Prob. 1: A pumping test was made in sands extending to a depth of 22 m where an impermeable stratum was encountered. The initial ground level was at the ground surface. Observation wells are sited at a distance of 6 m and 12 m from the pumping well. A steady state was established at about 18 hours when the discharge was 4.6 liters/second. The drawdowns at the two observation wells were 1.8 m and 0.90 m. Find the coefficient of permeability.

Prob. 2: An artesian well is pumped at the rate of 28 liters/sec at observation wells 150 m and 300 m away the drawdown noted are 0.87 m and 0.7 m respectively. The thickness of the acquifer at the observation wells is 7.4 m. Compute the coefficient of permeability of the acquifer if the water level was 15 meters before pumping.

Prob. 3-4: A 20 km2 watershed area is shaped such that the distance of the outlet point to the farthermost edge of the catchment area is 500 m. The land is agricultural and the runoff coefficient is estimated to be 0.30. The main channel slope is 0.005. Find:3.) Time of concentration, Tc.4.) If the intensity of 20.25 min rain is 74 mm/hr, find the discharge in m3/hr.

Prob. 5: The rainfall depth measured during a 2 and hour rain was 84 mm. Compute the intensity of the rainfall.

Prob. 6: The maximum length of travel in a watershed is 4700 m. The mean channel slope is 0.007. Determine the time of concentration.

Prob. 7-9: A rectangular channel is 7.9 m wide and is cut in rock for which n is assumed to be 0.017. The discharge is 22 m3/sec. The channel is divided into three consecutive sections of varying slopes. In the first section S1 = 0.012, in second S2 = 0.05 and in the last S3 = 0.006.7.) First normal depth.8.) Second normal depth.9.) Third normal depth.

Prob. 10-13: A storm drain 3.6 m in diameter flows half full at a section where the slope is 0.001 n for the drain pipe is 0.018. The drain empties into a canal 3 m wide base and slide slopes of 1 vertical on 5 horizontal. The slope of the canal is 0.002. Depth of flow is 1.5.10.) The hydraulic radius of the drain pipe is.11.) The flow is12.) The value of n for the earth canal is13.) The hydraulic radius of the canal is

Prob. 14-17: The discharge of creek was measured to be 0.5 cubic meters per second at 9 A.M. and 0.6 cu.m/sec at 4 P.M. on the same day. The area of the flow was 1,445 sq. m during the first measurement and 1.57 during the second measurement.14.) Velocity of flow first measurement,15.) Velocity of flow second measurement,16.) Average velocity of the flow,17.) Average temporal acceleration during this time period,

Prob. 18: A 30 m wide river section 2000 m long. The inflow discharge is 45 m3/sec and the outflow discharge is 30 m3/sec. How much will be the change of the average water level in the stream if the given flow conditions are maintained for a period of three hours?

Prob. 19: A mountain creek discharges 3 m3/sec ( 105.9 ft3/s) along a rocky channel without apparent freezing in subzero weather. The channel elevation is reduced by a height of 80 m (264.4 ft) over a channel length of 1 km (0.6 mile). The flow in the channel is uniform. Compute the beat energy by the moving water that prevents its freezing.

Prob. 20-23: Determine the number of bags of cement ( 1 bag = 1 cu.ft) and the quantities of the other aggregates required for 20 cu.m of concrete of 1:2:4 mix with the following given:Cement: Specific Gravity = 3.10 and wt. / cu.ft = 94 lbs.Sand: Specific Gravity = 2.65 and wt. / cu.ft = 105 lbs.Gravel: Specific Gravity= 2.50 and wt. / cu.ft = 95 lbs.Use 7 gallons of water to every bag of cement20.) No. of bags needed.21.) Volume of sand needed.22.) Volume of gravel needed.23.) Volume of water needed in gallons.

Prob. 24-27: A concrete mixture of 1:1-1/2:3 by volume with 5 gallons of water per sack of cement is volume of concrete per sack of cement will result, find:24.) Absolute volume of cement in cu.ft25.) Absolute volume of sand in cu.ft.26.) Absolute volume of gravel in cu.ft27.) What volume of concrete per sack of cement will result.

Prob. 28-32: A concrete mixture is specified as 1:2:4 by loose volume with 6 gal of water per sack of cement. What weight of each ingredient is required to produce 2 cu. yd of concrete? Use the following data for cement, sand and stone, respectively percent solid, 48.5, 62, and 64; specific gravity, 3, 10, 2.62, and 2.66. Find:28.) No. of sacks required.29.) Weight of cement in lbs.30.) Weight of sand in lbs.31.) Weight of gravel in lbs.32.) Weight of water in lbs.

Prob. 33: As per ACI code the capacity reduction factor of concrete members according to type of stress for shear and torsion is,Prob. 34: Flexural member with overall depth to clear span ratios greater than 2/5 for continuous span or 4/5 simple spans are known and should be design as,Prob. 35: The area of shrinkage and temperature reinforcement in terms of the reinforcement area to gross concrete area shall not be less than.Prob. 36: According to the ACI code for symmetrical T beam the effective width b shall not exceed _______ of the span length of the beam.Prob. 37: To resist shrinkage and temperature stresses, the ACI codes specifies the following minimum ratios of reinforcement area to gross concrete area,Prob. 38: A reinforced concrete beam has the following properties:Beam width, b320 mmEffective depth, d640 mmConcrete strength, fc25 MPaReinforcing steel, fy400 MPaReinforcing steel modulus, Es200,000 MPaIf the beam is not to be designed for a balanced condition, find the required area of steel reinforcement in mm2.

Prob. 39-41: A rectangular concrete beam has a width of 300 mm and an effective of 550 mm. The beam is simply supported over a span of 6 m and is used to carry a uniform dead load of 25 kN/m and a uniform live load of 40 kN/m. Assume fc = 21 MPa and fy = 312 MPa. Compression reinforcement if necessary shall be placed at a depth 80 mm from the outermost compression concrete.39) Which of the following most nearly gives the maximum tension steel area for singly reinforced condition.40) Which of the following most nearly gives the required tension steel area in square mm.41.) Which of the following nearly gives the required number of 25 mm tension bars?

Prob. 42-43: Determine the flexural stresses in this member using the transformed area method.42.) fc43.) fs

Prob. 44: Determine the nominal moment capacity Mn for the rectangular beam if b = 18 in, d = 25.5 in, 4#10 bars, fc = 3.0 ksi and fy= 60 ksi.Prob 45: Determine the nominal moment capacity Mn for the rectangular beam if b = 15 in, d = 21 in, 3#11 bars, fc = 4.5 ksi and fy= 60 ksi.Prob. 46: Determine the nominal moment capacity Mn for the rectangular beam if b = 18 in, d = 21 in, 6#10 bars, fc = 4.0 ksi and fy= 60 ksi.Prob. 47: Determine the nominal moment capacity Mn for the rectangular beam if b = 300 mm, d = 550 mm, 4#29 bars, fc = 24 MPa and fy= 420 MPa.Prob. 48: Determine the nominal moment capacity Mn for the rectangular beam if b = 350 mm, d = 660 mm, 3#32 bars, fc = 30 MPa and fy= 420 MPa.

Prob. 49-50: The estimated service or working axial loads and bending moments for a particular column are as follows: D = 100 k, L = 40 k, MD = 30 ft.k and ML = 16 ft.k.49.) Compute the axial load value that must be used in the design.50.) Compute the moment value that must be used in the design.