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DL 4.5 kn/m f'c 21.5 LL 8 kn/m fy 275 a 1.2 Wu = 18.2 b = L-2a 6 L 8.4 p bal 0.038733506494 By 76.44 p 0.023240103896 Cy 76.44 p min 0.005090909091 p max 0.02905012987 Distance from left end of beam (m) x x-a x-a-b R1 0 -1.2 -7.2 0 0.168 0.168 -1.032 -7.032 0 0.168 0.336 -0.864 -6.864 0 0.168 0.504 -0.696 -6.696 0 0.168 0.672 -0.528 -6.528 0 0.168 0.84 -0.36 -6.36 0 0.168 1.008 -0.192 -6.192 0 0.168 1.176 -0.024 -6.024 0 0.168 1.344 0.144 -5.856 76.44 0.168 1.512 0.312 -5.688 76.44 0.168 1.68 0.48 -5.52 76.44 0.168 1.848 0.648 -5.352 76.44 0.168 2.016 0.816 -5.184 76.44 0.168 2.184 0.984 -5.016 76.44 0.168 2.352 1.152 -4.848 76.44 0.168 2.52 1.32 -4.68 76.44 0.168 2.688 1.488 -4.512 76.44 0.168 2.856 1.656 -4.344 76.44 0.168 3.024 1.824 -4.176 76.44 0.168 3.192 1.992 -4.008 76.44 0.168 3.36 2.16 -3.84 76.44 0.168 3.528 2.328 -3.672 76.44 0.168 3.696 2.496 -3.504 76.44 0.168 3.864 2.664 -3.336 76.44 0.168 4.032 2.832 -3.168 76.44
17

Workout No.1 (Single Reinforced Beam)

Dec 16, 2015

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Sheet1DL4.5kn/mf'c21.5LL8kn/mfy275a1.2Wu = 18.218.82 kn/mb = L-2a6L8.41.2 m6 m1.2 m

76.4476.44p bal0.0387335065By76.44p 0.0232401039Cy76.44p min0.0050909091p max0.0290501299

Distance from left end of beam (m)Shear (KN)Moment (Kn-m)xx-ax-a-bR1R2VM0-1.2-7.200000.1680.168-1.032-7.03200-3.0576-0.25683840.1680.336-0.864-6.86400-6.1152-1.02735360.1680.504-0.696-6.69600-9.1728-2.31154560.1680.672-0.528-6.52800-12.2304-4.10941440.1680.84-0.36-6.3600-15.288-6.420960.1681.008-0.192-6.19200-18.3456-9.24618240.1681.176-0.024-6.02400-21.4032-12.58508160.1681.3440.144-5.85676.44051.9792-5.4302976SHEAR DIAGRAM0.1681.5120.312-5.68876.44048.92163.04536960.1681.680.48-5.5276.44045.86411.007360.1681.8480.648-5.35276.44042.806418.45567360.1682.0160.816-5.18476.44039.748825.39031040.1682.1840.984-5.01676.44036.691231.81127040.1682.3521.152-4.84876.44033.633637.71855360.1682.521.32-4.6876.44030.57643.112160.1682.6881.488-4.51276.44027.518447.99208960.1682.8561.656-4.34476.44024.460852.35834240.1683.0241.824-4.17676.44021.403256.21091840.1683.1921.992-4.00876.44018.345659.54981760.1683.362.16-3.8476.44015.28862.375040.1683.5282.328-3.67276.44012.230464.68658560.1683.6962.496-3.50476.4409.172866.48445440.1683.8642.664-3.33676.4406.115267.76864640.1684.0322.832-3.16876.4403.057668.53916160.1684.23-376.440-068.7960.1684.3683.168-2.83276.440-3.057668.53916160.1684.5363.336-2.66476.440-6.115267.76864640.1684.7043.504-2.49676.440-9.172866.4844544MOMENT DIAGRAM0.1684.8723.672-2.32876.440-12.230464.68658560.1685.043.84-2.1676.440-15.28862.375040.1685.2084.008-1.99276.440-18.345659.54981760.1685.3764.176-1.82476.440-21.403256.21091840.1685.5444.344-1.65676.440-24.460852.35834240.1685.7124.512-1.48876.440-27.518447.99208960.1685.884.68-1.3276.440-30.57643.112160.1686.0484.848-1.15276.440-33.633637.71855360.1686.2165.016-0.98476.440-36.691231.81127040.1686.3845.184-0.81676.440-39.748825.39031040.1686.5525.352-0.64876.440-42.806418.45567360.1686.725.52-0.4876.440-45.86411.007360.1686.8885.688-0.31276.440-48.92163.04536960.1687.0565.856-0.14476.440-51.9792-5.43029760.1687.2246.0240.02476.4476.4421.4032-12.58508160.1687.3926.1920.19276.4476.4418.3456-9.24618240.1687.566.360.3676.4476.4415.288-6.420960.1687.7286.5280.52876.4476.4412.2304-4.10941440.1687.8966.6960.69676.4476.449.1728-2.31154560.1688.0646.8640.86476.4476.446.1152-1.02735360.1688.2327.0321.03276.4476.443.0576-0.25683840.1688.47.21.276.4476.44000.1680.1680.1680.3360.1680.5040.1680.6720.1680.840.1681.0080.1681.1760.1681.3440.1681.5120.1681.680.1681.8480.1682.0160.1682.1840.1682.3520.1682.520.1682.688Distance from left support (m)Shear (KN)Moment (Kn-m)xVM0116.18880.1114.36880.2112.54880.3110.72880.4108.90880.5107.08880.6105.26880.7103.44880.8101.62880.999.8088197.98881.196.16881.294.34881.392.52881.490.70881.588.88881.687.06881.785.24881.883.42881.981.6088279.78882.177.96882.276.14882.374.32882.472.50882.570.68882.668.86882.767.04882.865.22882.963.4088361.58883.159.76883.257.94883.356.12883.454.30883.552.48883.650.66883.748.84883.847.02883.945.2088443.38884.141.56884.239.74884.337.92884.436.10884.534.28884.632.46884.730.64884.828.82884.927.0088525.18885.123.36885.221.54885.319.72885.417.90885.516.08885.614.26885.712.44885.810.62885.98.808866.9888Distance from right support (m)Shear (KN)Moment (Kn-m)xVM083.42880.181.60880.279.78880.377.96880.476.14880.574.32880.672.50880.770.68880.868.86880.967.0488165.22881.163.40881.261.5888

Sheet2Item typeSymbol/ Designation

Steel barNumber of bottom bars required4

Sheet3