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Concrete Wall to AS3600's banner

Concrete Wall to AS3600

Verified by the CalcTree engineering team on October 18, 2024.

This calculator performs capacity checks for a concrete braced wall. It checks axial, shear and slenderness using the simplified method of Section 11 in AS3600:2018.
This calculation has been written in accordance with AS3600:2018

Results Summary

Summary 
Design Check
Parameter
Utilisation
Status
Shear
ϕVu = 3369.0 kN
0.89
🟢
Axial
ϕNu = 10471.5 kN
0.86
🟢
Slenderness
Limit: 30
Ratio: 7.50
🟢
Reinforcement 
Location
Length
N bars
Consumption
Vertical
2.96 m
28
130.81 kg
Horizontal
1.96 m
26
31.42 kg
Total
N/A
N/A
162.23 kg
Can’t display the image because of an internal error. Our team is looking at the issue.


Calculation

Technical notes

Assumptions:
  1. Wall is considered braced and under net compression across its full length, which therefore permits the use of the simplified method according to Section 11.5 and 11.6.
  2. Wall is with floors above and below that provide lateral support at both ends. No intersecting walls are considered, hence the wall is only subject to one-way buckling, i.e.
    
    or
    
    .
  3. The reinforcement density is used to calculate the steel tonnages, as presented in the summary table above.
  4. Self-weight of the wall is excluded from the calculations. The user should include self-weight in their
    
    .
As per Clause 11.5.2, the limitations to use of the simplified method are that the wall:
  1. is limited to a maximum design axial stress of 3MPa, unless vertical and horizontal reinforcement is provided on both wall faces and divided equally between the two faces.
  1. is not constructed on sites with soil classification of
    
    or
    
    , as defined in AS 1170.4, and in a building subject to design earthquake actions.
  2. has a ratio of effective height to thickness that does not exceed 20 for singly reinforced walls (i.e. one layer of reinforcement) or 30 for doubly reinforced walls (i.e. two layers of reinforcement).

1. Properties

1.1 Materials



f'c
:40MPa​



Reinforcement's density
:7,850 kg / m^3​



1.2 Geometry



Lw
:4.00 m​



tw
:200 mm​



H
:3.00 m​





1.3 Reinforcement



2. Design Actions



N
:5 MN​



V
:2,000 kN​






3. Design Checks

3.1 Axial

3.1.1 Axial capacity
As per Clause 11.5.3, the design axial strength of a wall following the simplified method, is given by:

Nu=(tw−1.2e−2ea)0.6fc′LwN_u=(t_w-1.2e-2e_a)0.6f'_cL_w
Where:
  1. 
    
    : Ultimate axial strength
  2. 
    
    : Thickness of the wall
  3. 
    
    : Eccentricity of the load measured perpendicular to the plane of the wall, see further guidance below.
  4. 
    
    : Additional eccentricity.
  5. 
    
    

3.1.2 Eccentricity
As per Clause 11.5.4, the eccentricity of the vertical load applied to the top of a wall shall be determined as (with letter reference to the adjacent image):
  1. a) For a discontinuous floor above, eccentricity shall be one-third of the depth of the bearing area measured from the span face of the wall.
  2. b) For discontinuous floors above, eccentricity for each floor shall be calculated the same as a). This scenario is out of the scope of this calculator, since we only consider a single axial force.
  3. c) For a cast in-situ concrete floor above that is continuous over the wall, eccentricity shall be zero.
  4. d) Aggregated loads from floors above the floor at the top of the wall being designed, eccentricity shall be zero.
In cases where the eccentricity exists, it should not be taken as less than 0.05 times the wall thickness.







e
:25.0 mm​




emin
:10.0 mm​




Cl 11.5.4


ea
:18.0 mm​




Cl 11.5.3


Nu
:12,864 kN​



ΦNu
:8,362 kN​



Axial check
:ϕNu > N 🟢​




Cl 11.5.3



3.2 Slenderness

Braced walls are walls with floors above and below that provide lateral support at both ends. No intersecting walls are considered in this calculator, hence the wall is only subject to one-way buckling which is used in the determination of effective height.
As per clause 11.4:
  1. 
    
    where restraint against rotation is provided at both ends
  1. 
    
    where no restraint against rotation is provided at one or both ends
Clause 11.5.3, indicates for:
  1. singly reinforced walls, the effective height to thickness should not exceed 20
  2. for doubly reinforced walls, the effective height to thickness should not exceed 30


k
:1​




Cl 11.4


Hwe
:3.00 m​




Cl 11.4


Hw/tw
:15.00​



Slenderness check
:Hwe/tw ≤ 30 🟢​




Cl 11.5.3


3.3 Shear

3.3.1 Total shear strength
As per Clause 11.6.2, the shear strength of a wall is given by:

Vu=Vuc+VusV_u = V_{uc} + V_{us}
Where:
  1. 
    
    : ultimate shear strength
  1. 
    
    : ultimate shear strength excluding shear reinforcement
  1. 
    
    : contribution by shear reinforcement to the ultimate shear strength of a wall
  2. 
    
    : is the capacity reduction factor, taken as 0.75 as per Table 2.2.2

3.3.2 Minimum concrete shear strength
As per Clause 11.6.3, the minimum concrete shear strength is the ultimate shear strength excluding wall reinforcement and shall be taken not less than:

Vuc,min=0.17fc′(0.8Lwtw)V_{uc, min} = 0.17\sqrt{f'_c}(0.8L_wt_w)
Where:
  1. 
    
    : Minimum shear strength of the wall, excluding wall reinforcement.
  2. 
    
    : Characteristic compressive (cylinder) strength of concrete at 28 days.
  3. 
    
    : Overall length of the wall.
  4. 
    
    : Thickness of the wall.

3.3.3 Concrete shear strength
As per Clause 11.6.3, the ultimate shear strength of a wall excluding wall reinforcement shall be taken as follows:

Vuc={(0.66fc′−0.21HLwfc′)0.8Lwtwfor HLw≤1min⁡((0.66fc′−0.21HLwfc′)0.8Lwtw,(0.05fc′+0.1fc′(HLw−1))0.8Lwtw)for HLw>1V_{uc} = \begin{cases} (0.66 \sqrt{f'_c} - 0.21 \dfrac{H}{L_w} \sqrt{f'_c}) 0.8 L_w t_w & \text{for } \dfrac{H}{L_w} \leq 1 \\ \min \left( (0.66 \sqrt{f'_c} - 0.21 \dfrac{H}{L_w} \sqrt{f'_c}) 0.8 L_w t_w, \left( 0.05 \sqrt{f'_c} + \dfrac{0.1 \sqrt{f'_c}}{ \left( \dfrac{H}{L_w} - 1 \right)} \right) 0.8 L_w t_w \right) & \text{for } \dfrac{H}{L_w} > 1 \end{cases}
Where:
  1. 
    
    : Shear strength of the wall, excluding wall reinforcement.
  2. 
    
    : Characteristic compressive (cylinder) strength of concrete at 28 days.
  3. 
    
    : Overall length of the wall.
  4. 
    
    : Thickness of the wall.
  5. 
    
    : The overall height of a wall measured from the boundary at its base to the soffit or connection at its top, continuing through any intermediate slabs or walls.
The value of the shear strength of the concrete varies according to the shape relation

.

3.3.4 Shear strength provided by reinforcement
As per Clause 11.6.4, the contribution to shear strength by wall reinforcement is given by:

Vus=ρwfsy(0.8Lwtw)V_{us}=\rho_wf_{sy}(0.8L_wt_w)
Where:
  1. For
    
    ,
    
    is the lesser of the ratios of either the vertical reinforcement area or the horizontal reinforcement area to the cross-sectional area of wall in the respective direction.
  1. For
    
    ,
    
    is the ratio of the horizontal reinforcement area or the horizontal reinforcement area to the cross-sectional area of wall per vertical metre.
  1. 
    
    : Overall length of the wall.
  2. 
    
    : Thickness of the wall.



Vuc
:2,034.0 kN​



H/Lw
:0.75​




Cl 11.6.3


Vuc_min
:688.1 kN​




Cl 11.6.3


ρw
:0.0057​



Vus
:1,809.56 kN​






Cl 11.6.4


Vumax
:5,120.00 kN​




Cl 11.6.2


Vu
:3,843.5 kN​



ϕVu
:2,882.7 kN​



Shear check
:ϕVu > V 🟢​




Cl 11.6.2


Related Resources

  1. Concrete Shear Wall to AS3600
  2. Concrete Column Designer to AS3600
  3. Concrete Column P-M Diagram Calculator to ACI
  4. Column Buckling Calculator