Step NO. 01: Sizes

h = l/24 × (0.4+fy/100000) = 4″ (Minimum by ACI for end span

y h = l/28 × (0.4+fy/100000) = 3″ (Minimum by ACI for interior span)

End span governs. Finally take assumed h = 6″

Effective depth (d) = hf – 0.75 – (3/8)/2 = 5″ (for #3 main bar)

Step NO. 02: Loads

Step NO. 03: Analysis 

Bending moment diagram for slab

Step NO. 04: Design 

Calculate Moment Capacity Provided by Minimum Reinforcement in Slab:

Asmin = 0.002bhf = 0.002 × 12 × 6 = 0.144 in2/ft

ΦMn = ΦAsminfy (d-a/2) = 0.9 × 0.144 × 40 × (5-0.188/2) = 25.4 in-k/ft

Φ Mn calculated from Asmin is > all moments calculated in Step No 3.

Therefore As = Asmin = 0.144 in2/ft (#3 @ 9.166″ c/c)

This will work for both positive and negative steel as Asmin governs.

Main Reinforcement Spacing:

Maximum spacing for main steel reinforcement in one way slab according to ACI 7.6.5 is minimum of:

3hf = 3 × 6 =18″

18″ z Finally use, #3 @ 9″ c/c.

Shrinkage Steel or Temperature Steel (AST):

Ast = 0.002bhf Ast = 0.002 × 12 × 6 =0.144 in2/ft

Shrinkage reinforcement is the same as the main reinforcement, because:

Ast = Asmin = 0.144 in2

Maximum spacing for temperature steel reinforcement in one way slab according to ACI 7.12.2.2 is minimum of:

5hf =5 × 6 =30″ OR 18″ z Therefore 9″ spacing is O.K.

Step NO. 05: Drafting

Main reinforcement = #3 @ 9″ c/c (positive & negative)

Shrinkage reinforcement = #3 @ 9″ c/c

Supporting bars = #3 @ 18″ c/c

 

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