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Currency [0]/Explanatory TextG5Explanatory Text % 0Good;Good  a%1 Heading 1G Heading 1 I}%O2 Heading 2G Heading 2 I}%?3 Heading 3G Heading 3 I}%234 Heading 49 Heading 4 I}% 5InputuInput ̙ ??v% 6 Linked CellK Linked Cell }% 7NeutralANeutral  e%3Normal % 8Noteb Note   9OutputwOutput  ???%????????? ???:$Percent ;Title1Title I}% <TotalMTotal %OO= Warning Text? Warning Text %XTableStyleMedium9PivotStyleLight16`HBSheet1}Sheet2Sheet3  ;K gZR@3 A@@  % oO,DESIGN OF STAIR CASE SPANNING LONGITUDINALLY'(Limit State Method as per IS 456-2000) Name of Work:Rise of the Step (Rise)Tread of the Step (Tread)Width of the Step (Width)Span Length (L3)Span Length (L1)Span Length (L2)mmmkN/m2kN/mGrade of Concrete (M)Grade of Steel (Fe)Detailed Design of StairsADead weight of Waist Slab on inclined area (Dlws) = Wst x 0.025=Dwsteps+Live Load on the Stair Case (as per IS 875)7Finishes Load on the Stair Case (if any) (Fin. Load =Live Load (Lload)Finishes Load (Finload)Railing Load (Raiload)@Loading on Spans L1 and or L3 per metre run (Landing Portion) :1Loading on Span L2 per metre run (Flight Portion);Wl2 = ((Dlwsh+Dwsteps+Lload+Finload)xwidth + Raiload)/widthLoading Details on Stairs:RaRbReactions Ra and RbAB$Taking moments of all forces about BkNRb =IMaximum BM Occurs at the point 'x' where SF is Zero or Changes its sign.Point of Maximum Moment = Reaction at the support A Ra x 4.8 =kNmMax BM: Factored BM =4Required Effective Depth from Bending Point of View: d (reqd) = Mu limit =Effective Cover#Required percentage of steel (pt) =%Area of Steel Required = 12# @mm c/c Provide 8# @ @Provide 8 mm minimum distribution steel @ 0.12% of gross area =Provide an overall depth of 'Modification Factor for Tensile steel =!Actual Span to effective depth = Hence$Allowable Span to effective depth = %However Provide an Effective depth ofHowever provided steel = %Ast prov =^Assuming the waist slab thickness approximately as 35-40 mm for every metre longitudinal span.Ast Provided =fck bd2Dlws =6Dead weight of Waist slab on Horizontal area (Dlwsh) =-4Factor Mu/bd2 =  #Dlws x SQRT(Rise2 + Tread2)/Tread =mm2GDead Weight of Steps (Dwsteps) = 0.5 x Rise x Conc Density = <Waist Slab thickness = (Wst) = (L1+L2+L3)x40 = Span L1JLength from Beam to the Start of the Flight (this length can be even 0 m)Span L2>Horizontal Length of the Flight Portion (length cannot be 0m)Span L3KLength from End of the Flight to the Midlanding Beam (this length can be 0)xxxR{8 ]99d:r;h<2J=>-?@)ccB  EIGTeh  dMbP?_*+%$ &(\?'RQ?(?)?M"HP LaserJet P1007D dXXHP LaserJet P1007  ld'4@ @ dd@ " [XX333333?333333?&<3cǞU} $ >E  @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ \\\\\\\\\\ ?? ]]]]]]? ^_ `Naaaabcdddde Z ZZ~ @b@ ? Z ZZ~ @r@ ? Z ZZ~ @? ? Z ZZ~ @R@ ? Z ZZ~ @`x@ ? Z ZZ~ @@f@ ? Z ZZ~ @@ ? Z ZZ~ @? ? >~ @? ? [. [[~ A:@ ? Z ZZ~ A9@? B BB~ Ay@? ^^^CCCCCC f>fffffffffffffff ZGZZZZZ,?p@DD D ( ? > >A1>؞BD@ x 0.025 = BP256 x 0.025 = %?@?D? ? >B >DN?C8Dx SQRT(D^2 +D^2)/(D) =BP"6.4x SQRT(150^2 +300^2)/(300) =B?Q@,DDDDDADA ? >F ?? ? D:>$0.5 x D x 25 / 1000 =BP0.5 x 150 x 25 / 1000 =3???DA ? > DE@D  ? >E?D  ? > ??uFF_)Wl1 = Wl3 = (Dlws + Lload + Finload) = (D + D A + D A) =BP<9Wl1 = Wl3 = (Dlws + Lload + Finload) = (6.4 + 4 + 1) =BBBBB'E&@"DD D  ? Bo X*2:88888888*844(&`I; @! @" @% @& @' @( @) @ * @+ @, @- @. @/ @0 @1 @2 @3 @4 @5 @6 @7 @8 @9 @: @; @< @= @> @? @ > !>"? ]@&iWl2 = ((D + D + D + D) x D + @D @) /D@ = BP41Wl2 = ((7.155 + 1.875 + 4 + 1) x 1.5 + 1) /1.5 = A"EK~d-@&+DDDDDD D "? %^ %^^ &GGGB&H&@/,D  $0.000BA!&H/d-@" D"AB&H&@&,D   $0.000BA'G 'GG (III)JKKKK *L'*MC*L1 = DBP L1 = 0.72*N'*O(CL2 = D BP L2 = 3.9*P'*Q@C*L3 = D BP L3 = 1.78 *? +L!+R&1E@5 D0A!+Hy&1D@1 D1A +? ,> ->!=.SHKC*'Ra x DD D @ =BP Ra x 6.4 =.S1D&xD@x(@D +D +Dx0.5) + D&xD (D + 0.5xD ) +D&xD x0.5xD =@BPQN11.4x0.72x(1.78+3.9+0.72x0.5) + 14.697x3.9(1.78+ 0.5x3.9) +11.4x1.78x0.5x1.78= />'/>Rrq@0kD&DD D D?D&D D D ?@D&D ?D  />"/T 0>& 0T40?&1E@.D/DD D A 0?" 1>#n1Z^@+X(D&xD + D&xD  + D&xD ) - @D0@ = BP30(11.4x0.72 + 14.697x3.9 + 11.4x1.78) - 43.974 = 1ZZZZ 1TF1Ey&1D@30D&DD&D D&D D0A 1?" 2>$ 3>%3U4RǬ@+{D ZD1D&D@ #DD1D&DD&D1D&@"D1D&B 3> 4>)4V@6D0 x D3A - D& x D x (D3@A@-0.5xD) - D& x 0.5 x (D3A - D)^2BPTQ43.974 x 3.009 - 11.4 x 0.72 x (3.009-0.5x0.72) - 14.697 x 0.5 x (3.009 - 0.72)^2 5Tl5>CR@4VD0D3D&DD3?DD&?D3DA 5>( 6>*<6>؞6&1.5 x D5A@ = @BP1.5 x 72.071 = +6>+[@9?D5A 6>( 7>+ 8>-8>Dl?.~D  l?cD  Dl?AD  /$?Incorrect Steel Grade""B 8>@ 9>,t9>@ѷ<^Sqrt((Factored BM/(D8 x fck) = Sqrt((@D6 x 1e+03) /(D8x D))B PIFSqrt((Factored BM/(0.138 x fck) = Sqrt((108.107 x 1e+03) /(0.138x 25)) :>,6:>jt f@< D6D8DAA :> :W; :WW~ :Xk@ :? ;Z6 ;ZZ2;Y@o@ CD:D A  ;E <>C5<>˷ @D61e+03/D:^2 =BP108.1071e+03/220^2 =<T2<Bףp= @ =D6D:D:A =>/n=>ffffff? >X@ffffff@D6DD:@A@DDdA =>0 >>1%>>@ :D= D: >>E >>2#>>j`XR@ qD> >>3 ?>< ?>2~ ?XQ@ ?>3 ?g=?g0?>rh|? @qdD?D:A ? >0@RDfPb/`@ @A @B @C @D @ @>?%@>33333;@ 8D? 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