2.7. Equivalent 2.7. Equivalent Static Static Load MethodLoad Method

EARTHQUAKEEARTHQUAKE ENGINEERINGENGINEERING

2.7.1. Egyptian Code2.7.1. Egyptian Code

2.7.2. UBC Code 2.7.2. UBC Code

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr2

Base ShearBase Shear

W

W

W

W

1

4

2

1

H

H

H

H

1

3

4

2

V=Z.I.K.C.S.W

Z Zone Factor

I Importance FactorK Structural System Factor

C Structure Factor

S Soil Factor

W Design Weight

Base Shear

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr3

Zone FactorZone Factor

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr4

Importance Importance FactorFactor

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr5

Structural System Structural System FactorFactor

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr6

Structure FactorStructure Factor

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr7

Soil FactorSoil Factor

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr8

Design Design WeightWeight

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr9

Story Forces Story Forces

Story Forces

Top Story Additional Force

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr10

Design EccentricityDesign Eccentricity

e Actual eccentricity

0.05B Accidental eccentricity

B Building Breadth

2.7. Equivalent Static Load Egyptian Code

Prof.Dr. Osman Shaalan Earthquake Engineering Dr. Tharwat Sakr11

Building ExampleBuilding ExampleBuilding RC B+G+10+R

Floor Plan As shown in the drawing

Floors Basement 4m Parking

Ground 5 m Commercial

First 5m Commercial

Typical 3.5m Office

Roof 3m Roof

Location Zagazig

Soil medium dense clay 20m then Sand

Floor Area 800 m2 (assumed 20X40m)

Roof Area 200 m2

Slab thickness 200mm

2.7. Equivalent Static Load Egyptian Code

2.7. Equivalent Static Load Egyptian Code

Building Example Building Example SolutionSolution

Zone Factor Z =0.2 Zone 2

Importance factor I =1 Commercial

Structural System K =1.33

Soil factor =1.15

V = ZIKCSW

Time Period (formula1) =0.1*13 =1.3 sec

(formula 2) =0.9*52/20 =0.976 sec

Structure Factor C =1/15 T =0.0675

2.7. Equivalent Static Load Egyptian Code

Loads DL 0.2*25+2+3.5

= 10.5 kN/m2

Design Weight =(10.5+5)*20*40

=12400 kN Ground, first

and =(10.5)*20*40

=8400 kN floors above first

and =(10.5)*200

=2100 kN roof

Total Weight =12400*2+8400*10+2100

=110900 kN

2.7. Equivalent Static Load Egyptian Code

Base Shear V =0.2*1*1.33*.0675*1.15*110900

=2289 kN

Top Force =0.07*1.05*2289

=156.4 kN

2.7. Equivalent Static Load Egyptian Code

FloorwELEVWHForces01240044960038.3112400911160086.18284001411760090.813840017.5147000113.54840021176400136.25840024.5205800158.96840028235200181.67840031.5264600204.388400352940002279840038.5323400249.7

10840042352800272.4R840045.5382200295.1TR210048.510185078.65SUM11090027620502133