Design #$4$Design #$1$CEEN $5355$ Project

Aquifer Dimensions:

Consider a heterogeneous unconfined aquifer with the following characteristics:

Length $($in the $x-$direction$)$: $1500$ meters

Width $($in the y$-$direction$)$: $800$ meters

Hydraulic Properties:

Hydraulic conductivity varies across the aquifer:

$K_x($horizontal hydraulic conductivity$)$: $1{10}^{-4}\frac{m}{s}$ in the left half, $5{10}^{-5}\frac{m}{s}$

in the right half.

$K_z($vertical hydraulic conductivity$)$: $2{10}^{-5}\frac{m}{s}$ throughout.

Specific storage of the aquifer: $2{10}^{-5}{m}^{-1}$

Boundary Conditions:

Left Boundary $(x=0)($River$)$:

Hydraulic head at the river: $48$ meters

Conductance of the riverbed: $105\frac{m^2}{?}$ day

Width of the river boundary along the entire aquifer:

Extend the river from the top to the bottom of the aquifer.

Right Boundary $(x=1500m($Sea$)$:

Hydraulic head at the sea: $0$ meters

Conductance of the seabed: $105\frac{m^2}{?}$ day

Width of the sea boundary along the entire aquifer:

Extend the sea boundary from the top to the bottom of the aquifer.

Pumping Wells:

Place two pumping well at the following location:

Well $1$: $(x=500m,y=400m),$ Pumping rate $=500$ cubic meters per day

Well $2$: $(x=1000m,y=200m),$ Pumping rate $=300$ cubic meters per day

Each well extends from the top to the bottom of the aquifer.

Assumptions:

Assume reasonable values for any missing information you need.

Need to state these assumptions in the report.

Objective:

Using Modflow, determine the steady$-$state groundwater flow field, including the drawdown

around the pumping wells.

A cantilever beam $1\mathrm{.}35m$ long supports its own dead load plus a

concentrated load located $0\mathrm{.}15m$ from the end of the beam and

$0\mathrm{.}15m$ away from the centroidal axis of the beam as shown. The

beam supports its own dead load plus an unfactored

concentrated load which is $90kN$ dead load and $90kN$ live load.

Design reinforcement for flexure,

shear, and torsion.

Use $f_y=420$MPa for all steel

and $f_c^{\text{'}}=21$MPa.

A cantilever beam $2\mathrm{.}4m$ long and $450mm$ wide supports its

own dead load plus a concentrated load located $150mm$ from

the end of the beam and $115mm$ away from the vertical axis of

the beam. The concentrated load is $67kN$ dead load and $90kN$

live load. Design reinforcement for flexure, shear, and torsion.

Use $f_y=420$MPa for all steel and $f_c^{\text{'}}=26$MPa.

Given the floor system shown in Fig. P$7-3.f_c^{\text{'}}=315$MPa,$f_y=$

$420$MPa for the longitudinal steel and $f_y=280$MPa for the

transverse steel :

a$)$ Design the spandrel beam between columns $A1$ and $B1$ for

bending, shear, and torsion. Check all of the appropriate ACl

Code requirements for strength, minimum reinforcement area,

and reinforcement spacing are satisfied.

$($b$)$ Design the spandrel

beam between columns

A$1$ and A$2$ for bending,

shear, and torsion.

Check that all of the

appropriate ACI Code

requirements for

strength, minimum

reinforcement area, and

reinforcement spacing

are satisfied.