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CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam Nov.
1998″
A concurrent force system in space is composed of 3 forces
described as follows P1 has a magnitude of 100kN and acts
through the origin and points x =3, y =4, z=2. P2 has a
magnitude of 60kN and acts through the origin and points x
= 4, y = 1, z = -2. P3 has a magnitude of 80kN and acts through the origin and points x = 2, y = -3, z = 3.
1) Which of the following most nearly gives the x-component of the resultant force.
2) Which of the following most nearly gives the y-component of the resultant force.
3) Which of the following most nearly gives the z-component of the resultant force.
Design and Construction “CE Board Exam Nov.
1998″
A bill of quantities is to be prepared for square isolated
reinforced concrete column and footing as shown. The
foundation is strong enough that form works is not required for footing. The swell factor for backfill is 120%.
1) Which of the following most nearly gives the quantity of excavation in m3.
2) Which of the following most nearly gives the quantities
of form works is sq.m.
Design and Construction “CE Board Exam Nov.
1998″
A rectangular reinforced concrete beam with width of
300mm and effective depth of 600mm is subjected to a
service (unfactored) bending moment of 200kN.m. The
beam is reinforced with 4-32mmØ bars. The modular ratio n = 8.
1) Using the alternate (working stress) Design method.
Which of the following most nearly gives the distance of the neutral axis from the top of the beam (kb) in mm.
2) Which of the following most nearly gives the maximum stress in concrete in MPa.
3) Which of the following most nearly gives the total comp. force in concrete in kN.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam Nov.
1998″
For continuous beams and slabs, approximate coefficients
of shear and bending moments in accordance with the
NSCP Specifications may be utilized when the following conditions are satisfied.
1) Adjacent clear spans may not differ by more than 20%
of the shorter span.
2) Ratio of live load to dead should be less than 3.
3) The loads must be uniformly distributed.
When all conditions are satisfied, the following formulas
maybe used to determine shear forces and bending moments in continuous beam and one way slabs.
A) For positive moment
End span:
1) If discontinuous ends is unrestrained …… (WL’2/11)
2) If discontinuous ends is integral with the support………………………………………. (wL’2/14)
3) Interior spans…………………………….. (wL’2/16)
B) For negative moment
1) Negative moment at exterior face of first interior support.
Two spans ………………………………… -(wL’2/9)
More than two spans ………………………… - (wL’2/10)
2) Negative moment at other faces of interior
supports…………………………………… (wL’2/11)
3) Negative moment at face of all supports for
a) Slabs with spans not exceeding
3m …………………………………….… - (wL’2/12)
b) Beams and girders when the ratio of sum of column stiffness to beam stiffness exceeds 8 at each
end of the span ………………………….. - (wL’2/12)
3) Negative moment at interior faces of exterior supports, for members built integral with their supports.
a. Where the support is a spandrel beam or girder
……… -(wL’2/24)
b. Where the support is a column
……… -(wL’2/16)
C) Shear Forces:
1) Shear in end members at first interior
support………………………………….………(1.15wL’/2)
2) Shear at the other support …………………... (wL’/2)
The figure shown is a continuous beam having given clear
spans of L1 = 6m., L2 = 7m and L3 = 8m. It carries a
uniform dead load of 12 kN/m and a uniform dead load of
12kN/m and a uniform live load of 30 kN/m. It is required to compute the following. Use NSCP moment coefficients.
1) Which of the following most nearly gives the moment at
A.
2) Which of the following most nearly gives the moment at
B.
3) Which of the following most nearly gives the moment at C.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam Nov.
1998″
Section 4.5.1.3.1 of the NSCP specifies the allowable axial
compressive members whose cross-sections meet with the
provisions of the code.
A compression member is 3m. long and pinne at both ends.
Effective length of factor K = 1.0. The column is subjected
to an axial compressive load of 590kN. The section is made
up of 2 angles of unequal legs with long legs back to back
and separated by a gusset plate 11mm thick. Use A 36 steel, Fy = 248 MPa and E = 200000 MPa.
1) Which of the following gives the largest allowable
compressive stress.
2) Which of the following gives the smallest allowable
compressive stress.
3) Which of the following gives the most economical
setion.
Section Area(m2) rx(m) ry(m)
2- < 120×80x10 0.0056 0.040 0.018
2- < 1150×90x12 0.0062 0.052 0.021
2- < 180×100x10 0.0079 0.060 0.026
Design and Construction “CE Board Exam Nov.
1998″
A W 16 x 58 is connected to W 18 x 31. Use A-36 steel Fy
= 248MPa. Allowable stress Ss = 0.40 Fy. A 502 grade hot
driven rivets with an allowable shearing stress of 120MPa
and allowable bearing stress of 1.5 Fu(AISC). The support
is to be designed using the full strength of W 16 x 58 beam based on the gross section.
Properties of sections
W 16 x 58 W 18 x 31
d = 403mm Flange thickness = 11mm
Web thickness = 10mm
1) Which of the following most nearly gives the minimum
diameter of rivets not the exceed allowable shear stress.
2) Which of the following most nearly gives the minimum diameter of rivets not to exceed allowable bearing stress.
3) Which of the following most nearly gives the minimum diameter of rivets.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam Nov.
1998″
A truss shown in the figure is subjected to a horizontal
force at joint C. The term E below refers to the modulus of
elasticity of the material in Pa and the term A refers to the
cross-sectional area of the members. The truss is to be analyzed using the method of superposition.
1) Which of the following most nearly gives the relative
displacement of joint B and D, if member BD is removed in meters.
2) Which of the following most nearly gives the relative
displacement of joint B and D due to two unit loads (N)
acting at joint B and D acting towards each other in the
direction of member BD, if the member BD is removed in m.
3) Which of the following most nearly gives the value of the bar force in member BD in Newtons.
Design and Construction “CE Board Exam Nov.
1998″
From the beam shown in the figure.
1) Which of the following gives the fixed end moment at B due to the concentrated load in kN.m.
2) Which of the following most nearly gives the distribution factor at B for the member AB in %
3) Which of the following most nearly gives the moment at
B.
Design and Construction “CE Board Exam Nov.
1998″
Three identical cylinders are stacked within a rigid bin as
shown in the figure weight of each cylinder is 500 N. There
is no friction at any contact surface.
1) Which of the following most nearly gives the force at A, in Newtons.
2) Which of the following most nearly gives the force at B, in Newtons.
3) Which of the following most nearly gives the force at C, in Newtons.
Design and Construction “CE Board Exam May
1998″
A piece of equipment was purchased for P4,000,000.00
The useful life is estimated at 5years with no salvage value.
The equipment is estimated to be used 1000 hours every year Operating costs are as follows:
Fuel ………….10 liters/hour @ P10 per liter
Oil ……………1 liter/hour @ P20 per liter
Grease ……….2 liters/hour @ P5 per liter
The equipments uses 6 tires costing P60,000 each.
Estimated life of tires is 4000 cost of money is 15% per
year. Cost of insurance taxes, storage, etc. is 15% per year.
1) Which of the following gives the cost of using the
equipment only in pesos per hour.
2) Which of the following gives the cost of using the tires in pesos per hour.
3) Which of the following gives the cost of using the equipment and tires in pesos per hour.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam May
1998″
For the forces in the figure shown
1) Which of the following most nearly gives the magnitude
of the horizontal component of the resultant of the force
system?
2) Which of the following most nearly gives the magnitude
of the resultant force?
3) Which of the following gives the angle that the
equilibrant makes with the horizontal axis.
Design and Construction “CE Board Exam May
1998″
1) For the wall footing shown in the figure, which of the
following most nearly gives the effective soil pressure if
the allowable soil pressure is 200kPa. (the effective soil
pressure is the remaining soil pressure available to support
the loads after the effects of the soil an concrete weights are
subtracted) fc’ = 28 MPa fy = 280MPa
Unit weight of concrete = 24kN/m3
Unit weight of soil = 16kN/m3
Allowable soil pressure = 200kPa
PD = 200kN/m
PL = 180kN/m
2) Which of the following most nearly gives the minimum
width of footing rounded to the nearest 0.10m. such that the
effective soil pressure will not be exceeded.
3) Which of the following most nearly gives the ultimate shear due to factored loads acting or, the critical section.
Design and Construction “CE Board Exam May
1998″
Given the beam shown in the figure, in equation (1) and (2)
below, the terms are as follows:
Axy = area of the moment diagram of the given load acting
on a simple beam
Xxy = distance of centroid of Axy from point x
I = moment of inertia of member
Lxy = span length of member xy
1) Determine the value of the expression:
Representing the contribution of the uniform load and
concentrated load acting on the span ab, to the three-moment equations of two-span beam.
2) Determine the value of the expression:
Representing the contribution of the triangular load acting
on the triangular load acting on the span bc, to the three-moment equations of two-span beam.
3) Compute the maximum negative moment.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Design and Construction “CE Board Exam May
1998″
A sand layer of the cross-sectional area shown in the figure
below has been determined to exist for a 450m. length of
levee. The coefficient of permeability of the sand layer is
3m per day. Compute the quantity of water which flows into the ditch.
Design and Construction “CE Board Exam May
1998″
A plate with width of 300mm and thickness of 20mm is to
be connected to two plates of the same material with half
the thickness, by 25mm diameter rivets, as shown in the
figure. The rivet holes have a diameter 2mm larger than the
rivet diameter. The plate is A36 steel with yield strength Fy
= 248 megaPascals, allowable tensile stress of 1.35 Fy. The
rivets are A502, Grade 2, hot-driven rivets with allowable shear stress of 150 megaPascals.
1) Which of the following most nearly gives the max. load
in kN that can be applied to the connection without exceeding the allowable shear stress in rivets.
2) Which of the following most nearly gives the max. load
in kN that can be applied to the connection without
exceeding the allowable bearing stress between the plates and the rivets.
3) Which of the following most nearly gives the max. load
in kN that can be applied to the connection without
exceeding the allowable tensile strength of the plates.
Design and Construction “CE Board Exam May
1998″
For the shaded area given in the figure.
1) Determine the area, in square meters.
2) Determine the x-coordinate of the centroid, in meters.
3) Determine the y-coordinate of the centroid, in meters.
Design and Construction “CE Board Exam May
1998″
Given the figure below:
1) Determine the reinforcement ratio, in percent
2) Determine the ratio of the center spacing of
reinforcement to the column dimension in the direction of
bending.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
3) Using the interaction Diagram, determine the maximum
downward load that the column can support, in kN, if
eccentricity e = 200mm.
Design and Construction “CE Board Exam May
1998″
A simply supported beam with span of 8meters is subjected
to a uniform vertical downward load equal to 50kilo
Newtons/meters, acting on the plane of the minor axis of
the beam section, which includes the beam weight. The
beam is restrained against lateral buck.ing of the top and
bottom flanges for the entire span. The material is A36
steel with fy = 248 megaPascals and modulus of elasticity =
200 gigaPascals. The allowable flexural stress for laterally
braced compact sections is 0.66 fv. The allowable
deflection is 1/360 of the span. Three compact sections are
being considered, as follows, with their respective
properties relevant to this problem (length units are in
meters):
Section Moment of Inertia Beam Depth
1 W 24 x55 0.000558 m4 0.598m.
2 W 21 x 62 0.000554 m4 0.533m.
3 W 21 x 68 0.000616 m4 0.537m.
1) Determine the minimum section modulus Sx, in m3, such
that the maximum flexural stress will not be exceeded.
2) Determine the minimum moment of inertia Ix, in m4,
such that the maximum deflection will not be exceeded.
3) Assuming that shear stress is not critical, which of the
sections being considered is the most economical section
adequate for the given load.
Design and Construction “CE Board Exam May
1998″
A simply-supported beam has shear diagram shown in the figure.
1) Determine the maximum positive bending moment, n kN-m.
2) Determine the maximum negative bending moment, in kN-m
3) Determine the location of the inflection point from the support, in meters.
Design and Construction “CE Board Exam May
1998″
The result of a grading analysis is the particular size
distribution shown in the figure. Determine the effective grain size D10.
a) 0.10
b) 0.07
c) 0.09
d) 0.08
Design and Construction “CE Board Exam May
1998″
A soil sample is placed in a brass box. The soil is gripped
by perforated metal grilles and porous discs are behind the
metal grilles to allow the sample by means of a 500kg
weight and while applying the normal load, a lateral force
is gradually exerted in the box using an electrical screw
jack. The force and the corresponding cross section of specimen are recorded during the test. This is known as:
a) Consolidated drain test
b) Direct shear test
c) Undrained shear test
d) Unconfined compression test
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Hydraulics “CE Board Exam May 1998″
The velocity at which the change from laminar to turbulent flow occurs is:
a) lower than that from turbulent to laminar
b) equal to that from turbulent to laminar
c) higher than that from turbulent to laminar
d) none of these
Hydraulics “CE Board Exam May 1998″
A large cylindrical steel tank 4m. high with its bottom
on level ground contains two layers of liquid. The bottom
layer is water 2m. deep. The top layer is occupied by a
liquid whose specific gravity is not known to a depth of
1m. A 50 mm diam. orifice with a coefficient of velocity of
0.98 is situated one meter from the bottom of the tank. The
jet from the orifice hits the ground 2.75m horizontally away from the vena contracta. Determine the sp.gr. of the liquid.
Hydraulics “CE Board Exam May 1998″
Which of the following statements is not in accordance with Pascal’s Law?
a) The pressure is the same in all directions at any point in
a fluid at rest.
b) The pressure applied at any point to a liquid in a closed
vessel is transmitted undiminished to every portion of the
vessel
c) A body submerged in a fluid apparently weighs less by
an amount equal to the weighs less by an amount equal to
the weight of fluid displaced.
d) None of these
Hydraulics “CE Board Exam May 1998″
Horizontal orifice under a constant head of 1.30m. issues a
jet which hits a point 5m. below the centerline of the orifice
and 5m horizontally from the vena contrata. What is the coeff. of velocity?
Hydraulics “CE Board Exam May 1998″
What is the discharge capacity of a concrete pipe culvert 4
ft. in diam. And 10m. long if the difference in water level at
the outlet is 10m. Assume coefficient of discharge C = 0.74.
Hydraulics “CE Board Exam May 1998″
A watershade covering an area consisting of an equilateral
triangle ABC and a square section on the side BC. AV is
1.5km. long. If the storm precipitation depths as measured
on the rain gages at A, B and C are 75 mm., 125 mm and
100 mm respectively, compute the average precipitation over the watershed using Thiessen’s polygon method.
Hydraulics “CE Board Exam May 1998″
If the discharge over a 45° triangular weir is 0.021 m3/sec. What is the head if C = 0.594?
Hydraulics “CE Board Exam May 1998″
A vertical jet of water thru a nozzle supports a load of 150
N. The velocity and diameter of the jet at the nozzle tip are
17.46 m/s and 3 cm. Find the distance of load from the nozzle tip in meters.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Hydraulics “CE Board Exam May 1998″
On slow filter, thin gelatinous surface coat of biological growth maybe develop.
a) facultative
b) biomass
c) sludge bulking
d) Shmuthdecke
Hydraulics “CE Board Exam May 1998″
Type of bacteria found in water which lives and developed without oxygen.
a) facultative
b) Bacilli
c) sponge
d) anaerobic
Hydraulics “CE Board Exam May 1998″
Wastewater from a residential community is 400 liters per
person per day containing 200 milligram per liter BOD and
240 milligram per liter suspended solids. Determine the
number of grams of BOD per person per day.
Hydraulics “CE Board Exam May 1998″
A nozzle situated at ground level issues a jet inclined at 30°
with a velocity of 12 m/s. How long will it take before the jet hit the ground?
Hydraulics “CE Board Exam May 1998″
Find the discharge through a rectangular suppressed weir in
m3/sec if L = 2.4m. and H = 18cm. Neglect velocity of approach. Use Francis formula.
Hydraulics “CE Board Exam May 1998″
Assuming the same cross sectional area and slope, which
of the following channel shapes will give the highest
discharge?
Hydraulics “CE Board Exam May 1998″
Wastewater from residential community is 400 liters per
person per day containing 240 mg/liter suspended solids.
Calculate the number of grams of suspended solids per person per day.
Hydraulics “CE Board Exam May 1998″
A drainage canal in the shape of trapezoid with a bottom
width of 2.5m. and sideslope of 1 hor. To 1.5 vertical
carries water at a depth of 3m. Find the discharge in m3/sec using Mannings formula. S = 0.0004, n = 0.015.
Hydraulics “CE Board Exam May 1998″
A spillway 12.9m. long releases flood run off from a
reservoir 5 hectares in area. If the reservoir level drops
from elevation 55m to 54m. in 2520 sec. fond the elevation
of the crest of the spillway in meters. Use Francis formula. Assume constant reservoir surface area.
Hydraulics “CE Board Exam May 1998″
A storm drain with a radius of 1.8 m. flows half full. Find the hydraulic radius in meters.
Hydraulics “CE Board Exam May 1998″
If a 5kg steel plate attached to an end of a 0.1 x 0.3 x 1.2m.
wooded pole, what is the length of the pole above the
water? Use sp.gr. of wood equal to 0.50. Neglect buoyant force on steel.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Hydraulics “CE Board Exam May 1998″
A dam 4m. on top, 10m at the bottom and 20m. high has
water 15m. depth acting on its vertical side. What is the
factor of safety against sliding if the coefficient of friction is 0.80.
Hydraulics “CE Board Exam May 1998″
Water flows in a rectangular canal having a width of 1m.
and a depth of 0.6m. at the rate of 0.07 m3/sec. Determine the type of flow.
Hydraulics “CE Board Exam May 1998″
Compute the critical depth for a rectangular canal having a critical velocity of 4 m/s.
Hydraulics “CE Board Exam May 1998″
With normal barometric pressure at sea level, the
atmospheric pressure at an elevation of 1215.5m. in terms
of height of mercury is equal to _________. Wt. of air = 11
N/m3 and Hg = 760 mm of air at sea level.
Hydraulics “CE Board Exam May 1998″
A large square tank has a 200 mm-diameter nozzle 5m. below the water level?
Hydraulics “CE Board Exam May 1998″
A tank contains oil sp.gr. = 0.80, gasoline sp.gr. = 0.9 and
sea water sp.gr. = 1.05. What is the pressure at a depth of
1.2m in kg/m2 if the depths of liquids are 0.5, 0.6 and 0.8
m. respectively.
Hydraulics “CE Board Exam Nov. 1998″
A trapezoidal drainage canal has a width of 1.2 m. and
1.8m. at the bottom and top respectively. If n = 0.016, what is the hydraulic radius when flowing 1.2m. deep.
Hydraulics “CE Board Exam Nov. 1998″
A specimen of moist clay has a mass of 183.4 grams. After
oven drying, the mass is reduced to 157.7 grams. Compute
the moisture content of the sample.
Hydraulics “CE Board Exam Nov. 1998″
Determine the discharge through a trapezoidal weir whose
sides are at an angle of 14°01’11” from the vertical and the crest length is 1.5m. long. The head on the weir is 0.3m.
Hydraulics “CE Board Exam Nov. 1998″
A tank contains three liquids. Oil with sp.gr. of 0.8,
gasoline with sp.gr. of 0.90 and see water with a sp.gr. of
1.05 with depths of 0.65, 0.45 and 0.55 m. respectively. Compute for the water pressure at a depth of 0.80 m.
Hydraulics “CE Board Exam Nov. 1998″
A fluid flows through a 1000m. long and 12 mm. diam.
glass tube. In 2 minutes 0.015 m3. of fluid passes through
the tube. If head loss is 0.20 meter, what is the Reynolds
Number. Assume laminar flow.
Hydraulics “CE Board Exam Nov. 1998″
The discharge in a rectangular flume of most efficient
section(b = 2d) is 9 cu.m/sec. If the velocity of flow is 1.2
m/s, find the slope required for uniform steady flow. Use Chezy’s c = 50 (S.I. units)
Hydraulics “CE Board Exam Nov. 1998″
A suppressed rectangular weir is under a head of 32m. The
width of the channel upstream of the weir is 2.5m. and
water stands 1.25m. deep. Using the Francis formula, find
the discharge in m3/sec. Neglect velocity of approach.
Hydraulics “CE Board Exam Nov. 1998″
A dam 40m. high has a spillway discharging at 2m. deep
and a crest length of 10m. If c = 3.2, find the discharge in
cu.m. sec.
Hydraulics “CE Board Exam Nov. 1998″
A masonry dam 6m. on top, 18m. at the bottom and 24m.
high has water 20m. deep on its vertical side. What is the
factor of safety against sliding? Assume weight of masonry as 2400 kg/m3. and coefficient of friction is 0.80.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Hydraulics “CE Board Exam Nov. 1998″
A 600 mm. diameter water main is bent at an angle of 45°
from the horizontal. What vertical component of dynamic
pressure is developed in the bend if the velocity in the pipe is 2 m/s?
Hydraulics “CE Board Exam Nov. 1998″
Determine the discharge in MLD in a 3000 mm gravity
flow aqueduct if the depth of flow is 2400 mm. The slope
of the hydraulic gridline is 0.0014 and the value of Mannings “n” is 0.016.
Hydraulics “CE Board Exam Nov. 1998″
A trapezoidal flume in the shape of a half hexagonal has
abase width of 1.5m. It is laid at a slope “S”, has a
roughness coefficient “n” and the discharge is 3.0 m3/sec.
When flowing full. If the same material were used for the
most efficient rectangular section, by how much would be the discharge decrease in cu.m. per sec.?
Hydraulics “CE Board Exam Nov. 1998″
A circular orifice is located 5m. below the water surface. If
the tank is large and the diameter of the orifice is 5 mm,
calculate the discharge in m3/sec. if the coefficient of discharge is 0.60.
Hydraulics “CE Board Exam Nov. 1998″
A vertical gate with width = 1.2 m. is submerged in liquid
with top and bottom edge, 3m. and 6m. below the surface,
respectively. If oil with sp.gr. = 0.80 occupies the top 1
meter of the liquid and the rest is water, calculate the force acting on the gate.
Hydraulics “CE Board Exam Nov. 1998″
The discharge over a rectangular suppressed weir is 0.333
cu.m/sec. Water stands 1.0 m. depth at the back of the weir.
Find the length of crest of the weir if the head is 20cm. Consider velocity of approached and use Francis Formula.
Hydraulics “CE Board Exam Nov. 1998″
Piston A has a cross section of 1200 sq.cm. While that of
piston B is 950 sq.cm. with the latter higher than piston A
by 1.75m. If the intervening passages are filled with oil
whose specific gravity is 0.80, what is the difference in
pressure between A and B.
Hydraulics “CE Board Exam Nov. 1998″
If the maximum flow in a 5 meter wide rectangular channel
is 10 cu.m./sec. what is the critical velocity in m/sec2. Use g = 9.81 m/sec2.
Hydraulics “CE Board Exam Nov. 1998″
Water flow in a 4m. wide rectangular channel. If the critical
depth was measured to be 0.542m., what is the max. flow in cu.m./sec. use g = 9.81 m/sec2.
Hydraulics “CE Board Exam Nov. 1998″
A large air tight conical tank is filled with water 3.6m.
above a nozzle located at its sides. The air pressure inside
the tank is 20 kPa. If the side of the tank is inclined 15°
from the vertical and the nozzle is perpendicular to the side
of the tank, what is the horizontal component of the velocity of the jet?
Hydraulics “CE Board Exam Nov. 1998″
Run off from a 10 sq. km. drained area is discharge over a
weir 45m. long If rainfall with an intensity of 30mm. per
hour fell on the area, find the resulting head of the weir.
Use Francis formula and neglect velocity of approach.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Hydraulics “CE Board Exam Nov. 1998″
In a tri axial test, a specimen of saturated (normally
consolidated) clay was consolidated under a chamber
confining pressure of 80 kPa. The axial stress on the
specimen was then increased until the axial stress at failure
was 120 kPa. The pore pressure (u) at the time was 30 kPa. Compute the consolidated undrained friction angle (phi).
Hydraulics “CE Board Exam Nov. 1998″
A clay layer 4m. thick rests beneath a deposit of submerged
sand 8m. thick. The top of the sand is located 3m. below
the surface of the lake. The saturated unit weights of sand
and clay is 25 kN/m3. and 18 kN/m3. Compute the effective vertical pressure at mid-height of clay layer.
Hydraulics “CE Board Exam Nov. 1998″
A conduit, closed or open designed to convey water from a
source to a point usually a reservoir where the distributed system begins.
a) Aqueduct
b) Gravity conduit
c) canal
d) flume
Hydraulics “CE Board Exam Nov. 1998″
The gravity-fet distribution system will have a flat or level hydraulic gradient or pressure surface when:
a) pipes are more bigger and bigger from the source to the
end
b) there are no leaks and no withdrawal from the system
c) the term is flat
d) the pipe size are uniform
Hydraulics “CE Board Exam Nov. 1998″
The hydraulic and energy gradients for a straight pipe and uniform diameter are parallel with each other because of:
a) uniform velocity
b) uniform pressure drop
c) constant slope of pipe
d) none of these
Hydraulics “CE Board Exam Nov. 1998″
A sewer intended to carry only sanitary sewage.
a) sanitary sewer
b) outfall sewer
c) storm sewer
d) combined sewer
Hydraulics “CE Board Exam Nov. 1998″
Which of the statement is true.
a) center of buoyancy is always below the center of mass
of stability
b) buoyant force on any body is equal to the fluid
displaced
c) center of mass of displaced fluid is coincident with
center of mass of an object
d) none of these
Hydraulics “CE Board Exam Nov. 1998″
In a flow net construction of determining seepage flow, the
paths along which water can flow through a cross-section
are called:
a) Equipotential lines
b) Flow lines
c) Flow diagrams
d) Flow nets
Hydraulics “CE Board Exam Nov. 1998″ In acceptable dosage, this process in water treatment is
helpful in reducing the incidence of tooth decay.
a) Coagulation
b) Fluorosis
c) Calcium addition
d) Fluoridation
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Mathematics “CE Board Exam Nov. 1998″
The slope of the curve x=6y3 – 2y2 at (6, 3) is equal to:
Mathematics “CE Board Exam Nov. 1998″
Find the sum of the geometric progression 2x, 4x+14, 20x-
14 …. Up to the 10th term.
Mathematics “CE Board Exam Nov. 1998″
The volume of the frustum of a regular triangular pyramid
is 135 cu.m. The lower and the upper bases, both
equilateral triangles have edges equal to 9 m. and 3 m. respectively. Find its altitude.
Mathematics “CE Board Exam Nov. 1998″
The log of the product MN is equal to 1.62324929 and the
log of the quotient M/N is equal to -0.066946789. Find the value of N.
Mathematics “CE Board Exam Nov. 1998″
Eleven (11) men can finish the job in 15 days. Five (5) men
were working at the start and after 6 days four (4) men were added. How many days will it take to finish the job?
Mathematics “CE Board Exam Nov. 1998″
Find the area of the region bounded by the polar curve r2 = a2 Cos 2θ
Mathematics “CE Board Exam Nov. 1998″
Mathematics “CE Board Exam Nov. 1998″
Find the radius of curvature of the curve 4x – y2 = 0 at point (1,2).
Mathematics “CE Board Exam Nov. 1998″
A coin is tossed 3 times. What is the probability of getting 3 tails up?
Mathematics “CE Board Exam Nov. 1998″
Find the equation of the diameter of the ellipse which
bisects all chords having a slope of 1/5 the equation of
ellipse is 64x2 + 25y2 = 1600.
Mathematics “CE Board Exam Nov. 1998″
A truck travels from point M north ward for 30 min., then
eastward for one hour, then shifted N. 30° W. If the
constant speed is 40 kph, how far directly from M in km, will it be after 2 hours?
Mathematics “CE Board Exam Nov. 1998″
A traverse has the following data:
LINE BEARING DISTANCE
AB N. 73°23’ E 33.48
BC S. 39°30’ E 8.11
CD S. 43°40’ W 39.42
DE N. 39°50’ W 7.08
EA N. 17°33’ W 22.02
Determine the amount of correction for the latitude of
the line CD using transit rule.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Mathematics “CE Board Exam Nov. 1998″
A line 100 m. log was placed by a surveyor for four times
with the following data: 142, 145, 145.5 and 146. Then
another line was paced for four times again with the
following results, 893, 893.5, 891 and 895.5. Determine the
length of the line.
Mathematics “CE Board Exam Nov. 1998″
A driver traveling at mph is 80 m. from a wall ahead. If the
driver applies the brakes immediately (perception time is 2
seconds) and begins slowing the vehicle at 10 m/sec2
(decelerating), find the distance from the stopping point to
the wall.
Mathematics “CE Board Exam Nov. 1998″
A stadia intercept reading of 3.0 m. was taken on a rod
using a transit having a stadia interval factor of 100 and a
stadia constant of 0.3 m. if the line of sight is inclined at an
angle of 3°15’, determine the horizontal distance from the
transit to the rod.
Mathematics “CE Board Exam Nov. 1998″
Data on a traffic accident recorded on a certain intersection
for the past 5 years has an accident rate of 4160 per million
entering vehicles (ARMV). If the average daily traffic
entering the intersection is 504, find the total number of accidents during the 5 year period.
Mathematics “CE Board Exam Nov. 1998″
The areas of cut of two irregular sections 60 m. apart are 32
sq.m. and 68 sq.m. respectively. The base width is 8 m.
with a side slope of 1:1. Find the corrected volume of cut in cu.m. using prismoidal correction formula.
Mathematics “CE Board Exam Nov. 1998″
A vertical sag curve has a descending grade of -1.7% and
an ascending grade of +2.3%. If the sag curve ahs a length
of 135 m., compute the length of the sight distance?
Mathematics “CE Board Exam Nov. 1998″
A driver traveling at mph is 80 m. from a wall ahead. If the
driver applies the brakes immediately (perception time is 2
seconds) and begins slowing the vehicle at 10 m/sec2
(decelerating), find the distance from the stopping point to
the wall.
Mathematics “CE Board Exam Nov. 1998″
A highway curve has a super elevation of 7°. Find the
radius of the curve so that there will be no lateral pressure between the tires and the roadway at a speed of 40 mph?
Mathematics “CE Board Exam Nov. 1998″
A machine costing P720,000 is estimated to have a life of
10 yrs. If the annual rate of depreciation is 25% determine
the total depreciation using a constant percentage of declining balance method.
Mathematics “CE Board Exam Nov. 1998″
Compute the surface area of the cone having a slant height of 5 cm. and a diameter of the base equal to 6 cm.
Mathematics “CE Board Exam Nov. 1998″
Find the distance from a point (5, -3) to the line 7x – 4y = 28.
Mathematics “CE Board Exam Nov. 1998″
If the volume of the sphere is equal to 36 cu.cm, find the
surface area of the sphere.
Mathematics “CE Board Exam Nov. 1998″
Water is the flowing into a conical vessel 15 cm. deep and
having a radius of 3.75 cm. across the top. If the rate at
which water is rising is 2 cm/sec. how fast is the water
flowing into the conical vessel when the depth of water is 4
cm?
Mathematics “CE Board Exam Nov. 1998″
How many years will P100,000 earned a compound interest
of P50000 if the interest rate is 9% compounded quarterly?
Mathematics “CE Board Exam Nov. 1998″
Find the length of the common chord of the curves x2 + y2 = 64 and x2 + y2 – 16x = 0.
Mathematics “CE Board Exam Nov. 1998″
The area bounded by the curve x3 = y, the line y = 8 and the y-axis. Determine the centroid of the volume generated.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Mathematics “CE Board Exam Nov. 1998″
The deflection angles of two intermediate points A and B
of a simple curve are 3°15’ and 8°15’ respectively from the
P.C. if the chord distance between A and B is 40 m, find the length of curve from P.C. to B.
Mathematics “CE Board Exam Nov. 1998″
A circle having an area of 201 sq.m. is cut into segments by
a chord which is 3 m. from the center of the circle. Compute the area of the smallest segment
Mathematics “CE Board Exam May 1998″
A closed traverse has the following data. Compute the bearing of line 1-2.
LINE BEARING DISTANCE
1-2 ————- 58.7
2-3 ————- 27.3
3-4 N. 86.78° E. 35.2
4-5 S. 5 – 3° E. 35.0
5-1 S. 72.7° W. 78.96
Mathematics “CE Board Exam May 1998″
A manufacturer produces certain items at a labor cost of
P115 each, material cost of P76 each and variable cost of
P2.32 each. If the item has a unit price of P600, how many
number of units must be manufactured each month for the
manufacturer to break even if the monthly overhead is
P428,000.
Mathematics “CE Board Exam May 1998″
A man loans P187,400 from a bank with interest at 5%
compounded annually. He agrees to pay his obligations by
paying 8 equal annual payments, the first being due at the end of 10 yrs. Find the annual payments.
Mathematics “CE Board Exam May 1998″
The angular speed of a flywheel having a diameter of 6m. is 20 rpm. Compute its tangential velocity.
Mathematics “CE Board Exam May 1998″
The radius of the earth is 3960 miles. If the gravitational
acceleration of the earth surface is 32.16 ft/sec2., what is the velocity of escape from the earth in miles/sec.?
Mathematics “CE Board Exam May 1998″
The perpendicular offset distance from a point on a simple
curve to Q on the tangent line is 64 m. if the distance from
the P.C. to Q on the tangent is 260 m., compute the radius of the simple curve.
Mathematics “CE Board Exam May 1998″
A tape has a standard length at 20°C. was measured at a
temperature of 3°C. coefficient of thermal expansion is
0.0000116 m./ °C and its true horizontal length is 865.30
m, what is the measured length?
Mathematics “CE Board Exam May 1998″
The transit is set up at A and a stadia was placed at a
distance of 194.20 m. from A. The stadia intercept was
recorded to be 1.94. If the stadia constant is 0.30, determine the stadia interval factor.
Mathematics “CE Board Exam May 1998″
Find the slope of the line having the parametric equation y = 4t + 6 and x = t + 1.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Mathematics “CE Board Exam May 1998″
Find the volume of a cone to be constructed from a sector having a diameter of 72 cm. and a central angle of 150°.
Mathematics “CE Board Exam May 1998″
From a speed of 60 kph, a train decelerates at the rate of 2
m/min2. along the path. How far in meters will it travel after 14 minutes?
Mathematics “CE Board Exam May 1998″
Given a compound curve with I1 = 28°, I2 = 31°, D1 = 3°,
D2 = 4°. Compute the stationing of the P.C.C. if P.I. is at
station 30 + 120.5
Mathematics “CE Board Exam May 1998″
Using the prismoidal correction formula, compute the
corrected volume of cut and fill between stations 70 m.
apart if the areas of irregular sections in cut at the stations
are 26 sq.m. and 84 sq.m. respectively. Base width = 8m.,
sideslope is 1:1.
Mathematics “CE Board Exam May 1998″
The volume of the water in a hemisphere having a radius of 2m. is 2.05 m3. Find the height of the water.
Mathematics “CE Board Exam May 1998″
Determine the diameter of a closed cylindrical tank having a volume of 11.3 cu.m. to obtain minimum surface area.
Mathematics “CE Board Exam May 1998″
Mathematics “CE Board Exam May 1998″
Determine the velocity sum of the progression if there are 7 arithmetic mean between 3 and 35.
Mathematics “CE Board Exam May 1998″
Determine the velocity of progress with the given equation
Mathematics “CE Board Exam May 1998″
The boat travels downstream in 2/3 the time as it does
going upstream. If the velocity of the river current is 8 kph, determine the velocity of the boat in still water.
Mathematics “CE Board Exam May 1998″
Compute the distance between the directress of the curve
9x2 + 25y2 – 54x – 250y + 481 = 0
Mathematics “CE Board Exam May 1998″
Evaluate the integral of 5 Cos6 x Sin2 x dx if the upper limit is π/2 and the lower limit is zero.
Mathematics “CE Board Exam May 1998″
Given the two sides of the triangle ABC as AB = 2 cm, BC = 8 cm. Find the possible length of side AC.
Mathematics “CE Board Exam May 1998″
A circle having an area of 452 m2 is cut into two segments
by a chord which is 6m. from the center of the circle.
Compute the area of the biggest segment.
CE BOARD 1998
PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER
CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION
Mathematics “CE Board Exam May 1998″
Compute the equivalent rate of 6% compounded semi-annually to a rate compounded quarterly.
Mathematics “CE Board Exam May 1998″
A trough having an equilateral triangle end sections has
sides equal to 0.3 m. and 6 m. long. Find the volume of
water in container if the depth of water is one half the depth
of the trough.
Mathematics “CE Board Exam May 1998″
Find the length of the arc of the circle x2 + y2 = 64 at x = -1, and x = -3.
Mathematics “CE Board Exam May 1998″
The area bounded by the curve y = 2x1/2 and the line y = 6
and the y-axis is to be revolved at the line y = 6. Determine the centroid of the volume generated.
Mathematics “CE Board Exam May 1998″
Find the slope of the curve x2 + y2 – 6x + 10y + 5 = 0 at point (1, 0)
Mathematics “CE Board Exam May 1998″
The log of the quotient M/N and the log of the product MN
is equal to 1.55630251 and 0.352182518 respectively. Find the value of M.
Mathematics “CE Board Exam May 1998″
Find the length of the latus rectum of the curve y2 = -12x