CE Board MSTC Problem 10 (Simple Interest)

(CE May 1997) A time deposit of P110,000 for 31 days earns P890.39 on maturity date after deducting the 20% withholding  tax on Interest income. Find the rate of interest per annum.

CE Board MSTC Problem 9 (Simple Interest)

(CE May 1999) The tag price of a certain commodity is for 100 days. If paid in 31 days, there is 3% discount. What is the Simple Interest paid?

CE Board MSTC Problem 8 (Simple Interest)

(CE Nov 2005) An engineer borrowed a sum of money under the following terms: P650,000 if paid in 90 days or P600,000 if paid in 30 days. What is the equivalent annual Rate of Simple Interest

CE Practice MSTC Problem 8 (Simple Interest)

A man is required to pay P57,500 at the end of 30 days or P60,000 at the end of 60 days. Determine the Rate of Interest 

CE Practice MSTC Problem 7 (Simple Interest)

Determine the ordinary Simple Interest on P800 for 9 months and 16 days if the rate of interest is 17%

CE Board MSTC Problem 7 (Simple Interest)

(CE April 2024) Sovereign governments borrow money by selling Treasury bills. Treasury bills are discounted notes issued by them. On May 5, 2011, Blutz purchased a 182-day, $1000 Treasury bill at 0.15% discount. On the date of maturity, Blutz will receive $1000. What is the actual rate of Interest Rate of the Treasury bill?

CE Practice MSTC Problem 6 (Simple Interest)

Determine the exact Simple Interest on P1,000 which was deposited on January 8, 1990 and to be withdrawn on October 8, 1992 if the interest, i = 10%

CE Practice MSTC Problem 5 (Construction Methods)

Find the swell of a soil that weights 1661 kg/m³ in its natural state and 1186 kg/m³ after excavation

CE Practice MSTC Problem 4 (Construction Methods)

Determine the expected dragline production in loose cubic meter (LCM) per hour based on the following information

Dragline size = 1.5 m³
Swing angle = 120 deg
average depth of cut = 2.4 m
Material = common earth
Job Efficiency = 50 min/hr
Soil swell = 25%

CE Practice MSTC Problem 3 (Construction Methods)

Find the expected production in loose cubic meter (LCM) per hour of a 2.3 m³ hydraulic shovel equipped with a front dump bucket. The material is common earth with a bucket fill factor; of 1.0 .The average angle of swing is 75 degrees, and job efficiency is 0.80

CE Board MSTE Problem 6 (Construction Methods)

CE NOV 2021 - Estimate the hourly production in loose volume (LCM) of a 2.68 m³ wheel loader, excavating sand and gravel (average material) from a pit and moving it to a stockpile. The average haul distance is 61 m. Effective Grade is 6%, bucket fill factor is 1.0, and Job efficiency is 50 min/hr

Basic Time Cycle = 0.50 min
Travel Time = 0.30 min

CE Board MSTE Problem 5 (Construction Methods)

(CE NOV 2023) Find the expected production in loose cu.m (LCM) per hour of a small hydraulic excavator. Heaped bucket capacity is 0.57 m³ .The material is sand and gravel with a bucket fill factor of 0.95 .Job efficiency is 50  min/hr .Average depth of cut is 4.3 m. max. depth of cut is 6.1 m and average swing is 90

CE Board MSTE Problem 4 (Construction Methods)

(CE May 2022) A crawler tractor weighing 36 Ton is towing a rubber-tired scraper weighing 45.5 Ton up a grade of 4%. What is the Total Resistance, in kg, of the combination if the rolling resistance factor is 50 kg/t

CE Board MSTE Problem 3 (Construction Methods)

(CE NOV 2022) A wheel tractor scraper weighing 91 Tons is being operated on a haul road with tire penetration of 5 cm. What is the Total Resistance, in kg, and Effective Grade when the scraper is descending a slope of 5% ?

CE Board MSTE Problem 2 (Construction Methods)

(CE APRIL 2023) The machine has an owning and operating cost of $40.5 per hour. Operator in the area where the proposed work will be performed are paid a wage of $15.5 per hour. What is the unit cost for pushing the material?

CE Board MSTE Problem 1 (Construction Methods)

(CE APRIL 2023) A power Shift Crawler Tractor has a rated blade capacity of 7.65 loose m³ (LCM). The dozer is excavating loose common earth and pushing it a distance of 61 m. max reversed speed in third range is 8 kph. Estimate the Production of the dozer if Job efficiency is 50  min/hr, fixed time = 0.05 min, dozing speed = 4 kph

CE Practice MSTC Problem 2 (Construction Methods)

Estimate the actual Bucket Load, in bank cubic meters (BCM), for a loader bucket whose heaped capacity is 3.82 m³The soil’s bucket fill factor is 0.9 and its loader factor is 0.8

CE HGE Practice Problem 2

A certain liquid has a unit weight of 56 kN/m³. Compute the following:

a. Mass Density
b. Specific Volume
c. Specific Gravity

CE HGE Practice Problem 1

The specific gravity of alcohol is 0.79. Unit weight of water is 9.79 kN/m³.
Determine the specific weight, in kN/m³ and mass density, in slugs/ft³

CE Board HGE Problem 81 (Pipes)

(CE May 2014) A discharge of 600 L/s flows through a pipe having a diameter of 400 mm. Length of 40 m long, Compute the Head Loss of the pipeline using :

a. Manning’s Equation with n = 0.013
b. Darcy Weishback’s Formula with f = 0.012
c. Hazen William’s Formula with C = 100

CE Board HGE Problem 80 (Pipes)

(CE May 2015) A straight pipeline having a diameter of 0.15 m and roughness coefficient, n = 0.015 conveys water. If the total Head Loss per kilometer length of pipe is 6 m estimate the Discharge

CE Board HGE Problem 79 (Pipes)

(CE May 2015) Water flows at the rate of 0.003 m³/s in a 100 mm diameter pipe. Assuming n = 0.025, Find the Head Loss per kilometer length of Pipe.

CE Board HGE Problem 78 (Pipes)

(CE Nov 2011) A liquid having a Reynolds number of 1,900 flows thru a 20 mm diameter pipe, 150 m long. The head loss of the pipe due to friction is 22 m.

a. Compute the Friction Factor
b. Compute the Kinematic Viscosity of the liquid, in m²/s
c. Compute the Rate of Flow, in L/hr

CE Board HGE Problem 77 (Pipes)

(CE Nov 2019) Determine the Discharge flowing in a pipe having a diameter of 150 mm and a head loss of 3 m/km. Friction factor = 0.025

CE Board HGE Problem 76 (Pipes)

(CE May 2015) Oil (G = 0.80) flows in a 75 mm diameter pipe, 500 m long at the rate of 20 N/s. Assuming f = 0.025, What is the Head Loss?

CE Board HGE Problem 75 (Pipes)

(CE May 2017) Determine what Diameter of pipe will carry 300 liters per minute with a loss of head of 0.50 m in 300 m. The friction factor is 0.025

CE Board HGE Problem 74 (Pipes)

(CE May 2017) Obtain the volume of flow, in L/s , that will pass through a 300 mm pipe with a head loss of 5 m per kilometer. The pipe has a coefficient of friction of 0.025

CE Board HGE Problem 73 (Pipes)

(CE April 2024) Water flows at 20 L/s  through 500 m of 150 mm diameter pipeline having a coefficient of friction of 0.02. Calculate the Head Loss for the length of pipeline.

CE Board HGE Problem 72 (Pipes)

(CE April 2024) A 3 m diameter pipeline of length 2500 m. conveys water between reservoirs at the rate of 10 m³/s .What must be the difference in water surface elevation between the two reservoirs, in meters. neglect minor loss. Coefficient of friction is 0.018

CE Board HGE Problem 71 (Hydraulics and Geotechnical Engineering)

(CE April 2023) A Trapezoidal canal has a bottom width of 4 m and a side slope of 2 horizontal to 1 vertical. When the depth of flow is 1.2 m, the flow is 30 m³/s The roughness coefficient, n = 0.015. Evaluate the Slope of the channel using Manning’s Formula.

CE Board HGE Problem 70 (Hydraulics and Geotechnical Engineering)

(CE April 2023) A Trapezoidal canal has a bottom width of 6 m and  a side slope of 2 horizontal to 1 vertical. When the depth of the flow is 1.2 m  and the rate of flow is 20.4 m³/s

a. Compute the Specific Energy, in meters
b. If the roughness coefficient, n = 0.015, obtain the Slope of the canal using Manning’s Formula.
c. Compute the Average Shearing Stress at  the Boundary over the surface of the channel, N/m²

CE Board HGE Problem 69 (Hydraulics and Geotechnical Engineering)

(CE April 2024) An irrigation canal with trapezoidal cross-section has the following dimensions:

Bottom width = 2.50 m
Depth of water = 0.90 m
side slope = 1.5 H to 1 V
Coefficient of Roughness = 0.025
Slope of channel bed = 0.001

The canal will serve clay-loam Riceland for which the duty of water per hectare is 3 Liter / sec. Using Manning’s Formula, estimate the number of hectares served by the irrigation canal

CE Board HGE Problem 68 (Hydraulics and Geotechnical Engineering)

(CE Nov 2013) A rectangular channel carries a discharge of 18.4 m³/s when flowing 1.2 m depth. If the width of the canal is 10 m

a. Compute the Minimum Specific Energy
b. Compute the normal Slope. IF n = 0.014
c. Compute the Average Shear Stress of the boundary, in N/m²

CE Board HGE Problem 67 (Hydraulics and Geotechnical Engineering)

(CE April 2024) Water 2.4 m deep flows at a rate of 12 m³/s in a trapezoidal channel 3 m at the base and 5 m wide at the water surface. Evaluate the discharge Velocity, in m/s

CE Board HGE Problem 66 (Hydraulics and Geotechnical Engineering)

(CE May 2014) A rectangular channel carries a discharge of 16.9 m³/s when flowing 1.2 m depth. If the width of the canal is 10 m

a. Compute the Specific Energy
b. Compute the normal Slope. IF n = 0.017
c. Compute the Average Shear Stress of the boundary, in N/m^2  

CE Board HGE Problem 65 (Hydraulics and Geotechnical Engineering)

(CE Dec 2014) A rectangular channel 5.4 m wide by 1.2 m deep is lined with smooth stone, well laid and has a hydraulic slope of  0.001. Using n = 0.013

a. Capacity of the Channel, in m³/s
b. What savings in earth excavation could have been offered by using more favorable proportions but adhering to the same delivery and slope?
c. What savings in lining per meter length by  using more favorable proportions but adhering to the same delivery and slope?

CE Board HGE Problem 64 (Hydraulics and Geotechnical Engineering)

(CE Dec 2014) A rectangular channel carries 60 m³/s For a width of 4 m and n = 0.020

a. Critical Depth
b. Critical Velocity
c. Critical Slope

CE Board HGE Problem 63 (Hydraulics and Geotechnical Engineering)

(CE Nov 2015) A rectangular channel 6 m wide has a constant specific energy of 2.2 m

a. Critical Depth
b. Critical Velocity
c. Critical Slope

CE Board HGE Problem 62 (Hydraulics and Geotechnical Engineering)

(CE May 2015) Evaluate the discharged velocity of water, in m/s flowing at a rate of 10 m³/s on a rectangular channel 5 m at the base and 4 m depth. 

CE Board HGE Problem 61 (Hydraulics and Geotechnical Engineering)

(CE May 2019) Water flows through a rectangular irrigation canal, 500 mm deep by 1 m wide with a mean velocity of 2 m/s .Determine the rate of flow, m³/min

CE Board HGE Problem 60 (Hydraulics and Geotechnical Engineering)

(CE April 2024) A rectangular irrigation canal is 5.4 m wide and 1.2 m deep has a hydraulic slope of 0.001 and a roughness coefficient of 0.013. Evaluate the appropriate depth of the canal, in meters using the more appropriated dimensions but adhering to the same discharge and slope.

CE Board HGE Problem 59 (Hydraulics and Geotechnical Engineering)

(CE April 2024) The unit weight of a liquid is variable and is given by the relation 𝛾=12+0.5h , where 𝛾 , in kN/m³  ,and h is the depth of the liquid from the surface, in meters. Determine the gage pressure, in kPa, at a depth of 3 m. 

CE Board HGE Problem 58 (Hydraulics and Geotechnical Engineering)

(CE April 2024) An improvised Barometer uses a liquid which was observed to weigh 0.80 times of mercury. At the base of the mountain the barometer reads 950 mm. At the same instant, another barometer of the same land at the top of the mountain reads 600 mm. Determine the height of the mountain, in km

CE Board HGE Problem 57 (Hydraulics and Geotechnical Engineering)

(CE April 2024) The total weight of soil when fully saturated is 1600 g and the weight of the soil after drying is 1000 g. If the specific gravity of the soil grains is 2.67 .Evaluate the following:

a. Moisture Content, in %
b. Void Ratio
c. Porosity

CE Board HGE Problem 56 (Hydraulics and Geotechnical Engineering)

(CE April 2024) A sample of saturated soil has 30% water content and the specific gravity of the soil grain is 2.6. Determine the following:

a. Dry Density, in g/cm³
b. Void Ratio
c. Saturated Unit Weight
d. Porosity 

CE Board HGE Problem 55 (Hydraulics and Geotechnical Engineering)

(CE April 2024) A soil has a bulk density of 2.3 g/m³ and water content of 15%. Determine the dry density of the sample.

CE Board HGE Problem 54 (Hydraulics and Geotechnical Engineering)

(CE April 2024) Evaluate the plastic settlement, in meters,on a layer of plastic clay due to an increase of pressure caused by loads above it.

Under the following conditions:

Initial intergranular pressure = 180 kPa
Increase in intergranular  pressure = 120 kPa
Thickness of clay layer = 8 m
Coefficient of consolidation = 0.315
Void Ratio of the clay = 1.132

CE Board HGE Problem 53 (Hydraulics and Geotechnical Engineering)

(CE April 2024) The dry unit weight of a soil mass is obtained to 15 kN/m³ .If water is added to the soil mass so that the water (moisture) content is 25%, evaluate the unit weight of the soil, in kN/m³ 

CE Board HGE Problem 52 (Hydraulics and Geotechnical Engineering)

(CE April 2024) A layer of soft clay having an initial void ratio of 1.0 is 8 m thick. Under a compressive load applied above it. The void ratio decreased by one-half. Evaluate the Reduction in the thickness of the clay layer. 

CE Board HGE Problem 51 (Hydraulics and Geotechnical Engineering)

(CE Nov 2003) The volume of a tetrachloride having a mas of 1200 kg is 

0.952 cu.m. Calculate the following:

a. Mass Density

b. Specific Weight

c. Specific Gravity

CE Board HGE Problem 50 (Hydraulics and Geotechnical Engineering)

(CE Nov 1995) If 5.6 m3 of oil weighs 46,800 N,

Calculate the following:

a. Unit Weight

b. Density

c. Specific Gravity

CE Board HGE Problem 49 (Hydraulics and Geotechnical Engineering)

(CE April 2023) What height of mercury column will cause at 690 kPa?

CE Board HGE Problem 48 (Hydraulics and Geotechnical Engineering)

(CE Nov 2023) An airplane at an altitude of 10 km dropped to a height of 6 km.

What is the corresponding change in pressure?

unit weight of air is 12 N / m³

CE Board HGE Problem 45 (Hydraulics and Geotechnical Engineering)

(CE April 2023) A sample of soil having a water content of 25% has a mass specific gravity of 1.62. the specific gravity of the soil grains is obtained to be 2.57.

a. Evaluate the void ratio of the soil mass.

b. Evaluate the porosity of the soil mass in percent.

c. Evaluate the degree of saturation of the soil mass in percent.

CE Board HGE Problem 44 (Hydraulics and Geotechnical Engineering)

(CE Nov 2023) A cohesive soil sample was taken from an SPT and taken to the laboratory in a glass jar. It was found to weigh 140 grams. The sample was then placed in a container having a volume V=500 cm³ and 400cm³ of water were added to fill the container. Evaluate the unit weight of the soil in kN/m³

CE Board HGE Problem 47 (Hydraulics and Geotechnical Engineering)

(CE April 2024) The velocity head at one point of a pipeline is 5 m. What would be the velocity head at the point of the pipeline if the velocity is increased by half of the original velocity.

CE Board HGE Problem 46 (Hydraulics and Geotechnical Engineering)

(CE April 2024) A layer of soft clay having an initial void ratio of 1.2 is 6 m thick. Under a compressive load applied above it. The void ratio decreased by one-third .Evaluate the reduction in the thickness of the clay layer. 

CE Board HGE Problem 43 (Hydraulics and Geotechnical Engineering)

(CE Nov 2021) Mercury Barometer reads 660 mm

a. What would be the corresponding reading of a water barometer ?

b. What is the atmospheric Pressure in kPa ?

c. What is the approximate elevation above sea level assuming atmospheric conditions ? Neglect vapor pressure. Unit Weight of air is 12 N ⁄ m³

CE Board HGE Problem 42 (Hydraulics and Geotechnical Engineering)

(CE Nov 2021) A manometer is attached to a conduit as shown what is the Pressure at A given the following :

CE Board HGE Problem 41 (Hydraulics and Geotechnical Engineering)

(CE Nov 2021) A volume of 1 m³ of water is subjected to a pressure increase of 14 MPa. Compute the change in its volume if it has a Bulk modulus of Elasticity of 2200 MPa

CE Board HGE Problem 40 (Hydraulics and Geotechnical Engineering)

(CE May 2019) Evaluate the kinetic Energy of a unit weight of water in meters, flowing at 4 m⁄s 

CE Board HGE Problem 39 (Hydraulics and Geotechnical Engineering)

(CE April 2024) according to the westerguard theory, the vertical stress at a point below the surface of a semi-infinite, homogeneous, isotropic soil mass due to a point load Q applied at the ground surface.

CE Board HGE Problem 38 (Hydraulics and Geotechnical Engineering)

(CE NOV 2021) The velocity head at one point of a pipeline is 5 m, what would be the velocity head at the point of the pipeline if the velocity is increased by half of the original velocity?

CE Board HGE Problem 37 (Hydraulics and Geotechnical Engineering)

(CE May 2017) In accordance with Rankine's theory for lateral active earth pressure on a retaining wall, with horizontal backfill. What angle of internal friction, in degrees, results in a coefficient of lateral earth pressure equal to 0.50 ?

CE Board HGE Problem 36 (Hydraulics and Geotechnical Engineering)

(CE May 2015) What is the Coefficient of Passive Resistance when the angle of internal friction is equal to 33 degrees ?

CE Board HGE Problem 35 (Hydraulics and Geotechnical Engineering)

(CE May 2022) What is the friction angle of the soil when the coefficient of passive resistance is 5 ?

CE Board HGE Problem 34 (Hydraulics and Geotechnical Engineering)

(CE Nov 2022) An unconfined compression test was conducted to a soil sample having a diameter of 50 mm. the failure load was 66 N. what is the value of the cohesion strength of the clay, in kPa 

CE Board HGE Problem 33 (Hydraulics and Geotechnical Engineering)

(CE May 2015) During an unconsolidated undrained test conducted on a soil sample. The principal stress at failure was 114 kPa. Compute the Undrained Cohesion for the unconfined compression test.

CE Board HGE Problem 32 (Hydraulics and Geotechnical Engineering)

(CE Nov 2015) For an increase of 12 kPa in the normal stress of a soil, the shear strength increased by 8 kPa. Estimate the probable angle of friction of the soil , in accordance with this criterion.

CE Board HGE Problem 31 (Hydraulics and Geotechnical Engineering)

(CE MAY 2015) The equation of the effective stress failure envelope for normally consolidated clay soil is τ = σ tan ⁡30 . A drained tri-axial test was conducted with the same soil at a chamber confining pressure of 300 kPa. Calculate the deviator stress at failure

CE Board HGE Problem 30 (Hydraulics and Geotechnical Engineering)

(CE NOV 2023) A Tri-axial shear test was performed on a well-drained sand sample. The normal stress on the failure plane and the shearing stress on the failure plane were determined to be 50 kPa and 30 kPa, respectively.

a. Determine the angle of internal friction of the sand

b. Determine the angle, in degrees, of the failure plane with respect to the horizontal plane

c. Determine the axial stress applied to the specimen

CE Board HGE Problem 29 (Hydraulics and Geotechnical Engineering)

(CE APRIL 2024) The result of a consolidated drained tri-axial soil test conducted on a consolidated clay are as follows:

Chamber confining pressure = 250 kPa

Deviator stress at failure = 350 kPa

a. Evaluate the angle of friction of the soil sample

b. Evaluate the shear stress on the failure plane

c. Evaluate the normal stress on the plane of maximum shear

CE Board HGE Problem 28 (Hydraulics and Geotechnical Engineering)

(CE NOV 2023) in a Tri-axial test of cohesionless soil, the soil cylinder was subjected to a liquid pressure of 16 kPa inside the chamber. It was observed that failure of the sample in shear occurred when the axial compressive stress reached 40 kPa. The angle of internal friction in degrees is nearest to

CE Board HGEProblem 27 (Hydraulics and Geotechnical Engineering)

(CE APRIL 2024) a layer of clay 10 m thick is overlain by a 15.2 m thick to ground surface. When the water table is at ground surface level, the saturated unit weight of the sand was determined to be 21.2  kN/m³  for which its dry unit weight is 18.2  kN/m³  . the saturated unit weight of the clay is 18.8  kN/m³ . When the ground water table lowered by 7.6 m, the degree of saturation of the sand above the water table was lowered to 30 %. At the mid-height of the clay.

a. Evaluate the effective pressure, in kPa, before lowering of the water table
b. Evaluate the effective pressure, in kPa, after lowering of the water table
c. Evaluate the effective pressure, in kPa, when there is no water in the sand layer
but remain in moist condition at the same degree of saturation

CE Board HGE Problem 26 (Hydraulics and Geotechnical Engineering)

(CE NOV 2023) A clay layer 5 m. thick rests beneath a deposit of submerged sand 8 m. thick. The top of the sand is located 3 m. below the surface of a body of water. The saturated unit weight of the sand is 25 kN/m³, and the clay is 20 kN/m³

a. evaluate the total vertical pressure at mid-height of the clay layer
b. evaluate the pore water pressure at mid-height of the clay layer
c. obtain the intergranular stress or effective stress at mid-height of the clay

CE Board HGE Problem 9 (Hydraulics and Geotechnical Engineering)

(CE MAY 2019) A sample of saturated clay has a water content of 56%. Assume a specific gravity of 2.72. Compute the following

a. Void Ratio
b. Saturated Unit Weight
c. Porosity

CE Board HGE Problem 25 (Hydraulics and Geotechnical Engineering)

(CE APRIL 2024) Evaluate the plastic settlement, in meter(s), on a layer of plastic clay due to an increase of pressure caused by loads above it under the following conditions:

initial intergranular pressure = 200 kPa

increase in intergranular pressure = 120 kPa

thickness of the clay layer = 8 m.

coefficient of consolidation = 0.315

void ratio of the clay = 1.132

CE Board HGE Problem 24 (Hydraulics and Geotechnical Engineering)

(CE NOV 2023) The laboratory compaction test of a certain type of soil gives a maximum dry density of 1.486  g/cm³ with an optimum moisture content of 12.5%. The following are the results of a field unit weight determination test using sand cone method.

volume of soil excavated from the hole = 0.001337 m³
weight of soil from the hole when wet = 2200 g
weight of dry soil = 1890 g

a. determine the field unit weight of soil
b. what is the situ water content of soil ?
c. determine the relative compaction

CE Board HGE Problem 23 (Hydraulics and Geotechnical Engineering)

(CE NOV 2013) A soil sample has a mass of 1830 g taken from the field having a volume of 1x10^(-3)  m³. It has a specific gravity of 2.60 and a water content of 10%. Values of e_max = 0.62 and e_min = 0.43

a. compute the dry density weight 

b. compute the void ratio 

c. compute the relative density

CE Board HGE Problem 22 (Hydraulics and Geotechnical Engineering)

(CE MAY 2014) The total density of a sand in an embankment was found to be 1900  kg/m³  and the field water content was 11.5%. In the laboratory, the density of solids was found to be 2660  kg/m³  and the maximum and minimum void ratio are 0.62 and 0.44 respectively.

a. What is the dry density of the sand ?

b. What is the void ratio of the sand ? 

c. calculate the relative density of the sand in the field. 

CE Board HGE Problem 21 (Hydraulics and Geotechnical Engineering)

(CE NOV 2012) The Hydraulic Gradient for quicksand condition is equal to 1.13 with a void ratio of 0.50. The Moist Unit Weight of soil is 19.04  kN/m³ 

CE Board HGE Problem 20 (Hydraulics and Geotechnical Engineering)

 (CE MAY 2016) A soil has a dry unit weight of 15  kN/m^3  and a void ratio of 0.50

a. Specific Gravity
b. Saturated Unit Weight
c. Hydraulic Gradient at critical condition

CE Board HGE Problem 19 (Hydraulics and Geotechnical Engineering)

(CE MAY 2012) Carbon tetrachloride with a mass of 500 kg is placed in container with 0.315 m³ in volume.

a. Weight

b. Unit Weight

c. Specific Gravity

CE Board HGE Problem 18 (Hydraulics and Geotechnical Engineering)

(CE MAY 2015) The moist unit weight of a soil is 16.5 kN/m³. If it has a moisture content of 15%. Determine the mass of water, in kg/m³ to be added to reach full saturation. Specific gravity of soil is 2.7

CE Board HGE Problem 17 (Hydraulics and Geotechnical Engineering)

(CE MAY 2013) A sample of dry soil is uniformly mixed with 17% by mass of water and compacted in a cylindrical mold. The volume of wet soil is 1x10^(-3)  m³ and its mass is 1.6 kg. If the specific gravity of soil particles is 2.70 and using unit weight of water is 9.81  kN/m³.

CE Board HGE Problem 16 (Hydraulics and Geotechnical Engineering)

(CE MAY 2015) A soil mass has G = 2.40. What is the largest possible unit weight of this soil ? 

CE Board HGE Problem 15 (Hydraulics and Geotechnical Engineering)

(CE MAY 2013) A soil sample has the following properties

Porosity = 0.398
Specific Gravity = 2.75

a. compute the void ratio of the soil sample.
b. compute the saturated unit weight of the soil sample.
c .compute the buoyant unit weight of the soil sample

CE Board HGE Problem 14 (Hydraulics and Geotechnical Engineering)

(CE NOV 2016) A soil has a unit weight of 21.1 kN/m³ and a moisture content of 9.8%. When the soil is saturated, the unit weight is 22.52 kN/m³. Determine the void ratio of soil. 

CE Board HGE Problem 13 (Hydraulics and Geotechnical Engineering)

(CE NOV 2017) Given the following soil properties:
Field unit weight of soil = 1800  kg/m³
Saturated unit weight = 2000  kg/m³
Moisture Content = 12 %

a. The Porosity of the soil
b. The Dry Unit Weight
c. The Degree of Saturation

CE Board HGE Problem 12 (Hydraulics and Geotechnical Engineering)

(CE NOV 2017) The porosity of a soil sample is 40%. What is the Void Ratio ?

CE Board HGE Problem 11 (Hydraulics and Geotechnical Engineering)

(CE MAY 2017) A soil has a specific gravity of 2.5, degree of saturation of 40%, and void ratio of 0.40. Obtain the Moist Unit Weight of the soil

CE Board HGE Problem 10 (Hydraulics and Geotechnical Engineering)

(CE MAY 2018) The bulk unit weight of the soil is 18  kN/m³, the specific gravity of solids is 2.5
and the moisture content is 35% .Evaluate the following:

a. Void Ratio
b. Dry Unit Weight
c. Saturated Unit Weight 

CE Board HGE Problem 8 (Hydraulics and Geotechnical Engineering)

(CE NOV 2019) The Wet unit weight of a soil sample is 14.9 kN/m³.The soil has a water content of 12% .If the specific gravity of the soil is 2.67 .Find the Dry unit weight

CE Board HGE Problem 7 (Hydraulics and Geotechnical Engineering)

(CE NOV 2019) A soil sample has a water content of 80% and a degree of saturation of 90 %. Find the Void Ratio if it has a specific gravity of 2.67

CE Board HGE Problem 6 (Hydraulics and Geotechnical Engineering)

(CE NOV 2021) The field unit weight of soil is 16  kN/m³ . If the water content is 13% and specific gravity of soil is 2.5, determine the following.

a. Dry Unit Weight
b. Void Ratio
c. Degree of Saturation 

CE Board HGE Problem 5 (Hydraulics and Geotechnical Engineering)

 (CE NOV 2022) for a given sandy soil, e_max = 0.75 , e_min = 0.46 , G = 2.68 . if D_r = 78% (relative density) and a water content of 9%
a. determine the void ratio of the soil
b. determine the dry unit weight of soil
c. what is the moist unit weight of compaction in the field?

CE Board HGE Problem 4 (Hydraulics and Geotechnical Engineering)

(CE APRIL 2023) A saturated soil has a water content of 23 % and specific gravity of 2.67

a. Determine the saturated unit weight in kN/m³
b. Determine the dry unit weight in kN/m³
c. Determine the moisture unit weight when the degree of saturation becomes 70 %

CE Board HGE Problem 3 (Hydraulics and Geotechnical Engineering)

(CE MAY 2022) Given that the field  unit weight of a soil sample is 1800  kg/m³  and the unit weight of the soil properties is 2000  kg/m³  and the moisture content of the soil is 12%

a. Evaluate the Void Ratio 

b. Evaluate its dry unit weight

c. Evaluate the degree of saturation

CE Board HGE Problem 2 (Hydraulics and Geotechnical Engineering)

(CE APRIL 2023) A sample of soil having a water content of 30 % has a mass specific gravity of 1.91 .The specific gravity of the soil grains is obtained to be 2.69.

a. Evaluate the void ratio of the soil mass.
b. Evaluate the porosity of the soil mass in percent.
c. Evaluate the degree of saturation of the soil mass in percent.