slabrg.rev
DESCRIPTION
Slabrg.revTRANSCRIPT
Design of one way Slab
Here the aspect ratio Ly/Lx is greater than 2 hence slab is designed as a one way slabOneShort or Both ShortEdgesDisContinuous: yesBasic dimensions of slab = Lx
4Basic Ly/Lx ratio = 2.250
Hence designed as an one way slabClear cover to reinforcement d' =Provided overall depth D =Effective depth d =Diameter of bar f =
Select Grade of Concrete fck =Select Grade of Steel fy =
Load calculation :
Dead load of the slab DL =Floor finish(Roof finish) FF =Live load LL =
Total load TL =
Moment and Area of Steel calculations:
Mu Mu/bd² Pt Ast reqd Min Ast Dia of bar
kN.m % mm² mm² mm21.45 1.3728 43.21% 540.08 150 10
Check for Deflection
The effective depth provided = 125.00 mmbasic values of span to effective depth ratio as per IS-456 = 20.000Modification factor(due to steel in tension) = 1.64 okRequired depth under deflection consideration = 122.03 mm
SAFE15 1 250 220 41525 50030
N/mm2
Ly9
>2Hence designed as an one way slab
20 mm150.00 mm125.00 mm
10 mm
15 N/mm²415 N/mm²
3.750 kN/m²1.9 kN/m²1.5 kN/m²
7.150 kN/m²
Spacing Ast pro fs
mm mm² mm²115 682.95 190.34 safe
Design of two way Slab
Here the aspect ratio Ly/Lx is less than 2 hence the slab is designed as a two way slab
Basic dimensions of slab = Lx3
Basic Ly/Lx ratio = 1.083Hence designed as two way slab
Clear cover to reinforcement d' =Provided overall depth D =Effective depth d =Diameter of bar f =
Select Grade of Concrete fck =Select Grade of Steel fy =
Load calculation :
Dead load of the slab DL =Floor finish(Roof finish) FF =Live load LL =
Total load TL =
Moment and Area of Steel calculations:
Span Moment Mu Mu/bd² Pt Ast reqd Min Ast Dia of ba
Coefficient kN.m % mm² mm² mm
shorter 0.0346 3.90 0.6751 19.79% 150.41 91.2 8
0.0274 3.09 0.5344 15.47% 117.59 91.2 8
longer 0.0320 3.60 0.6239 18.21% 138.36 91.2 8
0.0240 2.70 0.4679 13.47% 102.36 91.2 8
Check for Deflection
The effective depth provided = 76.000 mmbasic values of span to effective depth ratio as per IS-456 32.000Modification factor = 2.08 revise the sectionRequired depth under deflection consideration = 45.10 mm
SAFEEquations used for the coeffients of moments as per IS-456 where x=ly/lx:
(22886.70646)+(-159082.39664)*x+(494573.40228)*x^2+(-905702.46575)*x^3+(1082019.99337)*x^4+(-881235.95905)*x^5+(495554.82779)*x^6+(-190012.87371)*x^7+(47548.62255)*x^8+(-7012.78838)*x^9+(462.96308)*x^10
(-63.93699)+(352.91736)*x+(-843.18116)*x^2+(1139.21304)*x^3+(-952.22031)*x^4+(504.44431)*x^5+(-165.48603)*x^6+(30.75394)*x^7+(-2.48015)*x^8+(0)*x^9+(0)*x^1015 1 250 2 Interior Panels20 415 One ShortEdge Discontinuous25 500 One LongEdge Discontinuous30 TwoAdjacentEdgesDisContinuous:
Two ShortEdge Discontinuous
N/mm2
ax neg
ax pos
ay neg
ay pos
ax neg=
ax pos=
Two LongEdge DiscontinuousThreeEdge Discontinuous(One LongEdge Continuous)ThreeEdge Discontinuous(One ShortEdge Continuous)FourEdges Discontinuous
Interior Panels
=(22886.70646) + (-159082.39664)*x + (494573.40228)*x^2 + (-905702.46575)*x^3 + (1082019.99337)*x^4 + (-881235.95905)*x^5+ (495554.82779)*x^6 + (-190012.87371)*x^7 + (47548.62255)*x^8 + (-7012.78838)*x^9 + (462.96308)*x^10
=(-63.93699) + (352.91736)*x + (-843.18116)*x^2 + (1139.21304)*x^3 + (-952.22031)*x^4 + (504.44431)*x^5+ (-165.48603)*x^6 + (30.75394)*x^7 + (-2.48015)*x^8 + (0)*x^9 + (0)*x^10)
One ShortEdge Discontinuous
=(27131.67909) + (-188551.05381)*x + (586067.75442)*x^2 + (-1073040.31929)*x^3 + (1281706.33003)*x^4 + (-1043717.86571)*x^5+ (586867.45702)*x^6 + (-225015.54361)*x^7 + (56308.71062)*x^8 + (-8305.50256)*x^9 + (548.3908)*x^10
=(-22343.83133) + (156270.58175)*x + (-488819.24866)*x^2 + (900624.46506)*x^3 + (-1082453.82526)*x^4 + (886860.54729)*x^5+ (-501666.52603)*x^6 + (193480.03519)*x^7 + (-48695.44764)*x^8 + (7222.77511)*x^9 + (-479.49747)*x^10)
One LongEdge Discontinuous
=(22367.96438) + (-154705.60435)*x + (478601.00515)*x^2 + (-872204.92338)*x^3 + (1037054.83924)*x^4 + (-840710.22947)*x^5+ (470649.20583)*x^6 + (-179685.11132)*x^7 + (44778.45028)*x^8 + (-6578.20941)*x^9 + (432.65003)*x^10
=(-21990.92829) + (153380.33726)*x + (-478464.38992)*x^2 + (879154.71853)*x^3 + (-1053831.43198)*x^4 + (861162.12518)*x^5+ (-485899.74783)*x^6 + (186942.94788)*x^7 + (-46940.32179)*x^8 + (6946.92632)*x^9 + (-460.20735)*x^10)
TwoAdjacentEdgesDisContinuous:
=(20926.03809) + (-145207.55868)*x + (450767.93314)*x^2 + (-824460.49501)*x^3 + (984017.64816)*x^4 + (-800898.00627)*x^5+ (450234.86907)*x^6 + (-172642.01947)*x^7 + (43219.25631)*x^8 + (-6379.24543)*x^9 + (421.62709)*x^10
=(6655.85501) + (-45988.83401)*x + (142111.46438)*x^2 + (-258656.61143)*x^3 + (307113.37598)*x^4 + (-248588.21831)*x^5+ (138936.96369)*x^6 + (-52950.8062)*x^7 + (13171.29963)*x^8 + (-1931.21745)*x^9 + (126.7637)*x^10)
Two ShortEdge Discontinuous
=(17539.03462) + (-123182.17449)*x + (386858.2405)*x^2 + (-715456.89634)*x^3 + (862947.64818)*x^4 + (-709353.35103)*x^5+ (402486.45246)*x^6 + (-155668.00593)*x^7 + (39280.76277)*x^8 + (-5840.22404)*x^9 + (388.55829)*x^10)
=(-3337.75952) + (22461.05744)*x + (-67512.63378)*x^2 + (119389.05755)*x^3 + (-137590.41213)*x^4 + (108004.58227)*x^5+ (-58497.26668)*x^6 + (21591.7887)*x^7 + (-5199.24108)*x^8 + (737.70969)*x^9 + (-46.84746)*x^10)
Two LongEdge Discontinuous
=0
=(6667.77103) + (-45680.14152)*x + (139930.97634)*x^2 + (-252427.35875)*x^3 + (297004.88413)*x^4 + (-238191.55575)*x^5+ (131879.92697)*x^6 + (-49783.84202)*x^7 + (12264.38827)*x^8 + (-1780.75449)*x^9 + (115.74077)*x^10)
ThreeEdge Discontinuous(One LongEdge Continuous)
=(-12249.95581) + (86129.1813)*x + (-270814.31919)*x^2 + (501495.23042)*x^3 + (-605727.79846)*x^4 + (498667.09458)*x^5+ (-283398.41245)*x^6 + (109795.09562)*x^7 + (-27754.63572)*x^8 + (4134.14998)*x^9 + (-275.57325)*x^10
=(-27933.55415) + (195573.69765)*x + (-612433.08247)*x^2 + (1129643.38702)*x^3 + (-1359257.78726)*x^4 + (1114929.63342)*x^5+ (-631406.53972)*x^6 + (243798.76245)*x^7 + (-61430.23875)*x^8 + (9122.02598)*x^9 + (-606.26117)*x^10)
ThreeEdge Discontinuous(One ShortEdge Continuous)
=0
=(4095.20864) + (-27676.16755)*x + (83584.78359)*x^2 + (-148574.70986)*x^3 + (172162.20486)*x^4 + (-135908.79041)*x^5+ (74035.35485)*x^6 + (-27484.76307)*x^7 + (6655.92137)*x^8 + (-949.62554)*x^9 + (60.62612)*x^10)
FourEdges Discontinuous
=0
=(13888.78711) + (-96794.43404)*x + (301681.03744)*x^2 + (-553768.99493)*x^3 + (663037.82538)*x^4 + (-541113.1564)*x^5+ (304869.48572)*x^6 + (-117102.80404)*x^7 + (29351.03212)*x^8 + (-4335.31855)*x^9 + (286.59619)*x^10)
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
ax neg
ax pos
Ly3.25
Hence designed as two way slab20 mm
100.00 mm76.00 mm
8 mm
15 N/mm²415 N/mm²
3.750 kN/m²0.5 kN/m²
3 kN/m²
7.150 kN/m²
Spacing Ast pro fs
mm mm² mm²
300 167.55 216.08 safe
300 167.55 168.92 safe
300 167.55 safe
300 167.55 safe
(22886.70646)+(-159082.39664)*x+(494573.40228)*x^2+(-905702.46575)*x^3+(1082019.99337)*x^4+(-881235.95905)*x^5+(495554.82779)*x^6+(-190012.87371)*x^7+(47548.62255)*x^8+(-7012.78838)*x^9+(462.96308)*x^10
(-63.93699)+(352.91736)*x+(-843.18116)*x^2+(1139.21304)*x^3+(-952.22031)*x^4+(504.44431)*x^5+(-165.48603)*x^6+(30.75394)*x^7+(-2.48015)*x^8+(0)*x^9+(0)*x^101 0.0346 0.0000
0.0274 0.00000.0619
=(22886.70646) + (-159082.39664)*x + (494573.40228)*x^2 + (-905702.46575)*x^3 + (1082019.99337)*x^4 + (-881235.95905)*x^5+ (495554.82779)*x^6 + (-190012.87371)*x^7 + (47548.62255)*x^8 + (-7012.78838)*x^9 + (462.96308)*x^10
=(-63.93699) + (352.91736)*x + (-843.18116)*x^2 + (1139.21304)*x^3 + (-952.22031)*x^4 + (504.44431)*x^5+ (-165.48603)*x^6 + (30.75394)*x^7 + (-2.48015)*x^8 + (0)*x^9 + (0)*x^10)
=(27131.67909) + (-188551.05381)*x + (586067.75442)*x^2 + (-1073040.31929)*x^3 + (1281706.33003)*x^4 + (-1043717.86571)*x^5+ (586867.45702)*x^6 + (-225015.54361)*x^7 + (56308.71062)*x^8 + (-8305.50256)*x^9 + (548.3908)*x^10
=(-22343.83133) + (156270.58175)*x + (-488819.24866)*x^2 + (900624.46506)*x^3 + (-1082453.82526)*x^4 + (886860.54729)*x^5+ (-501666.52603)*x^6 + (193480.03519)*x^7 + (-48695.44764)*x^8 + (7222.77511)*x^9 + (-479.49747)*x^10)
=(22367.96438) + (-154705.60435)*x + (478601.00515)*x^2 + (-872204.92338)*x^3 + (1037054.83924)*x^4 + (-840710.22947)*x^5+ (470649.20583)*x^6 + (-179685.11132)*x^7 + (44778.45028)*x^8 + (-6578.20941)*x^9 + (432.65003)*x^10
=(-21990.92829) + (153380.33726)*x + (-478464.38992)*x^2 + (879154.71853)*x^3 + (-1053831.43198)*x^4 + (861162.12518)*x^5+ (-485899.74783)*x^6 + (186942.94788)*x^7 + (-46940.32179)*x^8 + (6946.92632)*x^9 + (-460.20735)*x^10)
=(20926.03809) + (-145207.55868)*x + (450767.93314)*x^2 + (-824460.49501)*x^3 + (984017.64816)*x^4 + (-800898.00627)*x^5+ (450234.86907)*x^6 + (-172642.01947)*x^7 + (43219.25631)*x^8 + (-6379.24543)*x^9 + (421.62709)*x^10
=(6655.85501) + (-45988.83401)*x + (142111.46438)*x^2 + (-258656.61143)*x^3 + (307113.37598)*x^4 + (-248588.21831)*x^5+ (138936.96369)*x^6 + (-52950.8062)*x^7 + (13171.29963)*x^8 + (-1931.21745)*x^9 + (126.7637)*x^10)
=(17539.03462) + (-123182.17449)*x + (386858.2405)*x^2 + (-715456.89634)*x^3 + (862947.64818)*x^4 + (-709353.35103)*x^5+ (402486.45246)*x^6 + (-155668.00593)*x^7 + (39280.76277)*x^8 + (-5840.22404)*x^9 + (388.55829)*x^10)
=(-3337.75952) + (22461.05744)*x + (-67512.63378)*x^2 + (119389.05755)*x^3 + (-137590.41213)*x^4 + (108004.58227)*x^5+ (-58497.26668)*x^6 + (21591.7887)*x^7 + (-5199.24108)*x^8 + (737.70969)*x^9 + (-46.84746)*x^10)
=(6667.77103) + (-45680.14152)*x + (139930.97634)*x^2 + (-252427.35875)*x^3 + (297004.88413)*x^4 + (-238191.55575)*x^5+ (131879.92697)*x^6 + (-49783.84202)*x^7 + (12264.38827)*x^8 + (-1780.75449)*x^9 + (115.74077)*x^10)
=(-12249.95581) + (86129.1813)*x + (-270814.31919)*x^2 + (501495.23042)*x^3 + (-605727.79846)*x^4 + (498667.09458)*x^5+ (-283398.41245)*x^6 + (109795.09562)*x^7 + (-27754.63572)*x^8 + (4134.14998)*x^9 + (-275.57325)*x^10
=(-27933.55415) + (195573.69765)*x + (-612433.08247)*x^2 + (1129643.38702)*x^3 + (-1359257.78726)*x^4 + (1114929.63342)*x^5+ (-631406.53972)*x^6 + (243798.76245)*x^7 + (-61430.23875)*x^8 + (9122.02598)*x^9 + (-606.26117)*x^10)
=(4095.20864) + (-27676.16755)*x + (83584.78359)*x^2 + (-148574.70986)*x^3 + (172162.20486)*x^4 + (-135908.79041)*x^5+ (74035.35485)*x^6 + (-27484.76307)*x^7 + (6655.92137)*x^8 + (-949.62554)*x^9 + (60.62612)*x^10)
=(13888.78711) + (-96794.43404)*x + (301681.03744)*x^2 + (-553768.99493)*x^3 + (663037.82538)*x^4 + (-541113.1564)*x^5+ (304869.48572)*x^6 + (-117102.80404)*x^7 + (29351.03212)*x^8 + (-4335.31855)*x^9 + (286.59619)*x^10)
(22886.70646)+(-159082.39664)*x+(494573.40228)*x^2+(-905702.46575)*x^3+(1082019.99337)*x^4+(-881235.95905)*x^5+(495554.82779)*x^6+(-190012.87371)*x^7+(47548.62255)*x^8+(-7012.78838)*x^9+(462.96308)*x^10
=(22886.70646) + (-159082.39664)*x + (494573.40228)*x^2 + (-905702.46575)*x^3 + (1082019.99337)*x^4 + (-881235.95905)*x^5+ (495554.82779)*x^6 + (-190012.87371)*x^7 + (47548.62255)*x^8 + (-7012.78838)*x^9 + (462.96308)*x^10
=(27131.67909) + (-188551.05381)*x + (586067.75442)*x^2 + (-1073040.31929)*x^3 + (1281706.33003)*x^4 + (-1043717.86571)*x^5+ (586867.45702)*x^6 + (-225015.54361)*x^7 + (56308.71062)*x^8 + (-8305.50256)*x^9 + (548.3908)*x^10
=(-22343.83133) + (156270.58175)*x + (-488819.24866)*x^2 + (900624.46506)*x^3 + (-1082453.82526)*x^4 + (886860.54729)*x^5+ (-501666.52603)*x^6 + (193480.03519)*x^7 + (-48695.44764)*x^8 + (7222.77511)*x^9 + (-479.49747)*x^10)
=(22367.96438) + (-154705.60435)*x + (478601.00515)*x^2 + (-872204.92338)*x^3 + (1037054.83924)*x^4 + (-840710.22947)*x^5+ (470649.20583)*x^6 + (-179685.11132)*x^7 + (44778.45028)*x^8 + (-6578.20941)*x^9 + (432.65003)*x^10
=(-21990.92829) + (153380.33726)*x + (-478464.38992)*x^2 + (879154.71853)*x^3 + (-1053831.43198)*x^4 + (861162.12518)*x^5+ (-485899.74783)*x^6 + (186942.94788)*x^7 + (-46940.32179)*x^8 + (6946.92632)*x^9 + (-460.20735)*x^10)
=(20926.03809) + (-145207.55868)*x + (450767.93314)*x^2 + (-824460.49501)*x^3 + (984017.64816)*x^4 + (-800898.00627)*x^5+ (450234.86907)*x^6 + (-172642.01947)*x^7 + (43219.25631)*x^8 + (-6379.24543)*x^9 + (421.62709)*x^10
=(6655.85501) + (-45988.83401)*x + (142111.46438)*x^2 + (-258656.61143)*x^3 + (307113.37598)*x^4 + (-248588.21831)*x^5+ (138936.96369)*x^6 + (-52950.8062)*x^7 + (13171.29963)*x^8 + (-1931.21745)*x^9 + (126.7637)*x^10)
=(17539.03462) + (-123182.17449)*x + (386858.2405)*x^2 + (-715456.89634)*x^3 + (862947.64818)*x^4 + (-709353.35103)*x^5+ (402486.45246)*x^6 + (-155668.00593)*x^7 + (39280.76277)*x^8 + (-5840.22404)*x^9 + (388.55829)*x^10)
=(-3337.75952) + (22461.05744)*x + (-67512.63378)*x^2 + (119389.05755)*x^3 + (-137590.41213)*x^4 + (108004.58227)*x^5+ (-58497.26668)*x^6 + (21591.7887)*x^7 + (-5199.24108)*x^8 + (737.70969)*x^9 + (-46.84746)*x^10)
=(6667.77103) + (-45680.14152)*x + (139930.97634)*x^2 + (-252427.35875)*x^3 + (297004.88413)*x^4 + (-238191.55575)*x^5+ (131879.92697)*x^6 + (-49783.84202)*x^7 + (12264.38827)*x^8 + (-1780.75449)*x^9 + (115.74077)*x^10)
=(-12249.95581) + (86129.1813)*x + (-270814.31919)*x^2 + (501495.23042)*x^3 + (-605727.79846)*x^4 + (498667.09458)*x^5+ (-283398.41245)*x^6 + (109795.09562)*x^7 + (-27754.63572)*x^8 + (4134.14998)*x^9 + (-275.57325)*x^10
=(-27933.55415) + (195573.69765)*x + (-612433.08247)*x^2 + (1129643.38702)*x^3 + (-1359257.78726)*x^4 + (1114929.63342)*x^5+ (-631406.53972)*x^6 + (243798.76245)*x^7 + (-61430.23875)*x^8 + (9122.02598)*x^9 + (-606.26117)*x^10)
=(4095.20864) + (-27676.16755)*x + (83584.78359)*x^2 + (-148574.70986)*x^3 + (172162.20486)*x^4 + (-135908.79041)*x^5+ (74035.35485)*x^6 + (-27484.76307)*x^7 + (6655.92137)*x^8 + (-949.62554)*x^9 + (60.62612)*x^10)
=(13888.78711) + (-96794.43404)*x + (301681.03744)*x^2 + (-553768.99493)*x^3 + (663037.82538)*x^4 + (-541113.1564)*x^5+ (304869.48572)*x^6 + (-117102.80404)*x^7 + (29351.03212)*x^8 + (-4335.31855)*x^9 + (286.59619)*x^10)