FE CIVIL – EIGHTH SIMULATION

#1. A PE licensed in one jurisdiction receives a temporary permit in another for emergency flood response. After 36 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

Temporary permits eliminate all board oversight requirements

Scope limits apply only to structural projects, not civil work

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

#2. Two coplanar forces act at a point: F1 = 10 N at 67° from +x and F2 = 9 N at 117° from +x. What is resultant magnitude?

1 N

17.23 N

20.67 N

19 N

#3. A steel tension member has gross area Ag=12.0 in^2 and Fy=50 ksi. If yielding controls with φ=0.9, what is design strength φPn?

648 kip

540 kip

600 kip

691.2 kip

#4. Water at 20°C has ν=1.1e-06 m^2/s in a pipe with V=2.0 m/s and D=0.1 m. What Reynolds number Re=VD/ν?

18182

1818182

181818

18181818

#5. A dimensionless loading index is modeled by f(x) = 4x^2 + 6/x for x in [3, 7]. Compute I = integral from 3 to 7 of f(x) dx.

426.42

445.33

432.42

213.21

#6. A plane truss has m=26 members, j=16 joints, r=4 reaction components. What is degree of static indeterminacy m+r-2j?

-2

2

0

3

#7. Given specific gravity Gs=2.75, water content w=12%, and void ratio e=0.55, compute degree of saturation Sr=wGs/e.

24.36%

40%

60%

6%

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

Force method (consistent deformations)

Direct stiffness prohibited for indeterminate systems

Method of joints only

Rankine earth-pressure method

#9. Lines 3x + 4y = -12 and 4x + (-5)y = 14 intersect at P. What is the equation of the line through P that is perpendicular to y = -2x + 1?

y = -2x + 2.84

y = -0.5x + 2.84

y = 0.5x + -2.84

y = 0.5x + 2.84

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

CL

ML

CH (high-plasticity clay)

SM

#11. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=17, Df=2.0 m, B=2.0 m, Nq=18, Nγ=20, find qult.

952 kPa

34 kPa

317.33 kPa

2856 kPa

#12. For a process with known sigma = 7.1, sample size n = 49, and z* = 2.576 for a 99% confidence level, what is the margin of error E for the mean?

1.01

1.85

2.61

5.23

#13. A rectangular plate 7in×6in has a centered rectangular hole 5in×2in. What is ȳ from the base?

3 in

2.62 in

2 in

3.62 in

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

Traffic assignment only

Trip generation only

Trip distribution step

Mode choice calibration only

#15. In Hardy Cross analysis of looped distribution systems, what condition must be satisfied at convergence for each loop?

Algebraic sum of head losses around each closed loop equals zero

All nodal pressures are identical

Flow direction in each loop must be clockwise

Velocity in every pipe segment is the same

#16. Two coplanar forces act at a point: F1 = 10 lb at 24° from +x and F2 = 18 lb at 111° from +x. What is resultant magnitude?

28 lb

8 lb

21.04 lb

25.25 lb

#17. For a process with known sigma = 4.5, sample size n = 64, and z* = 1.96 for a 95% confidence level, what is the margin of error E for the mean?

2.21

0.78

1.1

0.56

#18. A steel member (α=5.5e-06/°F) is 25 ft long and heats by 42°F. What free thermal expansion occurs?

0.0693 ft

0.0005 ft

0.0058 ft

0.0002 ft

#19. Direct shear test interpretation gives c=18 kPa and φ=24°. At normal stress 80 kPa, what peak shear stress is predicted?

53.62 kPa

69.7 kPa

35.62 kPa

32.54 kPa

#20. A simply supported beam span 10 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 4 ft from A. Find reaction at B.

23.6 kip

25.4 kip

3.6 kip

24.5 kip

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

Always increases apparent cohesion

Decreases effective normal stress and reduces factor of safety

No influence on strength parameters

Increases shear strength through higher effective stress

#22. Simply supported beam L=36 ft has UDL w=2.4 kip/ft plus point load P=12 kip at a=12 ft from left. What is governing positive moment (critical section approximation)?

442.8 kip-ft

709.97 kip-ft

546.13 kip-ft

496.8 kip-ft

#23. For earthwork, cross-sectional areas are A1=1468, Am=2199, A2=2310 ft^2 over spacing L=169 ft. What volume by prismoidal formula?

336704.333 ft^3

13117.321 ft^3

319241 ft^3

354167.667 ft^3

#24. Flow in a reducer has D1=0.5 m, D2=0.25 m, and upstream velocity V1=1.2 m/s. By continuity, what is V2?

2.4 m/s

0.3 m/s

7.2 m/s

4.8 m/s

#25. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=60 mph and kj=160 veh/mi/ln, what is qmax?

80 veh/h/ln

1200 veh/h/ln

2400 veh/h/ln

9600 veh/h/ln

#26. A sediment basin excavation covers 8.0 acres to average depth 2.0 ft. A dozer spread has nominal output 1500 yd^3/day with site efficiency 0.85. How many full days are required (ignore weather)?

21 days

19 days

17.21 days

23 days

#27. A geotechnical alert model flags instability (event B). Prior probability of true instability A is 0.2. Sensitivity P(B|A)=0.85, false-positive rate P(B|not A)=0.2. What is P(A|B)?

0.65

0.5152

0.33

0.4848

#28. A fully restrained steel member has E=193 GPa, α=1.3e-05 /°C, and temperature rise ΔT=43°C. What thermal stress develops (σ=EαΔT)?

4.47 MPa

1078.87 MPa (compression)

2.51 MPa (compression)

107.89 MPa (compression)

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

Immediate bypass of all stormwater to downstream channel

Increasing impervious area to shorten time of concentration

Temporary storage with controlled release to attenuate peak discharge

Permanent abstraction of all runoff volume

#30. Coordinates of a triangular lot are (2064,1134), (2409,1134), (2205,1349) ft. What is the area by coordinate method?

18543.75 ft^2

37087.5 ft^2

192.58 ft^2

74175 ft^2

#31. A particle starts with speed 25 ft/s and constant acceleration 5 ft/s^2 over displacement 38 ft. Using v^2=v0^2+2as, what is final speed?

31.7 ft/s

215 ft/s

15.65 ft/s

1005 ft/s

#32. A bid has direct costs: labor $180,000, equipment $95,000, materials $260,000, subcontracts $120,000. Apply bond 2.0%, overhead 8%, and fee 6% to direct cost. What is total bid?

$655000

$759800

$772900

$746700

#33. For a rectangle b=9 m, h=16 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

3072 m^4

1296 m^4

4368 m^4

3081 m^4

#34. For a reinforced concrete beam, As=4.0 in^2, fy=60 ksi, d=20 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

370 kip-ft

333 kip-ft

416.25 kip-ft

426.24 kip-ft

#35. A public owner wants early constructor input during design, guaranteed maximum price later, and single-point coordination of trade packages before 100% design completion. Which delivery approach best fits?

Unit-price contract with no schedule responsibility

Construction Manager at Risk (CMAR)

Bridging only with no preconstruction services

Pure design-bid-build with lump-sum bid after full design

#36. Coordinates of a triangular lot are (1553,1476), (1801,1476), (1658,1769) ft. What is the area by coordinate method?

18166 ft^2

72664 ft^2

190.61 ft^2

36332 ft^2

#37. When comparing wastewater lab data against permit limits, which data-quality practice is essential before compliance decisions?

Use only field probe data for all regulated analytes

Verify calibration, blanks, duplicates, and method detection limits with documented QA/QC

Average all historical results regardless of method changes

Discard all outliers without technical review

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

Increasing impervious area to shorten time of concentration

Immediate bypass of all stormwater to downstream channel

Temporary storage with controlled release to attenuate peak discharge

Permanent abstraction of all runoff volume

#39. 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 an unavoidable fixed cost identical for all alternatives

As a non-economic externality excluded from analysis

As a sunk cost because payroll exists

#40. In Hardy Cross analysis of looped distribution systems, what condition must be satisfied at convergence for each loop?

Velocity in every pipe segment is the same

Algebraic sum of head losses around each closed loop equals zero

All nodal pressures are identical

Flow direction in each loop must be clockwise

#41. For earthwork, cross-sectional areas are A1=1801, Am=1184, A2=2012 ft^2 over spacing L=55 ft. What volume by prismoidal formula?

78365.833 ft^3

104857.5 ft^3

2902.438 ft^3

91611.667 ft^3

#42. A rectangular plate 11m×8m has a centered rectangular hole 3m×7m. What is ȳ from the base?

4.16 m

3.9 m

0.5 m

4 m

#43. Differential leveling run: BM elev=318 ft; BS1=5.6 ft, FS1=6.95 ft, BS2=5.98 ft, FS2=6.25 ft. What is ending elevation?

316.38 ft

342.79 ft

319.62 ft

321.38 ft

#44. A flood-mitigation project provides immediate present-value benefits of $425000. Initial cost is $457000 plus annual O&M of $27000 for 11 years at 6%. What is the benefit-cost ratio?

1.576

0.634

-0.366

0.984

#45. A steel tension member has gross area Ag=12.0 in^2 and Fy=50 ksi. If yielding controls with φ=0.9, what is design strength φPn?

691.2 kip

540 kip

648 kip

600 kip

#46. When comparing wastewater lab data against permit limits, which data-quality practice is essential before compliance decisions?

Verify calibration, blanks, duplicates, and method detection limits with documented QA/QC

Average all historical results regardless of method changes

Use only field probe data for all regulated analytes

Discard all outliers without technical review

#47. Direct shear test interpretation gives c=18 kPa and φ=32°. At normal stress 80 kPa, what peak shear stress is predicted?

88.39 kPa

42.39 kPa

49.99 kPa

67.99 kPa

#48. A contract has original value $1,250,000 and approved change orders $120,000. Previous paid progress was 35% of current contract value; this month total earned reaches 62%. With 5% retainage on current earnings, what payment is due this month?

$369900

$806930

$295180.2

$351405

#49. Coordinates of a triangular lot are (2799,2603), (3103,2603), (2875,2948) ft. What is the area by coordinate method?

26220 ft^2

104880 ft^2

52440 ft^2

229 ft^2

#50. A geotechnical alert model flags instability (event B). Prior probability of true instability A is 0.35. Sensitivity P(B|A)=0.85, false-positive rate P(B|not A)=0.15. What is P(A|B)?

0.7532

0.2468

0.7

0.395

#51. A vertical rectangular gate (width 2.0 m) retains water to depth 1.2 m. What is resultant hydrostatic force on the gate?

14.13 kN

7.06 kN

23.54 kN

19.78 kN

#52. A steel member (α=6.0e-06/°F) is 69 ft long and heats by 105°F. What free thermal expansion occurs?

0.0036 ft

0.0435 ft

0.5216 ft

0.0006 ft

#53. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.35, estimate air voids Va (%).

6.85%

12.78%

90.22%

9.78%

#54. For one-dimensional consolidation to U≈50%, Tv≈0.197. If drainage path Hdr=1.5 m and Cv=1.2 m^2/yr, estimate time t50.

1.478 yr

0.369 yr

1.25 yr

0.092 yr

#55. 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

#56. A mat foundation is often selected over isolated spread footings when:

Only temporary structures are supported

Differential settlement is irrelevant

Bedrock is shallow and loads are very light

Column loads are heavy and individual footing areas would occupy most of the building footprint

#57. A diffuser changes velocity from 2.5 to 1.2 m/s at flow 0.2 m^3/s (water). Ignoring pressure/body forces, what axial force on fluid from momentum equation?

-260 N

-130 N

260 N

740 N

#58. Status values: PV=$800,000, EV=$560,000, AC=$760,000. Which interpretation is correct when SPI=0.7 and CPI=0.737?

Project is behind schedule and over budget

Project is ahead of schedule and under budget

Project is ahead of schedule but over budget

Project is behind schedule but under budget

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

0.02069

0.00021

1740000

0.00207

#60. A grading detail indicates slope 1V:12H. If vertical rise is 2.0 m, what horizontal run is required?

0.167 m

12 m

6 m

24 m

#61. Given specific gravity Gs=2.65, water content w=16%, and void ratio e=0.55, compute degree of saturation Sr=wGs/e.

7.71%

26.79%

77.09%

22.91%

#62. 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

#63. Engineer Quinn 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?

Certify if the original firm verbally confirms accuracy

Decline certification until competent review verifies the design meets standards

Stamp only the title sheet to avoid full responsibility

Certify immediately because the owner accepts all risk

#64. Lime stabilization of clayey subgrade is primarily used to achieve which combined effect?

Create fully impermeable layer regardless compaction

Increase organic content for compressibility

Eliminate need for moisture-density control

Reduce plasticity and swell potential while improving strength/workability

#65. A block of weight 117 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

113.01 N

29.25 N

2.03 N

58.54 N

#66. A fully restrained steel member has E=210 GPa, α=1.1e-05 /°C, and temperature rise ΔT=31°C. What thermal stress develops (σ=EαΔT)?

71.61 MPa (compression)

1.02 MPa

2.31 MPa (compression)

716.1 MPa (compression)

#67. A circular shaft transmits torque T=6000 N·mm. At radius r=14 mm with polar moment J=600000 mm^4, what is torsional shear stress τ=Tr/J?

7.1429 MPa

1.96 MPa

0.14 MPa

0.0007 MPa

#68. Engineer Casey 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?

Certify if the original firm verbally confirms accuracy

Decline certification until competent review verifies the design meets standards

Certify immediately because the owner accepts all risk

Stamp only the title sheet to avoid full responsibility

#69. A circular shaft transmits torque T=2000 N·mm. At radius r=12 mm with polar moment J=800000 mm^4, what is torsional shear stress τ=Tr/J?

0.03 MPa

0.0002 MPa

33.3333 MPa

0.36 MPa

#70. 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

Remove all left-turn lanes

Provide protected left-turn phasing with optimized cycle split

Increase posted speed through intersection

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

Traffic assignment only

Mode choice calibration only

Trip distribution step

Trip generation only

#72. A contractor must choose between two earthmoving spreads. Spread X has higher nominal output but frequent delays; Spread Y has lower nominal output with significantly better reliability and safer haul routes. Which decision basis is most appropriate?

Use only fuel consumption and disregard schedule constraints

Select the spread with the largest single-cycle bucket capacity only

Ignore delay data because unit price contracts transfer all risk

Compare effective production rate including utilization, safety risk, and downtime—not nominal output alone

#73. A circular shaft transmits torque T=2000 N·mm. At radius r=28 mm with polar moment J=600000 mm^4, what is torsional shear stress τ=Tr/J?

0.0001 MPa

2.6133 MPa

10.7143 MPa

0.0933 MPa

#74. Status values: PV=$800,000, EV=$690,000, AC=$620,000. Which interpretation is correct when SPI=0.863 and CPI=1.113?

Project is behind schedule and over budget

Project is ahead of schedule and under budget

Project is ahead of schedule but over budget

Project is behind schedule but under budget

#75. A rehabilitation program costs $28000 at year-end for 9 years. At interest rate 8%, what is the present worth?

$174912.86

$350000

$252000

$201149.79

#76. A concrete acceptance plan uses compressive tests at 7 and 28 days. Why are both ages useful?

Only 7-day values matter because hydration stops after one week

28-day values are ignored if slump is within limits

7-day strength tracks early gain and curing quality; 28-day strength is the primary specification basis

Both are used only to compute modulus of rupture directly

#77. A steel member (α=6.0e-06/°F) is 39 ft long and heats by 67°F. What free thermal expansion occurs?

0.0013 ft

0.0004 ft

0.0157 ft

0.1881 ft

#78. A rehabilitation program costs $30000 at year-end for 6 years. At interest rate 7%, what is the present worth?

$180000

$428571.43

$142996.19

$164445.62

#79. Two coplanar forces act at a point: F1 = 8 lb at 10° from +x and F2 = 16 lb at 115° from +x. What is resultant magnitude?

24 lb

8 lb

19.12 lb

15.93 lb

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

2.857

0.35

0.122

8.163

#81. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=60 mph and kj=140 veh/mi/ln, what is qmax?

8400 veh/h/ln

2100 veh/h/ln

1050 veh/h/ln

70 veh/h/ln

#82. In Hardy Cross analysis of looped distribution systems, what condition must be satisfied at convergence for each loop?

Flow direction in each loop must be clockwise

Algebraic sum of head losses around each closed loop equals zero

Velocity in every pipe segment is the same

All nodal pressures are identical

#83. Same steel column has K=0.8 for frame A and K=2.0 for frame B. What is ratio Pcr,A / Pcr,B?

2.5

0.4

0.16

6.25

#84. For crest vertical curve design with grade change A=7.0%, choose K=59 from SSD criteria (given). What curve length L=KA is required?

619.5 ft

206.5 ft

413 ft

8.4 ft

#85. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=60 mph and kj=160 veh/mi/ln, what is qmax?

80 veh/h/ln

1200 veh/h/ln

9600 veh/h/ln

2400 veh/h/ln

#86. A 26 kg block slides down a 20° incline with kinetic friction μ=0.25. What is acceleration magnitude along plane (g=9.81 m/s^2)?

2.45 m/s^2

1.05 m/s^2

3.36 m/s^2

5.66 m/s^2

#87. A 34 kg block slides down a 25° incline with kinetic friction μ=0.1. What is acceleration magnitude along plane (g=9.81 m/s^2)?

5.03 m/s^2

3.26 m/s^2

4.15 m/s^2

0.98 m/s^2

#88. A circular sewer flows full with D=0.6 m, slope S=0.0025, Manning n=0.013. Estimate capacity Q using Manning equation.

0.0007 m^3/s

0.307 m^3/s

0.4605 m^3/s

0.1535 m^3/s

#89. For one-dimensional consolidation to U≈50%, Tv≈0.197. If drainage path Hdr=2.0 m and Cv=1.2 m^2/yr, estimate time t50.

0.657 yr

1.667 yr

0.164 yr

2.627 yr

#90. A diffuser changes velocity from 2.5 to 1.5 m/s at flow 0.2 m^3/s (water). Ignoring pressure/body forces, what axial force on fluid from momentum equation?

800 N

-200 N

-100 N

200 N

#91. For crest vertical curve design with grade change A=3.0%, choose K=48.67 from SSD criteria (given). What curve length L=KA is required?

219 ft

146 ft

16.2 ft

73 ft

#92. A circular shaft transmits torque T=5000 N·mm. At radius r=27 mm with polar moment J=700000 mm^4, what is torsional shear stress τ=Tr/J?

0.0003 MPa

5.2071 MPa

5.1852 MPa

0.1929 MPa

#93. A triangular construction lot has vertices at (0,0), (18,1), and (18,20) in a Cartesian site grid measured in m. Using the shoelace method, what is the lot area?

360 m^2

342 m^2

85.5 m^2

171 m^2

#94. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=4.0 in, a2=0.14, m2=1.0, and ignoring D3, what base thickness D2 is needed?

16 in

22.4 in

9.6 in

28.57 in

#95. Differential leveling run: BM elev=559 ft; BS1=7.42 ft, FS1=2 ft, BS2=3.86 ft, FS2=4.67 ft. What is ending elevation?

554.39 ft

563.61 ft

576.95 ft

568.61 ft

#96. A particle starts with speed 9 ft/s and constant acceleration 6 ft/s^2 over displacement 104 ft. Using v^2=v0^2+2as, what is final speed?

0 ft/s

633 ft/s

1329 ft/s

36.46 ft/s

#97. Same steel column has K=0.7 for frame A and K=1.2 for frame B. What is ratio Pcr,A / Pcr,B?

0.583

2.939

0.34

1.714

#98. A unit-price contract has a bid item quantity underrun. Original amount is $59500. A signed change order adds $7100 for additional dewatering. What is the revised contract amount?

$59500

$73700

$66600

$52400

#99. For a rectangle b=8 m, h=11 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

887.33 m^4

1679.33 m^4

896.33 m^4

792 m^4

#100. A geotechnical alert model flags instability (event B). Prior probability of true instability A is 0.25. Sensitivity P(B|A)=0.9, false-positive rate P(B|not A)=0.12. What is P(A|B)?

0.315

0.7143

0.2857

0.78

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

Force method (consistent deformations)

Direct stiffness prohibited for indeterminate systems

Rankine earth-pressure method

Method of joints only

#102. A pump delivers Q=0.08 m^3/s against total dynamic head H=30 m at efficiency η=0.82. What input power is required?

23.54 kW

37.33 kW

2.93 kW

28.71 kW

#103. Coordinates of a triangular lot are (2811,2847), (3168,2847), (2928,2939) ft. What is the area by coordinate method?

16422 ft^2

128.15 ft^2

32844 ft^2

8211 ft^2

#104. Water at 20°C has ν=1.0e-06 m^2/s in a pipe with V=1.6 m/s and D=0.1 m. What Reynolds number Re=VD/ν?

160000

1600000

16000

16

#105. Between two points in water system: p1=220 kPa, z1=102.0 m, V1=1.2 m/s; p2=60 kPa, z2=100.0 m, V2=2.4 m/s; headloss=3.5 m. Required pump head?

6.56 m

-1.56 m

1.56 m

-1.94 m

#106. Below groundwater table at depth z=6.0 m, with γsat=20.0 kN/m^3, what vertical effective stress increment develops?

58.86 kPa

120 kPa

61.14 kPa

30.57 kPa

#107. For stress state σx=110 MPa, σy=-15 MPa, τxy=21 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

125 MPa

65.93 MPa

47.5 MPa

62.5 MPa

#108. A grading detail indicates slope 1V:12H. If vertical rise is 2.0 m, what horizontal run is required?

0.167 m

6 m

12 m

24 m

#109. For a rectangle b=6 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=3 in using parallel-axis theorem.

171.5 in^4

378 in^4

549.5 in^4

180.5 in^4

Exam Simulation No. 8

Results

#1. A PE licensed in one jurisdiction receives a temporary permit in another for emergency flood response. After 36 hours, the PE continues design work outside the temporary permit scope. What is the best compliance interpretation?

#2. Two coplanar forces act at a point: F1 = 10 N at 67° from +x and F2 = 9 N at 117° from +x. What is resultant magnitude?

#3. A steel tension member has gross area Ag=12.0 in^2 and Fy=50 ksi. If yielding controls with φ=0.9, what is design strength φPn?

#4. Water at 20°C has ν=1.1e-06 m^2/s in a pipe with V=2.0 m/s and D=0.1 m. What Reynolds number Re=VD/ν?

#5. A dimensionless loading index is modeled by f(x) = 4x^2 + 6/x for x in [3, 7]. Compute I = integral from 3 to 7 of f(x) dx.

#6. A plane truss has m=26 members, j=16 joints, r=4 reaction components. What is degree of static indeterminacy m+r-2j?

#7. Given specific gravity Gs=2.75, water content w=12%, and void ratio e=0.55, compute degree of saturation Sr=wGs/e.

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

#9. Lines 3x + 4y = -12 and 4x + (-5)y = 14 intersect at P. What is the equation of the line through P that is perpendicular to y = -2x + 1?

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

#11. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=17, Df=2.0 m, B=2.0 m, Nq=18, Nγ=20, find qult.

#12. For a process with known sigma = 7.1, sample size n = 49, and z* = 2.576 for a 99% confidence level, what is the margin of error E for the mean?

#13. A rectangular plate 7in×6in has a centered rectangular hole 5in×2in. What is ȳ from the base?

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

#15. In Hardy Cross analysis of looped distribution systems, what condition must be satisfied at convergence for each loop?

#16. Two coplanar forces act at a point: F1 = 10 lb at 24° from +x and F2 = 18 lb at 111° from +x. What is resultant magnitude?

#17. For a process with known sigma = 4.5, sample size n = 64, and z* = 1.96 for a 95% confidence level, what is the margin of error E for the mean?

#18. A steel member (α=5.5e-06/°F) is 25 ft long and heats by 42°F. What free thermal expansion occurs?

#19. Direct shear test interpretation gives c=18 kPa and φ=24°. At normal stress 80 kPa, what peak shear stress is predicted?

#20. A simply supported beam span 10 ft carries a uniform load w=4 kip/ft over full span and a point load P=9 kip at 4 ft from A. Find reaction at B.

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

#22. Simply supported beam L=36 ft has UDL w=2.4 kip/ft plus point load P=12 kip at a=12 ft from left. What is governing positive moment (critical section approximation)?

#23. For earthwork, cross-sectional areas are A1=1468, Am=2199, A2=2310 ft^2 over spacing L=169 ft. What volume by prismoidal formula?

#24. Flow in a reducer has D1=0.5 m, D2=0.25 m, and upstream velocity V1=1.2 m/s. By continuity, what is V2?

#25. Using Greenshields model v=vf(1-k/kj), maximum flow occurs at k=kj/2. For vf=60 mph and kj=160 veh/mi/ln, what is qmax?

#26. A sediment basin excavation covers 8.0 acres to average depth 2.0 ft. A dozer spread has nominal output 1500 yd^3/day with site efficiency 0.85. How many full days are required (ignore weather)?

#27. A geotechnical alert model flags instability (event B). Prior probability of true instability A is 0.2. Sensitivity P(B|A)=0.85, false-positive rate P(B|not A)=0.2. What is P(A|B)?

#28. A fully restrained steel member has E=193 GPa, α=1.3e-05 /°C, and temperature rise ΔT=43°C. What thermal stress develops (σ=EαΔT)?

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

#30. Coordinates of a triangular lot are (2064,1134), (2409,1134), (2205,1349) ft. What is the area by coordinate method?

#31. A particle starts with speed 25 ft/s and constant acceleration 5 ft/s^2 over displacement 38 ft. Using v^2=v0^2+2as, what is final speed?

#32. A bid has direct costs: labor $180,000, equipment $95,000, materials $260,000, subcontracts $120,000. Apply bond 2.0%, overhead 8%, and fee 6% to direct cost. What is total bid?

#33. For a rectangle b=9 m, h=16 m, find I_x about an axis parallel to centroidal x-axis and offset by d=3 m using parallel-axis theorem.

#34. For a reinforced concrete beam, As=4.0 in^2, fy=60 ksi, d=20 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

#35. A public owner wants early constructor input during design, guaranteed maximum price later, and single-point coordination of trade packages before 100% design completion. Which delivery approach best fits?

#36. Coordinates of a triangular lot are (1553,1476), (1801,1476), (1658,1769) ft. What is the area by coordinate method?

#37. When comparing wastewater lab data against permit limits, which data-quality practice is essential before compliance decisions?

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

#39. 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?

#40. In Hardy Cross analysis of looped distribution systems, what condition must be satisfied at convergence for each loop?

#41. For earthwork, cross-sectional areas are A1=1801, Am=1184, A2=2012 ft^2 over spacing L=55 ft. What volume by prismoidal formula?

#42. A rectangular plate 11m×8m has a centered rectangular hole 3m×7m. What is ȳ from the base?

#43. Differential leveling run: BM elev=318 ft; BS1=5.6 ft, FS1=6.95 ft, BS2=5.98 ft, FS2=6.25 ft. What is ending elevation?

#44. A flood-mitigation project provides immediate present-value benefits of $425000. Initial cost is $457000 plus annual O&M of $27000 for 11 years at 6%. What is the benefit-cost ratio?

#45. A steel tension member has gross area Ag=12.0 in^2 and Fy=50 ksi. If yielding controls with φ=0.9, what is design strength φPn?

#46. When comparing wastewater lab data against permit limits, which data-quality practice is essential before compliance decisions?

#47. Direct shear test interpretation gives c=18 kPa and φ=32°. At normal stress 80 kPa, what peak shear stress is predicted?

#48. A contract has original value $1,250,000 and approved change orders $120,000. Previous paid progress was 35% of current contract value; this month total earned reaches 62%. With 5% retainage on current earnings, what payment is due this month?

#49. Coordinates of a triangular lot are (2799,2603), (3103,2603), (2875,2948) ft. What is the area by coordinate method?

#50. A geotechnical alert model flags instability (event B). Prior probability of true instability A is 0.35. Sensitivity P(B|A)=0.85, false-positive rate P(B|not A)=0.15. What is P(A|B)?

#51. A vertical rectangular gate (width 2.0 m) retains water to depth 1.2 m. What is resultant hydrostatic force on the gate?

#52. A steel member (α=6.0e-06/°F) is 69 ft long and heats by 105°F. What free thermal expansion occurs?

#53. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.35, estimate air voids Va (%).

#54. For one-dimensional consolidation to U≈50%, Tv≈0.197. If drainage path Hdr=1.5 m and Cv=1.2 m^2/yr, estimate time t50.

#55. 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?

#56. A mat foundation is often selected over isolated spread footings when:

#57. A diffuser changes velocity from 2.5 to 1.2 m/s at flow 0.2 m^3/s (water). Ignoring pressure/body forces, what axial force on fluid from momentum equation?

#58. Status values: PV=$800,000, EV=$560,000, AC=$760,000. Which interpretation is correct when SPI=0.7 and CPI=0.737?

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

#60. A grading detail indicates slope 1V:12H. If vertical rise is 2.0 m, what horizontal run is required?

#61. Given specific gravity Gs=2.65, water content w=16%, and void ratio e=0.55, compute degree of saturation Sr=wGs/e.

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

#63. Engineer Quinn 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?

#64. Lime stabilization of clayey subgrade is primarily used to achieve which combined effect?

#65. A block of weight 117 N is on a 15° incline with μs=0.25. What minimum force parallel to plane is required to start moving it up the incline?

#66. A fully restrained steel member has E=210 GPa, α=1.1e-05 /°C, and temperature rise ΔT=31°C. What thermal stress develops (σ=EαΔT)?

#67. A circular shaft transmits torque T=6000 N·mm. At radius r=14 mm with polar moment J=600000 mm^4, what is torsional shear stress τ=Tr/J?

#68. Engineer Casey 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?

#69. A circular shaft transmits torque T=2000 N·mm. At radius r=12 mm with polar moment J=800000 mm^4, what is torsional shear stress τ=Tr/J?

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

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

#72. A contractor must choose between two earthmoving spreads. Spread X has higher nominal output but frequent delays; Spread Y has lower nominal output with significantly better reliability and safer haul routes. Which decision basis is most appropriate?

#73. A circular shaft transmits torque T=2000 N·mm. At radius r=28 mm with polar moment J=600000 mm^4, what is torsional shear stress τ=Tr/J?

#74. Status values: PV=$800,000, EV=$690,000, AC=$620,000. Which interpretation is correct when SPI=0.863 and CPI=1.113?

#75. A rehabilitation program costs $28000 at year-end for 9 years. At interest rate 8%, what is the present worth?

#76. A concrete acceptance plan uses compressive tests at 7 and 28 days. Why are both ages useful?

#77. A steel member (α=6.0e-06/°F) is 39 ft long and heats by 67°F. What free thermal expansion occurs?

#78. A rehabilitation program costs $30000 at year-end for 6 years. At interest rate 7%, what is the present worth?