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Subject: Reliability & Redundancy Check Prepared by: DSV

Project: Date: 11/2/1997

UBC 1630.1.1

considering Dual System

For Shearwall (x - direction)

= 1058.75 = the ground floor area of structure or may be taken as the average

floor area in the upper setback portion of the bldg. where a large

base area exists at the ground floor

= 8.3 m. = length of wall along x-direction

V = 11087.4 KN V = base shear

Ground floor:

= 26966.8 KN = = 0.89 = element story shear ratio

Second floor:

= 8294.79 KN = = 0.27

= 0.894 = the maximum element-story shear

(30-3)SI system: English system:

r = 2 -6.1

= 1.79 r = 2 -20

r = 80% x 1.79 = 1.43 > 1.0 adopt computed p 1.43

For Shearwall (y - direction)

= 3.25 m. = length of wall along y-direction

Ground floor:

= 9823.56 KN = = 0.83

Second floor:

= 1461.67 KN = = 0.12

= 0.831

r = 2 -6.1

= 1.775

AB m2 AB

Lw Lw

Solving for rmax @ shearwall

Vw ri (3.05Vw / Lw) / V ri

Vw ri (3.05Vw / Lw) / V

Use rmax rmax

rmax AB rmax AB

But for dual system, the value of r need not exceed 80% of r(shearwall)

r1 =

Lw Lw

Solving for rmax @ shearwall

Vw ri (3.05Vw / Lw) / V

Vw ri (3.05Vw / Lw) / V

Use rmax

rmax AB

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r = 80% x 1.775 = 1.42 > 1.0 adopt computed p 1.42

For SMRF (considering 1/3 height)

Ground floor:

= 630.74 KN = shear of two adjacent columns in a moment frame bay

= 624.294 KN = 25% are used since shearwall carries 75% of baseshear

= 25%

= = 0.45

Ground floor:

= 183.854 KN = = 0.11

= 121.044 KN

= 25%

= 0.453 for x-direction

Ground floor:

= 562.166 KN = = 0.41

= 568.854 KN

= 25% KN

Ground floor:

= 538.824 KN = = 0.38

= 509.564 KN

= 25% KN

= 0.408 for y-direction

= 0.453

r = 2 -6.1

= 1.586> 1.25 for SMRF ; use p = 1.25

<1.5 for Dual System ; use p = 1.5

But for dual system, the value of r need not exceed 80% of r(shearwall)

r2 =

Solving for rmax along x - direction:

Vw1 Vw1-2

Vw2 %Sw

%Sw

ri (Vw1 + Vw2 )/ (%SW x V)

Vw1 ri (Vw1 + Vw2 )/ (%SW x V)

Vw2

%Sw

rmax

Solving for rmax along y- direction:

Vw1 ri (Vw1 + Vw2 )/ (%SW x V)

Vw2

%Sw

Vw1 ri (Vw1 + Vw2 )/ (%SW x V)

Vw2

%Sw

rmax

Use rmax

r3 =

rmax AB r4 =

r shall not be taken less than 1.0 and need not be greater than 1.5

For SMRF except when used in dual system, r shall not exceed 1.25

For structure located in Seismic Zone 0, 1 or 2, r shall be taken to 1.0

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therefore: r = 1.50

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the ground floor area of structure or may be taken as the average

floor area in the upper setback portion of the bldg. where a large

base area exists at the ground floor

element story shear ratio

the maximum element-story shear

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1.25

1.50

r3 =

r4 =

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