CE Board Exam 1998

CE BOARD 1998 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. P 2 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 xcomponent of the resultant force. 2) Which of the following most nearly gives the ycomponent of the resultant force. 3) Which of the following most nearly gives the zcomponent of the resultant force.

Design and Construction “CE Board Exam Nov. 1998″

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%.

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) 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.

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.

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CE BOARD 1998 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.

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 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.

1) Shear in end members at first interior support………………………………….………(1.15wL’/2 )

A) For positive moment

2) Shear at the other support …………………... (wL’/2)

-(wL’2/16)

C) Shear Forces:

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)

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.

More than two spans ………………………… - (wL’2/10) 2) Negative moment at other faces of interior supports……………………………………

1) Which of the following most nearly gives the moment at A. (wL’2/11) 2) Which of the following most nearly gives the moment at B.

3) Negative moment at face of all supports for

3) Which of the following most nearly gives the moment at C.

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)

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CE BOARD 1998 Design and Construction “CE Board Exam Nov. 1998″

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 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.

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.

1) Which of the following most nearly gives the minimum diameter of rivets not the exceed allowable shear stress.

2) Which of the following gives the smallest allowable compressive stress. 3) Which of the following gives the most economical setion. Section 2- < 120×80x10 2- < 1150×90x12 2- < 180×100x10

Area(m2) 0.0056 0.0062 0.0079

rx(m) 0.040 0.052 0.060

Properties of sections W 16 x 58 W 18 x 31 d = 403mm Flange thickness = 11mm Web thickness = 10mm

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.

ry(m) 0.018 0.021 0.026

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CE BOARD 1998 Design and Construction “CE Board Exam Nov. 1998″

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.

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 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.

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.

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 May 1998″ Design and Construction “CE Board Exam Nov. 1998″ From the beam shown in the figure.

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

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.

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.

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CE BOARD 1998

Design and Construction “CE Board Exam May 1998″ For the forces in the figure shown

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:

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

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 threemoment equations of two-span beam. 2) Determine the value of the expression:

Unit weight of concrete = 24kN/m3 Unit weight of soil = 16kN/m3 Allowable soil pressure = 200kPa PD = 200kN/m PL = 180kN/m

Representing the contribution of the triangular load acting on the triangular load acting on the span bc, to the threemoment equations of two-span beam. 3) Compute the maximum negative moment.

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CE BOARD 1998 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.

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.

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) 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) 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.

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.

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CE BOARD 1998 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.

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

1) Determine the maximum positive bending moment, n kN-m.

d) Unconfined compression test

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CE BOARD 1998 Hydraulics “CE Board Exam May 1998″

Hydraulics “CE Board Exam May 1998″

The velocity at which the change from laminar to turbulent flow occurs is:

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.

a) b) c) d)

lower than that from turbulent to laminar equal to that from turbulent to laminar higher than that from turbulent to laminar 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?

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.

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″ 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.

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CE BOARD 1998 Hydraulics “CE Board Exam May 1998″

Hydraulics “CE Board Exam May 1998″

On slow filter, thin gelatinous surface coat of biological growth maybe develop.

Assuming the same cross sectional area and slope, which of the following channel shapes will give the highest discharge?

a) b) c) d)

facultative biomass sludge bulking Shmuthdecke

Hydraulics “CE Board Exam May 1998″ Type of bacteria found in water which lives and developed without oxygen.

a) b) c) d)

facultative Bacilli sponge anaerobic

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″

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.

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″

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?

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″ 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.

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.

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CE BOARD 1998

Hydraulics “CE Board Exam May 1998″

Hydraulics “CE Board Exam Nov. 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.

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 May 1998″

Hydraulics “CE Board Exam Nov. 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.

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 May 1998″

Hydraulics “CE Board Exam Nov. 1998″

Compute the critical depth for a rectangular canal having a critical velocity of 4 m/s.

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 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″ 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″

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.

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″

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.

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.

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CE BOARD 1998 Hydraulics “CE Board Exam Nov. 1998″

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?

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″ 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″

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″

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.

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″

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.

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″ 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.

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.

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CE BOARD 1998 Hydraulics “CE Board Exam Nov. 1998″

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).

The hydraulic and energy gradients for a straight pipe and uniform diameter are parallel with each other because of: a) b) c) d)

uniform velocity uniform pressure drop constant slope of pipe none of these

Hydraulics “CE Board Exam Nov. 1998″ 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.

A sewer intended to carry only sanitary sewage. a) b) c) d)

sanitary sewer outfall sewer storm sewer combined sewer

Hydraulics “CE Board Exam Nov. 1998″ Which of the statement is true.

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) b) c) d)

Aqueduct Gravity conduit canal 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

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) b) c) d)

Equipotential lines Flow lines Flow diagrams 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) b) c) d)

Coagulation Fluorosis Calcium addition Fluoridation

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CE BOARD 1998 Mathematics “CE Board Exam Nov. 1998″

Mathematics “CE Board Exam Nov. 1998″

The slope of the curve x=6y3 – 2y2 at (6, 3) is equal to:

Find the radius of curvature of the curve 4x – y2 = 0 at point (1,2).

Mathematics “CE Board Exam Nov. 1998″ Find the sum of the geometric progression 2x, 4x+14, 20x14 …. Up to the 10th term.

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″ 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.

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″ 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.

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″ Mathematics “CE Board Exam Nov. 1998″ A traverse has the following data: 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?

LINE

BEARING

DISTANCE

AB

N. 73°23’ E

33.48

BC

S. 39°30’ E

8.11

Mathematics “CE Board Exam Nov. 1998″ CD

S. 43°40’ W

39.42

Find the area of the region bounded by the polar curve r2 = a2 Cos 2θ

DE

N. 39°50’ W

7.08

Mathematics “CE Board Exam Nov. 1998″

EA

N. 17°33’ W

22.02

Determine the amount of correction for the latitude of the line CD using transit rule.

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION

CE BOARD 1998 Mathematics “CE Board Exam Nov. 1998″

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.

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 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 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″

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.

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″

Mathematics “CE Board Exam Nov. 1998″

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.

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?

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″

Find the distance from a point (5, -3) to the line 7x – 4y = 28.

Mathematics “CE Board Exam Nov. 1998″

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?

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″

Mathematics “CE Board Exam Nov. 1998″

Find the length of the common chord of the curves x2 + y2 = 64 and x2 + y2 – 16x = 0.

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″ The area bounded by the curve x3 = y, the line y = 8 and the y-axis. Determine the centroid of the volume generated.

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION

CE BOARD 1998 Mathematics “CE Board Exam Nov. 1998″

Mathematics “CE Board Exam May 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.

The angular speed of a flywheel having a diameter of 6m. is 20 rpm. Compute its tangential velocity.

Mathematics “CE Board Exam May 1998″ 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

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″ Mathematics “CE Board Exam May 1998″ A closed traverse has the following data. Compute the bearing of line 1-2.

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.

LINE

BEARING

DISTANCE

1-2

————-

58.7

Mathematics “CE Board Exam May 1998″

2-3

————-

27.3

3-4

N. 86.78° E.

35.2

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?

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 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.

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION

CE BOARD 1998 Mathematics “CE Board Exam May 1998″

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°.

Determine the velocity sum of the progression if there are 7 arithmetic mean between 3 and 35.

Mathematics “CE Board Exam May 1998″

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?

Determine the velocity of progress with the given equation

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″ 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″ 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″

Mathematics “CE Board Exam May 1998″

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.

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″

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.

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″

Mathematics “CE Board Exam May 1998″

Compute the distance between the directress of the curve 9x2 + 25y2 – 54x – 250y + 481 = 0

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.

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION

CE BOARD 1998 Mathematics “CE Board Exam May 1998″ Compute the equivalent rate of 6% compounded semiannually 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

PHILIPPINE INSTITUTE OF CIVIL ENGINEERS – UAE CHAPTER CIVIL ENGINEERING BOARD EXAM 2013 PREPARATION