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Concrete Flat Slab Calculator to AS3600's banner

Concrete Flat Slab Calculator to AS3600

Verified by the CalcTree engineering team on August 30, 2024
This calculator performs the analysis and design of reinforced concrete two-way spanning slabs supported by columns, i.e. a flat slab. Design actions are calculated using simplified elastic analysis. Flexural capacity and deflection are then checked.
All calculations are performed in accordance with AS3600-2018.

Calculation

Technical assumptions

Slab Properties

RC slab cross-section

Geometry:


B
:1.00 m​



D
:225 mm​



Ly
:5.00 m​



Lx
:4.00 m​



Ly / Lx
:1.25​



Slab_type
:Two-way​


One- or two-way slab


Concrete Properties:


fc
:32MPa​



Ec
:30,100​



Density_c
:25 kN / m^3​

Reinforcement Properties:


fsy
:500 MPa​



Es
:200 GPa​


Reinf in tension zone:


db_st
:16mm​



s_st
:200 mm​



c_st
:25 mm​



d_st
:192 mm​



Ast
:1,005 mm^2​

Reinf in compression zone:


db_sc
:10mm​



s_sc
:200 mm​



c_sc
:25 mm​



d_sc
:30 mm​



Asc
:393 mm^2​



Loads

Slab Analysis

For two-way slabs supported by columns, as per Clause 6.10.4.

Mo=FdLtLo28M_o= \dfrac{F_dL_tL_o^2}{8}



Mo, interior x
:103.5 kN m​



Mo, interior y
:129.4 kN m​



Mo, edge y
:64.7 kN m​



Mo, edge x
:51.8 kN m​



4x unique per flat slab system


Mcritical section∗={+Mmid span∗,−Minterior or exterior edge∗}=factor×MoM^*_\text{critical section}= \{+M^*_\text{mid span},-M^*_\text{interior or exterior edge}\} =\text{factor}\times M_o

Factor is given in Tables 6.10.4.3(A) & (B)



Exterior_edge_restraint
:Restrained by spandrel beams and columns​



Mcolumn strip∗=column strip moment factor×Mcritical section∗Mmiddle strip∗=(1−column strip moment factor)×Mcritical section∗M^*_\text{column strip}=\text{column strip moment factor}\times M^*_\text{critical section} \\ M^*_\text{middle strip}=(1-\text{column strip moment factor})\times M^*_\text{critical section}


Column strip moment factor is given in Table 6.9.5.3



Neg_moment_at_interior_support
:0.6​



Pos_moment_at_all_spans
:0.6​



Neg_moment_at_exterior_support
:0.75​

Flat slab analysis in the direction of the longer span

M_results_Ly 
Design Strip Width
Span Type
Location
Column or Middle Strip
M* (kNm)
Interior Design Strip
End Span
Exterior Edge
Column Strip
-91.8
Interior Design Strip
End Span
Exterior Edge
Half Middle Strip
-15.3
Interior Design Strip
End Span
Interior Edge
Column Strip
-171.3
Interior Design Strip
End Span
Interior Edge
Half Middle Strip
-57.1
Interior Design Strip
End Span
Mid Span
Column Strip
102.0
Interior Design Strip
End Span
Mid Span
Half Middle Strip
51.0
Interior Design Strip
Interior Span
Interior Edge
Column Strip
-159.1
Interior Design Strip
Interior Span
Interior Edge
Half Middle Strip
-106.1
Interior Design Strip
Interior Span
Mid Span
Column Strip
71.4
Interior Design Strip
Interior Span
Mid Span
Half Middle Strip
35.7
Edge Design Strip
End Span
Exterior Edge
Column Strip
-45.9
Edge Design Strip
End Span
Exterior Edge
Half Middle Strip
-7.6
Edge Design Strip
End Span
Interior Edge
Column Strip
-85.7
Edge Design Strip
End Span
Interior Edge
Half Middle Strip
-28.6
Edge Design Strip
End Span
Mid Span
Column Strip
51.0
Edge Design Strip
End Span
Mid Span
Half Middle Strip
25.5
Edge Design Strip
Interior Span
Interior Edge
Column Strip
-79.5
Edge Design Strip
Interior Span
Interior Edge
Half Middle Strip
-53.0
Edge Design Strip
Interior Span
Mid Span
Column Strip
35.7
Edge Design Strip
Interior Span
Mid Span
Half Middle Strip
17.8
Flat slab analysis in the direction of the shorter span

M_results_Lx 
Design Strip Width
Span Type
Location
Column or Middle Strip
M* (kNm)
Interior Design Strip
End Span
Exterior Edge
Column Strip
-78.7
Interior Design Strip
End Span
Exterior Edge
Half Middle Strip
-13.1
Interior Design Strip
End Span
Interior Edge
Column Strip
-146.9
Interior Design Strip
End Span
Interior Edge
Half Middle Strip
-49.0
Interior Design Strip
End Span
Mid Span
Column Strip
104.9
Interior Design Strip
End Span
Mid Span
Half Middle Strip
35.0
Interior Design Strip
Interior Span
Interior Edge
Column Strip
-136.4
Interior Design Strip
Interior Span
Interior Edge
Half Middle Strip
-90.9
Interior Design Strip
Interior Span
Mid Span
Column Strip
-136.4
Interior Design Strip
Interior Span
Mid Span
Half Middle Strip
-45.5
Edge Design Strip
End Span
Exterior Edge
Column Strip
-39.3
Edge Design Strip
End Span
Exterior Edge
Half Middle Strip
-6.6
Edge Design Strip
End Span
Interior Edge
Column Strip
-73.4
Edge Design Strip
End Span
Interior Edge
Half Middle Strip
-24.5
Edge Design Strip
End Span
Mid Span
Column Strip
52.4
Edge Design Strip
End Span
Mid Span
Half Middle Strip
17.5
Edge Design Strip
Interior Span
Interior Edge
Column Strip
-68.2
Edge Design Strip
Interior Span
Interior Edge
Half Middle Strip
-45.5
Edge Design Strip
Interior Span
Mid Span
Column Strip
-68.2
Edge Design Strip
Interior Span
Mid Span
Half Middle Strip
-22.7

❗Ensure these conditions have been met



Flexural (ULS) Design Check



phi
:0.85​


Capacity reduction factor



ku
:0.11​



Check ku
:< 0.36 ✅​


Ductility check



Ast,min
:430 mm^2​



Check Ast
:> Ast,min ✅​


Minimum reinforcement check



α2
:0.80​



γ
:0.89​



Mu
:77.8 kN m​



+M*_max
:38.8 kN m​



-M*_max
:-54.3 kN m​


Moment capacity check



Check +M*
:= 39kNm ≤ Mu = 78kNm, OK ✅​



Check -M*
:= 54kNm ≤ Mu = 78kNm, OK ✅​


Note



Deflection (SLS) Check



Slab type
:Ly/Lx = 1.25 ∴ Two-way slab supported by Columns​


Span_type
:Simply supported​



Drop_panels
:Yes​



k3
:1.05​



k4
:1.40​



Lef / d
:26​


Simplified approach

For total deflection:


Deflection_limit_total
:1/250​



(Lef / d)_limit
:29​



Check
:Lef/d ≤ limit ✅​



Min D
:205 mm​

For incremental deflection:


Deflection_limit_incr
:1/500​



(Lef / d)_limit (1)
:27​



Check (1)
:Lef/d ≤ limit ✅​



Min D (1)
:217 mm​


❗Ensure these conditions have been met