beam idea

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Date : Client : Subject : PROPOSED FOOD KIOSK SURCHARGE BASEMENT WALL SECTION Soil Pressure Diag. Surcharge Diag. Seismic Pressure Diag. Analysis & Design of Basement Wall Nomenclature Date (Consulting Engineer & Architects) Date Jul-21-2014 Checked by Rhonda Divina A. Rapirap Jul-21-2014 Jul-21-2014 MAYNILAD Aprroved by Angel Lazaro III. Ph.D Jul-21-2014 Date Project ID SD - KIOSK-MYNLD A NGEL LA ZA RO & A SSOCIA TES INTERNA TIONA L Cal'c by A.H. Sinconiegue P AE d7 A B R B d1 d2 d3 Psoil Psur W1 W2 W3 L h d4 TOE HEEL d5 d6 t h1 H Analysis and Design Refferences : 1.0 National Structural Code of The Philippines (NSCP) 2010, Volume 1 , 6th Edition for Building, Towers and other Vertical Srtuctures by : Association of Structural Engineers in the Philippines. ( ASEP) 2.0 National Structural Code of the Philippines (NSCP) 1997, Volumn 2, 2ND Edition, Bridges ASD(Allowable Stress Design) by: Association of Structural Engineers in the Philippines. ( ASEP) 3.0 AASHTO Bridge Design and Specification 2002-2010 by: American Association of State Highway and Transportation Officials (AASHTO) 4.0 Design of Reinforced Concrete ACI 318-05 Code Edition, Seventh Edition by: Jack C. McCormac & James K. Nelson Spreadsheet Condition This spreadsheet is applicable only on non- slopping backfill and the use of this spreadsheet is only for structure having the same configuration. Wall Dimensions : Design Notes: Total height of retaining wall, H mm - Neglect Soil Passive Pressure for Critical Design of Stem - NSCP 5.5.2 Height of the soil at the back of the wall, h1 mm Height of the soil at the exposed face of the wall, h2 mm - Wall Inertia Effects not considered - NSCP 5.6.4 Stem thickness, t mm Total length of footing, L mm - Overall Stability with Earthquake Force (Seed & Whitman) - AASHTO 5.8.9.1 Footing thickness, h mm Surcharge Height, Sh = mm - Factor of Safety in Sliding and Overturning are Reduced to 75% of Original Value at Earthquake Condition - AASHTO 5.8.9.1A - Wall analyzed as Propped Beam. 3300 3300 1200 250 400 150 1600 Fig. A - BASEMENT WALL NOMENCLATURE BASEMENT WALL SECTION Soil Pressure Diag. Surcharge Diag. Seismic Pressure Diag.

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  • Date :

    Client :

    Subject :

    PROPOSED FOOD KIOSK

    SURCHARGE

    BASEMENT WALL SECTIONSoil Pressure Diag.Surcharge Diag.Seismic Pressure Diag.

    Analysis & Design of Basement Wall Nomenclature Date

    (Consulting Engineer & Architects) Date Jul-21-2014

    Checked by Rhonda Divina A. Rapirap

    Jul-21-2014

    Jul-21-2014

    MAYNILAD Aprroved by Angel Lazaro III. Ph.D

    Jul-21-2014 Date

    Project ID SD - KIOSK-MYNLD

    ANGEL LAZARO & ASSOCIA TES INTERNA TIONA L Cal'c by A.H. Sinconiegue

    PAE

    d7

    A

    BRB

    d1

    d2

    d3

    Psoil

    Psur

    W1

    W2

    W3

    L

    h

    d4

    TOEHEEL

    d5

    d6

    t

    h1

    H

    Analysis and Design Refferences :

    1.0 National Structural Code of The Philippines (NSCP) 2010, Volume 1 , 6th Edition for Building, Towers

    and other Vertical Srtuctures

    by : Association of Structural Engineers in the Philippines. ( ASEP)

    2.0 National Structural Code of the Philippines (NSCP) 1997, Volumn 2, 2ND Edition, Bridges

    ASD(Allowable Stress Design)

    by: Association of Structural Engineers in the Philippines. ( ASEP)

    3.0 AASHTO Bridge Design and Specification 2002-2010

    by: American Association of State Highway and Transportation Officials (AASHTO)

    4.0 Design of Reinforced Concrete ACI 318-05 Code Edition, Seventh Edition

    by: Jack C. McCormac & James K. Nelson

    Spreadsheet Condition

    This spreadsheet is applicable only on non- slopping backfill and the use of this spreadsheet is only

    for structure having the same configuration.

    Wall Dimensions : Design Notes:

    Total height of retaining wall, H mm - Neglect Soil Passive Pressure for Critical Design of Stem - NSCP 5.5.2

    Height of the soil at the back of the wall, h1 mm

    Height of the soil at the exposed face of the wall, h2 mm - Wall Inertia Effects not considered - NSCP 5.6.4

    Stem thickness, t mm

    Total length of footing, L mm - Overall Stability with Earthquake Force (Seed & Whitman) - AASHTO 5.8.9.1

    Footing thickness, h mm

    Surcharge Height, Sh = mm - Factor of Safety in Sliding and Overturning are Reduced to 75% of Original

    Value at Earthquake Condition - AASHTO 5.8.9.1A

    - Wall analyzed as Propped Beam.

    3300

    3300

    1200

    250

    400

    150

    1600

    Fig. A - BASEMENT WALL NOMENCLATURE

    BASEMENT WALL SECTIONSoil Pressure Diag.Surcharge Diag.Seismic Pressure Diag.

  • Date :

    Client :

    Subject :

    A. WALL PARAMETERS

    Total height of retaining wall, H mm

    Height of the soil at the back of the wall, h1 mm

    Height of the soil at the exposed face of the wall, h2 mm

    Stem thickness, t mm

    Total length of footing, L mm

    Footing thickness, h mm

    Surcharge Height, Sh = mm

    B. CONCRETE PARAMETERS

    Compressive strength @ 28 days, f'c Mpa

    Modulus of Elasticity, Ec = 4700f'c Mpa

    Unit weight (normal concrete), c KN/m3

    C. STEEL PARAMETERS

    MPa (Grade 40) for 12mm and smaller bars , fy Mpa

    (to be used for temp. and shrinkage bars)

    MPa (Grade 60) for larger bars (>12mm) , fy Mpa

    (to be used for main and shear bars)

    Modulus of Elasticity, Es Mpa

    Main Horizontal bar size at exposed side, he mm

    MainVertical bar size at exposed side, ve mm

    Main Horizontal bar size at rear, hr mm

    Main Vertical bar size at rear, vr mm

    Main Reinforcement bar size at heel, h mm

    Main Reinforcement bar size at toe, t mm

    Temperature bar size, tb mm

    Stirrup bar size, s mm

    NSCP II-Sec.8.7.2

    NSCP II-Sec. 8.7.1

    REFERENCE REMARKSANALYSIS AND DESIGN CALCULATION

    ANGEL LAZARO & ASSOCIA TES INTERNA TIONA L

    (Consulting Engineer & Architects)

    Jul-21-2014

    MAYNILAD

    Analysis & Design of Basement Wall Nomenclature

    A.H. Sinconiegue

    Jul-21-2014

    Rhonda Divina A. Rapirap

    Jul-21-2014

    Angel Lazaro III. Ph.D

    Jul-21-2014

    Cal'c by

    Date

    Checked by

    Date

    Aprroved by

    Date

    12

    10

    12

    276

    150

    3300

    3300

    1200

    250

    1600

    28

    400

    24870.06

    24

    SD - KIOSK-MYNLDProject ID

    414

    200000

    10

    10

    10

    12

    12

    D. SOIL PARAMETERS

    Unit Weight of Soil, s KN/m3

    Allowable Bearing Capacity on Site, qall kPa

    Surcharge, S kPa

    Factor of Saefty against Overturning, FSOT

    Factor of Saefty against Sliding, FSSL

    Angle of Internal friction of soil,

    Backfill Slope angle,

    E. Seismic Parameter

    Importance Factor, I

    Acceleration factor, A

    Horizontal Acceleration Coefficient, 0.50*A = kh

    Vertical Acceleration Coefficient, kv

    Check Horizontal Acceleration, (1-kv)*TAN(-)

    Arc tan(kh/(1-kv)) =

    F. Miscellaneous Parameters

    Consider 1.0 meter strip , b mm

    Minimum Concrete Cover, Cc mm

    Flexural strength reduction factor, f

    Shear strength reduction factor, s

    Compressive block depth reduction factor, 1

    Normal weight concrete modification factor,

    Coefficient of Friction, =

    G. Design Calculation

    Calculation for coefficient of active pressure, ka = (1-sin)/(1+sin)

    Consider 1.0 meter strip, b = mm

    Calculation for active soil force, Psoil = 1/2*s*(h1-h)^2*ka KN

    Calculation surcharge force, Psur = (S/s)*(s)*(h1-T)Ka KN

    Calculation for negative unfactored moment @ base, Mnneg

    Mnneg = Psoil*(h1-h)/7.5 + Psur*(h1-h)/8 KN.m

    Calculation for negative factored moment @ base, Muneg = 1.6*Mn KN.m

    Convert resultant force into a uniform load

    For soil force, w1 = 2*Psoil/(h1-h) KN/m

    For surcharge force, w2 = Psur/(h1-h) KN/m

    Effective length, leff = (h1 - h) mm

    Summation of moment about point B, Ra = Mn/leff + (w1*leff)/3 + (w2*leff)/3 KN

    Summation of moment about point A, RB = (w1*leff)/6 + (w2*leff)/2 - Mn/leff KN

    Calculation for dist where max moment occur @ shear is zero, x

    NSCP I-Sec.407.8.3.1

    NSCP I-Sec.409.4.2.1

    NSCP I-Sec.409.4.2.3

    NSCP I-Sec.410.3.7.3

    NSCP I-Sec.411.3.1.1

    NSCP II-Sec.5.5.5

    NSCP II-Sec.5.5.5

    NSCP II-App. (H-9)

    NSCP II-App. (H-8)

    18

    150

    11.31

    0.85

    0.00

    2.7

    2

    1.5

    30

    12.499

    19.999

    1000

    25.23

    7.569

    0.33

    1

    0.40

    0.2

    0.00

    0.46

    75

    1000

    0.9

    0.75

    1.0

    0.5

    17.4

    2.61

    2900

    24.915

    7.884

    Calculation for dist where max moment occur @ shear is zero, x

    - x - x2

    = 0 by trial and error , x = mm7.884 2.61 3 Derived from shear diag.1243.46

  • Calculation for max positive unfactore moment, Mnpos

    Mnpos = RB*x - w1*x^3/6*leff - w2*x^2/2 KN.m

    Calculation for factore positve moment, Mupos = 1.6*Mnpos KN.m

    Check if assumed stem thickness is adequate to carry induced load by soil

    Calculation for effective thickness, teff = t - cc - vr/2 mm

    Coefficient of Resistance, Rn = Mu/f*b*teff2

    MPa

    Check for rho min , sqrt(fc')/4*fy

    Rho min should not be less than with, 1.4/fy

    Therefore adopt rho min, min =

    Calculation for rho theoritical, = 0.85*fc'/fy ( 1 - sqrt( 1 - 2*Rn/0.85*fc'))

    Calculate for rho balnce, b = 0.85*fc'*1*600 / fy*(600 + fy)

    Calculate for rho max, max = 0.75*b

    Therefor adopt design rho, des =

    Calculation for mechanical ratio, = des*fy/fc'

    Check for the req'd thickness of the stem, treq'd = sqrt(Muneg/(f*fc'*b**(1-0.59*)) mm

    Vertical Reinforcement Design @ the rear face of the wall :

    Calculate for minimum vertical steel area, Avmin = 0.0015*b*t mm2

    Calcualtion for the total vert. steel area required, Avreq'd = des*b*teff mm2

    Check for actual vertical steel area required, Aactual mm2

    Calculation for provide main steel area, Avr = PI()*(vr)2/4 mm

    2

    Calculation for total number bars, N = Aactual/Avr pcs

    Calculation for Spacing, Svr , b/N mm

    Check vert spacing, 3*t mm

    450 mm

    Therefore adopt actual spacing, Sactual mm

    Therefore use : 6- 12mm vertical main bars spaced @ 160mm O.C

    Check for Shear adequacy of wall:

    Calculation for factored shear force, Vu =1.6( MAX( RA & RB)) KN

    Nominal Shear provided by concrete, Vc = 0.17**SQRT(fc')*b*teff KN

    Calculation for factored shear provided by concrete, sVc KN

    Check Vu if < 0.5*sVc KN

    Check for development length on bottom of wall footing:

    Calculate for, ldc = 0.24*fy*vr/*SQRT(fc') mm226

    39.863

    152.025

    114.019

    Not Aplicable

    169.00

    0.78

    NSCP I-Sec.411.4.1.1

    NSCP I-Sec.411.2

    NSCP I-Sec.411.6.6.1

    NSCP I-Sec.412.4.2

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.5

    NSCP I-Sec.410.6.1

    NSCP I-Sec.410.6.1

    Compliant

    Per meter strip

    Derived from moment diag.

    Non-compliant

    5.863

    127.89

    Therefore, Assumed thickness is satisfactory

    Stem thickness is adequate to carry shear stresses

    375

    571.50

    750.00

    450.00

    160.00

    57.009

    571.50

    113.10

    6.0

    160.00

    0.0500

    NSCP I-Sec.414.4.2

    Use rho minimum for design

    0.0034

    0.0019

    N.A

    N.A

    9.382

    0.0032

    0.0034

    0.0034

    Calculate for, ldc = 0.24*fy*vr/*SQRT(fc') mm

    Calculate for, ldc = 0.043*fy*vr mm

    Therefore adopt maximum value above, ldc mm

    Check for minumum, ldcmm mm

    Therefore adopt for actual development length, ldcact mm

    Horizontal Reinforcement Design @ the rear face of the wall:

    Calculate main steel area provided, Ahr = PI()*(hr)2/4 mm

    2

    Calculate for total hor. steel area req'd, Ahreq'd = 0.0025*(h1-h)*t mm2

    Calculation for total number of main bar, N = Ahreq'd / Ahr pcs

    Calculation for horizontal spacing, Shr = (h1-h)/N mm

    Check hor. spacing : 3*t mm

    450 mm

    Therefore adopt actual spacing, Sactual = mm

    Therefore use : 24-10mm horizontal main bar spaced @120mmO.C

    Vertical Main Reinforcement Design @ the exposed face of the wall:

    Coefficient of resistance, Rn = Mupos/f*b*teff2

    MPa

    Check for rho min , sqrt(fc')/4*fy

    Rho min should not be less than with, 1.4/fy

    Therefore adopt rho min, min =

    Calculation for rho theoritical, = 0.85*fc'/fy ( 1 - sqrt( 1 - 2*Rn/0.85*fc'))

    Calculate for rho balnce, b = 0.85*fc'*1*600 / fy*(600 + fy)

    Calculate for rho max, max = 0.75*b

    Therefor adopt design rho, des =

    Vertical Reinforcement Design @ the exposed face of the wall :

    Calculate for minimum vertical steel area, Avmin = 0.0015*b*t mm2

    Calcualtion for the total vert. steel area required, Avreq'd = des*b*teff mm2

    Check for actual vertical steel area required, Aactual mm2

    Calculation for provide main steel area, Ave = PI()*(ve)2/4 mm

    2

    Calculation for total number bars, N = Aactual/Ave pcs

    Calculation for Spacing, Sve , b/N mm

    Check vert. spacing, 3*t mm

    450 mm

    Therefore adopt actual spacing, Sactual mm

    Therefore use: 8 - 10mm vertical main bar spaced @ 120mm O.C

    Horizontal Reinforcement Design @ the exposed face of the wall:

    Calculate main steel area provided, Ahe = PI()*(he)2/4 mm

    2

    Calculate for total hor. steel area req'd, Ahreq'd = 0.0025*(h1-h)*t mm2

    Calculation for total number of main bar, N = Ahreq'd / Ahe pcs

    Calculation for horizontal spacing, Shr = (h1-h)/N mm

    Check hor. spacing : 3*t mm

    450 mm

    Therefore adopt actual spacing, S = mm

    NSCP I-Sec. 414.4.3

    226

    NSCP I-Sec.412.4.1

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.2

    NSCP I-Sec.410.6.1

    NSCP I-Sec.410.6.1

    NSCP I-Sec.412.4.2

    NSCP I-Sec.412.4.2

    Non-compliant

    Compliant

    Full Height of Wall

    Use rho minimum for design

    Not Aplicable

    0.365

    0.0032

    0.0034

    0.0034

    0.0009

    120

    750

    450

    120

    226

    78.540

    1812.5

    24

    214

    78.540

    1812.5

    24

    120

    750

    120

    375

    571.50

    571.50

    78.54

    N.A

    N.A

    0.0034

    450

    120

    120

    750

    450

    226

    200

    NSCP I-Sec.414.4.3

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.5

    NSCP I-Sec. 414.4.5

    8.0

    Full Height of Wall

    Therefore adopt actual spacing, Sactual = mm

    Therefore use: 24 - 10mm horizontal main bar spaced @ 120mm O.C

    120

  • Fig.1 Pressure Diagram induced by Soil & Surcharge

    Note:

    Weights and Forces: Consider 1.0 meter strip

    Weight due to concrete wall, W1 = c*(h1-h)*b*t KN

    Weight due to concrete footing, W2 = c*L*b*h KN

    Weight to soil backfill, W3 = s*((L-t)/2)*(h1-h)*b KN

    Reaction induced by slab @ the upper level, RB KN

    Force induced by the soil backfill, Psoil KN

    Force induced by surcharge load, Psur KN

    Moment arm about toe:

    Moment arm for soil induced force, d1 = h1/3 mm

    Moment arm for surcharge force, d2 = h1/2 mm

    Moment arm for force due to slab above level, d3 = h1 mm

    Moment arm for soil backfill, d4 = L - (L-t)/4) mm

    Moment arm for wight concrete wall, d5 = L/2 mm

    As per actual condition of the wall

    the reaction induced by the slab at

    the above level is considered.

    5.863

    25.230

    7.569

    1100.00

    17.400

    15.360

    35.235

    1650.00

    3300.00

    1262.50

    800.00

    CHECK FOR STABILITY FOR NORMAL CONDITION

    A

    BRB

    d1

    d2

    d3

    Psoil

    Psur

    W1

    W2

    W3

    L

    h

    d4

    TOEHEEL

    d5

    d6

    Moment arm for wight concrete wall, d5 = L/2 mm

    Moment arm for weight of concrete footing, d6 = L/2 mm

    Check for factor of safety as per code provision:

    Resisting Moment, RM = (RB*d3)+(W1*d5)+(W2*d6)+(W3*d4) KN.m

    Overturning Moment, OM = (Psoil*d1) + (Psur*d2) KN.m

    Summation for vertical forces, Ry = W1 + W2 + W3 KN

    Check for factor of safety against sliding, FSSL = *(RY/(Psoil+Psur-RB))

    Check for factor of safety against overturning, FSOT= RM/OM

    Check for allowable soil bearing pressure :

    Distance of resultant from toe, X = (RM - OM)/Ry mm

    Eccentricity of Resultant Force e = L/2 - X mm

    Check if Trapezoidal or Triangular Pressure, L/6 mm

    Calculate Minimum Soil Pressure, qumin = (Ry/L)*(1 - 6*e/L) kPa

    Calculate for Maximum Soil Pressure, qumax = (Ry/L)*(1 + 6*e/L) kPa

    DESIGN OF REINFORCEMENT OF HEEL:

    Effective depth of footing to be consider, heff = h - Cc - h/2 mm

    Factored Weight due to Soil at Rear Face, W3U = 1.35*(S*((L-t)/2))*(h1-h)*b KN

    Factored Weight due to concrete at heel portion, WheelU = 1.25*(C*(L-t)/2*h*b) KN

    Calculate for Factored Shear at the face of top base, Vu = W3U + WheelU KN

    Caculate for Ultimate bending Moment, Mu = (W3U + WheelU)*((L-t)/4)) KN.m

    Note : Although it is true that there is some upward soil pressure, the designer choose to neglect it because it is rela-

    tively small. This is the unlikely condition that would exist if there occurred a leteral force overload and no asso-

    ciated increased vertical loads causing uplift of the heel. The ultimate moment must be due to the factored load

    (wt of soil including surcharge and weight of footing on the postion of heel.

    Nominal Shear provided by concrete, Vc = 0.17**SQRT(fc')*b*heff KN

    Calculation for factored shear provided by concrete, sVc KN

    Coefficeint of resistance, Rn = Mu / (f*b*heff2) Mpa

    Check for rho min , sqrt(fc')/4*fy

    Rho min should not be less than with, 1.4/fy

    Therefore adopt rho min, min =

    Calculate for theoritical rho, = (0.85*fc'/fy)*(1 - sqrt(1 - 2*Rn/(0.85*fc'))

    Calculate for rho balnce, b = 0.85*fc'*1*600 / fy*(600 + fy)

    Calculate for rho max, max = 0.75*b

    732.40

    67.60

    266.67

    90.042

    40.242

    67.995

    1.26

    2.24

    Therefore, Basement Retaining Wall is failed against sliding, Provide Shear Key

    Therefore, Basement Retaining Wall is safe agaisnt overturning, section increase not needed

    When e < L/6 adopt Trapezoidal Pressure

    When qumax < qall, therefore section is satisfactory

    800.00

    800.00

    215.22

    0.205

    0.0005

    319.00

    47.57

    8.10

    55.67

    18.788

    286.96

    The footing thickness h is adeqaute to carry such shear stresses

    0.0032

    0.0034

    0.0034

    Use rho minimum for design

    31.725

    53.269

    N.A

    N.A

    Compliant

    Compliant

    Non-Compliant

    Compliant

    Non-compliant

    Compliant

    AASHTO 5.8.9.1A

    NSCP II-Sec. 5.5.5

    AASHTO 5.8.9.1A

    NSCP II-Sec. 5.5.5

    AASHTO 11.5.5

    AASHTO 11.5.5

    NSCP I--Sec.411.4.1.1

    NSCP I--Sec.411.2

    NSCP I--Sec.410.6.1

    NSCP I--Sec.410.6.1

    Therefore adopt design rho, des =

    Not Aplicable

    0.0034

  • Calculation for mechanical ratio, = des*fy/fc'

    Check for the req'd thickness of the ft., hreq'd = sqrt(Mu/(f*fc'*b**(1-0.59*)) mm

    Calculate for the total req'd steel area, As = des*b*heff mm2

    Calculation for main steel area provided, Apro = PI()*(h2)/4 mm

    2

    Calculation for number of bars per strip, N = As/Apro pcs

    Calculation for req'd main bar spacing, Sreq'd = b/N mm

    Therefore use: 10 - 12mm main steel bar in heel spaced @100mm O.C

    Temperature and Shrinkage bar: TOP BARS

    For grade 276 bars, steel ratio, temp

    Calculation for req'd steel area,Areq'd = temp*L*h mm2

    Calculation for temp and shrink bar provided, Apro = PI()*tb2/4 mm

    2

    Calculation for number of bar per meter strip, N = Areq'd/Apro pcs

    Calculate for req'd spacing, Sreq'd = L/N mm

    Check for Spacing, 5*h mm

    450 mm mm

    Therefore use: 17 - 10mm temperature and shrinkage bar space @90mm O.C

    DESIGN OF REINFORCEMENT OF TOE:

    Fig. 2 Trapeziodal Pressure Diagram

    Note:

    - The max. pressure at the

    base footing create bending

    moment at the stem of wall

    and shear. The designer

    choose to neglect the soil

    on top of footing .

    Calculation for dist. From toe to the face of stem, (L-t)/2 mm

    Calculation for valu of q1 = qumax - qumin kPa

    Calculation for value of q2 = (q1*(L-t)/2)/L kPa

    17

    90

    2000

    450

    0.0020

    1280.00

    78.540

    123.95

    1078.74

    113.10

    10

    100

    The assumed base/footing thickness is satisfactory

    0.0500

    21.544

    9.089

    Compliant

    Per meter strip

    NSCP I- Sec. 407.13.2.1

    NSCP I- Sec 407.13.2.2

    NSCP I- Sec 407.13.2.2

    675.00

    (L-t)/2

    R2

    R1

    qumax

    qumin

    q2

    q1

    Calculation for value of q2 = (q1*(L-t)/2)/L kPa

    Calculation for value of R1 = (qumax - q2)*((L-t)/2)*b KN

    Calculation for value of R2 = 1/2*(q2)*((L-t)/2)*b KN

    Calculation for factored shear, Vu = 1.6*(R1+R2) KN

    Calculation for factored moment, Mu = 1.6*(R1*(L-t)/4) + 1.6*(R2*(2/3)*((L-t)/2)) KN

    Nominal Shear provided by concrete, Vc = 0.17**SQRT(fc')*b*heff KN

    Calculation for factored shear provided by concrete, sVc

    Coefficeint of resistance, Rn = Mu / (f*b*heff) Mpa

    Check for rho min , sqrt(fc')/4*fy

    Rho min should not be less than with, 1.4/fy

    Therefore adopt rho min, min =

    Calculate for theoritical rho, = (0.85*fc'/fy)*(1 - sqrt(1 - 2*Rn/(0.85*fc'))

    Calculate for rho balnce, b = 0.85*fc'*1*600 / fy*(600 + fy)

    Calculate for rho max, max = 0.75*b

    Therefore adopt design rho, des =

    Calculation for mechanical ratio, = des*fy/fc'

    Check for the req'd thickness of the ft., hreq'd = sqrt(Mu/(f*fc'*b**(1-0.59*)) mm

    Calculate for the total req'd steel area, As = des*b*heff mm2

    Calculation for main steel area provided, Apro = PI()*(h2)/4 mm

    2

    Calculation for number of bars per strip, N = As/Apro pcs

    Calculation for req'd main bar spacing, Sreq'd = b/N mm

    Therefore use: 10 - 12mm main steel bar @ toe spaced @100mm O.C

    Temperature and Shrinkage bar: BOT BARS

    For grade 276 bars, steel ratio, temp

    Calculation for req'd steel area,Areq'd = temp*L*h mm2

    Calculation for temp and shrink bar provided, Apro = PI()*tb2/4 mm

    2

    Calculation for number of bar per meter strip, N = Areq'd/Apro pcs

    Calculate for req'd spacing, Sreq'd = L/N mm

    Check for Spacing, 5*h mm

    450 mm mm

    Therefore use: 17 - 10mm temperature and shinkage bar @ toe spaced @90mm O.C

    N.A

    N.A

    0.0034

    0.0500

    The assumed base/footing thickness is satisfactory

    0.200

    0.0032

    0.0034

    0.0034

    0.0005

    18.312

    286.96

    215.22

    9.089

    29.822

    3.068

    52.623

    78.540

    17

    90

    2000

    450

    0.0020

    1280.00

    122.37

    1078.74

    113.10

    10

    100

    Compliant

    Non-compliant

    Compliant

    NSCP I--Sec.411.4.1.1

    NSCP I--Sec.411.2

    NSCP I--Sec.410.6.1

    NSCP I--Sec.410.6.1

    NSCP Sec 407.13.2.2

    NSCP Sec 407.13.2.2

    NSCP Sec. 407.13.2.1

    The footing thickness h is adeqaute to carry such shear stresses

    Use rho minimum for design

    Not Aplicable

  • Fig. 3 . Passive Earth Pressure

    Total active pressure, F = Psoil + Psur KN

    Vertical Resultant, Ry= KN

    Required resistant for sliding, Fu =1.5*F KN

    Friction Resistance , Fr = *Ry KN

    Furnished Resisitance,R = Fu - Fr KN

    Required height of Shear Key, hT = sqrt(2*R/(s*kp)) mm

    Height of shear key, hs = hT - h mm

    Calculation for Coefficient of Passive Pressure, kp = (1 + sin)/(1 - sin)

    Passive Rectangular Pressure at the face of shear key, Pp1 = s*h*hs*b*kp KN

    Passive Triangular Pressure at the face of shear key, Pp2 = (1/2)*(s)*(hs^2)*b*kp KN

    Maximum factored moment, Mu = 1.6*(Pp1*hs/2 + Pp2*(2hs/3)) KN.m

    Use rho min, min

    Calculation for mechanical ration, = min*fy/fc'

    Calculation for Coefficient of Resistance, Rn = fc'**(1 - 0.59*) Mpa

    Calculate for shear key thickness, a = sqrt(Mu/f*Rn*b) mm

    Factore shear force, Vu = 1.6*(R) KN

    Nominal Shear provided by concrete, Vc = 0.17**SQRT(fc')*b*heff KN

    Calculation for factored shear provided by concrete, sVc KN

    Summary of Shear Key section : Total Heigth, hsT = hs + Cc + vr/2 mm

    Total Width, aT = a + Cc + vr/2 mm

    H. Results & Reinforcement Arragement

    BASE SHEAR KEY NOMENCLATURE

    24.322

    43.275

    32.456

    3.4992

    3.5831808

    0.0034

    0.0500

    1.359

    60.00

    3.00

    7.776

    Compliant

    NSCP I--Sec.411.4.1.1

    NSCP I--Sec.411.2

    The shear key thickness is adequate to carry such shear stress

    Therefore, for the reinforcement of shear key extent the vertical bars at the rear face to the shear key

    450.00

    150.00

    32.799

    67.995

    49.199

    33.998

    15.201

    760.00

    360.00

    Pp1

    Pp2

    h

    hS

    hT

    a

    R

    H. Results & Reinforcement Arragement

    6- 12mm space @ 160mm O.C

    24-10mm space @

    160mm O.C

    EXPOSED FACE OF BASEMENT

    WALL.

    8 - 10mm spaced @ SOIL BACKFILL @ REAR

    120mm O.C FACE OF THE WALL.

    24 - 10mm spaced @

    120mm O.C

    10 - 12mm

    10 - 12mm spaced @100mm O.C

    spaced @100mm O.C

    TOE HEEL

    17 - 10mm

    space @90mm O.C

    17 - 10mm

    spaced @90mm O.C

    REVISION NO. DESCRIPTION OF REVISION DATE CHECKED DATE APPROVED

  • Fig.1 Pressure Diagram induced by Seismic Force & Surcharge

    Weights and Forces: Consider 1.0 meter strip

    Weight due to concrete wall, W1 = c*(h1-h)*b*t KN

    Weight due to concrete footing, W2 = c*L*b*h KN

    Weight to soil backfill, W3 = s*((L-t)/2)*(h1-h)*b KN

    Reaction induced by slab @ the upper level, RB KN

    Force induced by seismic, PAE = (0.375(kh)(ws)(h1)2) KN

    Force induced by surcharge load, Psur KN

    14.702

    7.569

    35.235

    5.863

    17.400

    15.360

    CHECK FOR STABILITY FOR SEISMIC CONDITION

    A

    BRB

    d5

    d7

    d2

    d3

    PAE

    Psur

    W1

    W2

    W3

    L

    h

    d4

    TOEHEEL

    d6

    Moment arm about toe:

    Moment arm for soil induced force, d7 = 2*h1/3 mm

    Moment arm for surcharge force, d2 = h1/2 mm

    Moment arm for force due to slab above level, d3 = h1 mm

    Moment arm for soil backfill, d4 = L - (L-t)/4) mm

    Moment arm for wight concrete wall, d5 = L/2 mm

    Moment arm for weight of concrete footing, d6 L/2 mm

    Check for factor of safety as per code provision:

    Resisting Moment, RM = (RB*d3)+(W1*d5)+(W2*d6)+(W3*d4) KN.m

    Overturning Moment, OM = (PAE*d1) + (Psur*d2) KN.m

    Summation for vertical forces, Ry = W1 + W2 + W3 KN

    Check for factor of safety against sliding, FSSL = *(RY/(Psoil+Psur))

    Check for factor of safety against overturning, FSOT= RM/OMAASHTO 5.8.9.1A 2.01 Compliant

    NSCP II-Sec. 5.5.5 Therefore, Basement Retaining Wall is safe agaisnt overturning, section increase not needed

    AASHTO 5.8.9.1A 2.07 Compliant

    NSCP II-Sec. 5.5.5 Thefore, Basement Retaining Wall is safe against sliding, Shear Key is not Needed

    44.832

    67.995

    90.042

    800.00

    800.00

    3300.00

    1262.50

    2200.00

    1650.00

    01 Fig & Loads.pdf02 Normal Condition.pdf03 Seismic Condition.pdf