FE CIVIL – FIFTH SIMULATION

#1. Two coplanar forces act at a point: F1 = 21 N at 62° from +x and F2 = 12 N at 163° from +x. What is resultant magnitude?

33 N

22.11 N

26.53 N

9 N

#2. Two coplanar forces act at a point: F1 = 8 N at 23° from +x and F2 = 21 N at 109° from +x. What is resultant magnitude?

29 N

13 N

27.59 N

22.99 N

#3. A vertical rectangular gate (width 2.0 m) retains water to depth 1.8 m. What is resultant hydrostatic force on the gate?

31.78 kN

44.5 kN

15.89 kN

35.32 kN

#4. Use first-order linearization about x0 = 2 to estimate sqrt(4x + 18) at x = 2.08.

5.1

5.13 (1)

5.16

5.13

#5. Using LRFD combo U=1.2D+1.6L+0.5W with D=41 kip, L=92 kip, W=73 kip, what is factored load U?

212.9 kip

213.8 kip

232.9 kip

206 kip

#6. Material test results occur at values 18, 39, and 43 MPa with frequencies 7, 5, and 9. What is the weighted mean strength?

33.71 MPa

33.33 MPa

35.4 MPa

43 MPa

#7. A signalized intersection has heavy left-turn demand causing spillback. Which control strategy is most direct for reducing opposing-flow conflicts and delay?

Remove all left-turn lanes

Increase posted speed through intersection

Use stop control on all approaches simultaneously

Provide protected left-turn phasing with optimized cycle split

#8. A detention pond outlet is redesigned to reduce post-development peak flow to pre-development levels. Which principle is most directly applied?

Temporary storage with controlled release to attenuate peak discharge

Immediate bypass of all stormwater to downstream channel

Increasing impervious area to shorten time of concentration

Permanent abstraction of all runoff volume

#9. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=55 mph and kj=180 veh/mi/ln, what is qmax?

1237.5 veh/h/ln

2475 veh/h/ln

90 veh/h/ln

9900 veh/h/ln

#10. A fully restrained steel member has E=194 GPa, α=1.3e-05 /°C, and temperature rise ΔT=52°C. What thermal stress develops (σ=EαΔT)?

2.52 MPa (compression)

1311.44 MPa (compression)

131.14 MPa (compression)

6.08 MPa

#11. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=5.0 in, a2=0.14, m2=0.9, and ignoring D3, what base thickness D2 is needed?

28.57 in

14.29 in

8.57 in

20 in

#12. For earthwork, cross-sectional areas are A1=1607, Am=1295, A2=1321 ft^2 over spacing L=172 ft. What volume by prismoidal formula?

8608.494 ft^3

232429.333 ft^3

251808 ft^3

242118.667 ft^3

#13. A project allocates overhead to all departments, but one alternative requires dedicated temporary traffic control staff not used otherwise. How should this staff cost be treated in alternative selection?

As an incremental direct cost attributable to that alternative

As a non-economic externality excluded from analysis

As an unavoidable fixed cost identical for all alternatives

As a sunk cost because payroll exists

#14. A stream shows elevated BOD and low dissolved oxygen in warm weather. Which interpretation is most defensible?

Higher BOD always increases dissolved oxygen

DO is independent of temperature and biological activity

High biodegradable loading can increase oxygen consumption and depress DO, especially at higher temperatures

Only pH controls oxygen depletion in natural waters

#15. A vertical rectangular gate (width 4.0 m) retains water to depth 1.8 m. What is resultant hydrostatic force on the gate?

70.63 kN

31.78 kN

63.57 kN

89 kN

#16. Same steel column has K=1.0 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

1.44

0.694

0.833

1.2

#17. For a retaining wall with uniform surcharge q=20 kPa and active coefficient Ka=0.33, what is lateral force from surcharge over height H=7 m (per meter length)?

23.1 kN/m

6.6 kN/m

46.2 kN/m

92.4 kN/m

#18. For a retaining wall with uniform surcharge q=20 kPa and active coefficient Ka=0.33, what is lateral force from surcharge over height H=6 m (per meter length)?

39.6 kN/m

6.6 kN/m

19.8 kN/m

79.2 kN/m

#19. A flood-mitigation project provides immediate present-value benefits of $760000. Initial cost is $383000 plus annual O&M of $22000 for 9 years at 6%. What is the benefit-cost ratio?

0.701

1.427

0.427

1.777

#20. Why is disinfection placed after secondary clarification in most treatment trains?

Chlorination before aeration always minimizes byproducts

Clarification is unnecessary once disinfectant is added

Disinfection replaces need for biological treatment

Lower suspended solids improve disinfectant effectiveness and pathogen inactivation reliability

#21. Which method is commonly used to solve elementary statically indeterminate beams by compatibility and superposition?

Method of joints only

Direct stiffness prohibited for indeterminate systems

Rankine earth-pressure method

Force method (consistent deformations)

#22. Direct shear test interpretation gives c=8 kPa and φ=32°. At normal stress 140 kPa, what peak shear stress is predicted?

87.48 kPa

74.19 kPa

124.13 kPa

95.48 kPa

#23. For a reinforced concrete beam, As=5.0 in^2, fy=60 ksi, d=22 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

576.56 kip-ft

512.5 kip-ft

461.25 kip-ft

387.45 kip-ft

#24. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=6.0 in, a2=0.14, m2=1.1, and ignoring D3, what base thickness D2 is needed?

8.83 in

5.3 in

12.36 in

28.57 in

#25. A circular shaft transmits torque T=9000 N·mm. At radius r=38 mm with polar moment J=200000 mm^4, what is torsional shear stress τ=Tr/J?

1.71 MPa

64.98 MPa

0.0012 MPa

0.5848 MPa

#26. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.65, and bulk mix specific gravity Gmb=2.4, estimate air voids Va (%).

4.31%

9.16%

93.84%

6.16%

#27. A simply supported beam span 15 ft has full-span UDL w=5 kip/ft plus point load P=25 kip at x=5 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

687.5 kip-ft

293.4 kip-ft

234.38 kip-ft

187.5 kip-ft

#28. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=19, Df=1.0 m, B=2.0 m, Nq=26, Nγ=30, find qult.

3192 kPa

1064 kPa

354.67 kPa

19 kPa

#29. A 56 kg cart increases speed from 10 m/s to 21 m/s on level track. Neglecting losses, what net work is required?

3388 J

9548 J

616 J

-9548 J

#30. A fine-grained soil plots above the A-line with LL=62 and PI=34. Under USCS, what classification is most likely?

SM

CL

ML

CH (high-plasticity clay)

#31. A particle starts with speed 16 ft/s and constant acceleration 1 ft/s^2 over displacement 76 ft. Using v^2=v0^2+2as, what is final speed?

10.2 ft/s

408 ft/s

92 ft/s

20.2 ft/s

#32. A triangular construction lot has vertices at (0,0), (24,-1), and (7,14) in a Cartesian site grid measured in ft. Using the shoelace method, what is the lot area?

171.5 ft^2

85.75 ft^2

343 ft^2

336 ft^2

#33. Contract documents include drawings, specifications, and addenda. A detail conflict is found: the latest addendum revises a spec section while an older drawing note remains unchanged. Under standard precedence logic, which instruction governs?

Shop drawing preference overrides all contract documents

The oldest drawing note always governs

The most recent addendum requirement governs because it formally modifies the contract documents

Field superintendent verbal direction automatically governs

#34. Simply supported beam L=30 ft has UDL w=2.4 kip/ft plus point load P=8 kip at a=8 ft from left. What is governing positive moment (critical section approximation)?

300 kip-ft

330 kip-ft

365.17 kip-ft

474.72 kip-ft

#35. Engineer Cameron is asked to certify a retaining wall design prepared by another firm without reviewing calculations. The owner says schedule pressure requires immediate certification. Under professional ethics, what is the most defensible action?

Decline certification until competent review verifies the design meets standards

Stamp only the title sheet to avoid full responsibility

Certify if the original firm verbally confirms accuracy

Certify immediately because the owner accepts all risk

#36. Differential leveling run: BM elev=332 ft; BS1=3.06 ft, FS1=2.14 ft, BS2=6.11 ft, FS2=4.16 ft. What is ending elevation?

334.87 ft

347.47 ft

329.13 ft

339.87 ft

#37. A project requires transforming GNSS latitude/longitude points into local design coordinates tied to a state plane grid. Which sequence is most appropriate?

Use arbitrary scaling of lat/long differences as feet

Apply datum-consistent geodetic-to-grid projection, then local site calibration if specified

Convert directly to magnetic bearings and ignore projection

Use only orthometric heights to derive plan coordinates

#38. A rehabilitation program costs $22000 at year-end for 5 years. At interest rate 5%, what is the present worth?

$110000

$109535.76

$440000

$95248.49

#39. At status date: BAC=$950,000, EV=$720,000, AC=$610,000. Assume future cost performance follows current CPI. Using EAC=BAC/CPI, what is estimate at completion?

$804861.11

$1121311.48

$840000

$925590.28

#40. A steel tension member has gross area Ag=10.0 in^2 and Fy=65 ksi. If yielding controls with φ=0.9, what is design strength φPn?

421.2 kip

650 kip

585 kip

702 kip

#41. A fully restrained steel member has E=205 GPa, α=1.2e-05 /°C, and temperature rise ΔT=33°C. What thermal stress develops (σ=EαΔT)?

2.46 MPa (compression)

1.19 MPa

811.8 MPa (compression)

81.18 MPa (compression)

#42. A flood-mitigation project provides immediate present-value benefits of $676000. Initial cost is $436000 plus annual O&M of $28000 for 6 years at 7%. What is the benefit-cost ratio?

1.187

1.537

0.842

0.187

#43. In the four-step travel demand model, where are origin-destination movements between zones estimated?

Mode choice calibration only

Traffic assignment only

Trip distribution step

Trip generation only

#44. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=3.2, a1=0.44, D1=5.0 in, a2=0.14, m2=1.1, and ignoring D3, what base thickness D2 is needed?

22.86 in

9.09 in

3.9 in

6.49 in

#45. A block of weight 165 lb is on a 12° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

161.39 lb

41.25 lb

-6.04 lb

74.65 lb

#46. A simply supported beam span 15 ft has full-span UDL w=5 kip/ft plus point load P=9 kip at x=13 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

174.38 kip-ft

149.77 kip-ft

679.5 kip-ft

157.5 kip-ft

#47. For a retaining wall with uniform surcharge q=10 kPa and active coefficient Ka=0.38, what is lateral force from surcharge over height H=7 m (per meter length)?

26.6 kN/m

53.2 kN/m

3.8 kN/m

13.3 kN/m

#48. For an asphalt mix with binder content 5.2% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.45, estimate air voids Va (%).

93.81%

4.33%

9.19%

6.19%

#49. A circular sewer flows full with D=0.6 m, slope S=0.0015, Manning n=0.015. Estimate capacity Q using Manning equation.

0.103 m^3/s

0.3091 m^3/s

0.2061 m^3/s

0.0004 m^3/s

#50. A simply supported beam span 13 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 8 ft from A. Find reaction at B.

31.54 kip

30.5 kip

29.46 kip

5.54 kip

#51. Given specific gravity Gs=2.65, water content w=20%, and void ratio e=0.7, compute degree of saturation Sr=wGs/e.

24.29%

7.57%

33.96%

75.71%

#52. A signalized intersection has heavy left-turn demand causing spillback. Which control strategy is most direct for reducing opposing-flow conflicts and delay?

Use stop control on all approaches simultaneously

Increase posted speed through intersection

Provide protected left-turn phasing with optimized cycle split

Remove all left-turn lanes

#53. Given vectors a=[-4, 7, -2] and b=[8, 3, 1], what is the scalar projection of a onto b (comp_b a)?

-0.18

1.51

-13

-1.51

#54. Two retaining-wall faces are modeled by parallel lines 3x + 6y + (-12) = 0 and 3x + 6y + 13 = 0, with coordinates in ft. What is the perpendicular separation between the faces?

1.86 ft

12.5 ft

3.73 ft

25 ft

#55. A steel member (α=6.0e-06/°F) is 77 ft long and heats by 83°F. What free thermal expansion occurs?

0.0383 ft

0.0032 ft

0.0005 ft

0.4602 ft

#56. A force with components Fx = 18 lb, Fy = -17 lb is applied at position (x, y)=(5, 6) ft from O. What is scalar moment M_O = xFy – yFx?

23 lb-ft

-193 lb-ft

11 lb-ft

193 lb-ft

#57. Water at 20°C has ν=1.0e-06 m^2/s in a pipe with V=2.0 m/s and D=0.05 m. What Reynolds number Re=VD/ν?

40000000

10000

1000000

100000

#58. A dimensionless loading index is modeled by f(x) = 4x^2 + 4/x for x in [1, 4]. Compute I = integral from 1 to 4 of f(x) dx.

89.55

93.55

44.77

96

#59. A project allocates overhead to all departments, but one alternative requires dedicated temporary traffic control staff not used otherwise. How should this staff cost be treated in alternative selection?

As an unavoidable fixed cost identical for all alternatives

As a sunk cost because payroll exists

As a non-economic externality excluded from analysis

As an incremental direct cost attributable to that alternative

#60. For stress state σx=147 MPa, σy=10 MPa, τxy=57 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

78.5 MPa

89.11 MPa

137 MPa

68.5 MPa

#61. Given specific gravity Gs=2.75, water content w=12%, and void ratio e=0.85, compute degree of saturation Sr=wGs/e.

61.18%

38.82%

35.27%

3.88%

#62. A sediment basin excavation covers 4.5 acres to average depth 2.0 ft. A dozer spread has nominal output 1500 yd^3/day with site efficiency 0.75. How many full days are required (ignore weather)?

15 days

13 days

9.68 days

11 days

#63. Same steel column has K=1.0 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

1.2

1.44

0.833

0.694

#64. In a consolidated undrained triaxial test with pore-pressure measurements, what key advantage exists over unconfined compression?

It provides only index properties like LL and PL

It allows effective-stress strength parameter interpretation with confining pressure control

It is restricted to clean sands only

It cannot evaluate undrained response

#65. A profile shows a symmetric vertical curve from Sta 10+50 to Sta 14+00. Incoming grade is +2.5%, outgoing grade is -1.5%, and elevation at PVC is 250.0 ft. Assuming linear grade change about PVI at midpoint, what is approximate elevation at PVT?

258.75 ft

251.75 ft

250.88 ft

244.75 ft

#66. Using NRCS runoff method: for storm P=3.0 in and curve number CN=75, compute runoff depth Q (in).

0.368 in

1.345 in

2.039 in

0.961 in

#67. For crest vertical curve design with grade change A=5.0%, choose K=39.42 from SSD criteria (given). What curve length L=KA is required?

197.1 ft

98.6 ft

7.9 ft

295.7 ft

#68. A simply supported beam span 21 m carries a uniform load w=6 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

63.86 kN

68.14 kN

66 kN

0.86 kN

#69. A detention pond outlet is redesigned to reduce post-development peak flow to pre-development levels. Which principle is most directly applied?

Permanent abstraction of all runoff volume

Increasing impervious area to shorten time of concentration

Temporary storage with controlled release to attenuate peak discharge

Immediate bypass of all stormwater to downstream channel

#70. For a process with known sigma = 7.1, sample size n = 81, and z* = 2.576 for a 99% confidence level, what is the margin of error E for the mean?

4.06

0.79

1.44

2.03

#71. Flow in a reducer has D1=0.3 m, D2=0.2 m, and upstream velocity V1=1.2 m/s. By continuity, what is V2?

0.533 m/s

1.35 m/s

2.7 m/s

4.05 m/s

#72. A steel coupon tested to ASTM tension standards shows yield at 52 ksi and ultimate at 67 ksi. Which interpretation is most accurate for structural design checks?

Yield strength primarily governs service-level inelastic onset, while ultimate indicates maximum tensile capacity

Only elongation controls member nominal strength

Ultimate strength replaces all need for yield checks in ASD/LRFD

Yield and ultimate are always identical for structural steels

#73. A simply supported beam with centered load P=24 kip has E=29000 ksi, I=180 in^4, span L=312 in. Compute midspan deflection δ=PL^3/(48EI).

2.9091 in

0.9697 in

0.0014 in

8.7274 in

#74. Differential leveling run: BM elev=571 ft; BS1=7.95 ft, FS1=4.2 ft, BS2=3.52 ft, FS2=6.39 ft. What is ending elevation?

593.06 ft

570.12 ft

576.88 ft

571.88 ft

#75. Assume X is normally distributed with mean 72 and standard deviation 6. What is P(63 <= X <= 81)?

0.9332

0.8664

0.1336

0.4332

#76. A 59 kg cart increases speed from 3 m/s to 6 m/s on level track. Neglecting losses, what net work is required?

177 J

-796.5 J

796.5 J

265.5 J

#77. Two coplanar forces act at a point: F1 = 28 lb at 52° from +x and F2 = 17 lb at 108° from +x. What is resultant magnitude?

11 lb

40.07 lb

45 lb

48.08 lb

#78. CPM network has two parallel paths from start to finish: Path 1 durations 5 and 6 days; Path 2 durations 5 and 7 days. What is project duration?

14 days

12 days

23 days

11 days

#79. For a confined aquifer drawdown screening (Cooper-Jacob style), with pumping Q=700 m^3/day, transmissivity T=650 m^2/day, and dimensionless log term log10(…)=2.903, estimate drawdown coefficient part s=Q/(2πT)*log term.

0.995 m

1.077 m

0.498 m

0.249 m

#80. Using NRCS runoff method: for storm P=3.0 in and curve number CN=85, compute runoff depth Q (in).

2.224 in

0.556 in

1.412 in

1.588 in

#81. Engineer Cameron is asked to certify a retaining wall design prepared by another firm without reviewing calculations. The owner says schedule pressure requires immediate certification. Under professional ethics, what is the most defensible action?

Decline certification until competent review verifies the design meets standards

Stamp only the title sheet to avoid full responsibility

Certify if the original firm verbally confirms accuracy

Certify immediately because the owner accepts all risk

#82. Below groundwater table at depth z=4.0 m, with γsat=20.5 kN/m^3, what vertical effective stress increment develops?

39.24 kPa

42.76 kPa

21.38 kPa

82 kPa

#83. Same steel column has K=0.8 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

1.5

2.25

0.667

0.444

#84. For crest vertical curve design with grade change A=6.0%, choose K=48.67 from SSD criteria (given). What curve length L=KA is required?

438 ft

292 ft

146 ft

8.1 ft

#85. In slope stability analyses, increasing positive pore-water pressure along a potential slip surface generally causes what effect?

Increases shear strength through higher effective stress

Decreases effective normal stress and reduces factor of safety

Always increases apparent cohesion

No influence on strength parameters

#86. An asphalt overlay covers 420 m × 18 m at compacted thickness 0.2 m. Use mix density 2500 kg/m^3 and supply+place cost $95/metric ton. What is estimated cost?

$3780

$276230.77

$359100

$466830

#87. For force vectors A=[5, 3, 1], B=[1, -6, 0], and C=[6, 4, 2], compute the magnitude of resultant R = A – 2B + 3C in kN.

34.91

17.46

55

7.42

#88. For reinforcing steel with fy=60 ksi and Es=29000 ksi, what is approximate yield strain εy?

0.00021

1740000

0.02069

0.00207

#89. A 14 kg cart increases speed from 8 m/s to 20 m/s on level track. Neglecting losses, what net work is required?

-2352 J

1008 J

2352 J

168 J

#90. A simply supported beam span 17 m carries a uniform load w=4 kN/m over full span and a point load P=15 kN at 9 m from A. Find reaction at B.

41.94 kN

7.94 kN

41.5 kN

41.06 kN

#91. Water at 20°C has ν=1.1e-06 m^2/s in a pipe with V=0.8 m/s and D=0.1 m. What Reynolds number Re=VD/ν?

727273

7272727

72727

7273

#92. At status date: BAC=$1,450,000, EV=$720,000, AC=$610,000. Assume future cost performance follows current CPI. Using EAC=BAC/CPI, what is estimate at completion?

$1412743.06

$1711475.41

$1340000

$1228472.22

#93. A profile shows a symmetric vertical curve from Sta 14+50 to Sta 19+75. Incoming grade is +2.0%, outgoing grade is -1.0%, and elevation at PVC is 250.0 ft. Assuming linear grade change about PVI at midpoint, what is approximate elevation at PVT?

260.5 ft

244.75 ft

252.62 ft

251.31 ft

#94. A rehabilitation program costs $32000 at year-end for 5 years. At interest rate 5%, what is the present worth?

$640000

$138543.25

$160000

$159324.74

#95. For stress state σx=93 MPa, σy=67 MPa, τxy=64 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

26 MPa

80 MPa

65.31 MPa

13 MPa

#96. A concrete design uses water=191 kg/m^3, w/c=0.45, and cement specific gravity=3.1. What is the absolute volume of cement in 1 m^3 of concrete?

0.1711 m^3

0.1369 m^3

0.1027 m^3

0.4244 m^3

#97. Using NRCS runoff method: for storm P=3.5 in and curve number CN=70, compute runoff depth Q (in).

0.339 in

1.411 in

2.492 in

1.008 in

#98. Simply supported beam L=36 ft has UDL w=1.8 kip/ft plus point load P=12 kip at a=10 ft from left. What is governing positive moment (critical section approximation)?

468.46 kip-ft

609 kip-ft

399.6 kip-ft

345.6 kip-ft

#99. A cut of 3680 bank yd^3 has swell 25%, hauled in 10-yd^3 trucks. Round-trip cycle is 30 min, 8-hour day, efficiency 0.75. What minimum number of trucks is needed to haul in one day?

49 trucks

575 trucks

47 trucks

48 trucks

#100. A unit-price contract has a bid item quantity underrun. Original amount is $58900. A signed change order adds $7800 for additional dewatering. What is the revised contract amount?

$66700

$74500

$58900

$51100

#101. A simply supported beam span 19 ft has full-span UDL w=12 kip/ft plus point load P=17 kip at x=3 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

581.88 kip-ft

2217 kip-ft

686.04 kip-ft

622.25 kip-ft

#102. During flood routing, why is reservoir stage-storage-discharge relationship essential?

It replaces all need for watershed runoff estimation

It directly gives groundwater recharge without mass balance

It links inflow hydrograph to time-varying outflow and storage for routing computations

It is only needed for structural concrete mix design

#103. A PE licensed in one jurisdiction receives a temporary permit in another for emergency flood response. After 24 hours, the PE continues design work outside the temporary permit scope. What is the best compliance interpretation?

Any PE license allows unrestricted permanent practice in all jurisdictions

Scope limits apply only to structural projects, not civil work

The PE must stop out-of-scope practice and obtain proper authorization before continuing

Temporary permits eliminate all board oversight requirements

#104. Flow in a reducer has D1=0.5 m, D2=0.15 m, and upstream velocity V1=1.8 m/s. By continuity, what is V2?

10 m/s

0.162 m/s

20 m/s

30 m/s

#105. Same steel column has K=0.7 for frame A and K=2.0 for frame B. What is ratio Pcr,A / Pcr,B?

0.122

0.35

2.857

8.163

#106. In the four-step travel demand model, where are origin-destination movements between zones estimated?

Trip distribution step

Traffic assignment only

Trip generation only

Mode choice calibration only

#107. For a confined aquifer drawdown screening (Cooper-Jacob style), with pumping Q=700 m^3/day, transmissivity T=500 m^2/day, and dimensionless log term log10(…)=3.079, estimate drawdown coefficient part s=Q/(2πT)*log term.

0.343 m

0.686 m

1.372 m

1.4 m

#108. A pump delivers Q=0.12 m^3/s against total dynamic head H=30 m at efficiency η=0.82. What input power is required?

35.32 kW

43.07 kW

55.99 kW

4.39 kW

#109. Traverse has two legs: 678 m at azimuth 61°, then 239 m at azimuth 149°. What is straight-line distance from start to end?

726.72 m

439 m

917 m

581.37 m

Exam Simulation No. 5

Results

#1. Two coplanar forces act at a point: F1 = 21 N at 62° from +x and F2 = 12 N at 163° from +x. What is resultant magnitude?

#2. Two coplanar forces act at a point: F1 = 8 N at 23° from +x and F2 = 21 N at 109° from +x. What is resultant magnitude?

#3. A vertical rectangular gate (width 2.0 m) retains water to depth 1.8 m. What is resultant hydrostatic force on the gate?

#4. Use first-order linearization about x0 = 2 to estimate sqrt(4x + 18) at x = 2.08.

#5. Using LRFD combo U=1.2D+1.6L+0.5W with D=41 kip, L=92 kip, W=73 kip, what is factored load U?

#6. Material test results occur at values 18, 39, and 43 MPa with frequencies 7, 5, and 9. What is the weighted mean strength?

#7. A signalized intersection has heavy left-turn demand causing spillback. Which control strategy is most direct for reducing opposing-flow conflicts and delay?

#8. A detention pond outlet is redesigned to reduce post-development peak flow to pre-development levels. Which principle is most directly applied?

#9. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=55 mph and kj=180 veh/mi/ln, what is qmax?

#10. A fully restrained steel member has E=194 GPa, α=1.3e-05 /°C, and temperature rise ΔT=52°C. What thermal stress develops (σ=EαΔT)?

#11. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=5.0 in, a2=0.14, m2=0.9, and ignoring D3, what base thickness D2 is needed?

#12. For earthwork, cross-sectional areas are A1=1607, Am=1295, A2=1321 ft^2 over spacing L=172 ft. What volume by prismoidal formula?

#13. A project allocates overhead to all departments, but one alternative requires dedicated temporary traffic control staff not used otherwise. How should this staff cost be treated in alternative selection?

#14. A stream shows elevated BOD and low dissolved oxygen in warm weather. Which interpretation is most defensible?

#15. A vertical rectangular gate (width 4.0 m) retains water to depth 1.8 m. What is resultant hydrostatic force on the gate?

#16. Same steel column has K=1.0 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

#17. For a retaining wall with uniform surcharge q=20 kPa and active coefficient Ka=0.33, what is lateral force from surcharge over height H=7 m (per meter length)?

#18. For a retaining wall with uniform surcharge q=20 kPa and active coefficient Ka=0.33, what is lateral force from surcharge over height H=6 m (per meter length)?

#19. A flood-mitigation project provides immediate present-value benefits of $760000. Initial cost is $383000 plus annual O&M of $22000 for 9 years at 6%. What is the benefit-cost ratio?

#20. Why is disinfection placed after secondary clarification in most treatment trains?

#21. Which method is commonly used to solve elementary statically indeterminate beams by compatibility and superposition?

#22. Direct shear test interpretation gives c=8 kPa and φ=32°. At normal stress 140 kPa, what peak shear stress is predicted?

#23. For a reinforced concrete beam, As=5.0 in^2, fy=60 ksi, d=22 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

#24. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=6.0 in, a2=0.14, m2=1.1, and ignoring D3, what base thickness D2 is needed?

#25. A circular shaft transmits torque T=9000 N·mm. At radius r=38 mm with polar moment J=200000 mm^4, what is torsional shear stress τ=Tr/J?

#26. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.65, and bulk mix specific gravity Gmb=2.4, estimate air voids Va (%).

#27. A simply supported beam span 15 ft has full-span UDL w=5 kip/ft plus point load P=25 kip at x=5 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

#28. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=19, Df=1.0 m, B=2.0 m, Nq=26, Nγ=30, find qult.

#29. A 56 kg cart increases speed from 10 m/s to 21 m/s on level track. Neglecting losses, what net work is required?

#30. A fine-grained soil plots above the A-line with LL=62 and PI=34. Under USCS, what classification is most likely?

#31. A particle starts with speed 16 ft/s and constant acceleration 1 ft/s^2 over displacement 76 ft. Using v^2=v0^2+2as, what is final speed?

#32. A triangular construction lot has vertices at (0,0), (24,-1), and (7,14) in a Cartesian site grid measured in ft. Using the shoelace method, what is the lot area?

#33. Contract documents include drawings, specifications, and addenda. A detail conflict is found: the latest addendum revises a spec section while an older drawing note remains unchanged. Under standard precedence logic, which instruction governs?

#34. Simply supported beam L=30 ft has UDL w=2.4 kip/ft plus point load P=8 kip at a=8 ft from left. What is governing positive moment (critical section approximation)?

#35. Engineer Cameron is asked to certify a retaining wall design prepared by another firm without reviewing calculations. The owner says schedule pressure requires immediate certification. Under professional ethics, what is the most defensible action?

#36. Differential leveling run: BM elev=332 ft; BS1=3.06 ft, FS1=2.14 ft, BS2=6.11 ft, FS2=4.16 ft. What is ending elevation?

#37. A project requires transforming GNSS latitude/longitude points into local design coordinates tied to a state plane grid. Which sequence is most appropriate?

#38. A rehabilitation program costs $22000 at year-end for 5 years. At interest rate 5%, what is the present worth?

#39. At status date: BAC=$950,000, EV=$720,000, AC=$610,000. Assume future cost performance follows current CPI. Using EAC=BAC/CPI, what is estimate at completion?

#40. A steel tension member has gross area Ag=10.0 in^2 and Fy=65 ksi. If yielding controls with φ=0.9, what is design strength φPn?

#41. A fully restrained steel member has E=205 GPa, α=1.2e-05 /°C, and temperature rise ΔT=33°C. What thermal stress develops (σ=EαΔT)?

#42. A flood-mitigation project provides immediate present-value benefits of $676000. Initial cost is $436000 plus annual O&M of $28000 for 6 years at 7%. What is the benefit-cost ratio?

#43. In the four-step travel demand model, where are origin-destination movements between zones estimated?

#44. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=3.2, a1=0.44, D1=5.0 in, a2=0.14, m2=1.1, and ignoring D3, what base thickness D2 is needed?

#45. A block of weight 165 lb is on a 12° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

#46. A simply supported beam span 15 ft has full-span UDL w=5 kip/ft plus point load P=9 kip at x=13 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

#47. For a retaining wall with uniform surcharge q=10 kPa and active coefficient Ka=0.38, what is lateral force from surcharge over height H=7 m (per meter length)?

#48. For an asphalt mix with binder content 5.2% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.45, estimate air voids Va (%).

#49. A circular sewer flows full with D=0.6 m, slope S=0.0015, Manning n=0.015. Estimate capacity Q using Manning equation.

#50. A simply supported beam span 13 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 8 ft from A. Find reaction at B.

#51. Given specific gravity Gs=2.65, water content w=20%, and void ratio e=0.7, compute degree of saturation Sr=wGs/e.

#52. A signalized intersection has heavy left-turn demand causing spillback. Which control strategy is most direct for reducing opposing-flow conflicts and delay?

#53. Given vectors a=[-4, 7, -2] and b=[8, 3, 1], what is the scalar projection of a onto b (comp_b a)?

#54. Two retaining-wall faces are modeled by parallel lines 3x + 6y + (-12) = 0 and 3x + 6y + 13 = 0, with coordinates in ft. What is the perpendicular separation between the faces?

#55. A steel member (α=6.0e-06/°F) is 77 ft long and heats by 83°F. What free thermal expansion occurs?

#56. A force with components Fx = 18 lb, Fy = -17 lb is applied at position (x, y)=(5, 6) ft from O. What is scalar moment M_O = xFy – yFx?

#57. Water at 20°C has ν=1.0e-06 m^2/s in a pipe with V=2.0 m/s and D=0.05 m. What Reynolds number Re=VD/ν?

#58. A dimensionless loading index is modeled by f(x) = 4x^2 + 4/x for x in [1, 4]. Compute I = integral from 1 to 4 of f(x) dx.

#59. A project allocates overhead to all departments, but one alternative requires dedicated temporary traffic control staff not used otherwise. How should this staff cost be treated in alternative selection?

#60. For stress state σx=147 MPa, σy=10 MPa, τxy=57 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

#61. Given specific gravity Gs=2.75, water content w=12%, and void ratio e=0.85, compute degree of saturation Sr=wGs/e.

#62. A sediment basin excavation covers 4.5 acres to average depth 2.0 ft. A dozer spread has nominal output 1500 yd^3/day with site efficiency 0.75. How many full days are required (ignore weather)?

#63. Same steel column has K=1.0 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

#64. In a consolidated undrained triaxial test with pore-pressure measurements, what key advantage exists over unconfined compression?

#65. A profile shows a symmetric vertical curve from Sta 10+50 to Sta 14+00. Incoming grade is +2.5%, outgoing grade is -1.5%, and elevation at PVC is 250.0 ft. Assuming linear grade change about PVI at midpoint, what is approximate elevation at PVT?

#66. Using NRCS runoff method: for storm P=3.0 in and curve number CN=75, compute runoff depth Q (in).

#67. For crest vertical curve design with grade change A=5.0%, choose K=39.42 from SSD criteria (given). What curve length L=KA is required?

#68. A simply supported beam span 21 m carries a uniform load w=6 kN/m over full span and a point load P=6 kN at 3 m from A. Find reaction at B.

#69. A detention pond outlet is redesigned to reduce post-development peak flow to pre-development levels. Which principle is most directly applied?

#70. For a process with known sigma = 7.1, sample size n = 81, and z* = 2.576 for a 99% confidence level, what is the margin of error E for the mean?

#71. Flow in a reducer has D1=0.3 m, D2=0.2 m, and upstream velocity V1=1.2 m/s. By continuity, what is V2?

#72. A steel coupon tested to ASTM tension standards shows yield at 52 ksi and ultimate at 67 ksi. Which interpretation is most accurate for structural design checks?

#73. A simply supported beam with centered load P=24 kip has E=29000 ksi, I=180 in^4, span L=312 in. Compute midspan deflection δ=PL^3/(48EI).

#74. Differential leveling run: BM elev=571 ft; BS1=7.95 ft, FS1=4.2 ft, BS2=3.52 ft, FS2=6.39 ft. What is ending elevation?

#75. Assume X is normally distributed with mean 72 and standard deviation 6. What is P(63 <= X <= 81)?

#76. A 59 kg cart increases speed from 3 m/s to 6 m/s on level track. Neglecting losses, what net work is required?

#77. Two coplanar forces act at a point: F1 = 28 lb at 52° from +x and F2 = 17 lb at 108° from +x. What is resultant magnitude?

#78. CPM network has two parallel paths from start to finish: Path 1 durations 5 and 6 days; Path 2 durations 5 and 7 days. What is project duration?