FE CIVIL – SECOND SIMULATION

#1. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=6.0 in, a2=0.14, m2=1.0, and ignoring D3, what base thickness D2 is needed?

5.83 in

9.71 in

28.57 in

13.6 in

#2. A rehabilitation program costs $31000 at year-end for 6 years. At interest rate 7%, what is the present worth?

$169927.14

$186000

$147762.73

$442857.14

#3. A rectangular plate 12m×13m has a centered rectangular hole 10m×10m. What is ȳ from the base?

5.91 m

6.5 m

1.5 m

9.18 m

#4. Two coplanar forces act at a point: F1 = 19 lb at 56° from +x and F2 = 12 lb at 119° from +x. What is resultant magnitude?

26.68 lb

7 lb

32.02 lb

31 lb

#5. An asphalt overlay covers 740 m × 22 m at compacted thickness 0.25 m. Use mix density 2400 kg/m^3 and supply+place cost $110/metric ton. What is estimated cost?

$1074480

$9768

$826523.08

$1396824

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

120 kPa

61.14 kPa

58.86 kPa

30.57 kPa

#7. Traverse has two legs: 200 m at azimuth 53°, then 585 m at azimuth 131°. What is straight-line distance from start to end?

525.13 m

656.41 m

785 m

385 m

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

All nodal pressures are identical

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

#9. 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

Discard all outliers without technical review

Use only field probe data for all regulated analytes

Average all historical results regardless of method changes

#10. 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

#11. For reinforcing steel with fy=75 ksi and Es=29000 ksi, what is approximate yield strain εy?

0.00259

0.00026

2175000

0.02586

#12. Using NRCS runoff method: for storm P=3.5 in and curve number CN=75, compute runoff depth Q (in).

1.823 in

1.302 in

2.198 in

0.415 in

#13. Between two points in water system: p1=220 kPa, z1=102.0 m, V1=1.2 m/s; p2=80 kPa, z2=100.0 m, V2=2.0 m/s; headloss=2.5 m. Required pump head?

-2.01 m

0.49 m

-0.49 m

5.49 m

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

Mode choice calibration only

Trip generation only

Traffic assignment only

Trip distribution step

#15. For crest vertical curve design with grade change A=5.0%, choose K=48.67 from SSD criteria (given). What curve length L=KA is required?

121.7 ft

9.7 ft

365 ft

243.3 ft

#16. A steel member (α=6.5e-06/°F) is 24 ft long and heats by 61°F. What free thermal expansion occurs?

0.0008 ft

0.1142 ft

0.0095 ft

0.0004 ft

#17. A simply supported beam span 23 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 11 ft from A. Find reaction at B.

8.61 kip

54.61 kip

55.39 kip

55 kip

#18. Differential leveling run: BM elev=347 ft; BS1=6.93 ft, FS1=6.04 ft, BS2=6.32 ft, FS2=5.5 ft. What is ending elevation?

345.29 ft

348.71 ft

371.79 ft

353.71 ft

#19. 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

Field superintendent verbal direction automatically governs

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

The oldest drawing note always governs

#20. A rectangular plate 9in×7in has a centered rectangular hole 3in×3in. What is ȳ from the base?

3.83 in

2 in

3.25 in

3.5 in

#21. Engineer Jordan 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

Stamp only the title sheet to avoid full responsibility

Decline certification until competent review verifies the design meets standards

Certify immediately because the owner accepts all risk

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

44.5 kN

35.32 kN

31.78 kN

15.89 kN

#23. A slender rod of mass 15 kg and length 6 m rotates about its centroidal axis perpendicular to the rod. What is mass moment of inertia?

180 kg·m^2

90 kg·m^2

45 kg·m^2

270 kg·m^2

#24. A block of weight 279 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?

4.84 N

269.49 N

69.75 N

139.58 N

#25. A steel member (α=6.0e-06/°F) is 64 ft long and heats by 53°F. What free thermal expansion occurs?

0.0017 ft

0.0003 ft

0.0204 ft

0.2442 ft

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

Chlorination before aeration always minimizes byproducts

Clarification is unnecessary once disinfectant is added

Lower suspended solids improve disinfectant effectiveness and pathogen inactivation reliability

Disinfection replaces need for biological treatment

#27. Direct shear test interpretation gives c=8 kPa and φ=28°. At normal stress 80 kPa, what peak shear stress is predicted?

65.7 kPa

42.54 kPa

37.56 kPa

50.54 kPa

#28. A simply supported beam span 9 ft has full-span UDL w=3 kip/ft plus point load P=9 kip at x=5 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

40.5 kip-ft

51.04 kip-ft

166.5 kip-ft

50.62 kip-ft

#29. A cut of 5043 bank yd^3 has swell 15%, hauled in 10-yd^3 trucks. Round-trip cycle is 30 min, 8-hour day, efficiency 0.8. What minimum number of trucks is needed to haul in one day?

52 trucks

667 trucks

54 trucks

53 trucks

#30. Using LRFD combo U=1.2D+1.6L+0.5W with D=44 kip, L=77 kip, W=29 kip, what is factored load U?

170.5 kip

150 kip

192.5 kip

190.5 kip

#31. A steel member (α=6.5e-06/°F) is 42 ft long and heats by 100°F. What free thermal expansion occurs?

0.0023 ft

0.0006 ft

0.3276 ft

0.0273 ft

#32. Lines 2x + 3y = -11 and 2x + (-5)y = 11 intersect at P. What is the equation of the line through P that is perpendicular to y = -2x + 1?

y = -2x + 2.06

y = -0.5x + 2.06

y = 0.5x + -2.06

y = 0.5x + 2.06

#33. Lines 1x + 2y = -16 and 4x + (-2)y = 11 intersect at P. What is the equation of the line through P that is perpendicular to y = -0.5x + 1?

y = -2x + 5.5

y = -0.5x + 5.5

y = 2x + -5.5

y = 2x + 5.5

#34. A grading detail indicates slope 1V:12H. If vertical rise is 1.0 m, what horizontal run is required?

0.083 m

12 m

6 m

10.08 m

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

ML

CH (high-plasticity clay)

CL

SM

#36. 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

#37. 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?

2475 veh/h/ln

90 veh/h/ln

9900 veh/h/ln

1237.5 veh/h/ln

#38. Flow in a reducer has D1=0.3 m, D2=0.25 m, and upstream velocity V1=1.5 m/s. By continuity, what is V2?

1.042 m/s

1.08 m/s

2.16 m/s

3.24 m/s

#39. A fully restrained steel member has E=196 GPa, α=1.2e-05 /°C, and temperature rise ΔT=38°C. What thermal stress develops (σ=EαΔT)?

2.35 MPa (compression)

893.76 MPa (compression)

3.19 MPa

89.38 MPa (compression)

#40. 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

Permanent abstraction of all runoff volume

Increasing impervious area to shorten time of concentration

Immediate bypass of all stormwater to downstream channel

#41. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=19, Df=2.0 m, B=2.5 m, Nq=18, Nγ=20, find qult.

3477 kPa

38 kPa

1159 kPa

386.33 kPa

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

Mode choice calibration only

Trip generation only

Traffic assignment only

Trip distribution step

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

Discard all outliers without technical review

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

Use only field probe data for all regulated analytes

Average all historical results regardless of method changes

#44. For a retaining wall with uniform surcharge q=15 kPa and active coefficient Ka=0.28, what is lateral force from surcharge over height H=6 m (per meter length)?

4.2 kN/m

25.2 kN/m

50.4 kN/m

12.6 kN/m

#45. 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 a non-economic externality excluded from analysis

As a sunk cost because payroll exists

As an unavoidable fixed cost identical for all alternatives

As an incremental direct cost attributable to that alternative

#46. For a reinforced concrete beam, As=3.0 in^2, fy=75 ksi, d=18 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

278.44 kip-ft

309.38 kip-ft

348.05 kip-ft

200.4768 kip-ft

#47. For real flow between two points, which Bernoulli extension is correct?

Total head at 1 plus pump head minus turbine head equals total head at 2 plus head loss

Velocity head is ignored whenever Reynolds number is high

Head loss is added to increase total mechanical energy

Static pressure remains constant when elevation changes

#48. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.45, estimate air voids Va (%).

8.94%

5.94%

4.16%

94.06%

#49. For one-dimensional consolidation to U≈50%, Tv≈0.197. If drainage path Hdr=1.5 m and Cv=2.0 m^2/yr, estimate time t50.

0.222 yr

0.887 yr

0.75 yr

0.055 yr

#50. For crest vertical curve design with grade change A=6.0%, choose K=39.42 from SSD criteria (given). What curve length L=KA is required?

354.8 ft

118.3 ft

236.5 ft

6.6 ft

#51. For earthwork, cross-sectional areas are A1=1297, Am=2012, A2=2164 ft^2 over spacing L=176 ft. What volume by prismoidal formula?

337597.333 ft^3

304568 ft^3

321082.667 ft^3

12503.605 ft^3

#52. A plane truss has m=24 members, j=9 joints, r=3 reaction components. What is degree of static indeterminacy m+r-2j?

-9

9

10

11

#53. Below groundwater table at depth z=8.0 m, with γsat=20.0 kN/m^3, what vertical effective stress increment develops?

78.48 kPa

81.52 kPa

40.76 kPa

160 kPa

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

Always increases apparent cohesion

No influence on strength parameters

Decreases effective normal stress and reduces factor of safety

Increases shear strength through higher effective stress

#55. A 30 kg block slides down a 30° incline with kinetic friction μ=0.1. What is acceleration magnitude along plane (g=9.81 m/s^2)?

5.75 m/s^2

4.9 m/s^2

0.98 m/s^2

4.06 m/s^2

#56. Given vectors a=[6, -1, 8] and b=[3, 9, 1], what is the scalar projection of a onto b (comp_b a)?

3.78

0.19

1.78

17

#57. A consultant deviates from accepted pavement testing standards and the owner incurs $249000 in corrective work. Which legal theory most directly supports owner recovery?

Force majeure because testing involved uncertainty

Professional negligence based on breach of the standard of care

Unjust enrichment regardless of professional duty

Strict criminal liability without proof of breach

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

Provide protected left-turn phasing with optimized cycle split

Increase posted speed through intersection

Remove all left-turn lanes

Use stop control on all approaches simultaneously

#59. 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.

0.164 yr

2.627 yr

0.657 yr

1.667 yr

#60. A simply supported beam with centered load P=24 kip has E=29000 ksi, I=320 in^4, span L=216 in. Compute midspan deflection δ=PL^3/(48EI).

0.181 in

1.6289 in

0.0006 in

0.543 in

#61. For stress state σx=75 MPa, σy=84 MPa, τxy=73 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

73.14 MPa

-4.5 MPa

9 MPa

79.5 MPa

#62. Traverse has two legs: 248 m at azimuth 31°, then 279 m at azimuth 140°. What is straight-line distance from start to end?

245.66 m

527 m

307.07 m

31 m

#63. A plane truss has m=30 members, j=18 joints, r=6 reaction components. What is degree of static indeterminacy m+r-2j?

3

1

0

2

#64. 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

19.78 kN

23.54 kN

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

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

Differential settlement is irrelevant

Only temporary structures are supported

Bedrock is shallow and loads are very light

#66. A rectangular plate 8m×10m has a centered rectangular hole 4m×9m. What is ȳ from the base?

4.84 m

5.41 m

5 m

0.5 m

#67. 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

Provide protected left-turn phasing with optimized cycle split

Use stop control on all approaches simultaneously

Increase posted speed through intersection

#68. 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 a non-economic externality excluded from analysis

As an unavoidable fixed cost identical for all alternatives

As an incremental direct cost attributable to that alternative

As a sunk cost because payroll exists

#69. A treatment process receives Q=16 MGD with influent BOD 180 mg/L and effluent 20 mg/L. What percent removal is achieved?

11.11%

98.89%

88.89%

74.6676%

#70. A consultant deviates from accepted pavement testing standards and the owner incurs $237000 in corrective work. Which legal theory most directly supports owner recovery?

Force majeure because testing involved uncertainty

Strict criminal liability without proof of breach

Unjust enrichment regardless of professional duty

Professional negligence based on breach of the standard of care

#71. Two retaining-wall faces are modeled by parallel lines 6x + 4y + (-9) = 0 and 6x + 4y + 11 = 0, with coordinates in m. What is the perpendicular separation between the faces?

1.39 m

20 m

11.55 m

2.77 m

#72. For stress state σx=138 MPa, σy=10 MPa, τxy=48 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

74 MPa

128 MPa

64 MPa

80 MPa

#73. Flow in a reducer has D1=0.4 m, D2=0.15 m, and upstream velocity V1=1.8 m/s. By continuity, what is V2?

0.253 m/s

19.2 m/s

12.8 m/s

6.4 m/s

#74. A linear model y = b0 + b1x has summary values: xbar=51, ybar=65, Sxx=141, Sxy=239.7. What is the predicted y at x=59?

100.3

78.6

76.9

80.3

#75. For a rectangle b=8 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=2 in using parallel-axis theorem.

452.67 in^4

224 in^4

232.67 in^4

228.67 in^4

#76. A rectangular plate 7in×7in has a centered rectangular hole 3in×4in. What is ȳ from the base?

3.99 in

1.5 in

3.5 in

3.2 in

#77. Flow in a reducer has D1=0.3 m, D2=0.15 m, and upstream velocity V1=1.8 m/s. By continuity, what is V2?

10.8 m/s

7.2 m/s

0.45 m/s

3.6 m/s

#78. A simply supported beam span 9 m has full-span UDL w=8 kN/m plus point load P=16 kN at x=5 m from left. What is the maximum positive bending moment (approx., governing critical section)?

404 kN-m

99 kN-m

117 kN-m

116.16 kN-m

#79. A steel tension member has gross area Ag=12.0 in^2 and Fy=65 ksi. If yielding controls with φ=0.9, what is design strength φPn?

842.4 kip

505.44 kip

702 kip

780 kip

#80. Water at 20°C has ν=1.3e-06 m^2/s in a pipe with V=0.8 m/s and D=0.05 m. What Reynolds number Re=VD/ν?

30769

3077

12307692

307692

#81. 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

#82. Between two points in water system: p1=220 kPa, z1=110.0 m, V1=1.2 m/s; p2=60 kPa, z2=95.0 m, V2=2.0 m/s; headloss=2.5 m. Required pump head?

-15.03 m

-7.53 m

12.53 m

-12.53 m

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

24.89 in

17.78 in

10.67 in

28.57 in

#84. An asphalt overlay covers 740 m × 26 m at compacted thickness 0.25 m. Use mix density 2500 kg/m^3 and supply+place cost $95/metric ton. What is estimated cost?

$878750

$12025

$1485087.5

$1142375

#85. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=5.0 in, a2=0.14, m2=1.0, and ignoring D3, what base thickness D2 is needed?

7.71 in

18 in

28.57 in

12.86 in

#86. A slender rod of mass 8 kg and length 6 m rotates about its centroidal axis perpendicular to the rod. What is mass moment of inertia?

96 kg·m^2

144 kg·m^2

48 kg·m^2

24 kg·m^2

#87. For a reinforced concrete beam, As=4.0 in^2, fy=75 ksi, d=18 in, a=3.5 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

457.03 kip-ft

365.62 kip-ft

263.2464 kip-ft

406.25 kip-ft

#88. A simply supported beam with centered load P=12 kip has E=29000 ksi, I=240 in^4, span L=264 in. Compute midspan deflection δ=PL^3/(48EI).

0.6609 in

1.9827 in

0.0005 in

0.2203 in

#89. A unit-price contract has a bid item quantity underrun. Original amount is $71800. A signed change order adds $7700 for additional dewatering. What is the revised contract amount?

$87200

$71800

$64100

$79500

#90. For force vectors A=[5, 4, 7], B=[-3, 6, 0], and C=[2, -5, 7], compute the magnitude of resultant R = A – 2B + 3C in kN.

40.02

4.69

20.01

68

#91. A project has three mutually exclusive outcomes: high gain $251000 with probability 25%, moderate gain $77000 with probability 20%, and loss $111000 otherwise. What is expected value?

$139200

$140000

$11970

$17100

#92. Differential leveling run: BM elev=450 ft; BS1=4.48 ft, FS1=4.27 ft, BS2=4.86 ft, FS2=5.93 ft. What is ending elevation?

454.13 ft

469.54 ft

450.87 ft

449.13 ft

#93. Simply supported beam L=30 ft has UDL w=1.2 kip/ft plus point load P=10 kip at a=12 ft from left. What is governing positive moment (critical section approximation)?

240 kip-ft

210 kip-ft

312 kip-ft

172.5 kip-ft

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

Trip distribution step

Traffic assignment only

Mode choice calibration only

Trip generation only

#95. For a confined aquifer drawdown screening (Cooper-Jacob style), with pumping Q=900 m^3/day, transmissivity T=350 m^2/day, and dimensionless log term log10(…)=3, estimate drawdown coefficient part s=Q/(2πT)*log term.

0.614 m

1.228 m

2.456 m

2.571 m

#96. Material test results occur at values 16, 39, and 41 MPa with frequencies 8, 6, and 5. What is the weighted mean strength?

29.84 MPa

31.5 MPa

32 MPa

41 MPa

#97. Three edge vectors of a skewed material cell are a=[-2, 3, 3], b=[0, -1, 6], c=[0, 4, 3] (ft). What is the cell volume |a·(b×c)|?

54 ft^3

16 ft^3

27 ft^3

108 ft^3

#98. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.8, a1=0.44, D1=4.0 in, a2=0.14, m2=1.1, and ignoring D3, what base thickness D2 is needed?

27.64 in

34.29 in

19.74 in

11.84 in

#99. Status values: PV=$800,000, EV=$560,000, AC=$620,000. Which interpretation is correct when SPI=0.7 and CPI=0.903?

Project is ahead of schedule but over budget

Project is behind schedule and over budget

Project is behind schedule but under budget

Project is ahead of schedule and under budget

#100. A fully restrained steel member has E=199 GPa, α=1.2e-05 /°C, and temperature rise ΔT=83°C. What thermal stress develops (σ=EαΔT)?

1982.04 MPa (compression)

3.98 MPa

198.2 MPa (compression)

2.39 MPa (compression)

#101. A project has three mutually exclusive outcomes: high gain $242000 with probability 35%, moderate gain $104000 with probability 15%, and loss $141000 otherwise. What is expected value?

$20860

$101000

$29800

$170800

#102. 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

63.57 kN

89 kN

31.78 kN

#103. Traverse has two legs: 516 m at azimuth 65°, then 256 m at azimuth 156°. What is straight-line distance from start to end?

572 m

260 m

457.6 m

772 m

#104. A simply supported beam span 13 ft has full-span UDL w=9 kip/ft plus point load P=8 kip at x=8 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

203.12 kip-ft

216.12 kip-ft

210.65 kip-ft

824.5 kip-ft

#105. A simply supported beam span 15 m has full-span UDL w=5 kN/m plus point load P=20 kN at x=10 m from left. What is the maximum positive bending moment (approx., governing critical section)?

195.07 kN-m

178.12 kN-m

762.5 kN-m

215.62 kN-m

#106. A profile shows a symmetric vertical curve from Sta 12+50 to Sta 16+75. Incoming grade is +2.0%, outgoing grade is -2.0%, and elevation at PVC is 250.0 ft. Assuming linear grade change about PVI at midpoint, what is approximate elevation at PVT?

320 ft

258.5 ft

250 ft

241.5 ft

#107. Traverse has two legs: 435 m at azimuth 24°, then 597 m at azimuth 140°. What is straight-line distance from start to end?

451.1 m

563.87 m

1032 m

162 m

#108. A grading detail indicates slope 1V:10H. If vertical rise is 1.0 m, what horizontal run is required?

8.4 m

0.1 m

10 m

5 m

#109. A slender rod of mass 10 kg and length 6 m rotates about its centroidal axis perpendicular to the rod. What is mass moment of inertia?

60 kg·m^2

30 kg·m^2

120 kg·m^2

180 kg·m^2

Exam Simulation No. 2

Results

#1. Using AASHTO-style SN=a1D1+a2m2D2+a3m3D3, with SN=4.0, a1=0.44, D1=6.0 in, a2=0.14, m2=1.0, and ignoring D3, what base thickness D2 is needed?

#2. A rehabilitation program costs $31000 at year-end for 6 years. At interest rate 7%, what is the present worth?

#3. A rectangular plate 12m×13m has a centered rectangular hole 10m×10m. What is ȳ from the base?

#4. Two coplanar forces act at a point: F1 = 19 lb at 56° from +x and F2 = 12 lb at 119° from +x. What is resultant magnitude?

#5. An asphalt overlay covers 740 m × 22 m at compacted thickness 0.25 m. Use mix density 2400 kg/m^3 and supply+place cost $110/metric ton. What is estimated cost?

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

#7. Traverse has two legs: 200 m at azimuth 53°, then 585 m at azimuth 131°. What is straight-line distance from start to end?

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

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

#10. 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?

#11. For reinforcing steel with fy=75 ksi and Es=29000 ksi, what is approximate yield strain εy?

#12. Using NRCS runoff method: for storm P=3.5 in and curve number CN=75, compute runoff depth Q (in).

#13. Between two points in water system: p1=220 kPa, z1=102.0 m, V1=1.2 m/s; p2=80 kPa, z2=100.0 m, V2=2.0 m/s; headloss=2.5 m. Required pump head?

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

#15. For crest vertical curve design with grade change A=5.0%, choose K=48.67 from SSD criteria (given). What curve length L=KA is required?

#16. A steel member (α=6.5e-06/°F) is 24 ft long and heats by 61°F. What free thermal expansion occurs?

#17. A simply supported beam span 23 ft carries a uniform load w=4 kip/ft over full span and a point load P=18 kip at 11 ft from A. Find reaction at B.

#18. Differential leveling run: BM elev=347 ft; BS1=6.93 ft, FS1=6.04 ft, BS2=6.32 ft, FS2=5.5 ft. What is ending elevation?

#19. 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?

#20. A rectangular plate 9in×7in has a centered rectangular hole 3in×3in. What is ȳ from the base?

#21. Engineer Jordan 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?

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

#23. A slender rod of mass 15 kg and length 6 m rotates about its centroidal axis perpendicular to the rod. What is mass moment of inertia?

#24. A block of weight 279 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?

#25. A steel member (α=6.0e-06/°F) is 64 ft long and heats by 53°F. What free thermal expansion occurs?

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

#27. Direct shear test interpretation gives c=8 kPa and φ=28°. At normal stress 80 kPa, what peak shear stress is predicted?

#28. A simply supported beam span 9 ft has full-span UDL w=3 kip/ft plus point load P=9 kip at x=5 ft from left. What is the maximum positive bending moment (approx., governing critical section)?

#29. A cut of 5043 bank yd^3 has swell 15%, hauled in 10-yd^3 trucks. Round-trip cycle is 30 min, 8-hour day, efficiency 0.8. What minimum number of trucks is needed to haul in one day?

#30. Using LRFD combo U=1.2D+1.6L+0.5W with D=44 kip, L=77 kip, W=29 kip, what is factored load U?

#31. A steel member (α=6.5e-06/°F) is 42 ft long and heats by 100°F. What free thermal expansion occurs?

#32. Lines 2x + 3y = -11 and 2x + (-5)y = 11 intersect at P. What is the equation of the line through P that is perpendicular to y = -2x + 1?

#33. Lines 1x + 2y = -16 and 4x + (-2)y = 11 intersect at P. What is the equation of the line through P that is perpendicular to y = -0.5x + 1?

#34. A grading detail indicates slope 1V:12H. If vertical rise is 1.0 m, what horizontal run is required?

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

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

#37. 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?

#38. Flow in a reducer has D1=0.3 m, D2=0.25 m, and upstream velocity V1=1.5 m/s. By continuity, what is V2?

#39. A fully restrained steel member has E=196 GPa, α=1.2e-05 /°C, and temperature rise ΔT=38°C. What thermal stress develops (σ=EαΔT)?

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

#41. For c=0 strip footing approximation qult=γDfNq+0.5γBNγ. Given γ=19, Df=2.0 m, B=2.5 m, Nq=18, Nγ=20, find qult.

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

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

#44. For a retaining wall with uniform surcharge q=15 kPa and active coefficient Ka=0.28, what is lateral force from surcharge over height H=6 m (per meter length)?

#45. 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?

#46. For a reinforced concrete beam, As=3.0 in^2, fy=75 ksi, d=18 in, a=3.0 in. Compute design moment φMn with Mn=Asfy(d-a/2), φ=0.9.

#47. For real flow between two points, which Bernoulli extension is correct?

#48. For an asphalt mix with binder content 5.6% by total mass, Gsb=2.7, and bulk mix specific gravity Gmb=2.45, estimate air voids Va (%).

#49. For one-dimensional consolidation to U≈50%, Tv≈0.197. If drainage path Hdr=1.5 m and Cv=2.0 m^2/yr, estimate time t50.

#50. For crest vertical curve design with grade change A=6.0%, choose K=39.42 from SSD criteria (given). What curve length L=KA is required?

#51. For earthwork, cross-sectional areas are A1=1297, Am=2012, A2=2164 ft^2 over spacing L=176 ft. What volume by prismoidal formula?

#52. A plane truss has m=24 members, j=9 joints, r=3 reaction components. What is degree of static indeterminacy m+r-2j?

#53. Below groundwater table at depth z=8.0 m, with γsat=20.0 kN/m^3, what vertical effective stress increment develops?

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

#55. A 30 kg block slides down a 30° incline with kinetic friction μ=0.1. What is acceleration magnitude along plane (g=9.81 m/s^2)?

#56. Given vectors a=[6, -1, 8] and b=[3, 9, 1], what is the scalar projection of a onto b (comp_b a)?

#57. A consultant deviates from accepted pavement testing standards and the owner incurs $249000 in corrective work. Which legal theory most directly supports owner recovery?

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

#59. 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.

#60. A simply supported beam with centered load P=24 kip has E=29000 ksi, I=320 in^4, span L=216 in. Compute midspan deflection δ=PL^3/(48EI).

#61. For stress state σx=75 MPa, σy=84 MPa, τxy=73 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

#62. Traverse has two legs: 248 m at azimuth 31°, then 279 m at azimuth 140°. What is straight-line distance from start to end?

#63. A plane truss has m=30 members, j=18 joints, r=6 reaction components. What is degree of static indeterminacy m+r-2j?

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

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

#66. A rectangular plate 8m×10m has a centered rectangular hole 4m×9m. What is ȳ from the base?

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

#68. 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?

#69. A treatment process receives Q=16 MGD with influent BOD 180 mg/L and effluent 20 mg/L. What percent removal is achieved?

#70. A consultant deviates from accepted pavement testing standards and the owner incurs $237000 in corrective work. Which legal theory most directly supports owner recovery?

#71. Two retaining-wall faces are modeled by parallel lines 6x + 4y + (-9) = 0 and 6x + 4y + 11 = 0, with coordinates in m. What is the perpendicular separation between the faces?

#72. For stress state σx=138 MPa, σy=10 MPa, τxy=48 MPa, what is in-plane maximum shear stress τmax (Mohr’s circle)?

#73. Flow in a reducer has D1=0.4 m, D2=0.15 m, and upstream velocity V1=1.8 m/s. By continuity, what is V2?

#74. A linear model y = b0 + b1x has summary values: xbar=51, ybar=65, Sxx=141, Sxy=239.7. What is the predicted y at x=59?

#75. For a rectangle b=8 in, h=7 in, find I_x about an axis parallel to centroidal x-axis and offset by d=2 in using parallel-axis theorem.

#76. A rectangular plate 7in×7in has a centered rectangular hole 3in×4in. What is ȳ from the base?

#77. Flow in a reducer has D1=0.3 m, D2=0.15 m, and upstream velocity V1=1.8 m/s. By continuity, what is V2?

#78. A simply supported beam span 9 m has full-span UDL w=8 kN/m plus point load P=16 kN at x=5 m from left. What is the maximum positive bending moment (approx., governing critical section)?