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Design of Slab (Moment)

This document summarizes the calculation of moments for multiple slabs and beams. It calculates dead loads, live loads, and distributes total static moments into negative and positive values. It then distributes these moments to individual beam and column strips based on percentage values from tables. Moments are calculated for long span and short span directions.

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wtfisf
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0% found this document useful (0 votes)
108 views21 pages

Design of Slab (Moment)

This document summarizes the calculation of moments for multiple slabs and beams. It calculates dead loads, live loads, and distributes total static moments into negative and positive values. It then distributes these moments to individual beam and column strips based on percentage values from tables. Moments are calculated for long span and short span directions.

Uploaded by

wtfisf
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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FOR THE COLUMN and MIDDLE

STRIP MOMENT

Positive factored moment


=0.35(116835.66) = +40892.48 N-m
Distribute these moments to beam and
column strips:

SLAB 1 (two way slab)


Dead Loads:

(Exterior beam)

Weight of slab
(

=
Floor finishes
Ceilings
Movable partitions

( )

= 0.77 kPa
= 0.72 kPa
= 1.00 kPa
DL = 6.02 kPa

*(

)(

Live Load:
Offices = 2.4 kPa

Moment for the long span direction


centered on the exterior beam:
(

)(

)+

C= 3845812500 mm4
Then,
(

)
(

Percentage of exterior negative moment,


from table 4, by interpolation:

)( )

)( )

)(

X = 83.4%

INTERIOR SPAN

Column strip = 0.834(-75943.18)


= -6336.61 N-m
Beam = 0.85(-6336.61)
= -53836.12 N-m
Slab = 0.15(-6336.61)
=- 9500.49 N-m

Negative factored moment


=0.65(116835.66) = -75943.18 N-m

Middle strip = -(75943.18-63336.61)


= -12606.57 N-m

Mo = 116835.66 N-m
Distribute static moment into negative and
positive value:

Percentage of positive Exterior Moment:


X = 83.4%

Percentage of exterior negative moment,


from table 3, by interpolation:

Column strip = 0.834(+40892.48)


= +34104.33 N-m
Beam = 0.85(+34104.33)
= +28988.68 N-m
Slab = 0.15(+34104.33)
= +5115.65 N-m
Middle strip = +(40892.48-34104.33)
= +6788.15 N-m
Moment for the long span direction
centered in the interior column line:

X = 83.4%
Column strip = 0.834(-141980.73)
= -118411.93 N-m
Beam = 0.85(-118411.93)
= -100650.14 N-m
Slab = 0.15(-118411.93)
=- 17761.79 N-m
Middle strip = -(141980.73-118411.93)
= -23568.8 N-m
Percentage of positive moment, from table
5, by interpolation:
X = 83.4%

Column strip = 0.834(+76451.16)


= +63760.27 N-m
Beam = 0.85(+76451.16)
= +54196.23 N-m
Slab = 0.15(+76451.16)
= +9564.04 N-m

)( )

)( )

)(

Middle strip = +(76451.16-63760.27)


= +12690.89 N-m
Moment for the short span direction:

Mo = 218431.89 N-m
Distribute static moment into negative and
positive value:
INTERIOR SPAN
Negative factored moment
=0.65(218431.89) = -141980.73N-m
Positive factored moment
=0.35(218431.89) = +76451.16 N-m
Distribute these moments to beam and
column strips:

(6m interior span beam)


( )

)( )

Mo = 150096 N-m

)( )

Distribute static moment into negative and


positive value:
END SPAN
Interior negative factored moment
=0.70(150096) = -105067.2 N-m
Positive factored moment
=0.57(150096) = +85554.72 N-m
Exterior negative factored moment
=0.16(150096) = -24015.36 N-m

Column strip = 0.6315(-24015.36)


= -15165.7 N-m
Beam = 0.85(-15165.7)
= -12890.845 N-m
Slab = 0.15(-15165.7)
=-8849.66 N-m
Middle strip = -(24015.36-15165.7)
= -8849.66 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

Distribute these moments to beam and


column strips:

(4.3m interior span beam)


X = 63.15%
(4.3m interior span beam)
( )
( )

)
(

> 1.0
)

> 1.0

Percentage of interior negative moment,


from table 3, by interpolation:

X = 63.15%
Column strip = 0.6315(-105067.2)
= -66349.94 N-m
Beam = 0.85(-105067.2)
= -56397.45 N-m
Slab = 0.15(-105067.2)
=-9952.49 N-m
Middle strip = -(105067.2-66349.94)
= -38717.26 N-m
Percentage of exterior negative moment,
from table 4, by interpolation:

X = 63.15%

Column strip = 0.6315(+85554.72)


= +54027.81 N-m
Beam = 0.85(+54027.81)
= +45923.64 N-m
Slab = 0.15(+54027.81)
= +8104.17 N-m
Middle strip = +(85554.72-54027.81)
= +31526.91 N-m

SLAB 2 (two way slab)

Percentage of interior negative factored


moment, from table 3, by interpolation:

Dead load: DL = 6.02 kPa


Live Load: LL = 3.8 kPa

)
X = 83.4%

Moment for the long span directioN:

Column strip = 0.834(-168996.57)


= -140943.14 N-m
Beam = 0.85(-140943.14)
= -119801.67 N-m
Slab = 0.15(-140943.14)
=- 21141.47 N-m
Middle strip = -(168996.57 -140943.14)
= -28053.43 N-m
Percentage of positive factored moment,
from table5, by interpolation:

X = 83.4%

)( )

)(

Column strip = 0.834(+90998.16)


= +75892.47 N-m
Beam = 0.85(+75892.47)
= +64508.60 N-m
Slab = 0.15(+75892.47)
= +11383.87 N-m

Mo = 259994.73 N-m
Distribute static moment into negative and
positive value:
INTERIOR SPAN
Negative factored moment
=0.65(259994.73) = -168996.57 N-m
Positive factored moment
=0.35(259994.73) = +90998.16 N-m
Distribute these moments to beam and
column strips:

(6m interior beam)


( )

Middle strip = +(90998.16-75892.47)


= +15015.69 N-m

Moment for the short span direction:

= -62333.75 N-m
Slab = 0.15(-73333.82)
= -11000.07 N-m
Middle strip = -(116126.4-73333.82)
= -42972.58 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%
Column strip = 0.6315(+62529.6)
= +39487.44 N-m
Beam = 0.85(+39487.44)
= +33564.32 N-m
Slab = 0.15(+39487.44)
= +5923.12 N-m
Middle strip = +(62529.6-39487.44)
= +23042.16 N-m
(

)( )

)( )

Mo = 178656 N-m
Distribute static moment into negative and
positive value:
INTERIOR SPAN
Negative factored moment
=0.65(178656)= -116126.4 N-m
Positive factored moment
=0.35(178656)= +62529.6 N-m
Distributed these moments to beam and
column strips:

(4.3m interior span beam)


( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%
Column strip = 0.6315(-116126.4)
= -73333.82 N-m
Beam = 0.85(-73333.82)

SLAB 3 (two way slab)


Dead load: DL = 6.02 kPa
X = 83.4%

Live Load: LL = 2.4 kPa

Moment for the long span direction:

Column strip = 0.834(-141980.73)


= -118411.93 N-m
Beam = 0.85(-118411.93)
= -100650.14 N-m
Slab = 0.15(-118411.93)
= -17761.79 N-m
Middle strip = -(141980.73 -118411.93)
= -23568.8 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 83.4%

Column strip = 0.834(+76451.16)


= +63760.27 N-m
Beam = 0.85(+63760.27)
= +54196.23 N-m
Slab = 0.15(+63760.27)
= +9564.04 N-m

)( )

)(

Mo = 218431.89 N-m

Middle strip = +(76451.16-63760.27)


= +12690.89 N-m
Moment for the short span direction:

Distribute static moment into negative and


positive value:
INTERIOR SPAN
Negative factored moment
=0.65(218431.89) = -141980.73 N-m
Positive factored moment
=0.35(218431.89) = +76451.16 N-m
Distribute these moments to beam and
column strips:

(6m interior beam)


( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

)( )

Mo = 150096 N-m

)( )

Distribute static moment into negative and


positive value:
INTERIOR SPAN
Negative factored moment
=0.65(150096)= -97562.4 N-m
Positive factored moment
=0.35(150096)= +52533.6 N-m
Distribute these moments to beam and
column strips:

(4.3 m interior span beam)


( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%
Column strip = 0.6315(-97562.4)
= -61610.66 N-m
Beam = 0.85(-61610.66)
= -52369.06 N-m
Slab = 0.15(-61610.66)
= -9241.6 N-m
Middle strip = -(97562.4 -61610.66)
= -35951.74 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%
Column strip = 0.6315(+52533.6)
= +33174.97 N-m
Beam = 0.85(+33174.97)
= +28198.72 N-m
Slab = 0.15(+33174.97)
= +4976.25 N-m
Middle strip = +(52533.6-33174.97)
= +19538.63 N-m

SLAB 4 (two way slab)


Dead load: DL = 6.02 kPa
Live Load: LL = 2.4 kPa

*(

Moment for the long span direction:

)(

)(

)+

C= 3086437500 mm4
Then,
(

Percentage of interior negative factored


moment, from table 3, by interpolation:
(

)( )

)(

Mo = 218431.89 N-m
Distribute static moment into negative and
positive value:
END SPAN
Interior negative factored moment
=0.70(218431.89) = -152902.32 N-m
Positive factored moment
=0.57(218431.89) = +124506.18 N-m
Exterior negative factored moment
=0.16(218431.89) = -34949.10 N-m
Distribute these moments to beam and
column strips:

( )

X = 83.4%
Column strip = 0.834(-152902.32)
= -127520.53 N-m
Beam = 0.85(-127520.53)
= -108392.45 N-m
Slab = 0.15(-127520.53)
=- 19128.08 N-m
Middle strip = -(152902.32 -127520.53)
= -25381.79 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 83.4%
Column strip = 0.834(+124506.18)
= +103838.15 N-m
Beam = 0.85(+103838.15)
= +88262.43 N-m
Slab = 0.15(+15575.72)
= +15575.72 N-m
Middle strip = +(124506.18-103838.15)
= +20668.03 N-m

Percentage of exterior negative factored


moment from table 4, by interpolation:

Distribute static moment into negative and


positive value:
INTERIOR SPAN
Negative factored moment
=0.65(150096)= -97562.4 N-m
Positive factored moment
=0.35(150096)= +52533.6 N-m
Distribute these moments to beam and
column strips:

X = 83.4%

(4.3m interior beam)


( )
X2 = 91.5%
Column strip = 0.915(-34949.10)
= -31978.43 N-m
Beam = 0.85(-31978.43)
= -27181.67 N-m
Slab = 0.15(-31978.43)
= -4796.76 N-m
Middle strip = -(34949.10-31978.43)
= -2970.67 N-m
Moment for the short span direction
centered in the interior column line:

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%
Column strip = 0.6315(-97562.4)
= -61610.66 N-m
Beam = 0.85(-61610.66)
= -52369.06 N-m
Slab = 0.15(-61610.66)
= -9241.6 N-m
Middle strip = -(97562.4-61610.66)
= -35951.74 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%
Column strip = 0.6315(+52533.6)
= +23174.97 N-m
Beam = 0.85(+23174.97)
= +28198.72 N-m
Slab = 0.15(+23174.97)
= +4976.25 N-m

)( )

Mo = 150096 N-m

)( )

Middle strip = +(52533.6-23174.97)


= +19358.63 N-m

Moment for the short span direction


centered on the exterior beam:

X = 63.15%

X2 = 81.13%
Column strip = 0.8113(-51220.26)
= -41554.997 N-m
Beam = 0.85(-41554.997)
= -35321.75 N-m
Slab = 0.15(-41554.997)
= -6233.25 N-m
Middle strip = -(51220.26-41554.997)
= -9665.26 N-m
Percentage of positive factored moment,
from table 5, by interpolation:
(

)( )

)( )

Mo = 78800.4 N-m

x = 63.15%

Distribute static moment into negative and


positive value:

Column strip = 0.6315(+27580.14)


= +17416.86 N-m
Beam = 0.85(+17416.86)
= +14804.33 N-m
Slab = 0.15(+17416.86)
= +2612.53 N-m

INTERIOR SPAN
Negative factored moment
=0.65(78800.4)= -51220.26 N-m
Positive factored moment
=0.35(78800.4)= +27580.14 N-m
Distribute these moments to beam and
column strips:

(4.3m interior beam)


( )

Percentage of exterior negative factored


moment, from table 4, by interpolation:

Middle strip = +(27580.14-17416.86)


= +10163.28 N-m

SLAB 5 (two way slab)

Percentage of interior negative factored


moment, from table 3, by interpolation:

Dead load: DL = 6.02kPa


Live Load: LL = 3.8 kPa

)
X = 83.4%

Moment for the long span direction:

Column strip = 0.834(-181996.31)


= -151784.92 N-m
Beam = 0.85(-151784.92)
= -129017.18 N-m
Slab = 0.15(-151784.92)
=- 22767.74 N-m
Middle strip = -(181996.31 -151784.92)
= -30211.39 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

)
X = 83.4%

)( )

)(

Mo = 259994.73 N-m
Distribute static moment into negative and
positive value:

Column strip = 0.834(+148196.996)


= +123596.29 N-m
Beam = 0.85(+123596.29)
= +105056.85 N-m
Slab = 0.15(+123596.29)
= +18539.44 N-m
Middle strip = +(148197.0-123596.29)
= +24600 N-m
Percentage of exterior negative factored
moment from table 4, by interpolation:

END SPAN
Interior negative factored moment
=0.70(259994.73) = -181996.31 N-m
Positive factored moment
=0.57(259994.73) = +148196.996 N-m
Exterior negative factored moment
=0.16(259994.73) = -41599.16 N-m
Distribute these moments to beam and
column strips:

( )

X = 83.4%

)
X2 = 91.5%

Column strip = 0.915(-41599.16)


= -38063.23 N-m
Beam = 0.85(-38063.23)
= -32353.75 N-m
Slab = 0.15(-38063.23)
= -5709.48 N-m

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%
Middle strip = -(41599.16 -38063.23)
= -3535.93 N-m
Moment for the short span direction
centered in the interior column line:

Column strip = 0.6315(-116126.4)


= -73333.82 N-m
Beam = 0.85(-73333.82)
= -62333.75 N-m
Slab = 0.15(-73333.82)
= -11000.07 N-m
Middle strip = -(116126.4-73333.82)
= -42792.58 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%
Column strip = 0.6315(+62529.6)
= +39487.44 N-m
Beam = 0.85(+39487.44)
= +33564.32 N-m
Slab = 0.15(+39487.44)
= +5923.12 N-m
(

)( )

)( )

Middle strip = +(62529.6 -39487.44)


= +23042.16 N-m

Mo = 178656 N-m
Distribute static moment into negative and
positive value:
INTERIOR SPAN
Negative factored moment
=0.65(178656)= -116126.4 N-m
Positive factored moment
=0.35(178656)= +62529.6 N-m
Distribute these moments to beam and
column strips:

(4.3m interior beam)


( )

Moment for the short span direction


centered on the exterior beam:

X = 63.15%

X2 = 81.13%
Column strip = 0.8113(-60966.36)
= -49462.01 N-m
Beam = 0.85(-49462.01)
= -42042.71 N-m
Slab = 0.15(-49462.01)
= -7419.30 N-m
Middle strip = -(60966.36 -49462.01)
= -11504.35 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

)( )

)( )

Mo =93794.4 N-m

x = 63.15%

Distribute static moment into negative and


positive value:

Column strip = 0.6315(+32828.04)


= +20730.91 N-m
Beam = 0.85(+20730.91)
= +17621.27 N-m
Slab = 0.15(+20730.91)
= +3109.64 N-m

INTERIOR SPAN
Negative factored moment
=0.65(93794.4)= -60966.36 N-m
Positive factored moment
=0.35(93794.4)= +32828.04 N-m
Distribute these moments to beam and
column strips:

(4.3m interior beam)


( )

Percentage of exterior negative factored


moment, from table 4, by interpolation:

Middle strip = +(32828.04-20730.91)


= +12097.13 N-m

SLAB 6 (two way slab)


Dead load: DL = 6.02 kPa

Percentage of interior negative factored


moment, from table 3, by interpolation:

Live Load: LL = 2.4 kPa

Moment for the long span direction


centred on the exterior beam:

X = 83.4%
Column strip = 0.834(-81784.96)
= -68208.66 N-m
Beam = 0.85(-68208.66)
= -57977.36 N-m
Slab = 0.15(-68208.66)
=- 10231.30 N-m
Middle strip = -(81784.96-68208.66)
= -13576.3 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

)
X = 83.4%

)( )

)(

Mo = 116835.66 N-m
Distribute static moment into negative and
positive value:

Middle strip = +(66596.33-55541.34)


= +11054.99 N-m
Percentage of exterior negative factored
moment from table 4, by interpolation:

END SPAN
Interior negative factored moment
=0.70(116835.66) = -81784.96 N-m
Positive factored moment
=0.57(116835.66) = +66596.33 N-m
Exterior negative factored moment
=0.16(116835.66) = -18693.71 N-m
Distribute these moments to beam and
column strips:

( )

Column strip = 0.834(+66596.33)


= +55541.34 N-m
Beam = 0.85(+55541.34)
= +47210.14 N-m
Slab = 0.15(+55541.34)
= +8331.2 N-m

X = 83.4%
Column strip = 0.834(-18693.71)
= -15590.55 N-m
Beam = 0.85(-15590.55)
= -13251.97 N-m
Slab = 0.15(-15590.55)
= -2338.58 N-m
Middle strip = -(18693.71-15590.55)
= -3103.16 N-m

Moment for the long span direction


centred on the interior beam:
X = 83.4%
Column strip = 0.834(-152902.32)
= -127520.53 N-m
Beam = 0.85(-127520.53)
= -108392.45 N-m
Slab = 0.15(-127520.53)
=- 19128.08 N-m
Middle strip = -(152902.32-127520.53)
= -25381.79 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

)
X = 83.4%

)( )

)(

Mo = 218431.89 N-m
Distribute static moment into negative and
positive value:

Middle strip = +(124506.18-103838.15)


= +20668.03 N-m
Percentage of exterior negative factored
moment from table 4, by interpolation:

END SPAN
Interior negative factored moment
=0.70(218431.89) = -152902.32 N-m
Positive factored moment
=0.57(218431.89) = +124506.18 N-m
Exterior negative factored moment
=0.16(218431.89) = -34949.10 N-m
Distribute these moments to beam and
column strips:

( )

Column strip = 0.834(+124506.18)


= +103838.15 N-m
Beam = 0.85(+103838.15)
= +88262.43 N-m
Slab = 0.15(+103838.15)
= +15575.72 N-m

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 83.4%
Column strip = 0.834(-34949.10)
= -29147.55 N-m
Beam = 0.85(-29147.55)
= -24775.42 N-m
Slab = 0.15(-29147.55)
= -4372.13 N-m
Middle strip = -(34949.10-29147.55)
= -5801.55 N-m

Moment for the short span direction


centered on the exterior beam line:

Column strip = 0.6315(-55160.28)


= -34833.72 N-m
Beam = 0.85(-34833.72)
= -29608.66 N-m
Slab = 0.15(-34833.72)
= -5225.06 N-m
Middle strip = -(55160.28-34833.72)
= -20326.56 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%

)( )

)( )

Column strip = 0.6315(+44916.23)


= +28364.6 N-m
Beam = 0.85(+28364.6)
= +24109.91 N-m
Slab = 0.15(+28364.6)
= +4254.69 N-m

Mo = 78800.4 N-m

Middle strip = +(44916.23-28364.6)


= +16551.63 N-m

Distribute static moment into negative and


positive value:

Percentage of exterior negative factored


moment, from table 4, by interpolation:

END SPAN

x= 81.13%

Interior negative factored moment


=0.70(78800.4) = -55160.28 N-m
Positive factored moment
=0.57(78800.4) = +44916.23 N-m
Exterior negative factored moment
=0.16(78800.4) = -12608.06 N-m

Column strip = 0.8113(-12608.06)


= -10228.92 N-m
Beam = 0.85(-10228.92)
= -8694.58 N-m
Slab = 0.15(-10228.92)
= -1534.34 N-m

Distribute these moments to beam and


column strips:

Middle strip =- (12608.06-10228.92)


= -2379.14 N-m

( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%

Moment for the short span direction:

Column strip = 0.6315(-105067.2)


= -66349.94 N-m
Beam = 0.85(-66349.94)
= -56397.45 N-m
Slab = 0.15(-66349.94)
= -9952.49 N-m
Middle strip = -(105067.2-66349.94)
= -38717.26 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

x = 63.15%

)( )

)( )

Column strip = 0.6315(+85554.72)


= +54027.81 N-m
Beam = 0.85(+54027.81)
= +45923.64 N-m
Slab = 0.15(+54027.81)
= +8104.17 N-m
Middle strip = +(85554.72 -54027.81)
= +31526.91 N-m

Mo =150096 N-m
Distribute static moment into negative and
positive value:

Percentage of exterior negative factored


moment, from table 4, by interpolation:

END SPAN
x = 81.13%
Interior negative factored moment
=0.70(150096) = -105067.2 N-m
Positive factored moment
=0.57(150096) = +85554.72 N-m
Exterior negative factored moment
=0.16(150096) = -24015.36 N-m
Distribute these moments to beam and
column strips:

( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%

Column strip = 0.8113(-24015.36)


= -19483.66 N-m
Beam = 0.85(-19483.66)
= -1656.11 N-m
Slab = 0.15(-19483.66)
= -2922.55 N-m
Middle strip = -(24015.36 -19483.66)
= -4531.7 N-m

SLAB 7 (two way slab)


Dead load: DL = 6.02 kPa

Percentage of interior negative factored


moment, from table 3, by interpolation:

Live Load: LL = 4.8 kPa

Moment for the long span direction


centred on the exterior beam:

X = 83.4%
Column strip = 0.834(-108642.5)
= -90457.73 N-m
Beam = 0.85(-90457.73)
= -76889.07 N-m
Slab = 0.15(-90457.73)
= -13568.66 N-m
Middle strip = -(108642.5-90457.73)
= -18004.77 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 83.4%
Column strip = 0.834(+88319.47)
= +73658.44 N-m
Beam = 0.85(+73658.44)
= +62609.67 N-m
Slab = 0.15(+73658.44)
= +11048.77 N-m

)( )

)(

Mo = 154946.43 N-m
Distribute static moment into negative and
positive value:

Percentage of exterior negative factored


moment from table 4, by interpolation:

END SPAN
Interior negative factored moment
=0.70(154946.43) = -108462.5 N-m
Positive factored moment
=0.57(154946.43) = +88319.47 N-m
Exterior negative factored moment
=0.16(154946.43) = -24791.43 N-m
Distribute these moments to beam and
column strips:

( )

Middle strip = +(88319.47-73658.44)


= +14661.03 N-m

X = 83.4%
Column strip = 0.834(-24791.43)
= -20676.05 N-m
Beam = 0.85(-20676.05)
= -17574.64 N-m
Slab = 0.15(-20676.05)
= -3101.41 N-m
Middle strip = -(24791.43-20676.05)
= -4115.38 N-m

Moment for the long span direction


centred on the interior beam:
X = 83.4%
Column strip = 0.834(-202777.72)
= -169116.62 N-m
Beam = 0.85(-169116.62)
= -143749.13 N-m
Slab = 0.15(-169116.62)
=- 25367.49 N-m
Middle strip = -(202777.72 -169116.62)
= -33661.1 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 83.4%

)( )

)(

Mo = 289682.46 N-m
Distribute static moment into negative and
positive value:
END SPAN
Interior negative factored moment
=0.70(289682.46) = -202777.72 N-m
Positive factored moment
=0.57(289682.46) = +165119.00 N-m
Exterior negative factored moment
=0.16(289682.46) = -46349.19 N-m
Distribute these moments to beam and
column strips:

Column strip = 0.834(+165119)


= +137709.25 N-m
Beam = 0.85(+137709.25)
= +117052.86 N-m
Slab = 0.15(+137709.25)
= +20656.39 N-m
Middle strip = +(165119)- 137709.25)
= +27409.75 N-m
Percentage of exterior negative factored
moment from table 4, by interpolation:

X = 83.4%
Column strip = 0.834(-46349.19)
= -38655.22 N-m
Beam = 0.85(-38655.22)
= -32856.94 N-m
Slab = 0.15(-38655.22)
= -5798.28 N-m
Middle strip = -(46349.19-38655.22)
= -7693.97 N-m

( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

Moment for the short span direction


centered on the exterior beam line:

Column strip = 0.6315(-73153.08)


= -46196.17 N-m
Beam = 0.85(-46196.17)
= -39266.74N-m
Slab = 0.15(-46196.17)
= -6929.43 N-m
Middle strip = -(73153.08 -46196.17)
= -26956.91 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

X = 63.15%

)( )

)( )

Middle strip = +(59567.51 -37616.88)


= +21950.63 N-m

Mo = 104504.4 N-m
Distribute static moment into negative and
positive value:
END SPAN

Distribute these moments to beam and


column strips:

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%

Percentage of exterior negative factored


moment, from table 4, by interpolation:
x= 81.13%

Interior negative factored moment


=0.70(104504.4) = -73153.08 N-m
Positive factored moment
=0.57(104504.4) = +59567.51 N-m
Exterior negative factored moment
=0.16(104504.4) = -16720.7 N-m

( )

Column strip = 0.6315(+59567.51)


= +37616.88 N-m
Beam = 0.85(+37616.88)
= +31974.35 N-m
Slab = 0.15(+37616.88)
= +5642.53 N-m

Column strip = 0.8113(-16720.7)


= -13565.50 N-m
Beam = 0.85(-13565.50)
= -11530.68 N-m
Slab = 0.15(-13565.50)
= -2034.83 N-m
Middle strip =- (16720.7 -13565.50)
= -3155.2 N-m

Moment for the short span direction:

Column strip = 0.6315(-139339.2)


= -87992.7 N-m
Beam = 0.85(-87992.7)
= -74793.8 N-m
Slab = 0.15(-87992.7)
= -13198.91 N-m
Middle strip = -(139339.2 -87992.7)
= -51346.5 N-m
Percentage of positive factored moment,
from table 5, by interpolation:

x = 63.15%

)( )

)( )

Column strip = 0.6315(+113461.92)


= +71651.2 N-m
Beam = 0.85(+71651.2)
= +60903.52 N-m
Slab = 0.15(+71651.2)
= +10747.68 N-m

Mo =199056 N-m

Middle strip = +(113461.92 -71651.2)


= +41810.72 N-m

Distribute static moment into negative and


positive value:

Percentage of exterior negative factored


moment, from table 4, by interpolation:

END SPAN

x = 81.13%

Interior negative factored moment


=0.70(199056) = -139339.2 N-m
Positive factored moment
=0.57(199056) = +113461.92 N-m
Exterior negative factored moment
=0.16(199056) = -318848.96 N-m

Column strip = 0.8113(-31848.96)


= -25839.06 N-m
Beam = 0.85(-25839.06)
= -21963.2 N-m
Slab = 0.15(-25839.06)
= -3875.86 N-m

Distribute these moments to beam and


column strips:

Middle strip = -(31848.96-25839.06)


= -6009.9 N-m

( )

Percentage of interior negative factored


moment, from table 3, by interpolation:

X = 63.15%

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