Welcome 👋 This channel posts one FE Civil / PE Civil (Water Resources & Environmental) problem per day — exam-style, with the trap explained and a full worked solution. Everything is free: 34 topic mini-quizzes, exam calculators (Manning's, Hazen-Williams, Rational Method and more) and a complete formula index at waterresourceshub.com. Independent study aid — not affiliated with or endorsed by NCEES.

Full solution + a free 7-question open-channel quiz: https://waterresourceshub.com/open-channel-flow?utm_source=telegram&utm_medium=community&utm_campaign=daily_problem&utm_content=manning_poll_01

Full rainfall-runoff topic + free 7-question hydrology quiz: https://waterresourceshub.com/hydrology?utm_source=telegram&utm_medium=community&utm_campaign=daily_problem&utm_content=rational_poll_02

💧 Daily problem — PE WRE · Hydrology · SCS Curve Number (converted from SI)

A 960-acre watershed has a runoff curve number of CN = 78. A storm drops 3.5 in of rain. Using the SCS curve-number method (initial abstraction Ia = 0.2S), the total runoff volume is most nearly:

A) 12 ac-ft
B) 80 ac-ft
C) 120 ac-ft
D) 155 ac-ft

Worked solution 👇
https://waterresourceshub.com/hydrology.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 Daily problem — PE WRE · Open Channel · Manning's (converted from SI)

A trapezoidal channel has a 10-ft bottom width, 2H:1V side slopes, and Manning's n = 0.014. It runs on a slope of 0.0008. At a flow depth of 5 ft, the discharge is most nearly:

A) 411 cfs
B) 878 cfs
C) 637 cfs
D) 429 cfs

Worked solution 👇
https://waterresourceshub.com/manning.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 Daily problem — PE WRE · Closed Conduit · Darcy–Weisbach + minors (already US — verified)

A 1.5-ft-diameter pipe, 2,400 ft long, carries water at 5.0 ft/s. The Darcy friction factor is f = 0.018. Minor losses are: entrance (K = 0.5), two 90° flanged elbows (K = 0.9 each), and one fully open gate valve (K = 0.15). The total head loss (friction + minor) is most nearly:

A) 1.9 ft
B) 11.2 ft
C) 12.1 ft
D) 39.8 ft

Worked solution 👇
https://waterresourceshub.com/pipe-flow.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 Daily problem — FE Civil · Fluid Mechanics · Venturi meter (converted from SI)

A venturi meter is installed in a 12-in-diameter pipe. The throat diameter is 6 in. The piezometric head difference between the upstream section and the throat is 2.8 ft. With a discharge coefficient Cd = 0.98, the flow rate is most nearly:

A) 2.58 cfs
B) 2.67 cfs
C) 2.72 cfs
D) 10.7 cfs

Worked solution 👇
https://waterresourceshub.com/continuity-bernoulli-momentum.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 Daily problem — PE WRE · Project Sitework · Average end area + shrinkage (already US — verified)

An excavation is surveyed at 100-ft stations. Cross-sectional cut areas are 240 ft² at Sta 10+00, 360 ft² at Sta 11+00, and 180 ft² at Sta 12+00. The excavated material will be reused as compacted fill; the shrinkage factor is 0.90 (1.00 yd³ in place → 0.90 yd³ compacted). Using the average-end-area method, the compacted fill volume obtained is most nearly:

A) 1,730 yd³
B) 1,900 yd³
C) 2,110 yd³
D) 2,320 yd³

Worked solution 👇
https://waterresourceshub.com/earthwork.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

Our timed exam simulators are live 💧

FE Civil: 110 questions, 5 hours 20 minutes — under real exam conditions.
PE Civil (Water Resources): 80 questions, 8 hours.

Full countdown timer, question palette, flagging — then instant scoring with topic-by-topic diagnostics and worked solutions when you finish.

Try 3 free sample questions first, no payment needed.

$24 for one week (1 full simulation) or $50 for two weeks (3 simulations).

👉 https://exam.waterresourceshub.com

🎯 <b>Ready for a practice exam?</b>

Full-length timed FE Civil and PE Civil (WRE) exam simulations are now live!

✅ 110 questions, real exam timing
✅ Instant scoring + worked solutions
✅ Secure PayPal checkout

⚡ <b>Limited-time launch price: $24</b> (was $79)

👉 https://exam.waterresourceshub.com/

💧 Daily problem — PE WRE · Groundwater · Thiem confined aquifer (converted from SI)

A well pumps 400 gpm at a constant rate from a confined aquifer 60 ft thick. After steady state is reached, drawdown is 7.5 ft in an observation well 50 ft from the pumping well and 3.0 ft in an observation well 200 ft away. The pumping well radius is 1.0 ft. The drawdown in the pumping well is most nearly:

A) 7.5 ft
B) 13.0 ft
C) 20.2 ft
D) 36.7 ft

Worked solution 👇
https://waterresourceshub.com/groundwater.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 <b>Welcome to Water Resources Hub!</b>

This community runs on <b>two sites</b>:

📚 <b>Free learning hub</b> — waterresourceshub.com
Free theory, formulas, calculators, and practice quizzes for FE & PE Civil (Water Resources). No account needed.

🎯 <b>Paid exam simulations</b> — exam.waterresourceshub.com
Full-length timed FE (110Q) and PE WRE (80Q) simulations with instant scoring and worked solutions. From $24 — limited-time launch price (was $79).

Start free, test yourself when you're ready. Good luck! 🍀

💧 Daily problem — PE WRE · Analysis & Design · Rational + pipe sizing (already US — verified)

A storm sewer must carry runoff from a 12-acre drainage area with a runoff coefficient C = 0.55 and a design rainfall intensity i = 4.2 in/hr. The sewer (Manning's n = 0.013) will be laid on a 1.0% slope and is designed to flow full. The smallest standard pipe diameter (from 24, 27, 30, 36 in) that can carry the design flow is:

A) 24 in
B) 27 in
C) 30 in
D) 36 in

Worked solution 👇
https://waterresourceshub.com/hydrology.html?utm_source=telegram&utm_medium=channel&utm_campaign=daily_problem

Independent study aid. Not affiliated with or endorsed by NCEES.

💧 Daily FE/PE Problem — Manning's Equation

A rectangular channel 3 m wide carries water 1.5 m deep. Slope = 0.002, n = 0.014. Find the flow rate Q.

Solution:
A = 3 × 1.5 = 4.5 m²
P = 3 + 2(1.5) = 6.0 m
R = A/P = 0.75 m
Q = (1/n)·A·R^(2/3)·S^(1/2)
Q = (1/0.014)(4.5)(0.75)^(2/3)(0.002)^(1/2)
Q ≈ 11.9 m³/s

⚠️ Trap: R = A/P — don't use D/4 unless it's a full circular pipe. And double-check n for your unit system.

More free worked problems: waterresourceshub.com