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LevelPE — Civil
SubjectPE — Civil
Year2025 BS
Exam sessionModel questions
Full marks80
Time allowed480 minutes
Questions10, all with step-by-step solutions
A

Civil Engineering

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

RC beam: fc=28MPaf'_c = 28\,\text{MPa}, fy=420MPaf_y = 420\,\text{MPa}, b=300mmb = 300\,\text{mm}, d=500mmd = 500\,\text{mm}, As=1,500mm2A_s = 1{,}500\,\text{mm}^2. Nominal moment capacity (ACI):

a=Asfy0.85fcb,Mn=Asfy(da/2)a = \frac{A_s f_y}{0.85 f'_c b},\quad M_n = A_s f_y(d - a/2)
  • a

    264kN\cdotm264\,\text{kN\cdot m}

  • b

    289kN\cdotm289\,\text{kN\cdot m}

  • c

    315kN\cdotm315\,\text{kN\cdot m}

  • d

    340kN\cdotm340\,\text{kN\cdot m}

Correct answer: b

289kN\cdotm289\,\text{kN\cdot m}

a=630,0007,140=88.24mma = \frac{630{,}000}{7{,}140} = 88.24\,\text{mm} Mn=630,000×455.88289kN\cdotmM_n = 630{,}000 \times 455.88 \approx 289\,\text{kN\cdot m}
structural-design
2Multiple choice1 mark

Retaining wall: ϕ=30\phi' = 30^\circ, γ=18kN/m3\gamma = 18\,\text{kN/m}^3, H=6mH = 6\,\text{m}. Rankine active force:

Ka=tan2(45ϕ/2),Pa=12KaγH2K_a = \tan^2(45^\circ - \phi'/2),\quad P_a = \frac{1}{2}K_a\gamma H^2
  • a

    64.8kN/m64.8\,\text{kN/m}

  • b

    108kN/m108\,\text{kN/m}

  • c

    162kN/m162\,\text{kN/m}

  • d

    216kN/m216\,\text{kN/m}

Correct answer: b

108kN/m108\,\text{kN/m}

Ka=tan2(30)=1/3K_a = \tan^2(30^\circ) = 1/3 Pa=0.5×0.333×18×36=108kN/mP_a = 0.5 \times 0.333 \times 18 \times 36 = 108\,\text{kN/m}
geotechnical-design
3Multiple choice1 mark

Rational Method: A=50haA = 50\,\text{ha}, C=0.60C = 0.60, i=80mm/hri = 80\,\text{mm/hr}:

Q=CiA360Q = \frac{CiA}{360}
  • a

    3.33m3/s3.33\,\text{m}^3/\text{s}

  • b

    6.67m3/s6.67\,\text{m}^3/\text{s}

  • c

    10.0m3/s10.0\,\text{m}^3/\text{s}

  • d

    13.3m3/s13.3\,\text{m}^3/\text{s}

Correct answer: b

6.67m3/s6.67\,\text{m}^3/\text{s}

Q=0.60×80×50360=6.67m3/sQ = \frac{0.60 \times 80 \times 50}{360} = 6.67\,\text{m}^3/\text{s}
water-resources
4Multiple choice1 mark

Horizontal curve: R=300mR = 300\,\text{m}, V=80km/hV = 80\,\text{km/h}. Superelevation + friction:

e+f=V2gRe + f = \frac{V^2}{gR}
  • a

    0.0840.084

  • b

    0.1680.168

  • c

    0.2520.252

  • d

    0.3360.336

Correct answer: b

0.1680.168

e+f=22.2229.81×300=0.168e + f = \frac{22.22^2}{9.81 \times 300} = 0.168
transportation-design
5Multiple choice1 mark

Activities A (5 days) and B (8 days) start simultaneously; C (7 days) starts after both finish. Project duration:

  • a

    12days12\,\text{days}

  • b

    13days13\,\text{days}

  • c

    15days15\,\text{days}

  • d

    20days20\,\text{days}

Correct answer: c

15days15\,\text{days}

A and B run in parallel; earliest C starts is after 8 days. Total = 8 + 7 = 15 days.

construction-management
6Multiple choice1 mark

W-shape steel beam: Zx=1,200×103mm3Z_x = 1{,}200 \times 10^3\,\text{mm}^3, Fy=345MPaF_y = 345\,\text{MPa}. Plastic moment (AISC LRFD):

Mp=FyZxM_p = F_y \cdot Z_x
  • a

    310kN\cdotm310\,\text{kN\cdot m}

  • b

    414kN\cdotm414\,\text{kN\cdot m}

  • c

    520kN\cdotm520\,\text{kN\cdot m}

  • d

    690kN\cdotm690\,\text{kN\cdot m}

Correct answer: b

414kN\cdotm414\,\text{kN\cdot m}

Mp=345×1,200×103=414×106N\cdotmm=414kN\cdotmM_p = 345 \times 1{,}200 \times 10^3 = 414 \times 10^6\,\text{N\cdot mm} = 414\,\text{kN\cdot m}
structural-design
7Multiple choice1 mark

Consolidation: Cc=0.30C_c = 0.30, e0=0.90e_0 = 0.90, H=4mH = 4\,\text{m}, σ0=100kPa\sigma'_0 = 100\,\text{kPa}, Δσ=100kPa\Delta\sigma = 100\,\text{kPa}:

S=CcH1+e0logσ0+Δσσ0S = \frac{C_c H}{1 + e_0} \log\frac{\sigma'_0 + \Delta\sigma}{\sigma'_0}
  • a

    95mm95\,\text{mm}

  • b

    126mm126\,\text{mm}

  • c

    189mm189\,\text{mm}

  • d

    252mm252\,\text{mm}

Correct answer: c

189mm189\,\text{mm}

S=0.30×41.9×log2=0.6316×0.3010=0.190m189mmS = \frac{0.30 \times 4}{1.9} \times \log 2 = 0.6316 \times 0.3010 = 0.190\,\text{m} \approx 189\,\text{mm}
geotechnical-design
8Multiple choice1 mark

Manning's equation. Rectangular channel: b=3mb = 3\,\text{m}, y=1.0my = 1.0\,\text{m}. Hydraulic radius:

R=byb+2yR = \frac{by}{b + 2y}
  • a

    0.50m0.50\,\text{m}

  • b

    0.60m0.60\,\text{m}

  • c

    0.75m0.75\,\text{m}

  • d

    1.00m1.00\,\text{m}

Correct answer: b

0.60m0.60\,\text{m}

R=3×1.03+2=0.60mR = \frac{3 \times 1.0}{3 + 2} = 0.60\,\text{m}
water-resources
9Multiple choice1 mark

HCM freeway LOS: density = 22 pc/km/ln. The LOS is approximately:

  • a

    LOS A (free flow)

  • b

    LOS C (stable flow)

  • c

    LOS D (approaching unstable flow)

  • d

    LOS F (breakdown flow)

Correct answer: c

LOS D (approaching unstable flow)

Per HCM: A<=7, B<=11, C<=16, D<=22, E<=28 pc/km/ln. Density of 22 is at the upper bound of LOS D.

transportation-design
10Multiple choice1 mark

Earned Value: PV = 100,000,EV=100,000, EV = 80,000, AC = $90,000. CPI:

  • a

    0.800.80

  • b

    0.890.89

  • c

    1.001.00

  • d

    1.131.13

Correct answer: b

0.890.89

CPI=EVAC=80,00090,000=0.89\text{CPI} = \frac{EV}{AC} = \frac{80{,}000}{90{,}000} = 0.89

CPI < 1.0 indicates over budget.

construction-management

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