Member Design - Reinforced Concrete Two Way Spanning Slab ... · PDF fileMember Design -...

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Job No. Sheet No. Rev. Job Title XX Material Properties Characteristic strength of concrete, f cu (≤ 60N/mm 2 ; HSC N/A) 35 N/mm 2 OK Yield strength of longitudinal steel, f y 460 N/mm 2 Yield strength of shear link steel, f yv 460 N/mm 2 Type of concrete and density, ρ c 24 kN/m 3 Slab Parameters Shorter span (defined as in x) and number, l x (number affects slab l x moments 5.000 m Longer span (defined as in y) and number, l y (number affects slab l y moments 6.000 m OK Slab support conditions (affects effective beam section, moments, shear, deflection criteria) Panel (affects moments for continuous case, shear for continuous case and whether interior or edge beam for both precast and continuous cases) Overall slab depth, h slab (l/24-l/35 s/s; l/34-l/40 cont) 175 mm Cover to all reinforcement, cover (usually MAX(25, φ) internal; 40 external) 30 mm Effective depth to sagging steel in x, d x,s = h slab - cover - φ sx /2 140 mm Effective depth to sagging steel in y, d y,s = h slab - cover - φ sx - φ sy /2 130 mm Effective depth to hogging steel in x, d x,h = h slab - cover - φ link,x - φ hx /2 140 mm Effective depth to hogging steel in y, d y,h = h slab - cover - φ link,y - φ hx - φ hy /2 130 mm Sagging steel reinforcement diameter in x, φ sx 10 mm Sagging steel reinforcement pitch for resistance in x, p sx 200 mm Sagging steel area provided in x, A s,prov,x,s = (π.φ sx 2 /4)/p sx 393 mm 2 /m Sagging steel reinforcement diameter in y, φ sy 10 mm Sagging steel reinforcement pitch for resistance in y, p sy 200 mm Sagging steel area provided in y, A s,prov,y,s = (π.φ sy 2 /4)/p sy 393 mm 2 /m Hogging steel reinforcement diameter in x, φ hx 10 mm Hogging steel reinforcement pitch for resistance in x, p hx 200 mm Hogging steel area provided in x, A s,prov,x,h = (π.φ hx 2 /4)/p hx 393 mm 2 /m Hogging steel reinforcement diameter in y, φ hy 10 mm Hogging steel reinforcement pitch for resistance in y, p hy 200 mm Hogging steel area provided in y, A s,prov,y,h = (π.φ hy 2 /4)/p hy 393 mm 2 /m Shear link diameter for bending in x, φ link,x 0 mm Number of links per metre for bending in x, n link,x 4 /m Area provided by all links per metre for bending in x, A sv,prov,x = n link,x .π.φ link,x 2 /4 0 mm 2 /m Pitch of links for bending in x, S x 150 mm Shear link diameter for bending in y, φ link,y 0 mm Number of links per metre for bending in y, n link,y 4 /m Area provided by all links per metre for bending in y, A sv,prov,y = n link,y .π.φ link,y 2 /4 0 mm 2 /m Pitch of links for bending in y, S y 150 mm Slab Loading (Plan Loading) (Internal elev load not on beam must be checked on effective widths [span/(5 or 7.14)] within slab depth) Live load, LL 2.00 kPa Superimposed dead load, SDL plan 1.20 kPa Dead load of slab, DL = h slab .ρ c 4.20 kPa ULS slab loading, ω ULS,slab (a.k.a. n) = 1.4 (DL + SDL plan ) + 1.6 LL 10.76 kPa Beam Loading (Elevation Loading) Superimposed dead load on y direction beam, SDL elev,x 0.00 kN/m Superimposed dead load on x direction beam, SDL elev,y 0.00 kN/m Member Design - Reinforced Concrete Two Way Spannin Member Design - RC Two Way Spanning Slab 03-09-15 CONSULTING E N G I N E E R S Engineering Calculation Sheet Consulting Engineers jXXX 1 Made by Date Chd. Drg. Ref. Member/Location
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Transcript of Member Design - Reinforced Concrete Two Way Spanning Slab ... · PDF fileMember Design -...

  • Job No. Sheet No. Rev.

    Job Title

    XX

    Material Properties

    Characteristic strength of concrete, fcu ( 60N/mm2; HSC N/A) 35 N/mm

    2 OK

    Yield strength of longitudinal steel, fy 460 N/mm2

    Yield strength of shear link steel, fyv 460 N/mm2

    Type of concrete and density, c 24 kN/m3

    Slab Parameters

    Shorter span (defined as in x) and number, lx (number affects slab lx moments, shear, deflection criteria; beam l5.000 m

    Longer span (defined as in y) and number, ly (number affects slab ly moments, shear, deflection criteria; beam l6.000 m OK

    Slab support conditions (affects effective beam section, moments, shear, deflection criteria)

    Panel (affects moments for continuous case,

    shear for continuous case and whether interior or edge beam for both precast and continuous cases)

    Overall slab depth, hslab (l/24-l/35 s/s; l/34-l/40 cont) 175 mm

    Cover to all reinforcement, cover (usually MAX(25, ) internal; 40 external) 30 mm

    Effective depth to sagging steel in x, dx,s = hslab - cover - sx/2 140 mm

    Effective depth to sagging steel in y, dy,s = hslab - cover - sx - sy/2 130 mm

    Effective depth to hogging steel in x, dx,h = hslab - cover - link,x - hx/2 140 mm

    Effective depth to hogging steel in y, dy,h = hslab - cover - link,y - hx - hy/2 130 mm

    Sagging steel reinforcement diameter in x, sx 10 mm

    Sagging steel reinforcement pitch for resistance in x, psx 200 mm

    Sagging steel area provided in x, As,prov,x,s = (.sx2/4)/psx 393 mm

    2/m

    Sagging steel reinforcement diameter in y, sy 10 mm

    Sagging steel reinforcement pitch for resistance in y, psy 200 mm

    Sagging steel area provided in y, As,prov,y,s = (.sy2/4)/psy 393 mm

    2/m

    Hogging steel reinforcement diameter in x, hx 10 mm

    Hogging steel reinforcement pitch for resistance in x, phx 200 mm

    Hogging steel area provided in x, As,prov,x,h = (.hx2/4)/phx 393 mm

    2/m

    Hogging steel reinforcement diameter in y, hy 10 mm

    Hogging steel reinforcement pitch for resistance in y, phy 200 mm

    Hogging steel area provided in y, As,prov,y,h = (.hy2/4)/phy 393 mm

    2/m

    Shear link diameter for bending in x, link,x 0 mm

    Number of links per metre for bending in x, nlink,x 4 /m

    Area provided by all links per metre for bending in x, Asv,prov,x = nlink,x..link,x2/4 0 mm

    2/m

    Pitch of links for bending in x, Sx 150 mm

    Shear link diameter for bending in y, link,y 0 mm

    Number of links per metre for bending in y, nlink,y 4 /m

    Area provided by all links per metre for bending in y, Asv,prov,y = nlink,y..link,y2/4 0 mm

    2/m

    Pitch of links for bending in y, Sy 150 mm

    Slab Loading (Plan Loading)

    (Internal elev load not on beam must be checked on effective widths [span/(5 or 7.14)] within slab depth)

    Live load, LL 2.00 kPa

    Superimposed dead load, SDLplan 1.20 kPa

    Dead load of slab, DL = hslab.c 4.20 kPa

    ULS slab loading, ULS,slab (a.k.a. n) = 1.4 (DL + SDLplan) + 1.6 LL 10.76 kPa

    Beam Loading (Elevation Loading)

    Superimposed dead load on y direction beam, SDLelev,x 0.00 kN/m

    Superimposed dead load on x direction beam, SDLelev,y 0.00 kN/m

    Member Design - Reinforced Concrete Two Way Spanning Slab BS8110 v2015.02.xlsm

    Member Design - RC Two Way Spanning Slab 03-09-15

    CONSULTING

    E N G I N E E R S

    Engineering Calculation Sheet

    Consulting Engineers jXXX 1

    Made by Date Chd.

    Drg. Ref.

    Member/Location

  • Job No. Sheet No. Rev.

    Job Title

    XX

    Parameters of Beam Spanning in y Direction (Slab in x Direction)

    Interior or edge beam ? Edge Beam

    (affects tributary width for loading on beam, available beam spacing for effective width in cont case)

    Downstand depth of beam (excluding slab) spanning in y direction, hd,beam,x 225 mm

    Width of beam spanning in y direction, bw,beam,x 150 mm

    Dead load on y direction beam downstand, DLbeam,x = hd,beam,xbw,beamc 0.81 kN/m

    Sag moment beam span y, Mx,sag 80 kNm

    Hog moment beam span y, Mx,hog 40 kNm

    Shear beam span y, Vx 53 kN

    Span (for effective width and deflection calcs) 6.000 m

    Available beam spacing (effective width calcs in continuous case) 2.500 m

    Sag section type L - s/s

    Hog section type Rect - s/s

    Overall depth, hbeam,x (downstand if precast, downstand + slab if cont) 400 mm

    For sagging: tension steel diameter, t,sag,x and number 20 2

    For sagging: compression steel diameter, c,sag,x and number 0

    For sagging: add cover to compression steel, coveradd,x,c,sag = hx 10 mm

    For hogging: tension steel diameter, t,hog,x and number 20 2

    For hogging: add cover to tensile steel, coveradd,x,t,hog = coveradd,x,c,sag 10 mm

    For hogging: compression steel diameter, c,hog,x and number 0 0

    Link diameter link,x, number and pitch 10 2 250 mm

    For sagging: number of layers of tensile steel, nlayers,tens,sag 1 layer(s)

    For sagging: number of layers of compression steel, nlayers,comp,sag 1 layer(s)

    Ratio b=1.2 (sagging) or 0.8 (hogging) unless single span or continuous elastic1.0 1.0

    For hogging: number of layers of tensile steel, nlayers,tens,hog 1 layer(s)

    For hogging: number of layers of compression steel, nlayers,comp,hog 1 layer(s)

    Engineering Calculation Sheet

    Consulting Engineers jXXX 2

    Member Design - RC Two Way Spanning Slab 03-09-15

    Member Design - Reinforced Concrete Two Way Spanning Slab BS8110 v2015.02.xlsm

    CONSULTING

    E N G I N E E R S

    Made by Date Chd.

    Drg. Ref.

    Member/Location

  • Job No. Sheet No. Rev.

    Job Title

    XX

    Parameters of Beam Spanning in x Direction (Slab in y Direction)

    Interior or edge beam ? Edge Beam

    (affects tributary width for loading on beam, available beam spacing for effective width in cont case)

    Downstand depth of beam (excluding slab) spanning in x direction, hd,beam,y 225 mm

    Width of beam spanning in x direction, bw,beam,y 150 mm

    Dead load on x direction beam downstand, DLbeam,y = hd,beam,ybw,beamc 0.81 kN/m

    Sag moment beam span x, My,sag 38 kNm

    Hog moment beam span x, My,hog 59 kNm

    Shear beam span x, Vy 57 kN

    Span (for effective width and deflection calcs) 5.000 m

    Available beam spacing (effective width calcs in continuous case) 3.000 m

    Sag section type L - continuous

    Hog section type Rect - continuous

    Overall depth, hbeam,y (downstand if precast, downstand + slab if cont) 400 mm

    For sagging: tension steel diameter, t,sag,y and number 2

    For sagging: add cover to tension steel, coveradd,y,t,sag = coveradd,y,c,hog 20 mm

    For sagging: compression steel diameter, c,sag,y and number 0

    For sagging: add cover to compression steel, coveradd,y,c,sag = coveradd,y,t,hog 30 mm

    For hogging: tension steel diameter, t,hog,y and number 2

    For hogging: add cover to tensile steel, coveradd,y,t,hog = MAX{hx + hy, MAX(link,x 30 mm

    For hogging: compression steel diameter, c,hog,y and number 0

    For hogging: add cover to compression steel, coveradd,y,c,hog = MAX{0, MAX(t,sag,x 20 mm

    Link diameter link,y, number and pitch 2 250 mm

    For sagging: number of layers of tensile steel, nlayers,tens,sag 1 layer(s)

    For sagging: number of layers of compression steel, nlayers,comp,sag 1 layer(s)

    Ratio b=1.2 (sagging) or 0.8 (hogging) unless single span or continuous elastic1.0 1.0

    For hogging: number of layers of tensile steel, nlayers,tens,hog 1 layer(s)

    For hogging: number of layers of compression steel, nlayers,comp,hog 1 layer(s)

    3

    Member Design - Reinforced Concrete Two Way Spanning Slab BS8110 v2015.02.xlsm

    Member Design - RC Two Way Spanning Slab 03-09-15

    CONSULTING

    E N G I N E E R S

    Engineering Calculation Sheet

    Consulting Engineers jXXX

    Made by Date Chd.

    Drg. Ref.

    Member/Location

  • Job No. Sheet No. Rev.

    Job Title

    XX

    Utilisation Summary (Slab)

    Item UT Remark

    Sag moment, mx 63% OK

    Sag moment, my 74% OK

    Hog moment, m1 37% OK

    Hog moment, m2 37% OK

    Hog moment, m3 83% OK

    Hog moment, m4 0% OK

    % Min sag reinforcement in x 58% OK

    % Min sag reinforcement in y 58% OK

    % Min hog reinforcement 1 58% OK

    % Min hog reinforcement 2 58% OK

    % Min hog reinforcement 3 58% OK

    % Min hog reinforcement 4 58% OK

    Ultimate shear stress for bending in x and y 3% OK

    Shear design capacity for bending in x 20% OK

    Shear design capacity for bending in y 22% OK

    Shear design capacity for bending in x and y combined 42% OK

    Deflection requirements 78% OK

    Total utilisation precast slab 78% OK

    Total utilisation continuous slab 83% OK

    Detailing requirements

    Utilisation Summary (Beam)

    Automatic design

    Item UT Detailing Remark

    Beam spanning in y (slab in x) sagging 88% NOT OK NOT OK

    Beam spanning in y (slab in x) hogging 45% NOT OK NOT OK

    Beam spanning in x (slab in y) sagging 48% NOT OK NOT OK

    Beam spanning in x (slab in y) hogging 65% NOT OK NOT OK

    Overall Utilisation Summary

    Overall utilisation 88%

    Overall detailing requirements NOT OK

    % Sag reinforcement in x 0.22 %

    % Sag reinforcement in y 0.22 %

    % Hog reinforcement in x 0.22 %

    % Hog reinforcement in y 0.22 %

    Estimated steel reinforcement quantity (130 220kg/m3) 70 kg/m

    3

    [ 7.850 . (A s,prov,x,s+A s,prov,y,s+A s,p