Shear Wall check ACI 318-19

Shear Wall check ACI 318-19#

Define concrete and steel materials, and then assign the shear wall


from mento import Concrete_ACI_318_19, SteelBar, ShearWall, mm, cm, kN, MPa, m
from mento import Forces, Node

# Define materials
concrete = Concrete_ACI_318_19(name="C25", f_c=25 * MPa)
steel = SteelBar(name="ADN 420", f_y=420 * MPa)

# Define wall geometry:
wall = ShearWall(
    label="W1", concrete=concrete, steel_bar=steel, thickness=25 * cm, length=4.0 * m, height=3.5 * m, c_c=2.0 * cm
)
wall.data

Shear Wall W1, \(l_w\)=400.00 cm, \(t\)=25.00 cm, \(h_w\)=350.00 cm, \(c_c\)=2.00 cm, Concrete C25, Rebar ADN 420.

Set horizontal and vertical distributed reinforcement


# Horizontal rebar (resists in-plane shear)
wall.set_horizontal_rebar(d_b=10 * mm, s=20 * cm)
# Vertical rebar
wall.set_vertical_rebar(d_b=12 * mm, s=15 * cm)
# Plot the wall geometry and reinforcement
wall.plot()

../_images/examples_shear_wall_check_ACI_318-19_4_0.png

Define list of forces applied to the wall and create node


# Define forces acting on the wall
f1 = Forces(label="1.2D+1.0E", V_z=800 * kN)
f2 = Forces(label="0.9D+1.0E", V_z=500 * kN)
# Create node with wall and forces
node_1 = Node(section=wall, forces=[f1, f2])
node_1

Node ID: 2 - Section label: W1
Forces Applied:
  - Force ID: 3, Label: 1.2D+1.0E, N_x: 0.00 kN, V_z: 800.00 kN, M_y: 0.00 kN·m
  - Force ID: 4, Label: 0.9D+1.0E, N_x: 0.00 kN, V_z: 500.00 kN, M_y: 0.00 kN·m

Perform shear check


# Perform all checks
node_1.check()
# Print results in Markdown format
node_1.results

Shear Wall W1, \(l_w\)=400.00 cm, \(t\)=25.00 cm, \(h_w\)=350.00 cm, \(c_c\)=2.00 cm, Concrete C25, Rebar ADN 420.

Horizontal rebar: Ø10/20 cm E.F., \(\rho_t\)=0.00314, Minimum vertical rebar: Ø12/15 cm E.F., \(\rho_l\)=0.00603, \(V_u\)=800 kN, \(\phi V_n\)=1927.1 kN → \(\color{#439b00}{\text{DCR}=0.41}\)


# Print shear results in more detailed format in a DataFrame
node_1.check_shear()

Label Comb. ρt,min ρt,req ρt ρl,min ρl Vu ØVc ØVs ØVn ØVn,max Vu≤ØVn,max Vu≤ØVn DCR
0 kN kN kN kN kN
1 W1 1.2D+1.0E 0.0025 0.0025 0.00314 0.0025 0.00603 800 937.5 989.6 1927.1 2475.0 True True 0.415
2 W1 0.9D+1.0E 0.0025 0.0025 0.00314 0.0025 0.00603 500 937.5 989.6 1927.1 2475.0 True True 0.259

Export table results to Excel


node_1.check_shear().to_excel("ACI 318-19 shear_wall_results.xlsx")

View complete and detailed results for the limiting case of the list of forces


# View detailed shear results
node_1.shear_results_detailed()
===== SHEAR WALL DETAILED RESULTS =====
Materials                            Variable     Value  Unit
----------------------------------  ----------  -------  ------
Section Label                                        W1
Concrete strength                       fc           25  MPa
Steel reinforcement yield strength      fy          420  MPa
Normalweight concrete                   λ             1
Safety factor for shear                 Øv         0.75

Geometry           Variable     Value  Unit
----------------  ----------  -------  ------
Wall thickness        t            25  cm
Wall length           lw          400  cm
Wall height           hw          350  cm
Aspect ratio        hw/lw       0.875
Gross shear area     Acv        10000  cm²

Design forces     Variable     Value  Unit
---------------  ----------  -------  ------
Shear                Vu          800  kN

Check                            Unit     Value  Min.    Max.    Ok?
------------------------------  ------  -------  ------  ------  -----
Horizontal reinforcement ratio          0.00314  0.0025          ✅
Minimum vertical reinf. ratio           0.00603  0.0025          ✅
Horizontal bar spacing (E.F.)     mm        200          450     ✅
Vertical bar spacing (E.F.)       mm        150          450     ✅
Maximum shear capacity            kN        800          2475.0  ✅
Total shear capacity              kN        800          1927.1  ✅

Shear strength            Variable     Value  Unit
-----------------------  ----------  -------  ------
Concrete shear strength     ØVc        937.5  kN
Steel shear strength        ØVs        989.6  kN
Total shear strength        ØVn       1927.1  kN
Maximum shear strength    ØVn,max       2475  kN
Demand Capacity Ratio       DCR        0.415

Export detailed results to a Word document


node_1.shear_results_detailed_doc()