Interaction DiagramInteraction Diagram

As per the results of Etabs most of the columns exibit same reinforcement.8#8Therefore only one interaction Diagram is needed and is developed as follows

Columnb =24inh =24inAs'd =21.25inAs =2.37sq.in(3#8)d' =2.75inAs"As' =2.37sq.in(3#8)d" =12inAs" =1.58sq.in(2#8)As

fc' =4ksify =60ksiAg =576sq.incafsfs'fs"CcTsTs'Ts"PnMnPn/fc'AgMn/fc'Aghininksiksiksikipskipskipskipskipskips.ftksiksi0.10.08560.0-60.060.06.94142.2-142.294.8-182.66-0.07930.20.17060.0-60.060.013.87142.2-142.294.8-175.73-0.07630.30.25560.0-60.060.020.81142.2-142.294.8-168.79-0.07330.40.34060.0-60.060.027.74142.2-142.294.8-161.86-0.07030.50.42560.0-60.060.034.68142.2-142.294.8-154.92-0.06720.60.51060.0-60.060.041.62142.2-142.294.8-147.98-0.06420.70.59560.0-60.060.048.55142.2-142.294.8-141.05-0.06120.80.68060.0-60.060.055.49142.2-142.294.8-134.11-0.05820.90.76560.0-60.060.062.42142.2-142.294.8-127.18-0.055210.85060.0-60.060.069.36142.2-142.294.8-120.24-0.05221.10.93560.0-60.060.076.30142.2-142.294.8-113.30-0.04921.21.02060.0-60.060.083.23142.2-142.294.8-106.37-0.04621.31.10560.0-60.060.090.17142.2-142.294.8-99.43-0.04321.41.19060.0-60.060.097.10142.2-142.294.8-92.50-0.04011.51.27560.0-60.060.0104.04142.2-142.294.8-85.56-0.03711.61.36060.0-60.060.0110.98142.2-142.294.8-78.62-0.03411.71.44560.0-53.760.0117.91142.2-127.494.8-56.84-0.02471.81.53060.0-45.960.0124.85142.2-108.894.8-31.37-0.01361.91.61560.0-38.960.0131.78142.2-92.294.8-7.86-0.003421.70060.0-32.660.0138.72142.2-77.394.814.000.00612.11.78560.0-26.960.0145.66142.2-63.894.834.440.01492.21.87060.0-21.860.0152.59142.2-51.594.853.640.02332.31.95560.0-17.060.0159.53142.2-40.394.871.790.03122.42.04060.0-12.760.0166.46142.2-30.194.888.990.03862.52.12560.0-8.760.0173.40142.2-20.694.8105.380.04572.62.21060.0-5.060.0180.34142.2-11.994.8121.040.05252.72.29560.0-1.660.0187.27142.2-3.894.8136.050.05912.82.38060.01.660.0194.21142.23.794.8150.490.06532.92.46560.04.560.0201.14142.210.794.8164.410.071432.55060.07.360.0208.08142.217.294.8177.860.07723.12.63560.09.860.0215.02142.223.394.8190.900.08293.22.72060.012.260.0221.95142.229.094.8203.550.08833.32.80560.014.560.0228.89142.234.494.8215.850.09373.42.89060.016.660.0235.82142.239.494.8227.840.09893.52.97560.018.660.0242.76142.244.294.8239.540.10403.63.06060.020.560.0249.70142.248.794.8250.980.10893.73.14560.022.360.0256.63142.252.994.8262.170.11383.83.23060.024.060.0263.57142.257.094.8273.140.11863.93.31560.025.760.0270.50142.260.894.8283.900.123243.40060.027.260.0277.44142.264.494.8294.470.12784.13.48560.028.660.0284.38142.267.994.8304.870.13234.23.57060.030.060.0291.31142.271.294.8315.100.13684.33.65560.031.460.0298.25142.274.394.8325.170.14114.43.74060.032.660.0305.18142.277.394.8335.110.14544.53.82560.033.860.0312.12142.280.294.8344.910.14974.63.91060.035.060.0319.06142.282.994.8354.580.15394.73.99560.036.160.0325.99142.285.594.8364.140.15804.84.08060.037.260.0332.93142.288.194.8373.590.16214.94.16560.038.260.0339.86142.290.594.8382.940.166254.25060.039.260.0346.80142.292.894.8392.190.17025.14.33560.040.160.0353.74142.295.094.8401.350.17425.24.42060.041.060.0360.67142.297.194.8410.420.17815.34.50560.041.960.0367.61142.299.294.8419.410.18205.44.59060.042.760.0374.54142.2101.294.8428.330.18595.54.67560.043.560.0381.48142.2103.194.8437.180.18975.64.76060.044.360.0388.42142.2104.994.8445.950.19365.74.84560.045.060.0395.35142.2106.794.8454.660.19735.84.93060.045.860.0402.29142.2108.494.8463.320.20115.95.01560.046.460.0409.22142.2110.194.8471.910.204865.10060.047.160.0416.16142.2111.794.8480.450.20856.15.18560.047.860.0423.10142.2113.294.8488.930.21226.25.27060.048.460.0430.03142.2114.794.8497.370.21596.35.35560.049.060.0436.97142.2116.294.8505.750.21956.45.44060.049.660.0443.90142.2117.694.8514.100.22316.55.52560.050.260.0450.84142.2119.094.8522.400.22676.65.61060.050.860.0457.78142.2120.394.8530.650.23036.75.69560.051.360.0464.71142.2121.694.8538.870.23396.85.78060.051.860.0471.65142.2122.894.8547.050.23746.95.86560.052.360.0478.58142.2124.094.8555.200.241075.95060.052.860.0485.52142.2125.294.8563.310.24457.16.03560.053.360.0492.46142.2126.394.8571.380.24807.26.12060.053.858.0499.39142.2127.491.6576.270.25017.36.20560.054.256.0506.33142.2128.588.5581.150.25227.46.29060.054.754.1513.26142.2129.685.4586.080.25447.56.37560.055.152.2520.20142.2130.682.5591.060.25657.66.46060.055.550.4527.14142.2131.679.6596.100.25877.76.54560.055.948.6534.07142.2132.676.8601.190.26097.86.63060.056.346.8541.01142.2133.574.0606.320.26327.96.71560.056.745.2547.94142.2134.471.3611.500.265486.80060.057.143.5554.88142.2135.368.7616.720.26778.16.88560.057.541.9561.82142.2136.266.2621.990.27008.26.97060.057.840.3568.75142.2137.063.7627.290.27238.37.05560.058.238.8575.69142.2137.961.3632.640.27468.47.14060.058.537.3582.62142.2138.758.9638.020.27698.57.22560.058.935.8589.56142.2139.556.6643.440.27938.67.31060.059.234.4596.50142.2140.354.3648.900.28168.77.39560.059.533.0603.43142.2141.052.1654.390.28408.87.48060.059.831.6610.37142.2141.850.0659.910.28648.97.56560.060.030.3617.30142.2142.247.9665.180.288797.65060.060.029.0624.24142.2142.245.8670.060.29089.17.73560.060.027.7631.18142.2142.243.8674.980.29309.27.82060.060.026.5638.11142.2142.241.8679.950.29519.37.90560.060.025.3645.05142.2142.239.9684.960.29739.47.99060.060.024.1651.98142.2142.238.0690.000.29959.58.07560.060.022.9658.92142.2142.236.2695.090.30179.68.16060.060.021.8665.86142.2142.234.4700.220.30399.78.24560.060.020.6672.79142.2142.232.6705.390.30629.88.33060.060.019.5679.73142.2142.230.9710.590.30849.98.41560.060.018.5686.66142.2142.229.2715.820.3107108.50060.060.017.4693.60142.2142.227.5721.090.313010.18.58560.060.016.4700.54142.2142.225.9726.390.315310.28.67060.060.015.4707.47142.2142.224.3731.730.317610.38.75560.060.014.4714.41142.2142.222.7737.100.319910.48.84060.060.013.4721.34142.2142.221.1742.490.322310.58.92560.060.012.4728.28142.2142.219.6747.920.324610.69.01060.060.011.5735.22142.2142.218.2753.370.327010.79.09560.060.010.6742.15142.2142.216.7758.850.329410.89.18060.060.09.7749.09142.2142.215.3764.360.331810.99.26560.060.08.8756.02142.2142.213.9769.900.3342119.35060.060.07.9762.96142.2142.212.5775.460.336611.19.43560.060.07.1769.90142.2142.211.1781.040.339011.29.52060.060.06.2776.83142.2142.29.8786.650.341411.39.60560.060.05.4783.77142.2142.28.5792.280.343911.49.69060.060.04.6790.70142.2142.27.2797.940.346311.59.77560.060.03.8797.64142.2142.26.0803.620.348811.69.86060.060.03.0804.58142.2142.24.7809.320.351311.79.94560.060.02.2811.51142.2142.23.5815.040.353711.810.03060.060.01.5818.45142.2142.22.3820.780.356211.910.11560.060.00.7825.38142.2142.21.2826.540.35871210.20060.060.00.0832.32142.2142.20.0832.320.361312.110.28560.060.0-0.7839.26142.2142.2-1.1838.120.363812.210.37060.060.0-1.4846.19142.2142.2-2.3843.940.366312.310.45560.060.0-2.1853.13142.2142.2-3.4849.780.368812.410.54060.060.0-2.8860.06142.2142.2-4.4855.630.371412.510.62560.060.0-3.5867.00142.2142.2-5.5861.500.373912.610.71059.760.0-4.1873.94141.6142.2-6.5868.040.376812.710.79558.660.0-4.8880.87138.8142.2-7.6876.680.380512.810.88057.460.0-5.4887.81136.1142.2-8.6885.300.384212.910.96556.360.0-6.1894.74133.5142.2-9.6893.890.38801311.05055.260.0-6.7901.68130.9142.2-10.6902.450.391713.111.13554.160.0-7.3908.62128.3142.2-11.5911.000.395413.211.22053.160.0-7.9915.55125.7142.2-12.5919.510.399113.311.30552.060.0-8.5922.49123.2142.2-13.4928.000.402813.411.39051.060.0-9.1929.42120.8142.2-14.4936.470.406513.511.47549.960.0-9.7936.36118.4142.2-15.3944.920.410113.611.56048.960.0-10.2943.30116.0142.2-16.2953.340.413813.711.64547.960.0-10.8950.23113.6142.2-17.1961.740.417413.811.73047.060.0-11.3957.17111.3142.2-17.9970.130.421113.911.81546.060.0-11.9964.10109.0142.2-18.8978.490.42471411.90045.160.0-12.4971.04106.8142.2-19.6986.830.428314.111.98544.160.0-13.0977.98104.6142.2-20.5995.150.431914.212.07043.260.0-13.5984.91102.4142.2-21.31003.450.435514.312.15542.360.0-14.0991.85100.2142.2-22.11011.730.439114.412.24041.460.0-14.5998.7898.1142.2-22.91019.990.442714.512.32540.560.0-15.01005.7296.0142.2-23.71028.240.446314.612.41039.660.0-15.51012.6693.9142.2-24.51036.460.449914.712.49538.860.0-16.01019.5991.9142.2-25.21044.670.453414.812.58037.960.0-16.51026.5389.9142.2-26.01052.860.457014.912.66537.160.0-16.91033.4687.9142.2-26.81061.040.46051512.75036.360.0-17.41040.4085.9142.2-27.51069.200.464115.112.83535.460.0-17.91047.3484.0142.2-28.21077.340.467615.212.92034.660.0-18.31054.2782.1142.2-28.91085.460.471115.313.00533.860.0-18.81061.2180.2142.2-29.61093.570.474615.413.09033.060.0-19.21068.1478.3142.2-30.31101.670.478215.513.17532.360.0-19.61075.0876.5142.2-31.01109.750.481715.613.26031.560.0-20.11082.0274.7142.2-31.71117.820.485215.713.34530.860.0-20.51088.9572.9142.2-32.41125.870.488715.813.43030.060.0-20.91095.8971.1142.2-33.11133.910.492115.913.51529.360.0-21.31102.8269.4142.2-33.71141.930.49561613.60028.560.0-21.81109.7667.7142.2-34.41149.940.499116.113.68527.860.0-22.21116.7066.0142.2-35.01157.940.502616.213.77027.160.0-22.61123.6364.3142.2-35.61165.920.506016.313.85526.460.0-23.01130.5762.6142.2-36.31173.890.509516.413.94025.760.0-23.31137.5061.0142.2-36.91181.850.513016.514.02525.060.0-23.71144.4459.4142.2-37.51189.790.516416.614.11024.460.0-24.11151.3857.8142.2-38.11197.730.519816.714.19523.760.0-24.51158.3156.2142.2-38.71205.650.523316.814.28023.060.0-24.91165.2554.6142.2-39.31213.560.526716.914.36522.460.0-25.21172.1853.1142.2-39.91221.460.53011714.45021.860.0-25.61179.1251.5142.2-40.41229.340.533617.114.53521.160.0-25.91186.0650.0142.2-41.01237.220.537017.214.62020.560.0-26.31192.9948.6142.2-41.61245.080.540417.314.70519.960.0-26.71199.9347.1142.2-42.11252.940.543817.414.79019.360.0-27.01206.8645.6142.2-42.71260.780.547217.514.87518.660.0-27.31213.8044.2142.2-43.21268.610.550617.614.96018.060.0-27.71220.7442.8142.2-43.71276.440.554017.715.04517.460.0-28.01227.6741.4142.2-44.31284.250.557417.815.13016.960.0-28.31234.6140.0142.2-44.81292.050.560817.915.21516.360.0-28.71241.5438.6142.2-45.31299.850.56421815.30015.760.0-29.01248.4837.2142.2-45.81307.630.567518.115.38515.160.0-29.31255.4235.9142.2-46.31315.410.570918.215.47014.660.0-29.61262.3534.6142.2-46.81323.170.574318.315.55514.060.0-30.01269.2933.2142.2-47.31330.930.577718.415.64013.560.0-30.31276.2231.9142.2-47.81338.670.581018.515.72512.960.0-30.61283.1630.6142.2-48.31346.410.584418.615.81012.460.0-30.91290.1029.4142.2-48.81354.140.587718.715.89511.960.0-31.21297.0328.1142.2-49.31361.860.591118.815.98011.360.0-31.51303.9726.9142.2-49.71369.580.594418.916.06510.860.0-31.81310.9025.6142.2-50.21377.280.59781916.15010.360.0-32.11317.8424.4142.2-50.61384.980.601119.116.2359.860.0-32.31324.7823.2142.2-51.11392.670.604519.216.3209.360.0-32.61331.7122.0142.2-51.51400.350.607819.316.4058.860.0-32.91338.6520.8142.2-52.01408.020.611119.416.4908.360.0-33.21345.5819.7142.2-52.41415.690.614419.516.5757.860.0-33.51352.5218.5142.2-52.91423.350.617819.616.6607.360.0-33.71359.4617.4142.2-53.31431.000.621119.716.7456.860.0-34.01366.3916.2142.2-53.71438.640.624419.816.8306.460.0-34.31373.3315.1142.2-54.21446.280.627719.916.9155.960.0-34.51380.2614.0142.2-54.61453.910.63102017.0005.460.0-34.81387.2012.9142.2-55.01461.530.634320.117.0855.060.0-35.11394.1411.8142.2-55.41469.140.637620.217.1704.560.0-35.31401.0710.7142.2-55.81476.750.641020.317.2554.160.0-35.61408.019.6142.2-56.21484.360.644320.417.3403.660.0-35.81414.948.6142.2-56.61491.950.647520.517.4253.260.0-36.11421.887.5142.2-57.01499.540.650820.617.5102.760.0-36.31428.826.5142.2-57.41507.120.654120.717.5952.360.0-36.61435.755.5142.2-57.81514.700.657420.817.6801.960.0-36.81442.694.5142.2-58.21522.270.660720.917.7651.560.0-37.01449.623.5142.2-58.51529.840.66402117.8501.060.0-37.31456.562.5142.2-58.91537.390.667321.117.9350.660.0-37.51463.501.5142.2-59.31544.950.670521.218.0200.260.0-37.81470.430.5142.2-59.71552.490.6738

Sheet1COLUMN 1 CENTRE FIRST STOREYJoint 1 CENTRE FIRST STOREYCOLUMNBEAMMpr+ =390kipftb =24inb =20inMpr- =559kipfth =24inh =24inVcol =79.0833333333kipd =h -1.5 - 0.5 - 0.5 d =h -1.5- 0.5 - 0.521.5in21.5inAs+ =3.16sq.infc' =4000psiAs- =4.74sq.infy =60000psifys =60000psiT1 =237kipT2 =355.5kipHeight =12ftClear Height, hn =10.5ftVu =513.4166666667kip

LONGITUDINAL REINFORCMENTFaces4Area Steel Required (ETABS)Area Steel ProvidedAsreq =17.984sq.inBar # =83#30.11Num. =24bars4#40.2Aspro =18.96sq.in6#60.44Final Selection =24 #88#80.79

GENERAL REQUIRMENTS CHECKS

Pu =1205kips(from upper story)Pu =1454kips(from current story)

1205 kips

458.888888888889 = kip.ft318.888888888889 = kip.ft3#30.114#40.21454 kips6#60.448#80.79a) Provisions for Axial CasePu Ag fc' /10

1454kips=>230.4kips(O.K)

b) Relative Capacity CheckMnc 1.2" Mnb

for Upper Columnfor Lower Column = 0.033 = 0.033 = 0.79 = 0.79Pu/fc'Ag =0.5230psiPu/fc'Ag =0.6311psiMn/fc'Agh =0.1000psiMn/fc'Agh =0.1100psiMnc =460.8kip.ftMnc =506.88kip.ft

for Beam

LEFT SIDE OF COLUMNRIGHT OF COLUMNMn413kip.ftMn287kip.ftMnb =458.9kip.ftMnb =318.9kip.ft

Mnc 1.2" Mnb

967.7kip.ft=>933.3kip.ft(O.K)

c) Proportioning Requirement

cmin 12"24.0in=>12.0in(O.K)b/h 0.41.0=>0.4(O.K)

TRANSVERSE REINFORCMENT{hb=24inlo =larger ofhn/6=21.0in18"=18inlo =24in{hc/4=6.0ins =smaller of6db (Long. Bar)=6.0inso=6.0in4" so 6"s =6inhx (in) =0{=1.281sq.inAsh =larger of=0.693sq.in

bc = 19.25Ash =1.281sq.in/ftBar # =63#30.11Legs =44#40.2Av =1.76sq.in6#60.44

FINAL COLUMN SECTION24 #8

#6@6''C/C