Question

A 3’ wide by 2’ tall concrete rectangular box culvert is 100 feet long on a 1% slope. Find the controlling discharge if the headwater depth at the inlet is 7 feet and tailwater depth is 1 foot. Identify the type of control.

Answer #1

A 100-ft long horizontal concrete pipe culvert (n = 0.012) is to
be sized to carry 38 cfs. The tailwater depth is TW = 3.5 ft. The
inlet will be square edged (ke = 0.5), and the headwater depth, HW,
is not to exceed 4.5 ft. Select a suitable culvert diameter under
outlet control condition.

An overflow structure has three inlets sized 1-ft high by 2-ft
wide as shown in the figure below. The coefficient of discharge is
0.7 for each orifice. The water standing in the intake structure is
4-ft above the top of the box culvert. The coefficient of discharge
of the culvert is 0.67. Assume Manning’s coefficient, n, is 0.013
and the slope is 0.05 for culvert which is 100 feet long.
i. Calculate the total flow entering the overflow structure.
ii....

Question 4
You are pouring
concrete for a 275 foot long DAM , which is comprised of a
rectangular footing, a rectangular stem, and a traingular stem. See
pdf file in this week's folder for figures.
The footing dimension
is 160 feet wide and 11 feet thick, and of course 275
feet long.
The stem rectangle
dimension is 52 feet high and 2 feet thick, and of
course 275 feet long.
The stem triangle
dimension is 54 feet wide , of course...

A small spillway with a height of 3 feet is located in
a rectangular channel 14 feet
wide with a bottom slope of 0.01 and a roughness coefficient of
0.03. The loss
coefficient for flow over the spillway is 0.2. The flow rate is 175
cfs. Determine
how far upstream from the spillway the depth of water will be
within 1% of the
normal depth.

A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot Find the critical number of the cost function.

A rectangular box with a square base has a volume of 4 cubic
feet. If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable The material for the bottom of the box costs $3 per
square foot, the top costs $2 per square foot, and the four sides
cost $5 per square foot. If x is the side length...

A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...

Question 2 a. A new gauging station in a rectangular 30m wide
channel requires the construction of a broad crested weir with a
sill height of 1.8m. The channel slope is 0.002 and has a Manning
coefficient of 0.04. The discharge rate in the river is
approximately 500m'/s and the equation for the weir is 0.1.705CoBh3
where the discharge coefficient is 0.88.
Determine the critical and norrnal depth of the channel.
ii. Determine the depth over the weir.
(5)
(2)...

A rectangular concrete channel
with n=0.013 is to be constructed on 0.5% slope:
1. Design for a flow rate of Q=18 m^3/s.
2. A 30 cm high, 5 m long broad crested weir is placed
in the channel. Calculate the depth upstream y1 and downstream y2
from the weir then get the head loss due to the hydraulic
jump

2. A storage shed is to be built in the shape of a box with a
square base. It is to have a volume of 490 cubic feet. The concrete
for the base costs $7 per square foot, the material for the roof
costs $3 per square foot, and the material for the sides costs
$3.50 per square foot. Find the dimensions of the most economical
shed.
a. The length of one side of the shed's base is...
b. The...

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