CE Board Exam 1995

CE BOARD 1995

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER

CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION

Design and Construction “CE Board Exam Nov. 1995″

Determine the natural moisture content in percent of a soil given the following properties.

Plastic limit = 27

Plasticity index = 29

Liquidity index = 0.30


A shear center of an H-section with unequal flanges is located nearer to the bigger flange. If the

smaller flange is 16mm x 100mm the larger flange is 16mm by 200mm, and the web is 9mm by

284mm. the distance of the shear center from the center of the bigger flange is:


A propped cantilever beam (fixed at one end and simply supported at the other end) has a span L

of 6m. The beam carries a concentrated moment at the simply supported end. Where is the

location of maximum deflection measured from the simply supported end?

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CE BOARD 1995




The soil profile at the site consists of 5.0m. silty sand underlain by 13m. of clay. The ground

water table is at a depth of 2.8m. below the surface. The sand has a unit weight of 19kN/m3

above the ground water table and 20kN/m3 below. The clay has a unit weight of 15.ykN/m

3. The

lateral effective stress at a depth of 11m. is:


A 6m. tall cantilever wall retains soil that has the following properties. C = 0 phi = 30 degrees

and soil weights 19.2kN/m3. The ground surface behind the wall is inclined at a slope of 3hor. To

vertical and the wall has moved sufficiently to develop the active condition. Determine the

normal force acting on the back of the wall using Rankines’ Theory.



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CE BOARD 1995




A simply supported beam of length 7m has a concentrated couple of Mo of 10kN.m applied at

one end. The maximum deflection is located at a distance of 2.95m. from the applied load.

Assume E = 200000 N/mm2 and Ixx = 60 x 10

6mm

4. The max. deflection is:


The yield stress of the steel beam is 250N/mm2. The beam must be designed for a plastic

moment capacity of 288kN.m. The required plastic section modulus is:


Calculate the moment applied at the end of a flat steel bar 1.2m. long that will produce a

midpoint deflection of 40mm. The flat bar is 75mm wide and 9mm thick. Use E = 200000MPa.




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CE BOARD 1995




A short deep cantilever carries a vertically downward load at its free end. Assume the shear

stress is uniformly distributed over the cross-section of the beam. Use G = 25000 N/mm2. If the

shear is 25 N/mm2 and the length of the beam is 0.50m., the deflection due to shear at the free

end is:


A concrete column of height 5m. has a square cross section of side 300mm. It is designed to

support an axial load of 200kN. At mid-height, a recess is out in one face of the column to

receive a floor beam. The cut is 300mm vertical and 75mm deep. Calculate the strain energy of

the column produced by the axial load before and after the recess is cut. Use Youngs modulus =

N/mm2.


A simple beam of length “L” has a concentrated load of P at a distance “a” from the left support

and “b” from the right support. The maximum moment of the beam is:




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CE BOARD 1995




Determine the ratio of the pressure against a wall 6.10m. high retaining a cohesion less soil

(angle of internal friction phi = 34.75 degrees). The natural moisture content is 10% and sp.gr. =

2.65, when the water table is on top of the wall and when the water table is below the wall. Voids

ratio is 0.50.


An earthquake is usually measured by the magnitude M on the Richter scale. The intensity I of

an earthquake and the magnitude M are related by the formula: M = log I/Io where Io is the

intensity of an arbitrary chosen earthquake. The earthquake that hit Kobe, Japan, measured 5.7

on the Richter scale. The earthquake that hit Baguio, Philippines measured 7.8. How many times

stronger is the earthquake that hit Baguio?

Design and Construction “CE Board Exam May 1995″

The specific gravity of the soil is 2.65; the void ratio is 0.5; water content is 7.94% the wet

density is:


A 300mm x 75mm wooden plank is placed on top of another 600mm x 150mm wooden plank

having the same material. If the superimposed beam is subjected to a total moment of 7 kN.m,

determine the moment carried by the lower plank. Span of plank is 6m. E = 8,000 MPa.


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CE BOARD 1995




A soil sample has a void ratio of 0.76, specific gravity of 2.74 and degree of saturation of 85%.

The unit weight is:


A precast beam of length L is to be lifted at two points. The two points should be at _______

distance from the ends so the maximum moment is as small as possible.


A reinforced concrete T-beam is to be designed for tension reinforcement only. The beam width

is 250mm and the effective depth is 400mm. The flange thickness is 100mm and its effective

flange width is 900mm. The applied moment is 300 kN-m. The area of tension reinforcement

required is: Use fc’ = 20.7MPa and Fy = 414MPa.

Design and Construction “CE Board Exam May

A proposed cantilever is 10m long and is required to carry a load of 100kN at mid span. If the

yield stress of mild steel is 300 N/mm2, determine the plastic section modulus using a load factor

failure of 1.5.




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CE BOARD 1995




The structural i-beam supporting a floor carries a floor load of 4.6 kN/m2. The beams span 6.0m

and are simply supported at their ends. Determine the center line spacing if the allowable stress

in the beam is 120MPa and the section modulus is 534 x 103 mm

3.


The properties of a given steel section is as follows. A = 6,000 mm2, Ix = 50 x 10

6mm

4, Iy = 120

x 106mm

4, Ixy = 75 x 10

6mm

4. Compute the minimum radius of gyration.


The specification for a job calls for a Class “b” mix a minimum compressive strength of 3,000psi

at 28days. The result of 125 compressive tests are tabulated in the following table: 28-day

Compressive

Strength, psi No. of Tests

2,800 2

2,900 4

3,000 6

3,100 11

3,200 24

3,300 37

3,400 19

3,500 12

3,600 6

3,700 4

What is the standard deviation?

(Use the mean value 3,290 psi.)




CE BOARD 1995




A structural steel wide flange section has a flange section 150mm x 12mm and a web section

300mm x 9mm. It carries a max. shear of 90kN. If the average shearing stress is 33.33MPa, and

INA = 108 x 106mm

4, with a statistical moment of area equal to 382,050mm

3, compute the max.

shearing stress.


A 1.0 cu.m. design mix was proportioned at 1:2.25:3.25. Water content was specified at 137 kg.

per cu.m. maximum, and cement content is 9 bags per cu.m. (40kg. per bag of cement). The

specific gravity of cement is 3.15 and that of the fine sand is 2.65 and coarse aggregates are 2.68.

The requirement in kg. of fine sand per cu.m. is:

Hydraulics “CE Board Exam Nov. 1995″

Theoretical velocity generated by a 3 m hydraulic head is:


At or below critical velocity in a small pipe or at very low velocities, the loss of head due to

friction

a) varies directly as the velocity

b) is infinitely large

c) equals the velocity head

d) can be ignored


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CE BOARD 1995




A 20cm diameter pipe of length 100m with z = 60m with f = 0.02 and loss of head due to

entrance coefficient k = 0.5. What is the flow rate?


The head loss in 50m of 12cm diameter pipe is known to be 6m when liquid specific gravity =

0.9 of viscosity 0.04 N-s/m flows at 0.06 m/s. Find the shear stress at the wall of the pipe?


The head loss in 50m of 12cm diameter pipe is known to be 6m when liquid specific gravity =

0.9 of viscosity 0.04 N-s/m flows at 0.06 m/s. Find the shear stress at the wall of the pipe?


What are the principal impurities found in water?

a) nonionic and undissolved

b) all of these

c) gasses

d) ionic and dissolved


What is the measurement of the amount of oxygen required to stabilize the waste completely.

a) chemical oxygen demand

b) biological oxygen demand

c) theoretical oxygen demand

d) none of these






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CE BOARD 1995




Find the width in m of the channel at the back of a suppressed weir using the following data: H =

28.5cm; d = 2.485m; Q = 0.84 cu.m/sec. Consider the velocity of approach and use the Francis

formula.


Name method(s) of measuring stream flow.

a) open channel formulas

b) weir formulas

c) price current meter and weir formulas

d) all of the above


The bottom width of a trapezoidal canal is 2.5m. and its sides are both inclined at 60° with the

horizontal. Water flows at a depth of 3m. Find the discharge in cu.m/sec. if s = 0.0008 and n =

0.03. Use the Chezy formula.


A spillway controls reservoir 4.6 hectares in area. The permanent crest is at elevation 75m.

Water can be drawn from elevation 76.5m to elev.75.5m. in 42 minutes. Find the length of the

spillway in m. Use the Francis formula.


The bottom width of a canal is 4m. and the side slopes are 2 horizontal to 1.0 vertical. Find the

hydraulic radius, in m. when water flows 1.25 m. deep.






CE BOARD 1995




Which method has the best control of water supplied?

a) furrow

b) flooding

c) subirrigation

d) trickle irrigation


This formula applies to steady flow in open channels, and is in the from

Where:

V = velocity

C = an empirical coefficient

R = hydraulic radius

S = slope of the hydraulic gradient

a) Darcy-Weisbach formula

b) Manning formula

c) Chezy formula

d) Hazen-Williams formula


Water flows in a 2m. wide rectangular flume at the rate of 2.75 cu.m./sec. with a mean velocity

of 3.5 m/s. To what depth, in cm., can the water jump? Use g = 0.91.




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CE BOARD 1995




What is the graph that plots the measured stream flow discharge vs. water surface elevation?

a) infiltration curve

b) all of these

c) rating curve

d) hydrograph


A rectangular concrete flume, 4m wide, carries water at the rate 5 cu.m/sec. Determine the

critical depth in m. Use g = 9.81.


The side slope of a trapezoidal open channel are 1.0 horizontal to 1.732 vertical. The bottom

width is 2.5m and the depth of flow is 3m. n = 0.015 and s = 0.0004. Find the velocity of flow in

m/s using the manning formula.


The length of the crest of a trapezoidal weir is 2m. The sides are slopping at 75°57’49” with the

horizontal. Find the discharge in cu.m/sec if the head on the weir is 0.5m.


Water can jump from a depth of 30 cm. to 75 cm. in a rectangular flume. Determine the

discharge in cu.m/sec. if the flume is 2.75m. wide. Use g = 9.81.






CE BOARD 1995




What is the rate of flow of water passing through a pipe with a diameter of 20 mm and speed of

0.5 m/sec?


The discharge over a trapezoidal weir is 1.315 cu.m/sec. The crest’s length is 2m and the sides

are slanting at 75°57’49” with the horizontal. Find the head on the weir in m.


Consider an arbitrary shaped body with a submerged volume Vs and density rs, submerged in a

fluid of density rf. What is the effective weight of the body in the fluid? Use g as the density of

water.


This is a measure of the relative importance of inertial forces to viscous forces. At sufficiently

high values, flow become turbulent.

a) Weber Number

b) Froide Number

c) Moody Number

d) Reynolds Number


The fundamental reference dimensions are mass, length and time. The fundamental Si units for

them are kilogram (kg), meter (m), and seconds (s), respectively. The unit of force derived from

these units in the Newton (N). Consequently, the unit pressure N/m2 is called:

a) Stress

b) Pascal

c) Gage

d) MegaPascal







CE BOARD 1995




A trapezoidal flume of most efficient proportion has a base width of 1.5m. Its full discharge is

3cu.m/sec. If the same material were used for the most efficient rectangular section, by how

much would the discharge decrease in cu.m/sec.


The relative roughness of a pipe is dependent on

a) length

b) absolute roughness of the interior surface and diameter

c) diameter

d) absolute roughness of the interior surface


Absolute viscosity of a fluid varies with pressure and temperature and is defined as a function of:

a) density and angular deformation rate

b) density and shear stress

c) shear stress and density

d) shear stress and angular deformation rate


A constant radius arch dam has a vertical upstream face. The radius of the arch is R and the

height of the dam (also the height of the water) is H. The arch subtends an angle of 2Ø. What is

the net vertical force acting on the dam face due to hydrostatic forces? Use g as the density of the

water.




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CE BOARD 1995




What is the term for capillary water in the smaller pore surfaces on the soil?

a) interception

b) depression storage

c) soil moisture

d) basin recharge

Mathematics “CE Board Exam Nov. 1995″

A close traverse has the following data:

LINE BEARING DISTANCE

AB S. 15°36’ W. 24.22

BC S. 69°11’ E. 15.92

CD N. 57°58’ E. ?

DA S. 80°43’ W. ?


The area of a circle circumscribed about an equilateral triangle is 254.47 sq.m. What is the area

of the triangle in sq.m.?


In triangle ABC, AB =15m., BC = 18m., and CA =24m. How far is the point of intersection of

the angular bisectors from vertex C in m.?


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CE BOARD 1995




What is the value of x in log 625 = 4?


The correct distance between two points is 220.45 m. Using a 100 m. tape that is “x” m. too long,

the length to be laid on the ground should be 220.406 m. What is the value of “x”?


The volume of the frustum of a regular triangular pyramid is 135 cu.m. The lower base is an

equilateral triangle with an edge of 9m. The upper base is 8m. above the lower base. What is the

upper base edge in meters?


A circular cylinder with a volume of 6.54 cu.m. is circumscribed about a right prism whose base

is an equilateral triangle of side 1.25m. What is the altitude of the cylinder in m.?


The ratio of the volume to the lateral area of a right circular cone in 2:1. If the altitude is 15 cm.,

What is the ratio of the silent height to the radius?


The area bounded by the curve y2 = 12x and the line x=3 is revolved about the line x=3. What is

the volume generated?









CE BOARD 1995



Find the moment of inertia, with respect to x-axis of the area bounded by the parabola y2 = 4x

and the line x = 1.


What is the integral of Sin5x Cos

3xdx if the lower limit is zero and the upper limit is π/2?


A stone is thrown upward at an angle of 30° with the horizontal. It lands 60m. measured

horizontally and 2m. below measured vertically from its point of release. Determine the initial

velocity of the stone in m/s.


From a speed of 20 mph a train accelerates at the rate of 0.395 m/s2. How many seconds will it

take the train to travel one km. during the acceleration?


What is the differential equation of the family of lines passing through a fixed point(h, k)?


Find the present value in pesos of perpetuity of P15000 payable semi-annually if money is worth

8% compounded quarterly.








CE BOARD 1995



A machine costing P720,000 is estimated to have a book value of P40,545.73 when retired at the

end of 10 years. Depreciation cost is computed using a constant percentage of the declining book

value. What is the annual rate of depreciation in %.


P200,000 was deposited at an interest rate of 24% compounded semi-annually. After how many

years will the sum be P621,170?


A bomber plane, flying horizontally 3.2 km. above the ground, is sighting on at a target on the

ground directly ahead. The angle between the line of sight and the path of the plane is changing

at the rate of 5/12 rad/min.. When the angle is 30°, what is the speed of the plane in mph?


A manufacturer can produce a commodity at a cost of P2 per unit. At a selling price of P5 each,

consumers have been buying 4000 pieces a month. For each P1.00 increase in that price, 400

fewer pieces will be sold each month. At what price a piece will the total profit be maximized?


What is the derivative with respect to x of 2 Cos2 (x

2+2)?


The area in cut of two irregular sections 35m. apart are 34 m2 respectively. The base width is

10m. and the side slope is 1:1. Find the corrected volume of cut in cu.m. using prismoidal

correction formula.






CE BOARD 1995




The common tangent CD of a reversed curve is 280.50m. and has an azimuth of 312°29’. BC is

a tangent of the first curve whose azimuth is 252°45’. DE is a tangent of the second curve whose

azimuth is 218°13’. The radius of the first curve is 180m. P.I.1 is at station 16 + 523.37. B is at

P.C. and E is at P.T. What is the stationing of P.I.2?


What is the angle of intersection of the tangents of a simple curve if their bearings are N. 75°12’

E. and S. 78°36’E. respectively?


How far from the x-axis is the focus F of the hyperbola x2

- 2y 2+ 4x + 4y + 4 = 0?


What is the center of the curve x2+y

2-2x-4y-31=0?


What is the slope of the line 3x + 2y + 1 = 0?


In how many minutes after 7:00 o’clock will the hands be directly opposite each other for the

first time?


Find the value of y in the following equation:

3x – 2y + w = 11

x + 5y – 2w = – 9



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CE BOARD 1995



2x + y – 3w = -6


How many four – digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digit

is used only once in one number?

Mathematics “CE Board Exam May 1995″

What is the area in sq.cm. of the circle circumscribed about an equilateral triangle with a side 10

cm. long?


A closed traverse has the following data.

Course Bearing Dimension

1-2 N 9.27°E. 58.7 m.

2-3 S 88.43°E. 27.3 m.

3-4 N 86.78° E. 35.2 m.

4-5 S 5.3° E. 35.0 m.


Sin (270 + B) = ?


The base edge of the regular triangular pyramid 12 m. if the altitude is 9 m. What is the volume

in cu.m?


Point A is in between point B and C. The distance Between B and C from point A are 1000 m.

and 2000 m. respectively. Measured from point A, the angle of the elevation of B and C is 44.4

m. considering the effects of curvature and refraction, what is the value of θ?

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CE BOARD 1995




In the triangle ABC, angle C =70°, A= 45°, AB = 40 m. What is the length of the median drawn

from the vertex A to side BC?


A sphere having a diameter of 30m. The altitude of the 1st segment is 6 cm. What is the ratio of

the area of zone of the second segment to that of the first?


What is the height of a right circular cone having a slant height of √10 x and a base diameter of

2x?


Given is the area in the first quadrant bounded by x2

= 8y, the line x=4 & the x axis. What is the

volume generated by revolving this area about the y-axis?


The correct distance between two points is 220.45 m. Using a 100 m. tape that is “x” m. too long,

the length to be laid on the ground should be 220.406 m. What is the value of “x”?










CE BOARD 1995



What is the area bounded by the curve y2=x and the line x-4=0?


A projectile is fired with a muzzle velocity 300 m/s from a gun aimed upward at an angle

of with the horizontal, from the top of a building 30 m. high a level ground. With what velocity

will it hit the ground in m/s?


A man paid a 10% down payment of P200,00 for a house and lot and agreed to pay the balance

monthly installments for 5 years at n interest rate of 15% compounded monthly. What was the

monthly installment in pesos?


How long (years) will it take money to quadruple if it earns 7% compounded semi-annually?


These sides of a square lot having an area of 2.25 hectares were measured using a 100 m. tape

that was 0.04 m. too short. Compute the error in the area in sq.m.


Cars A and B Are traveling in the same direction at the same speed at 20 kph along a level road

with a Car A 150 m ahead of Car B. Car A decelerates at 2 m/sec2. From the instant up to the

time B overtakes A, how far has A traveled.


A pulley that is rotating at 36 rev/s is decelerated at 12 rad/s2 until it stops. How many complete

revolutions does it make within this period?







CE BOARD 1995




A wall “h” meters high is 2m. away from the building. The shortest ladder that can reach the

building with one end resting in the ground outside the wall is 6 m. How high is the wall in m?


The cross- section notes shown below are for a groun8d excavation for a 10 m. roadway.

What is the volume of excavation in cu.m. between the two station. Use Prismoidal Formula.


The common tangent BC of a reversed curved is 280.5 m. and has a bearing of S 47° 31° E. AB

is a tangent of the second curve whose bearing is N. 72°45’ E. CD is a tangent of the second

curve whose bearing is N. 38°13’ E. A is at the P.C. while D is at the P.T. The radius of the first

curve is 180 m. The P.I. is at the station 12+523.37. Find the stationing of the P.T.


Water is running into hemispherical bowl having a radius of 10 cm. at a constant rate of

3cm3/min. When the water is x cm. deep, the water level is rising at the rate of 0.0149 cm/min.

What is the value of x?







CE BOARD 1995



A 3 degree curve has an angle of intersection of 24°. What is the length of the chord in meters?

Uses chord basis.


What is the derivative with the respect to x of sec.x of sec.x2?


What is the equation of the normal to the curve x2+y

2=25 at (4,3)?


What is the radius of the circle x2+y

2-6y=0?


What is the is the length of the latus rectum of the curve x2=20y?


The number 28, x + 2, 112 from a geometric progression. What is the 10th

term?


In how many minutes after 2 o’clock will the hands of the clock extend in the opposite direction

for the fist time?



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CE BOARD 1995




What is the sum of the progression 4, 9, 14, 19. . . . up to 20th

term?

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CE Board Exam 1995