O3  Tricalcium Aluminate )


12. In ASTM standards, the ratio of the actual Ultimate Tensile Stress to actual Yield Stress should not be less than _____ for reinforcing steel.

(a) 1.1

(b) 1.15

(c) 1.2

(d) 1.25


Ans: (d) 1.25

(ACI 318-19 Code-20.2.2.5)

(ASTM A615)


13. A strip footing, also known as _____ footing is one of the shallow foundation systems which is provided for a row of columns.

(a) spread

(b) combined

(c) continuous

(d) raft


Ans: (c) continuous (Kimmerling, 2002; Tomlinson & Boorman, 2001)


14. Autoclaving or _____ is one of the curing methods for the development of strength of concrete.

(a) Steam Curing

(b) High-Pressure Steam Curing

(c) Wet Curing

(d) Membrane Curing


Ans: (b) High-Pressure Steam Curing

(Gambhir, 2013)


15. If the liquidity index of the soil is in the range of 0 to 1, the soil will be in the state of _____.

(a) semi-plastic solid state

(b) plastic state

(c) liquid state

(d) solid state


Ans: (b) plastic state

(Budhu, 2015; Sivakugan & Das, 2010)

Liquidity Index, LI

L I < 0 Semisolid state

0 < L I < 1 Plastic state

L I > 1 Liquid state


16. In cohesionless soil, particularly in medium to fine sands, the quick condition is likely to occur at hydraulic gradient of about:

(a) 0

(b) 0.5

(c) 1

(d) 1.5


Ans: (c) 1

Robert F Craig (2004)

The quick condition

Critical hydraulic gradient, ic

ic = ( Gs - 1 )  /  ( 1 + e )

Critical hydraulic gradient ( ic ) for most soil is ≃ 1.0


17. The vane shear test is useful to determine the in-situ shear strength for _____.

(a) long term stability of an earthen embankment constructed with homogeneous stiff clay soils

(b) rapid construction of an earthen embankment constructed with homogeneous clay sands and gravels

(c) slow rates of construction of an earthen embankment constructed with homogeneous soft clayey and sensitive soils

(d) none of the above


Ans: (c) slow rates of construction of an earthen embankment constructed with homogeneous soft clayey and sensitive soils

ASTM D 2573-94 (This test method covers the field vane test in soft, saturated, cohesive soils)


18. A saturated soil has a void ratio of 0.5 and a specific gravity of solid soils, Gs = 2.54. The moisture content of the soil is most nearly:

(a) 19%

(b) 20%

(c) 21%

(d) 25%


Ans:

(Das, 2013)

S = ω Gs / e _ _ _ 1.39 (Das, 2013)

e = ω Gs / S

for saturated soil, S  =  1,

e = ω Gs _ _ _ 1.40 (Das, 2013)

ω  =  e / Gs 

ω  =  0.5 / 2.54 

=  0.2 = 20%

(b)


19. In the Bernoulli's Energy equation, " total energy head " means

(a) total energy per unit length

(b) total energy per unit weight

(c) total energy per unit time


Ans: (b) total energy per unit weight

(Featherstone & Nalluri, 1995)


20. Rise of the head (pressure head) caused by the pressure of   7 kN/m2   at the center of circular pipe flowing full is _____. 

(a) 0.0165  meter of water

(b) 0.8198  meter of water

(c) 0.7135  meter of water

(d) 1.1089  meter of water


Ans:

Specific weight of water, 𝛾w   =  9.81 kN/m3 

Pressure, P  =  𝛾w h

h  =  P / 𝛾w 

    =  7 / 9.81 

    =  0.7136 (c)


21. The total head available for hydraulic power transmission system is 320m. For getting maximum power transmission through the pipe, the fraction head loss in the pipe must be _____.

(a) 175.6  m

(b) 106.67 m

(c) 120.8  m

(d) 170.6  m


22. Absolute velocity of a jet with the diameter of   80 mm   is 75 m/s. Mass rate of the flow (mass/sec) of the jet is _____.

(a) 277   kg / s

(b) 300   kg / s 

(c) 377   kg / s

(d) 450   kg / s


Ans:

m = ρ A V 

= 1000 kg/m3 × π (0.08)2 / 4 m2 × 75 m/s

= 377 kg/s (c)


23. A Building Costing 500,000 kyats has been constructed on a freehold land measuring   100 m2   recently in a big city. Prevailing rate of land in the neighborhood is 1500 kyats/m2. The owner expects 6 percent interest per year return on the cost of building construction and 4 percent interest per year return on the cost of land. Determine the net rent of the property.

(a) 24,000 kyats

(b) 36,000 kyats

(c) 42,000 kyats

(d) 48,000 kyats


Ans:

Building Cost = 500,000 kyats

Land Cost = 150,000 kyats

6% interest of the cost of building = 30,000 kyats

4% interest of the cost of land = 6,000 kyats

Net rent of the property = 36,000 kyats

(b)


24. One construction company want to build a   100,000 sq.ft,   4 storeyed   parking garage for   $ 5,000,000. The parking garage include one elevator, which cost   $ 120,000   and its costs are included in the   $ 5,000,000. Using this information, prepare a preliminary cost estimate for   90,000 sq.ft,   4 storeyed   garage with   2 elevators. It is estimated that costs have risen   3%   during this year.

(a) $ 2,400,000

(b) $ 4,276,560

(c) $ 4,392,000

(d) $ 4,770,960


25. Calculate the cost of transport of   2,400m3   of stone ballast from a distance of   8 km   by truck which can carry   3 m3   per trip.

1st km $ 5.5 per m3 / km

2nd and 3rd km $ 5.5 per m3 / km

4th and 5th km $ 5.5 per m3 / km

6th to 8th km $ 5.5 per m3 / km

(a) $ 24,150

(b) $ 26,160

(c) $ 42,000

(d) $ 62,000


Ans:

1 km = 5.5 $ per m3 / km

2,3 km = 1.0 $ per m3 / km 

4,5 km = 0.8 $ per m3 / km

6,7,8 km         = 0.6 $ per m3 / km 

Cost for 1 km         = $ 13,200

Cost for 2,3 km = $ 4,800

Cost for 4,5 km = $ 3,840

Cost for 6,7,8 km = $ 4,320

Total Cost = $ 26,160 (b)


26. An old building has been purchased by a person at a cost of   $ 30,000   excluding the cost of the land. Calculate the amount of annual sinking fund at   4% interest   assuming the future life of the building as   20 years and the scrap value of the building as   10%   of the cost of purchase.

(a) $ 2500

(b) $ 1008

(c) $ 907.2

(d) $ 125




















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