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8) Load Transfer from Slabs to Beams

Lecture 8

Load Transfer from Slabs to Beams



One-way slab 




Two-way slab

Two types of load distribution to beams


Isolated One Way Slab


Continuous One Way Slab

Continuous One Way Slab


Continuous One Way Slab


Isolated Two Way Slab


Continuous Two Way Slab



One-way slab


Two-way slab

Two types of load distribution to beams





Load Carried by the Beam

Beam Supporting One-way Slab(ly/lx > 2)

Interior Beam                                                 Exterior Beam


Width of slab supported by interior beam = lx

Width of slab supported by exterior beam = lx/2 + Cantilever width

Load Carried by the Beam

Beam Supporting Two-way Slab (ly/lx≤ 2)

Exterior Long Beam


Interior Short Beam

Beam Supporting Two-way Slab (ly/lx≤2) contd…

Interior Shorter Beams

For simplification this triangular load on both the sides is to be replaced by equivalent UDL, which gives same Mmax as for the actual triangular load.


Beam Supporting Two-way Slab (ly/lx≤2) contd…




Beam Supporting Two-way Slab (ly/lx≤ 2)contd…

Exterior Long Beam lx/2





Beam Supporting Two-way Slab (ly/lx≤ 2)contd…

Exterior Long Beam


  • Factor F converts trapezoidal load into equivalent UDL for maximum B.M. at center of simply supported beam.

For Square panel R = 1 and F = 4/3

Beam Supporting Two way Slab (ly/lx≤2)contd…

Exterior Long Beam




Beam Supporting Two-way Slab (ly/lx≤2) contd…





Wall Load (if present) on Beam

UDL on beam




Wall Load on the Lintel

Equivalent UDL on lintel if height of slab above lintel is greater than 0.866L

 kN/m

tw= wall thickness in “mm”

L = Opening size in “m”

If the height of slab above lintel is less than 0.866L

Total Wall Load + Load from slab in case of load bearing wall

UDL = (Equivalent width of slab supported) x (Slab load per unit area)

= m x kN/m= kN/m

Slab Load per Unit Area

Top Roof

Slab Thickness = 125 mm

Earth Filling Brick Tiles

= 100 mm

= 38 mm


Slab Load per Unit Area (contd…)

Top Roof

Live Load

WL = 200 kg/m2

Total Factored Load, Wu


Slab Load per Unit Area (contd…)

Intermediate Floor

Slab Thickness = 150 mm

Screed (brick ballast + 25% sand) = 75 mm

P.C.C. = 40 mm

Terrazzo Floor = 20 mm


Slab Load per Unit Area (contd…)

Intermediate Floor

Live Load

Occupancy Live Load = 250 kg/m2

 Moveable Partition Load = 150 kg/m2

WL = 250 + 150 = 400 kg/m2


Slab Load per Unit Area (contd…)

Service Self Wight of Beam = b x h x 1m x 2400

Self Weight of Beam




Self weight of beam is required to be calculated in at the stage of analysis, when the beam sizes are not yet decided, so approximate self weight is computed using above formula.

Concluded

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