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    DESIGN OF A REINFORCEDCONCRETE BUILDING

    ACCORDING TO THE

    NATIONAL STRUCTURAL CODE OFTHE PHILIPPINES 2010

    RONALDO S. ISON, PP, F.ASEP, F.PICE

    CIVIL/STRUCTURAL ENGINEER

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    Outline of Presentation

    RECLASSIFICATION OF STRUCTURES

    REVIEW OF LOADING REQUIREMENTS AND CHANGES

    DESIGN CRITERIA

    SAMPLE PROBLEM STRUCTURAL SYSTEMS P-DELTA EFFECTS AND MAXIMUM INELASTIC DRIFT

    LOADING COMBINATIONS

    DESIGN OF BEAMS

    DESIGN OF COLUMNS

    DESIGN OF SHEARWALLS

    SCALING OF STATIC AND DYNAMIC BASE SHEAR

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    RECLASSIFICATION OF STRUCTURES

    OCCUPANCY CATEGORY OCCUPANCY OR FUNCTION OF STRUCTURE

    I Essential Facilities

    Occupancies having surgery and emergency treatment areas,

    Fire and police stations,

    Garages and shelters for emergency vehicles and emergency aircraft,

    Structures and shelters in emergency preparedness centers,

    Aviation control towers,

    Structures and equipment in communication centers and other

    facilities required for emergency response,

    Facilities for standby power-generating equipment for Category I

    structures,

    Tanks or other structures containing housing or supporting water or

    other fire-suppression material or equipment required for the

    protection of Category I, II or III structures,

    School buildings of more than one story,

    Hospitals and

    Designated evacuation centers.

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    GRAVITY LOADS

    DEAD LOADS

    - weight of materials incorporated

    in construction, including walls,floors, roofs, ceiling, stairways,finishes etc.

    - permanent/semi-permanentloads

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    Minimum Design Dead Loads

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    GRAVITY LOADS

    LIVE LOADS

    - maximum load expected by the

    intended use or occupancy

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    Minimum Design Live Loads

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    LATERAL LOADS - WIND

    SCOPE

    - buildings, towers and other

    vertical structures, including

    components and claddings

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    Wind Velocity Pressures

    qz = 47.3x10-6 Kz Kzt KdV

    2Iw

    qz : velocity pressure at height, z

    Kz: : velocity pressure exposure coefficient

    Kzt

    : topographic factor

    Kd : wind directionality factor

    V : basic wind speed, kph

    Iw

    : importance factor

    LATERAL LOADS - WIND

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    WIND

    VelocityPressure

    ExposureCoefficients,

    Kz

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    Structural TypeDirectionality Factor

    Kd*

    Buildings

    Main Wind Force Resisting System

    Components and Cladding

    0.85

    0.85

    Arched Roofs 0.85

    Chimneys, Tanks, and Similar Structures

    Square

    Hexagonal

    Round

    0.90

    0.95

    0.95

    Solid Signs 0.85

    Open Signs and Lattice Framework 0.85

    Trussed Towers

    Triangular, square, rectangularAll other cross sections

    0.85

    0.95

    WIND Directionality Factor, Kd

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    Zone 1(V= 250 kph)Albay, Aurora, Batanes, Cagayan, Camarines Norte, Camarines Sur, Catanduanes, EasternSamar, Isabela, Northern Samar, Quezon, Quirino, Samar, Sorsogon

    Zone 2(V= 200 kph)Abra, Agusan del Norte, Agusan del Sur, Aklan, Antique, Apayao, Bataan, Batangas, Benguet,Biliran, Bohol, Bulacan, Camiguin, Capiz, Cavite , Cebu , Compostela Valley , Davao Oriental,Guimaras, Ifugao, Ilocos Norte, Ilocos Sur, Iloilo, Kalinga, La Union, Laguna, Leyte, Marinduque,Masbate , Misamis Oriental, Mountain Province, National Capital Region, Negros Occidental,Negros Oriental, Nueva Ecija, Nueva Vizcaya, Occidental Mindoro, Oriental Mindoro,Pampanga, Pangasinan, Rizal, Romblon, Siquijor, Southern Leyte, Surigao del Norte, Surigao

    del Sur, Tarlac, Zambales

    Zone 3(V= 150 kph)Basilan, Bukidnon, Davao del Norte, Davao del Sur, Lanao del Norte, Lanao del Sur,Maguindanao, Misamis Occidental, North Cotabato , Palawan , Sarangani, South Cotabato ,Sultan Kudarat, Sulu, Tawi-tawi, Zamboanga del Norte, Zamboanga del Sur, ZamboangaSibugay

    WIND Basic Wind Speed, V

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    WIND Importance Factor, Iw

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    WIND Determination of qz

    GIVEN: Hospital Building

    h = 30m Exposure C Legaspi City Flat terrain

    qz = 47.3x10-6 Kz Kzt KdV2Iwq30 = 47.3x10

    -6 (1.26)(1.0)(0.85)(250)2 (1.15)

    = 3.64 kPa

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    LATERAL LOADS - SEISMIC

    SCOPE

    - Structures or portions thereof shall be, as aminimum, be designed and constructed to resist

    the effects of seismic ground motion

    SEISMIC AND WIND DESIGN

    - When the code prescribed produces greatereffects, the wind design shall govern, butdetailing requirements and limitations of Section208 Earthquake Loads shall be followed.

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    (208-4)

    The total design base shear need not exceed the following:

    (208-5)

    The total design base shear shall not be less than the following:

    (208-6)

    In addition, for Seismic Zone 4, the total base shear shall also not be

    less than the following:

    (208-7)

    WRT

    ICV

    v=

    WR

    IC

    Va5.2

    =

    WICVa

    11.0=

    W

    R

    IZNV

    v8.0

    =

    SEISMIC DESIGN BASE SHEAR

    STATIC DESIGN PROCEDURE

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    SEISMIC

    Fault Map

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    SEISMIC ZONE

    Zone 2, Z= 0.2

    Palawan, Tawi-

    Tawi, Sulu

    Zone 4, Z = 0.4

    Rest of the

    Philippines

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    Occupancy

    Category 1

    SeismicIMPORTANCE

    Factor, I

    SeismicImportance 2

    Factor, Ip

    I. EssentialFacilities3

    1.25 1.50

    II. HazardousFacilities

    1.25 1.50

    III. SpecialOccupancyStructures4

    1.00 1.00

    IV. StandardOccupancyStructures4

    1.00 1.00

    V. Miscellaneousstructures

    1.00 1.00

    Occupancy

    Category 1

    SeismicImportance

    Factor, I

    SeismicImportance 2

    Factor, Ip

    I. Essential Facilities3 1.50 1.50

    II. HazardousFacilities

    1.25 1.50

    III. Special OccupancyStructures 4

    1.00 1.00

    IV. StandardOccupancyStructures 4

    1.00 1.00

    V. Miscellaneousstructures

    1.00 1.00

    Seismic Importance Factor for Essential Structuresis increased.

    NSCP 2001 NSCP 2010

    SEISMIC Importance Factor, I

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    SEISMIC Seismic Source Type

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    SEISMIC Near Source Factor, Na , Nv

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    SEISMIC Seismic Coefficients, Ca , Cv

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    SEISMIC Structural Systems, R

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    DESIGN CRITERIA

    Material Properties

    fc = 28 MPa

    fy = 414 Mpa

    Service Loads

    Floor Live Load = 1.90 kPa (residential)

    Floor Dead Load = 6.00 kPa

    Roof Live Load = 4.80 kPa

    Roof Dead Load = 3.00 kPa

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    DESIGN CRITERIA

    Seismic Design Data

    Seismic Zone 4

    Seismic Source Type B

    Soil Profile Type SB

    Seismic Importance Factor = 1.0

    Response Modification Factor, R = 8.5

    Ct = 0.030

    Na =1.2, Nv = 1.6

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    COMPARISON LEVEL EQ FORCES

    MRF DUAL

    Story Case FX FX

    ROOF EQX 2,719.37 2,768.48

    STORY14 EQX 1,912.73 1,955.25

    STORY13 EQX 1,778.51 1,818.04

    STORY12 EQX 1,644.28 1,680.83STORY11 EQX 1,510.05 1,543.62

    STORY10 EQX 1,375.83 1,406.41

    STORY9 EQX 1,241.60 1,269.20

    STORY8 EQX 1,107.37 1,131.99

    STORY7 EQX 973.15 994.78

    STORY6 EQX 838.92 857.57

    STORY5 EQX 704.69 720.36

    STORY4 EQX 570.46 583.15

    STORY3 EQX 436.24 445.94

    STORY2 EQX 302.01 308.72

    STORY1 EQX 168.98 173.16

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    DRIFT RATIOS MRF SYSTEM

    ACTUAL ALLOWABLE ACTUAL ALLOWABLEStory Load UX UY h SX SY SX SY MX MY MX MY

    ROOF EQX 0.5108 0.0000 3.200 0.0075 0.0075 0.0446 0.0640

    ROOF EQY 0.0000 0.5598 0.0089 0.0075 0.0530 0.0640

    STORY14 EQX 0.5033 0.0000 3.200 0.0114 0.0075 0.0678 0.0640

    STORY14 EQY 0.0000 0.5509 0.0131 0.0075 0.0779 0.0640

    STORY13 EQX 0.4919 0.0000 3.200 0.0155 0.0075 0.0922 0.0640

    STORY13 EQY 0.0000 0.5378 0.0173 0.0075 0.1029 0.0640

    STORY12 EQX 0.4764 0.0000 3.200 0.0192 0.0075 0.1142 0.0640

    STORY12 EQY 0.0000 0.5205 0.0214 0.0075 0.1273 0.0640

    STORY11 EQX 0.4572 0.0000 3.200 0.0226 0.0075 0.1345 0.0640

    STORY11 EQY 0.0000 0.4991 0.0253 0.0075 0.1505 0.0640

    STORY10 EQX 0.4346 0.0000 3.200 0.0258 0.0075 0.1535 0.0640

    STORY10 EQY 0.0000 0.4738 0.0286 0.0075 0.1702 0.0640

    STORY9 EQX 0.4088 0.0000 3.200 0.0287 0.0075 0.1708 0.0640

    STORY9 EQY 0.0000 0.4452 0.0317 0.0075 0.1886 0.0640

    STORY8 EQX 0.3801 0.0000 3.200 0.0312 0.0075 0.1856 0.0640

    STORY8 EQY 0.0000 0.4135 0.0344 0.0075 0.2047 0.0640

    STORY7 EQX 0.3489 0.0000 3.200 0.0334 0.0075 0.1987 0.0640

    STORY7 EQY 0.0000 0.3791 0.0369 0.0075 0.2196 0.0640

    STORY6 EQX 0.3155 0.0000 3.200 0.0354 0.0075 0.2106 0.0640

    STORY6 EQY 0.0000 0.3422 0.0389 0.0075 0.2315 0.0640

    STORY5 EQX 0.2801 0.0000 3.200 0.0371 0.0075 0.2207 0.0640

    STORY5 EQY 0.0000 0.3033 0.0408 0.0075 0.2428 0.0640

    STORY4 EQX 0.2430 0.0000 3.200 0.0390 0.0075 0.2321 0.0640

    STORY4 EQY 0.0000 0.2625 0.0428 0.0075 0.2547 0.0640

    STORY3 EQX 0.2040 0.0000 3.200 0.0422 0.0075 0.2511 0.0640

    STORY3 EQY 0.0000 0.2197 0.0464 0.0075 0.2761 0.0640

    STORY2 EQX 0.1618 0.0000 3.200 0.0516 0.0075 0.3070 0.0640

    STORY2 EQY 0.0000 0.1733 0.0565 0.0075 0.3362 0.0640

    STORY1 EQX 0.1102 0.0000 4.000 0.1102 0.0094 0.6557 0.0800

    STORY1 EQY 0.0000 0.1168 0.1168 0.0094 0.6950 0.0800

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    P-DELTA AND STORY DRIFT LIMITS

    P-DELTA EFFECTS may be neglected if

    s 0.02h/R,

    for the the MRF SYSTEM building, all s greater

    than allowable, therefore, P-DELTA analysis isrequired.

    MAXIMUM INELASTIC DRIFT,

    M = .07*R* s < .02h for T > 0.7sfor the MRF Building, STORY 1 to 14 exceeded

    maximum allowable drift.

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    DRIFT RATIOS DUAL SYSTEMACTUAL ALLOWABLE ACTUAL ALLOWABLE

    Story Load UX UY h SX SY SX SY MX MY MX MY

    ROOF EQX 0.5049 0 3.200 0.0075 0.0075 0.0446 0.0640

    ROOF EQY 0 0.1279 0.0095 0.0075 0.0565 0.0640

    STORY14 EQX 0.4974 0 3.200 0.0113 0.0075 0.0672 0.0640

    STORY14 EQY 0 0.1184 0.0099 0.0075 0.0589 0.0640

    STORY13 EQX 0.4861 0 3.200 0.0153 0.0075 0.0910 0.0640

    STORY13 EQY 0 0.1085 0.0100 0.0075 0.0595 0.0640

    STORY12 EQX 0.4708 0 3.200 0.0190 0.0075 0.1131 0.0640

    STORY12 EQY 0 0.0985 0.0102 0.0075 0.0607 0.0640

    STORY11 EQX 0.4518 0 3.200 0.0224 0.0075 0.1333 0.0640

    STORY11 EQY 0 0.0883 0.0103 0.0075 0.0613 0.0640

    STORY10 EQX 0.4294 0 3.200 0.0256 0.0075 0.1523 0.0640

    STORY10 EQY 0 0.078 0.0103 0.0075 0.0613 0.0640

    STORY9 EQX 0.4038 0 3.200 0.0284 0.0075 0.1690 0.0640

    STORY9 EQY 0 0.0677 0.0102 0.0075 0.0607 0.0640

    STORY8 EQX 0.3754 0 3.200 0.0308 0.0075 0.1833 0.0640

    STORY8 EQY 0 0.0575 0.0100 0.0075 0.0595 0.0640

    STORY7 EQX 0.3446 0 3.200 0.0331 0.0075 0.1969 0.0640

    STORY7 EQY 0 0.0475 0.0096 0.0075 0.0571 0.0640

    STORY6 EQX 0.3115 0 3.200 0.0350 0.0075 0.2083 0.0640STORY6 EQY 0 0.0379 0.0090 0.0075 0.0536 0.0640

    STORY5 EQX 0.2765 0 3.200 0.0368 0.0075 0.2190 0.0640

    STORY5 EQY 0 0.0289 0.0082 0.0075 0.0488 0.0640

    STORY4 EQX 0.2397 0 3.200 0.0385 0.0075 0.2291 0.0640

    STORY4 EQY 0 0.0207 0.0072 0.0075 0.0428 0.0640

    STORY3 EQX 0.2012 0 3.200 0.0419 0.0075 0.2493 0.0640

    STORY3 EQY 0 0.0135 0.0059 0.0075 0.0351 0.0640

    STORY2 EQX 0.1593 0 3.200 0.0510 0.0075 0.3035 0.0640

    STORY2 EQY 0 0.0076 0.0045 0.0075 0.0268 0.0640

    STORY1 EQX 0.1083 0 4.000 0.1083 0.0094 0.6444 0.0800STORY1 EQY 0 0.0031 0.0031 0.0094 0.0184 0.0800

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    P-DELTA AND STORY DRIFT LIMITS

    P-DELTA EFFECTS may be neglected if

    s 0.02h/R,

    for the DUAL SYSTEM building, all s greater than

    allowable, therefore, P-DELTA analysis is required.

    MAXIMUM INELASTIC DRIFT,

    M = .07*R* s < .02h for T > 0.7s

    for the DUAL SYSTEM Building, X-direction (no walls)exceeded maximum allowable drift.

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    LOAD COMBINATIONS

    Buildings, towers and other vertical structures andall portions thereof shall be designed to resistthe load combinations in NSCP Section 203.3

    and 203.4.

    The critical effect can occur when one or more ofthe contributing loads are not acting.

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    LOAD DEFINITIONS

    D = dead load

    E = earthquake load set forth in Section 208.5.1.1

    Em = estimated maximum earthquake force that can be

    developed in the structure as set forth

    in Section 208.5.1.1

    F = load due to fluids with well-defined pressures and

    maximum heights

    H = load due to lateral pressure of soil and water in soil L = live load, except roof live load, including any permitted

    live load reduction

    Lr = roof live load, including any permitted live load reduction

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    R = rain load on the undeflected roof

    T = self-straining force and effects arising from contraction

    or expansion resulting from temperature change,

    shrinkage, moisture change, creep in component

    materials, movement due to differentialsettlement, or combinations thereof

    W = load due to wind pressure

    LOAD COMBINATIONS - Definitions

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    Load Combinations for RC Design

    U = 1.4 (D + F)

    U = 1.2 (D+ F+T) + 1.6 (L+H) + 0.5(Lr or R)

    U = 1.2 D + 1.6 (Lr or R) + (f1L or 0.80 W)

    U = 1.2 D + 1.6 W+ f1 L +0.5 (Lr or R)

    U = 1.2 D + 1.0 E+ f1 L

    U = 0.9 D + 1.6 W + 1.6 H

    U = 0.9 D + 1.0 E + 1.6 H

    f1 = 1.0 for floors in places of public assembly,

    for live loads in excess of 4.8 kPa, and for garage live load

    = 0.5 for other live loads

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    EARTHQUAKE LOAD, E

    Determination of earthquake load E:

    The earthquake load E consists of two components as shown belowin equation (208-1). Eh is due to horizontal forces, and Ev is due

    to vertical forces.E= Eh + Ev (Section 208-1)

    The moment due to vertical earthquake forces is calculated

    Ev

    = 0.5 Ca

    ID

    at Ca = 0.4 Na = 0.4(1.2) = 0.48 and= 1.0

    E= Eh + Ev = Eh + 0.24D

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    DESIGN OF BEAM B2

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    DESIGN OF BEAM B2 - SHEAR

    Mpr = As(1.25fy)*(d-a/2)

    where a = As(1.25fy)/0.85f cb

    for fc = 28MPa, fy = 414 MPa, d = 734mm

    Mpr for 6-top bars = 233 kNm

    Mpr for 3 bottom bars = 116 kNm

    Mpr for 5 top bars = 194 kNm

    Clear span

    = 9-.7 = 8.3m

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    DESIGN OF COLUMN C1 (700x700)

    Story Column Load Loc P V2 V3 T M2 M3

    STORY9 C1 SW T -1370.42 -51.24 51.07 0 81.54 -81.809

    STORY9 C1 SW B -1342.71 -51.24 51.07 0 -41.029 41.173

    STORY9 C1 LIVE T -335.99 -15.41 15.34 0 24.466 -24.576

    STORY9 C1 LIVE B -335.99 -15.41 15.34 0 -12.346 12.405

    STORY9 C1 DEAD T -819.85 -46.97 46.8 0 74.716 -74.977

    STORY9 C1 DEAD B -819.85 -46.97 46.8 0 -37.611 37.752

    STORY9 C1 EQX T 753.65 292.08 5.88 -6.281 9.397 384.637

    STORY9 C1 EQX B 753.65 292.08 5.88 -6.281 -4.724 -316.347

    STORY9 C1 EQY T -474.83 -22.32 84.76 10.469 140.692 -35.705

    STORY9 C1 EQY B -474.83 -22.32 84.76 10.469 -62.735 17.862

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    DESIGN OF COLUMN C1

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    DESIGN OF SHEARWALL SW1

    Story Pier Load Loc P V2 V3 T M2 M3

    STORY12 P1 SW Top

    -

    3624.44 0 9.82 0 -15.848 0

    STORY12 P1 SW Bottom

    -

    3794.08 0 9.82 0 15.587 0

    STORY12 P1 LIVE Top

    -

    1384.52 0 4.78 0 -7.76 0

    STORY12 P1 LIVE Bottom

    -

    1384.52 0 4.78 0 7.53 0

    STORY12 P1 DEAD Top

    -

    2809.99 0 11.44 0 -18.391 0

    STORY12 P1 DEAD Bottom

    -

    2809.99 0 11.44 0 18.224 0

    STORY12 P1 EQY Top 0 2201.69 0 15.871 0

    -

    4127.769

    STORY12 P1 EQY Bottom 0 2201.69 0 15.871 0 2917.637

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    DESIGN OF SHEARWALL SW1

    Vu = 1.4 (0)

    Vu = 1.2 (0) + 1.6 (0)

    Vu = 1.44 (0) + 1.0 (2201) + 0.5 (0)

    Vu= 1.14 (0) + 1.0 (2201)

    Vu = 2201 kN

    At least two curtains of reinforcements are neededif Vu > 0.167Acvfc

    > 0.167 (.4)(6.3)28 = 2226.87 kN

    therefore, one curtain is allowed

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    DESIGN OF SHEARWALL SW1

    Check if Vn exceeds max Vn = 0.667Acvfc ,max Vn = 13,361 kN, not exceeded

    Since, ratio hw/lw = 48.8/9 = 5.42 > 2, c= 0.17

    Vu = Acv(c(1/12)fc+nfy)

    = 0.75(.4)(8.3)*(0.17*.083*1*5.29+

    .0025*414)

    = 2763 kN > 2201 kN

    Ash = .0025*400*1000 = 1000 sq mm

    use 16d @ 400mm oc each face horizontal bars

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    DESIGN OF SHEARWALL SW1

    Since hw/lw >2, v may be less thanvuse min v = .0025

    Ash = .0025*400*1000 = 1000 sq mm

    use 16d @ 400mm oc each face vertical bars

    Check if boundary element is required,

    P/A + Mc/I < 0.2f c, no boundary element

    = (3794+1384+2810)/(9*.4) +

    4127(4.5)/(.4*9 3/12)

    = 2.992 MPa < 0.2(28), no BE required

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    DESIGN OF SHEARWALL SW1

    16D @ 400 MM OC

    VERT. BARS & HOR. BARS

    9.00 M

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    BASE REACTIONS

    Story Point Load FX FY FZ MX MY MZ

    Summation 0, 0, Base SW 0 0 133062.1 1796338 -2993897 0

    Summation 0, 0, Base LIVE 0 0 38151 515038.5 -858398 0

    Summation 0, 0, Base DEAD 0 0 105705 1427018 -2378363 0

    Summation 0, 0, Base EQX -17660.5 0 0 0 -573590 258059.5

    Summation 0, 0, Base EQY 0 -14516.03 0 506717.4 0 -359348

    Spec Mode Dir F1 F2 F3 M1 M2 M3

    SPEC1 All All 3156.29 0 0 0.003 93118.06 42609.98

    SPEC2 All All 0 3156.29 0 93118.06 0.003 42609.98

    STATIC BASE SHEAR, 1st run

    DYNAMIC BASE SHEAR, 1st run

    FOR REGULAR STRUCTURES

    Vdyn 0.9 VstatSFx = 17660 (0.9)/ 3156 = 5.036

    SFy = 14516 (0.9)/ 3156 = 4.139

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    Spec Mode Dir F1 F2 F3 M1 M2 M3

    SPEC1 All All 15895.1 0.01 0 0.015 468942.5 214583.9

    SPEC2 All All 0.01 13063.9 0 385415.6 0.012 176362.7

    BASE REACTIONS

    FOR REGULAR STRUCTURES

    Vdyn 0.9 Vstat

    15895 > 0.9(17660) = 15894 kN therefore, ok13063 > 0.9(14516) = 13063 kN therefore, ok

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    SCALE FACTORS

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