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Dezi et. al (2010)
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Projectile motion
This calculator computes the shear capacity of a suspended flat slab at a concentrated load. This situation is often referred to as 'Punching Shear'.
All calculations are performed in accordance with AS 3600:2018.
Calculation
Refer to the diagrams in the toggle below to illustrate the parameters used in this calculator.
Punching shear diagrams in AS3600 Section 9.3
Inputs
Open each toggle block below to input required values.
Slab Properties
Input value
Parameter description
f'c
:50MPaCharacteristic concrete strength
Ds
:250.00mmOverall depth of slab
c
:40mmCover to bottom reinforcement
db
:20mmBar diameter of bottom layer reinforcement
fcv
:1.9233304448274107MPaConcrete shear strength
dom
:200mmMean value of
, averaged around the critical shear perimeter.
is the effective depth of the concrete section. This calculator assumes that the concrete slab/beam depth is the same on all sides surrounding the concentrated load.
u
:2000mmLength of the critical shear perimeter
Manual input of 'u' value?
:Yes
u (auto)
:2000mm
u (manual)
:2000mm
is automatically calculated in specific cases only where the arrangement of load shapes and critical penetrations are simple. Select 'Yes' for manual input of
if you only want to use
parameter. If you select 'No' then the calculator will determine if
can be used.
a
:1200mmRefer Figure 9.3(B), dimension of the critical shear perimeter measured parallel to the direction of
.
Design selections
All of these design selections will affect the final shear capacity.
M*v is zero
:Yes
Dimension parallel to M*v
:Y
Shear head/drop panel provided
:No
TS or SB
:TS💡Note
Shear reinf in slab?
:No💡Note
Load near a slab edge?
:C💡Note
If chosen 'E' above, which dimension of load is parallel to slab edge?
:X
Load shape rectangular?
:Yes💡Note
Column Details
Refer to Figure 9.3(A).
X
:300mm
Y
:1000mmDimensions of concentrated load i.e. the column.
Ultimate Design Loads
V*
:50kNUltimate design shear load at the location under consideration
M*v
:10kN mUltimate design bending moment transferred from the slab to the support in the direction being considered
The following inputs are optional if they apply to the slab design being considered. If they are not applicable, they can be left as is or set to zero.
Critical Penetration Details (if applicable)
The opening may be considered a critical penetration, depending on the opening's distance from the concentrated load and size of the opening.
bo
:200mmDimension of an opening. Refer to Figure 9.3(A).
l1
:360mm
Distance of opening from the concentrated load being considered
2.5 bo
:500mmCritical distance for an opening to be considered a critical opening
l1 - dom/2
:260mmCheck if opening is within critical distance.
Critical
:YesIf yes, the opening is considered critical and will affect calculation of 'u'. If there is a critical penetration, please provide a manual value for 'u'.
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Spandrel Beam Details (if applicable)
Refer to Figure 9.3.6.
Db
:450mmDepth of beam
bw
:300mmEffective width of beam
x
:300mm
y
:500mmRequired for calculation of
. Lowercase
and
are the shorter and longer dimensions respectively of the cross-section of the torsion strip or spandrel beam.
Fitment/Shear Reinforcement Details (if applicable)
fsy.f
:500MPaYield strength of reinforcement
db (fit)
:20mmDiameter of reinforcement bar used as a fitment
Asw
:314mmArea of fitment reinforcement bar
s
:240mm
Spacing of fitments
shall not exceed the lesser of 300mm and
or
, as applicable
y1
:200mmRefer to Figure 9.3.6
Effective Prestress Details (if applicable)
σcp
:0MPaIf prestress is present, provide the effective stress at the location being considered. Otherwise input
Outputs
The critical shear perimeter and shear capacity is provided for every type of situation, regardless of the user input, see toggles below.
Calculated Values
Calculations for
based on load position relative to slab edges (for rectangular or square load shapes only).
u (I)
:3400mmCritical shear perimeter for an internal load with no critical slab penetrations or edges
u (E-X)
:2900mm
Critical shear perimeter where the slab edge is parallel to the 'X' dimension of the load
u (E-Y)
:2200mm
Critical shear perimeter where the slab edge is parallel to the 'Y' dimension of the load
u (C)
:1700mm
Critical shear perimeter for a load near the corner of a slab
u final
:1700mm
Final critical shear perimeter based on user's Design Selections
Slab Shear Capacity when is zero
refers to the unfactored shear strength.
Vuo
:769.332177930964kNEq 9.3.3(1) No shear head
Vuo (SH)
:1414.2135623731kNEq 9.3.3(2) With shear head (SH)
Slab Shear Capacity when is not zero
refers to the unfactored shear strength. TS is Torsion Strip and SB is Spandrel Beam.
Vu (1)
:769.1719337780961kNEq 9.3.4(1) No closed fitments
Vu.min (TS)
:923.070409293643kNEq 9.3.4(2) TS with min closed fitments
Vu.min (SB)
:1660.8348183206945kNEq 9.3.4(3) SB with min closed fitments
Vu (TS)
:3732.9230607056948kNEq 9.3.4(4) TS with more than min closed fitments
Vu (SB)
:6716.463371495656kNEq 9.3.4(4) SB with more than min closed fitments
Vu.max
:NAkNEq 9.3.4(5) Max shear capacity in all cases
The shear capacity relevant to your slab design is provided in the toggle below.
Slab Shear Capacity (Punching Shear Capacity),
∅
:0.75Capacity reduction factor, refer to Table 2.2.2 in AS3600:2018
Vu
:769.332177930964kNUnfactored final shear capacity
∅Vu
:576.999133448223kNFactored final shear capacity
Utilisation
:0.08665524279246903
PASS/FAIL
:PASS
Explanation
What is punching shear?
Punching shear is a failure mechanism in structural members like slabs and foundations by shear under the action of concentrated loads, such as columns.
In analysis we are only concerned about the load that is transferred to the column at the slab level in consideration. That is, do not include the axial forces in the column above this level.
How do I design for punching shear?
Punching shear capacity of a slab is dependent on the assumed failure length, also known as the "critical shear perimeter" or "punching shear surface". This is the perimeter of a shape formed by outlining the loaded area with a clear gap of
, refer Figure 4.16 of AS3600.
The calculation method adopted for punching shear design depends on whether any moment,
is being transferred from the slab to the support in the direction being considered. This calculator considers situations where
is zero and non-zero.The applicable sections of AS3600 are Section 9 (Design of slabs for strength and serviceability) and Section 9.3 (Strength of Slabs in Shear). See the toggles below for the code formulas used in this calculator.
AS 3600 formulas for when M*v is zero
AS 3600 formulas for when M*v is not zero
Acknowledgements
This calculation was built in collaboration with Brooke Reynolds. Learn more.
Related Resources
- Concrete Slab-on-Grade Designer to AS3600
- Concrete Beam Design Calculator to AS3600
- Concrete Column Design Calculator to AS 3600
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