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Sheet1DESIGN CALCULATIONSREFERENCES /REMARKSWalkway - Main BeamGrade of Structural steel=43ADesign strength of steel, py=275.0N/mm2Tb.6, BS:5950, part-1Length of Beam=4.000mSpacing of beams, s=1.00mBending Moment co-efficient for Vertical bending=8(8 for Simply Supported)UDL Deflection co-efficient=5(5 for Simply Supported)Deflection Factor(span / deflection ratio)=300Table:5,BS 5950,p-1LoadsUDLGrating0.217kN/m^2Dead loads on floor, ws=1.00kN/m2Sec.4.1 & 4.2 ofhand rail(0.38*6+0.26*2)/11.267/0.60.4141889293kN/m^2Imposed loads on floor, wi=10.00kN/m2this document.Construction loads (temporary), wc=0kN/m2Cl.2.2.3,BS 5950,p-4Deck profile self wt per metre, wp=0kN/m2Beam self wt per metre, wb=1.01kN/mPOINT LOADSPi (i = 1,2,3,4)aMoment value hereUnfactored1x2ReactionsR1 = 20.00 kN (Live)R2 = 20.00 kN (Live)4.03 kN (Dead)4.03 kN (Dead)alpha0.000.000.000.000.000.000.00P1P2P3P4P5P6P7x ratio at l/20.50.50.50.50.50.50.5Dead Load (kN)0.0000.0000.0000.0000.0000.0000.000Mid Span Deflection1234567Live Load (kN)0.0000.0000.0000.0000.0000.0000.000When l/2 > a0.000.000.000.000.000.000.00Due to total loadDistance a from support 1 (m)0.0000.0000.0000.0000.0000.0000.000When l/2 < a0.000.000.000.000.000.000.00Ult. Moment beneath load due to P1(kNm)0.000.000.000.000.000.000.00When l/2 > a0.000.000.000.000.000.000.00due to dead loadUlt. Moment beneath load due to P2(kNm)0.000.000.000.000.000.000.00When l/2 < a0.000.000.000.000.000.000.00Ult. Moment beneath load due to P3 (kNm)0.000.000.000.000.000.000.00Ult. Moment beneath load due to P4 (kNm)0.000.000.000.000.000.000.00Mid Span Ult. Moment1234567Ult. Moment beneath load due to P5 (kNm)0.000.000.000.000.000.000.00When l/2 > a0.000.000.000.000.000.000.00Ult. Moment beneath load due to P6 (kNm)0.000.000.000.000.000.000.00When l/2 < a0.000.000.000.000.000.000.00Ult. Moment beneath load due to P7 (kNm)0.000.000.000.000.000.000.00Ult. Moment at Mid-Span due to load (kNm)0.000.000.000.000.000.000.00Deflection at Mid-Span due to Total Point Load(mm)0.000.000.000.000.000.000.00Deflection at Mid-Span due to Dead Point Load (mm)0.000.000.000.000.000.000.00Deflection at Mid-Span due to Live Point Load (mm)0.000.000.000.000.000.000.00Shear Due to Point (Dead) Loadx < a (on the left of point load)Unfactored Shear (kN)0.000.000.000.000.000.000.00x > a (on the right of point load)Unfactored Shear (kN)0.000.000.000.000.000.000.00x < a (on the left of point load)Ult. Shear (kN)0.000.000.000.000.000.000.00x > a (on the right of point load)Ult. Shear (kN)0.000.000.000.000.000.000.00Shear Due to Point (Live) Loadx < a (on the left of point load)Unfactored Shear (kN)0.000.000.000.000.000.000.00x > a (on the right of point load)Unfactored Shear (kN)0.000.000.000.000.000.000.00x < a (on the left of point load)Ult. Shear (kN)0.000.000.000.000.000.000.00x > a (on the right of point load)Ult. Shear (kN)0.000.000.000.000.000.000.00DESIGNAssume the section as=UB 533 x 210 x 10150a) Sectional propertiesDepth of the section, D=536.7mmWidth of the section, B=210.1mmThickness of web, t=10.9mmThickness of flange, T=17.4mmEffective depth of web, d=476.5mmSecond moment of inertia, Ixx=617000000mm4Second moment of inertia, Iyy=26900000mm4rmin=45.60mmSection modulus, Zxx=2300000mm3Section modulus, Zyy=257000mm3Plastic modulus, Sxx=2620000mm3Plastic modulus, Syy=400000mm3Buckling parameter, u=0.874Torsional index, x=33.1Torsional constant, J=1020000mm4Sectional Area, A=12900mm2Out stand width of panel, b=105.1mmConstant, e, = sqrt(275/py)=1Outstand element of compression flange, b/T=6.04PlasticCl.3.5.2 and Table:7Web slenderness, d/t=43.72Plasticof BS 5950:part1b) DesignLoading factor gd, for dead load=1.4Table:2,BS 5950, p-1Loading factor gl, for live load=1.6Dead load per meter, wd = ws*s + wb (from UDL only)=2.014kN/mLive load per meter, wl = wi*s (from UDL only)=10.000kN/mTotal working load, (wd+wl) (from UDL only)=12.014kN/mUltimate load, (gd*wd + gl* wl) (from UDL only)=18.820kN/mMoment fr. UDL plus Moment fr. Point LoadsPoint Load PositionPosition1234567MidUltimate Moment Due To UDL only (kNm)0.000.000.000.000.000.000.0037.64Total Ult. Moment (UDL+all Point Load)0.000.000.000.000.000.000.0037.64MomentUltimate major axis moment, Mux=37.64kN.mShearUltimate shear force, Fv=37.64kNb.1) Shear capacityShear area parallel to the web, Avx=t*D=5850.03mm2Cl.4.2.3,BS 5950,p-1Shear Capacity, Pvx=0.6*py*Avx=965.25495kNSatisfactory>37.64kNWeb slenderness, d/t=43.72Cl.4.2.3,BS 5950,p-137.64kN = FvCl.4.2.5,BS 5950,p-1b.2.b)Since the section is -Plastic:Mcx' =py*SxxCl.4.2.5,BS 5950,p-1=720.50kN.mb.2.c)However Mcx' shall be limited to' fox*py*Zxx 'Cl.4.2.5,BS 5950,p-1fox=Elastic limitation factorsCl.4.2.5,BS 5950,p-1=1.2 (if shape factor is less than orequal to 1.2)=factored load/unfactored load (if shapefactor is more than 1.2)Shape factor = Sxx / Zxx=1.139