Diseño de LOSA Aligerada

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LOSA ALIGERADA

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SLAB AligSLAB DESIGN1.- CASEcolumslapSPAN/252.- CASE3.- CASE4.- CASE5.- CASE6.- CASEUnloaded slab4slap54=0.15m1. Load of meters1. Load of meters1. Load of meters1. Load of meters1. Load of meters1. Load of metersPermanent LoadsWeight unloadeD slab320Kg/m2Weight finish floor100Kg/m2Weight equivalent Load or wall100Kg/m2F1, Factor1.4D520Kg/m2F2, Factor1.7Live LoadOver LoadS/C400Kg/m2L400Kg/m2

2. Last Load of Design2. Last Load of Design2. Last Load of Design2. Last Load of Design2. Last Load of Design2. Last Load of DesignWide of beam0.4mU = F1 * D + F2 * L=1408Kg/mlU = F1 * D + F2 * L=1408Kg/mlU = F1 * D + F2 * L=1408Kg/mlU = F1 * D + F2 * L=1408Kg/mlU = F1 * D + F2 * L=1408Kg/mlU = F1 * D + F2 * L=1408Kg/mlLoad on beam TKg/mlLoad on beam T=563.2Kg/mlLoad on beam T=563.2Kg/mlLoad on beam T=563.2Kg/mlLoad on beam T0.4 es el ancho de losa=563.2Kg/mlLoad on beam T=563.2Kg/mlLast dead load W vig = 0.4 * U=563.2Kg/mlLast dead load W vig = 0.4 * U=291.2Kg/mlLast dead load W vig = 0.4 * U=291.2Kg/mlLast dead load W vig = 0.4 * U=291.2Kg/mlLast dead load W vig = 0.4 * U=291.2Kg/mlLast dead load W vig = 0.4 * U=291.2Kg/mlLast live load W um = F1 * D * 0.4=291.2Kg/mlLast live load W um = F1 * D * 0.4=272Kg/mlLast live load W um = F1 * D * 0.4=272Kg/mlLast live load W um = F1 * D * 0.4=272Kg/mlLast live load W um = F1 * D * 0.4=272Kg/mlLast live load W um = F1 * D * 0.4=272Kg/mlW uv = F2 * L * 0.4=272W uv = F2 * L * 0.4W uv = F2 * L * 0.4W uv = F2 * L * 0.4W uv = F2 * L * 0.4W uv = F2 * L * 0.4

3. Determination of momentos3. Determination of momentos3. Determination of momentos3. Determination of momentos3. Determination of momentos3. Determination of momentosimaginary flown whereas clause O J Oimaginary flown whereas clause imaginary flown whereas clause imaginary flown whereas clause imaginary flown whereas clause imaginary flown whereas clause ExternalM = W L^2 / 24Ki * 0.75 =1476.2Extreme left, external faceExternalM = W L^2 / 24Ki * 0.75 =2.0Extreme left, external faceExternalM = W L^2 / 24Ki * 0.75 =2.0Extreme left, external faceExternalM = W L^2 / 24Ki * 0.75 =2.0Extreme left, external faceExternalM = W L^2 / 24Ki * 0.75 =2.0Extreme left, external faceExternalM = W L^2 / 24Ki * 0.75 =2.0Extreme left, external faceMiddleM = W L^2 / 12Kd * 0.75 =1968.300Extreme right, external faceMiddleM = W L^2 / 12Kd * 0.75 =2.025Extreme right, external faceMiddleM = W L^2 / 12Kd * 0.75 =2.025Extreme right, external faceMiddleM = W L^2 / 12Kd * 0.75 =2.025Extreme right, external faceMiddleM = W L^2 / 12Kd * 0.75 =2.025Extreme right, external faceMiddleM = W L^2 / 12Kd * 0.75 =2.025Extreme right, external faceCalculate of stiffnessCalculate of stiffnessCalculo de las rigidecesCalculate of stiffnessCalculate of stiffnessCalculate of stiffnessK11968.30=3*3*3/10K12.70=3*3*3/10K12.70=3*3*3/10K12.70=3*3*3/10K12.70=3*3*3/10K12.70=3*3*3/10K21968.30=3*3*3/10K22.70=3*3*3/10K22.70=3*3*3/10K22.70=3*3*3/10K22.70=3*3*3/10K22.70=3*3*3/10K31968.30=3*3*3/10K32.70=3*3*3/10K32.70=3*3*3/10K32.70=3*3*3/10K32.70=3*3*3/10K32.70=3*3*3/10K40.00=3*3*3/10K42.70=3*3*3/10K42.70=3*3*3/10K42.70=3*3*3/10K42.70=3*3*3/10K42.70=3*3*3/10K1 * ,751476.23K1 * ,752.03K1 * ,752.03K1 * ,752.03K1 * ,752.03K1 * ,752.03K4 * ,750.00K4 * ,752.03K4 * ,752.03K4 * ,752.03K4 * ,752.03K4 * ,752.03

Node1234567891011Node12345Node12345Node12345Node12345Node12345SLAP0.303.003.003.003.003.003.003.003.003.003.000.3SLAP33.003.003.003.003SLAP33.003.003.003.003SLAP33.003.003.003.003SLAP33.003.003.003.003SLAP33.003.003.003.003Stiffness1968.3001476.2251968.3001968.3001968.3001968.3001968.3001968.3001968.3001968.3001476.2251968.300Stiffness2.72.0252.72.72.0252.7Stiffness2.72.0252.72.72.0252.7Stiffness2.72.0252.72.72.0252.7Stiffness2.72.0252.72.72.0252.7Stiffness2.72.0252.72.72.0252.7

123451234512345123451234512345Node.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-55-65-66-76-77-87-88-98-99-109-1010-1110-11,5-0Node.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-5,5-0Node.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-5,5-0Nudo.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-5,5-0Nudo.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-5,5-0Nudo.0-1,1-2,1-2,2-3,2-3,3-4,3-4,4-5,4-5,5-0W563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20563.20W291.20291.20291.20563.20563.20291.20291.20563.20563.20563.20W563.20563.20563.20563.20563.20291.20291.20563.20563.20563.20W563.20563.20563.20291.20291.20563.20563.20291.20291.20291.20W563.20563.20563.20291.20291.20563.20563.20563.20563.20563.20W291.20291.20291.20563.20563.20563.20563.20291.20291.20291.20L33.003.003.00333333333333333330.3L3333333333L3333333333L3333333333L3333333333L3333333333const24121212121212121212121212121212121212121224const24121212121212121224const24121212121212121224const24121212121212121224const24121212121212121224const24121212121212121224

WL^2/const211.20422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.40422.402.11WL^2/const109.20218.40218.40422.40422.40218.40218.40422.40422.40211.20WL^2/const211.20422.40422.40422.40422.40218.40218.40422.40422.40211.20WL^2/const211.20422.40422.40218.40218.40422.40422.40218.40218.40109.20WL^2/const211.20422.40422.40218.40218.40422.40422.40422.40422.40211.20WL^2/const109.20218.40218.40422.40422.40422.40422.40218.40218.40109.201-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1211.20-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-2.11109.20-218.40218.40-422.40422.40-218.40218.40-422.40422.40-211.20211.20-422.40422.40-422.40422.40-218.40218.40-422.40422.40-211.20211.20-422.40422.40-218.40218.40-422.40422.40-218.40218.40-109.20211.20-422.40422.40-218.40218.40-422.40422.40-422.40422.40-211.20109.20-218.40218.40-422.40422.40-422.40422.40-218.40218.40-109.20

Node12345Node12345Nudo12345Node12345Node12345Node12345Slap0-11-21-22-32-33-43-44-54-55-0Slap0-11-21-22-32-33-43-44-54-55-0Tramo0-11-21-22-32-33-43-44-54-55-0Slap0-11-21-22-32-33-43-44-54-55-0Slap0-11-21-22-32-33-43-44-54-55-0Slap0-11-21-22-32-33-43-44-54-55-0K1968.301476.231968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301968.301476.231968.300.00K2.702.032.702.702.702.702.032.70K2.702.032.702.702.702.702.032.70K2.702.032.702.702.702.702.032.70K2.702.032.702.702.702.702.032.70K2.702.032.702.702.702.702.032.70K/sum K0.001.000.430.570.500.500.500.500.500.500.500.500.500.500.500.500.500.500.570.431.000.00K/sum K0.001.000.430.570.500.500.570.431.000.00K/sum K0.001.000.430.570.500.500.570.431.000.00K/sum K0.001.000.430.570.500.500.570.431.000.00K/sum K0.001.000.430.570.500.500.570.431.000.00K/sum K0.001.000.430.570.500.500.570.431.000.00CROSSCROSSCROSSCROSSCROSSCROSS0.00-1.00-0.43-0.57-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.50-0.57-0.43-1.000.000.00-1.00-0.43-0.57-0.50-0.50-0.57-0.43-1.000.000.00-1.00-0.43-0.57-0.50-0.50-0.57-0.43-1.000.000.00-1.00-0.43-0.57-0.50-0.50-0.57-0.43-1.000.000.00-1.00-0.43-0.57-0.50-0.50-0.57-0.43-1.000.000.00-1.00-0.43-0.57-0.50-0.50-0.57-0.43-1.000.00M.E.211.20-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-422.40422.40-2.11M.E.109.20-218.40218.40-422.40422.40-218.40218.40-422.40422.40-211.20M.E.211.20-422.40422.40-422.40422.40-218.40218.40-422.40422.40-211.20M.E.211.20-422.40422.40-218.40218.40-422.40422.40-218.40218.40-109.20M.E.211.20-422.40422.40-218.40218.40-422.40422.40-422.40422.40-211.20M.E.109.20-218.40218.40-422.40422.40-422.40422.40-218.40218.40-109.20 211.20105.60105.60-1.06-1.06-2.11 109.2054.60-149.40-105.60-309.60-211.20 211.20105.60105.60-105.60-309.60-211.20 211.20105.60309.60-54.60149.40-109.20 211.20105.60309.60-105.60-105.60-211.20 109.2054.60-149.40-54.60149.40-109.20 -45.26-60.34-30.170.26-29.910.530.53 64.0385.3742.6988.46335.14176.91132.69 -45.26-60.34-30.1788.46262.29176.91132.69 -132.69-176.91-88.46-42.69-335.14-85.37-64.03 -132.69-176.91-88.4630.17-262.2960.3445.26 64.0385.3742.69-42.690.00-85.37-64.037.4814.9514.957.48-83.79-167.57-167.57-83.79-65.57-131.14-131.14-65.5783.79167.57167.5783.7965.57131.14131.1465.570.000.000.000.00-3.20-4.27-2.14-1.87-4.01-3.74-3.7435.9147.8823.9423.9447.8847.8835.9128.1037.4718.7318.7337.4737.4728.10-35.91-47.88-23.94-23.94-47.88-47.88-35.91-28.10-37.47-18.73-18.73-37.47-37.47-28.100.000.000.000.000.000.000.001.002.002.001.00-11.97-23.94-23.94-11.97-9.37-18.73-18.73-9.3711.9723.9423.9411.979.3718.7318.739.370.000.000.000.00-0.43-0.57-0.29-0.25-0.54-0.50-0.505.136.843.423.426.846.845.134.015.352.682.685.355.354.01-5.13-6.84-3.42-3.42-6.84-6.84-5.13-4.01-5.35-2.68-2.68-5.35-5.35-4.010.000.000.000.000.000.000.000.130.270.270.13-1.71-3.42-3.42-1.71-1.34-2.68-2.68-1.341.713.423.421.711.342.682.681.340.000.000.000.00-0.06-0.08-0.04-0.03-0.07-0.07-0.070.730.980.490.490.980.980.730.570.760.380.380.760.760.57-0.73-0.98-0.49-0.49-0.98-0.98-0.73-0.57-0.76-0.38-0.38-0.76-0.76-0.570.000.000.000.000.000.000.000.020.040.040.02-0.24-0.49-0.49-0.24-0.19-0.38-0.38-0.190.240.490.490.240.190.380.380.190.000.000.000.00-0.01-0.01-0.01-0.00-0.01-0.01-0.010.100.140.070.070.140.140.100.080.110.050.050.110.110.08-0.10-0.14-0.07-0.07-0.14-0.14-0.10-0.08-0.11-0.05-0.05-0.11-0.11-0.080.000.000.000.000.000.000.000.000.000.000.00-0.03-0.07-0.07-0.03-0.03-0.05-0.05-0.030.030.070.070.030.030.050.050.030.000.000.000.00-0.00-0.00-0.00-0.00-0.00-0.00-0.000.010.020.010.010.020.020.010.010.020.010.010.020.020.01-0.01-0.02-0.01-0.01-0.02-0.02-0.01-0.01-0.02-0.01-0.01-0.02-0.02-0.010.000.000.000.000.000.000.000.000.000.000.00-0.00-0.01-0.01-0.00-0.00-0.01-0.01-0.000.000.010.010.000.000.010.010.000.000.000.000.00-0.00-0.00-0.00-0.00-0.00-0.00-0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.00-0.000.000.000.000.000.000.000.000.000.00-0.00-0.00-0.00-0.000.000.000.000.000.000.00

211.20-211.20 479.04-479.04 407.03-407.03 427.24-427.24420.29-2.11109.20-109.20 378.92-378.92 297.51-297.51 353.42-353.42211.20-211.20211.20-211.20 515.53-515.53 261.09-261.09 362.53-362.53211.20-211.20211.20-211.20 353.42-353.42 297.51-297.51 378.92-378.92109.20-109.20211.20-211.20 362.53-362.53 261.09-261.09 515.53-515.53211.20-211.20109.20-109.20 337.03-337.03 465.09-465.09 337.03-337.03109.20-109.20ABS()211.20479.04479.04407.03407.03427.24427.24420.29ABS()109.20378.92378.92297.51297.51353.42353.42211.20ABS()211.20515.53515.53261.09261.09362.53362.53211.20ABS()211.20353.42353.42297.51297.51378.92378.92109.20ABS()211.20362.53362.53261.09261.09515.53515.53211.20ABS()109.20337.03337.03465.09465.09337.03337.03109.20izqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqderizqder

4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / L4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / L4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / L4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / L4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / L4. ANALISIS between axiesRi = W L / 2 + ( Mi - Md ) / LRd = W L - RiRd = W L - RiRd = W L - RiRd = W L - RiRd = W L - RiRd = W L - RiX(+) = Ri / WX(+) = Ri / WX(+) = Ri / WX(+) = Ri / WX(+) = Ri / WX(+) = Ri / WX'(+) = L - X(+)X'(+) = L - X(+)X'(+) = L - X(+)X'(+) = L - X(+)X'(+) = L - X(+)X'(+) = L - X(+)M(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiXi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xi = X(+) - ( X(+)^2 - 2 Mi / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)Xd = X'(+) - ( X'(+)^2 - 2 Md / W ) ^ (1/2)

RATIOSRATIOSRATIOSRATIOSRATIOS123451234512345123451234512345

Ri755.52868.80838.06847.12Ri346.89871.94418.17892.21Ri743.36929.61402.99895.24Ri797.39455.43817.66526.71Ri794.36470.61759.99946.24Ri360.86802.11887.49512.74Rd934.08820.80851.54842.48Rd526.71817.66455.43797.39Rd946.24759.99470.61794.36Rd892.21418.17871.94346.89Rd895.24402.99929.61743.36Rd512.74887.49802.11360.86X(+)1.341.541.491.50X(+)1.191.551.441.58X(+)1.321.651.381.59X(+)1.421.561.451.81X(+)1.411.621.351.68X(+)1.241.421.581.76X'(+)1.661.461.511.50X'(+)1.811.451.561.42X'(+)1.681.351.621.41X'(+)1.581.441.551.19X'(+)1.591.381.651.32X'(+)1.761.581.421.24M(+)295.56191.08216.50209.84M(+)97.42296.032.73353.28M(+)279.37251.6817.76348.99M(+)353.282.73296.0397.42M(+)348.9917.76251.68279.37M(+)114.39234.16234.16114.39Xi0.320.720.610.64Xi0.370.521.300.46Xi0.320.711.030.48Xi0.301.430.430.99Xi0.301.270.400.68Xi0.350.510.660.87Xd0.630.630.640.63Xd0.990.431.430.30Xd0.680.401.270.30Xd0.461.300.520.37Xd0.481.030.710.32Xd0.870.660.510.35

Peralte = d = Total high Slab - Cover = h - CoverPeralte = d = Total high Slab - Cover = h - CoverPeralte = d = Total high Slab - Cover = h - CoverPeralte = d = Total high Slab - Cover = h - CoverPeralte = d = Total high Slab - Cover = h - CoverPeralte = d = Total high Slab - Cover = h - Covern = Wide of support /2 + dn = Wide of support /2 + dn = Wide of support /2 + dn = Wide of support /2 + dn = Wide of support /2 + dn = Wide of support /2 + dmmmmmmmmmmmmmmmmmmmmmmmmTotal high Slab0.150.150.150.15Total high Slab0.150.150.150.15altura total losa0.150.150.150.15Total high Slab0.150.150.150.15altura total losa0.150.150.150.15altura total losa0.150.150.150.15Cover0.030.030.030.03Cover0.030.030.030.03recubrimiento0.030.030.030.03Cover0.030.030.030.03recubrimiento0.030.030.030.03recubrimiento0.030.030.030.03Wide of support0.400.400.400.40Wide of support0.400.400.400.40ancho de apoyo0.400.400.400.40Wide of support0.400.400.400.40ancho de apoyo0.400.400.400.40ancho de apoyo0.400.400.400.40

d0.120.120.120.12d0.120.120.120.12d0.120.120.120.12d0.120.120.120.12d0.120.120.120.12d0.120.120.120.12n0.320.320.320.32n0.320.320.320.32n0.320.320.320.32n0.320.320.320.32n0.320.320.320.32n0.320.320.320.32Vi = Ri - n WVi = Ri - n WVi = Ri - n WVi = Ri - n WVi = Ri - n WVi = Ri - n WVd = Rd - n WVd = Rd - n WVd = Rd - n WVd = Rd - n WVd = Rd - n WVd = Rd - n WVi575.3688.6657.8666.9Vi253.7691.7325.0712.0Vi563.1749.4309.8715.0Vi617.2362.3637.4433.5Vi614.1377.4579.8766.0Vi267.7621.9707.3419.6Vd753.9640.6671.3662.3Vd433.5637.4362.3617.2Vd766.0579.8377.4614.1Vd712.0325.0691.7253.7Vd715.0309.8749.4563.1Vd419.6707.3621.9267.7

X = Wide of support / 2X = Wide of support / 2X = Wide of support / 2X = Wide of support / 2X = Wide of support / 2X = Wide of support / 2Mx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 2M(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - MiM(+) = Ri^2 / ( 2 W ) - Mi

X0.20.20.20.2X0.20.20.20.2X0.20.20.20.2X0.20.20.20.2X0.20.20.20.2X0.20.20.20.2

Mx-71.36-316.55-250.68-269.08Mx-45.65-215.80-219.71-186.25Mx-73.79-340.87-186.31-194.75Mx-62.99-268.16-145.25-279.40Mx-63.59-274.23-120.35-337.54Mx-42.85-187.87-298.85-240.30M'x-303.49-254.13-268.20-263.06M'x-279.40-145.25-268.16-62.99M'x-337.54-120.35-274.23-63.59M'x-186.25-219.71-215.80-45.65M'x-194.75-186.31-340.87-73.79M'x-240.30-298.85-187.87-42.85(+)295.56191.08216.50209.84(+)97.42296.032.73353.28(+)279.37251.6817.76348.99(+)353.282.73296.0397.42(+)348.9917.76251.68279.37(+)114.39234.16234.16114.39

D = RightI = Left

SlapSlapWide ofdWvMomento (-)ReacctionMoment of designStrees ShearPoint inflexSupportIDIDX(+)ID(+)IDID1.- CASERiRdMxMxM(+)ViVdXiXd1-230.40.12563.20211.20479.04755.52934.081.34-71.36-303.49295.56575.29753.860.320.632-330.40.12563.20479.04407.03868.80820.801.54-316.55-254.13191.08688.58640.570.720.633-430.40.12563.20407.03427.24838.06851.541.49-250.68-268.20216.50657.84671.310.610.644-530.40.12563.20427.24420.29847.12842.481.50-269.08-263.06209.84666.89662.260.640.632.- CASE1-230.40.12291.20109.20378.92346.89526.711.19-45.65-279.4097.42253.71433.520.370.992-330.40.12563.20378.92297.51871.94817.661.55-215.80-145.25296.03691.71637.440.520.433-430.40.12291.20297.51353.42418.17455.431.44-219.71-268.162.73324.98362.251.301.434-530.40.12563.20353.42211.20892.21797.391.58-186.25-62.99353.28711.98617.170.460.303.- CASE1-230.40.12563.20211.20515.53743.36946.241.32-73.79-337.54279.37563.13766.020.320.682-330.40.12563.20515.53261.09929.61759.991.65-340.87-120.35251.68749.39579.760.710.403-430.40.12291.20261.09362.53402.99470.611.38-186.31-274.2317.76309.80377.431.031.274-530.40.12563.20362.53211.20895.24794.361.59-194.75-63.59348.99715.02614.130.480.304.- CASE1-230.40.12563.20211.20353.42797.39892.211.42-62.99-186.25353.28617.17711.980.300.462-330.40.12291.20353.42297.51455.43418.171.56-268.16-219.712.73362.25324.981.431.303-430.40.12563.20297.51378.92817.66871.941.45-145.25-215.80296.03637.44691.710.430.524-530.40.12291.20378.92109.20526.71346.891.81-279.40-45.6597.42433.52253.710.990.37Moment of designStress SheartPoint inflexFOR DRAWSFOR DRAWS5.- CASEIDIDIDMx = Ri X - Mi - W X^2 / 2Mx = Ri X - Mi - W X^2 / 21-230.40.12563.20211.20362.53794.36895.241.41-63.59-194.75348.99614.13715.020.300.48MxMxM(+)minmaxminmaxminmaxM'x = Rd X - Md - W X^2 / 2M'x = Rd X - Md - W X^2 / 22-330.40.12291.20362.53261.09470.61402.991.62-274.23-186.3117.76377.43309.801.271.03MuFinishSLAP 1 -2SLAP 2 - 3SLAP 3 -4SLAP 4 - 53-430.40.12563.20261.09515.53759.99929.611.35-120.35-340.87251.68579.76749.390.400.7173.79337.54353.28617.17766.020.300.370.460.9973.79340.87XMxMxMxMxMxMxMxMxMxMxMxMxMxMxMxMxMxMxMx4-530.40.12563.20515.53211.20946.24743.361.68-337.54-73.79279.37766.02563.130.680.32340.87298.85296.03749.39707.260.511.000.401.00340.87298.850211.20109.20211.20211.20211.20109.200.0479.04378.92515.53353.42362.53337.030.0407.03297.51261.09297.51261.09465.090427.24353.42362.53378.92261.09337.03298.85340.87296.03707.26749.390.401.300.301.43298.85340.870.271.3645.6573.7962.9963.5942.850.2316.55215.80340.87268.16274.23187.870.2250.68219.71186.31145.25120.35298.850.2269.08186.25194.75279.40120.35240.306.- CASE337.54263.06353.28766.02662.260.460.990.300.63340.87263.060.4-45.95-6.26-41.09-62.70-61.49-11.850.4176.5875.21188.74194.54197.5861.240.4116.86153.54123.1915.502.15155.150.4133.4541.6049.49191.532.15155.231-230.40.12291.20109.20337.03360.86512.741.24-42.85-240.30114.39267.67419.560.350.87263.060.6-140.74-46.52-133.44-165.86-164.04-54.900.659.14-42.8659.14132.57132.57-42.860.65.5799.0371.71-91.71-93.5333.970.620.35-80.52-73.24115.31-93.5381.802-330.40.12563.20337.03465.09802.11887.491.42-187.87-298.85234.16621.89707.260.510.660.8-212.99-75.13-203.26-246.49-244.06-86.300.8-35.78-138.40-47.9482.2679.22-124.440.8-83.2056.1731.88-176.39-166.68-64.680.8-70.23-180.12-173.4450.74-166.6820.023-430.40.12563.20465.09337.03887.49802.111.58-298.85-187.87234.16707.26621.890.660.511-262.72-92.09-250.56-304.59-301.56-106.061.0-108.16-211.41-132.4843.5837.51-183.491.0-149.4324.953.70-238.55-217.30-140.801-138.27-257.18-251.11-2.19-217.30-30.114-530.40.12291.20337.03109.20512.74360.861.76-240.30-42.85114.39419.56267.670.870.351.2-289.92-97.41-275.33-340.17-336.52-114.161.2-158.02-261.90-194.5016.567.45-220.001.2-193.145.38-12.83-278.18-245.39-194.391.2-183.79-311.72-306.26-43.46-245.39-68.60STEEL RATIOS1.4-294.59-91.08-277.56-353.21-348.96-110.621.4-185.35-289.85-233.991.19-10.96-234.001.4-214.32-2.54-17.72-295.28-250.96-225.461.4-206.79-343.73-338.87-73.09-250.96-95.441.6-276.73-73.09-257.28-343.73-338.87-95.441.6-190.15-295.28-250.96-2.54-17.72-225.461.6-212.971.19-10.96-289.85-233.99-234.001.6-207.25-353.21-348.96-91.08-233.99-110.62-71.36-303.49295.56575.29753.860.320.63FOR255USEAs(-) = 7.23 - ( 52.20 - Mu * 100 / 4447.06 ) ^ ( 1/2 )1.8-236.35-43.46-214.46-311.72-306.26-68.601.8-172.42-278.18-245.395.38-12.83-194.391.8-189.1016.567.45-261.90-194.50-220.001.8-185.19-340.17-336.52-97.41-194.50-114.16-45.65-279.4097.42253.71433.520.370.99As(+) = 28.90 - ( 835.21 - Mu(+) * 100 / 1111.76 ) ^ ( 1/2 )2-173.44-2.19-149.12-257.18-251.11-30.112.0-132.17-238.55-217.3024.953.70-140.802.0-142.6943.5837.51-211.41-132.48-183.492-140.59-304.59-301.56-92.09-132.48-106.06-73.79-337.54279.37563.13766.020.320.682.2-88.0050.74-61.24-180.12-173.4420.022.2-69.38-176.39-166.6856.1731.88-64.682.2-73.7682.2679.22-138.40-47.94-124.442.2-73.47-246.49-244.06-75.13-47.94-86.30-62.99-186.25353.28617.17711.980.300.46STEEL (-)2.419.97115.3149.16-80.52-73.2481.802.415.93-91.71-93.5399.0371.7133.972.417.70132.57132.57-42.8659.14-42.862.416.18-165.86-164.04-46.5259.14-54.90-63.59-194.75348.99614.13715.020.300.482552.6150.47191.53182.0941.6049.49155.232.6123.7715.502.15153.54123.19155.152.6131.69194.54197.5875.21188.7461.242.6128.35-62.70-61.49-6.26188.74-11.85-42.85-240.30114.39267.67419.560.350.87As(-) =As min2.8303.49279.40337.54186.25194.75240.302.8254.13145.25120.35219.71186.31298.852.8268.20268.16274.23215.80340.87187.872.8263.0662.9963.5945.65340.8742.850.12cm20.560.56cm23479.04378.92515.53353.42362.53337.033.0407.03297.51261.09297.51261.09465.093.0427.24353.42362.53378.92515.53337.033420.29211.20211.20109.20515.53109.20-316.55-254.13191.08688.58640.570.720.630.56cm20.560.56cm23.2677.12490.08716.04543.13552.84445.403.2582.45472.31424.35386.97347.51653.853.2608.82450.33462.47564.58712.72508.723.2600.05381.94381.34184.40712.72187.20-215.80-145.25296.03691.71637.440.520.430.49cm20.560.56cm23.4897.73612.90939.08755.36765.68565.423.4780.40669.64610.14488.08445.58865.143.4812.92558.89574.07772.75932.43702.933.4802.34575.21574.00271.25932.43276.84-340.87-120.35251.68749.39579.760.710.400.56cm20.560.56cm23.61140.87747.361184.65990.121001.05697.093.61000.88889.49818.45600.83555.291098.953.61039.54679.10697.311003.461174.68919.673.61027.15791.01789.19369.751174.68378.13p148q148-268.16-219.712.73362.25324.981.001.000.43cm20.560.56cm23.81406.53893.471452.741247.411258.95840.413.81243.891131.871049.30725.23676.661355.303.81288.70810.95832.201256.701439.451158.943.81274.501029.341026.91479.901439.45491.07p155q155-274.23-186.3117.76377.43309.801.001.00STEEL (+)41694.721051.231743.371527.231539.37995.374.01509.421396.781302.67861.28809.671634.174.01560.38954.45978.741532.461726.751420.7441544.371290.191287.16601.691726.75615.66-187.9-298.9234.2621.9707.30.50.72554.22005.441220.632056.521829.581842.331161.984.21854.601109.601136.931830.752036.571705.074.21836.771573.571569.93735.142036.57751.89As(+) =4.42338.691401.682392.202154.452167.811340.244.42171.341276.401306.762151.572368.932011.924.42151.701879.481875.24880.232368.93899.78-250.7-268.2216.5657.8671.30.60.60.46cm20.560.56cm24.62694.471594.392750.412501.852515.821530.154.62510.601454.851488.242494.922723.812341.314.62489.152207.922203.071036.972723.811059.31-219.7-268.22.7325.0362.31.31.40.36cm20.560.56cm24.83072.771798.733131.152871.782886.351731.714.82872.401644.951681.382860.793101.222693.224.82849.142558.892553.431205.353101.221230.49-186.3-274.217.8309.8377.41.01.30.36cm20.560.56cm253473.612014.733534.413264.243279.421944.9153231.652932.382926.311385.393501.161413.31-145.2-215.8296.0637.4691.70.40.50.46cm20.560.56cm25.25.23636.693328.413321.731577.073923.631607.79-120.4-340.9251.7579.8749.40.40.7-298.9-187.9234.2707.3621.90.70.5LONGITUD OF DEVELOPMENT OF THE REINFORCEMENT SUBJECTcm3333al ejecma-269.08-263.06209.84666.89662.260.640.63XiXddbLcolumnd12dbL / 16LiLd-186.25-62.99353.28711.98617.170.460.30-194.75-63.59348.99715.02614.130.480.300.371.293.000.400.20.120.15480.1610.160.340.35-279.40-45.6597.42433.52253.710.990.370.990.20.120.15480.160.160.950.95-337.54-73.79279.37766.02563.130.680.321.001.293.000.400.20.120.15480.1620.160.961.00-240.30-42.85114.39419.56267.670.870.351.000.20.120.15480.160.160.961.001.301.293.000.400.20.120.15480.1630.161.261.301.430.20.120.15480.160.161.391.400.991.293.000.400.20.120.15480.1640.160.950.950.630.20.120.15480.160.160.600.60555

&A