EARTHQUAKE ANALYSIS

National Building Code of the Philippines, 2010

· Sec. 208.1.3 Weight, W
The weight, W for non-building shall include all dead loads as defined for building in Section 208.6.1.
For the purpose of calculating design in seismic forces in non-building structures, W shall also include
all normal operating contents for items such as tank, vessels, bins and piping.

Computation of total weight of structure per level

Roof Level 27885.30 kN

3rd Floor Level 48961.20 kN
2nd Floor Level 52306.80 kN
Total Weight = 129151.30 kN

NSCP 2010 Static Force Procedure (Sec. 208.5.2)

· Seismic Importance Factor, I (Sec. 208.4.2/Table 208-1)

Special Occupancy Structures ; I = 1.00

· Seismic Source Type (Sec. 208.4.4.2/Table 208-4)

Type A M ≥ 7.0

· Near Source Factor, Na (Sec. 208.4.4.3/Table 208-5)

Type A ; ≥ 10 km ; A = 1.00

· Seismic Zone Factor, Z (Sec. 208.4.4.1/Table 208-3)

Zone 4 ; Z = 0.40

· Soil Profile Type (Sec. 208.4.3.1/Table 208-2)

Soil Type = SE ; SE = Soft Soil Type

· Seismic Coefficient, Ca, Cv (Sec. 208.4.4.4/Table 208-7,8)

Soil Type = SE ; Ca = 0.44, Cv = 0.96

· Near Source Factor, Nv (Sec. 208.4.4.3/Table 208-6)

Type A ; 10 km = 1.20

· Numerical Coefficient, R (Table 208-11A)

Moment-Resisting Frame Systems = 8.50

· Type of Structure (Table 208-11 Under C)

Special Moment-Resisting Frame
Special Composite Steel and Concrete Moment Frames

· Structure Period (Sec. 208.5.2.2)

Method A ; Ct = 0.0731 for reinforced concrete moment-resisting frames and
eccentrically braced frames
T = Ct(hn)3/4 ; hn = 4+4+3 = 11 meters
T = 0.44

Summary:
Computation of Base Shear, V (Sec. 208.5.2.1)

· The total design base shear in a given direction shall be determined from the following equation:

(208-8) V = CvI (0.96)(1.00)

RT W ; V = (8.50)(0.44)(129151.30) = 33151.14 kN

· The total design base shear need not exceed the following:

(208-9) V = 2.5CaI
R W;V=
2.5(0.44)(1.00)
8.50 (129151.30) = 16713.70 kN

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

(208-10) V = 0.11CaIW = 0.11(0.44)(1.00)(129151.30) = 6250.92 kN

· In addition, for Seismic Zone 4, the total base shear shall also not be less than the following:

(208-11) V = 0.8ZNvI
R W;V=
0.8(0.40)(1.20)(1.00)
8.50 (129151.30) = 5834.60 kN

CONDITION:
6250.92 < 16713.70 < 33151.14
5834.60 < 16713.70
Therefore Use V = 16713.70

Additional Force on Top, Ft (Sec. 208.5.2.3)

· The concentrated force Ft at the top, which is in addition to Fn, shall be determined from the equation:

(208-16) Ft =0.07TV ; Ft = 0.07(0.44)(16713.70) = 514.78 kN

· The value of T uses for the purpose of calculating Ft shall be period that corresponds with the design
base shear as computed using Eq. 208-4. Ft need not exceed 0.25V and may considered as zero where T
is 0.7 second or less.
Therfore Use Ft = 0.00

Distribution of Base Shear, V (each level)

WiHi
Fi = ∑WiHi Force = Fi x V

CHECKING:

Force = V
16713.70 = 16713.70
 Cm (34.09,43.68)

Cr (29.74,39.28)

Second Floor Level

From Center of Mass, Cm From Center of Rigidity, Cr

Xm = 34.09 Xr = 34.35
Ym = 43.68 Yr = 45.17

Eccentricity, e 5% Min. Eccentricity Provided by Code (Accidential Torsion)

ex = Xm - Xr = 34.09 - 34.35 = -0.26 ex = 87 m (0.05) = 4.35
ey = Ym - Yr = 43.68 - 45.17 = -1.49 ey = 88 m (0.05) = 4.40

Therefore, e = (4.35,4.40) for Second Floor Level

Third Floor Level

From Center of Mass, Cm From Center of Rigidity, Cr

Xm = 34.35 Xr = 34.45
Ym = 43.30 Yr = 45.17

Eccentricity, e 5% Min. Eccentricity Provided by Code (Accidential Torsion)

ex = Xm - Xr = 34.35 - 34.35 = 0 ex = 87 m (0.05) = 4.35
ey = Ym - Yr = 43.30 - 45.17 = -1.87 ey = 88 m (0.05) = 4.40

Therefore, e = (4.35,4.40) for Third Floor Level

Roof Level

From Center of Mass, Cm From Center of Rigidity, Cr

Xm = 26.28 Xr = 28.95
Ym = 44.56 Yr = 45.53

Eccentricity, e 5% Min. Eccentricity Provided by Code (Accidential Torsion)

ex = Xm - Xr = 26.28 - 28.95 = -2.67 ex = 87 m (0.05) = 4.35
ey = Ym - Yr = 44.56 - 45.53 = -0.97 ey = 88 m (0.05) = 4.40

Therefore, e = (4.35,4.40) for Roof Level

 Center of Mass 2nd Floor Level (Ref A-15)

Load (L) x y Lx Ly Load (L) x y Lx Ly

1-2 A-B 562.43 3.50 85.50 1968.51 48087.77 9-10 A-B 491.685 3.50 38.25 1720.90 18806.95
1-2 B-C 432.47 10.50 85.50 4540.94 36976.19 9-10 B-C 450.285 10.50 38.25 4727.99 17223.40
1-2 C-D 406.87 17.50 85.50 7120.23 34787.39 9-10 C-D 409.125 17.50 38.25 7159.69 15649.03
1-2 D-E 469.03 24.50 85.50 11491.24 40102.07 9-10 D-E 481.785 24.50 38.25 11803.73 18428.28
1-2 E-F 533.03 31.50 85.50 16790.45 45574.07 9-10 E-F 450.285 31.50 38.25 14183.98 17223.40
9-10 F-G 496.58 39.00 38.25 19366.62 18994.19
2-3 A-B 486.47 3.50 80.50 1702.65 39160.84 9-10 G-H 496.58 47.00 38.25 23339.26 18994.19
2-3 B-C 362.51 10.50 80.50 3806.36 29182.06 9-10 H-I 496.58 55.00 38.25 27311.90 18994.19
2-3 C-D 295.75 17.50 80.50 5175.63 23807.88 9-10 I-J 414.445 62.50 38.25 25902.81 15852.52
2-3 D-E 399.07 24.50 80.50 9777.22 32125.14 9-10 J-K 450.285 69.50 38.25 31294.81 17223.40
2-3 E-F 457.07 31.50 80.50 14397.71 36794.14 9-10 K-L 409.125 76.50 38.25 31298.06 15649.03
9-10 L-M 491.685 83.50 38.25 41055.70 18806.95
3-4 A-B 548.615 3.50 74.75 1920.15 41008.97
3-4 B-C 449.515 10.50 74.75 4719.91 33601.25 10-11 A-B 487.585 3.50 31.75 1706.55 15480.82
3-4 C-D 372.135 17.50 74.75 6512.36 27817.09 10-11 B-C 401.885 10.50 31.75 4219.79 12759.85
3-4 D-E 476.815 24.50 74.75 11681.97 35641.92 10-11 C-D 323.745 17.50 31.75 5665.54 10278.90
3-4 E-F 548.615 31.50 74.75 17281.37 41008.97 10-11 D-E 424.985 24.50 31.75 10412.13 13493.27
10-11 E-F 430.045 31.50 31.75 13546.42 13653.93
4-5 A-B 457.07 3.50 69.00 1599.75 31537.83 10-11 F-G 447.1 39.00 31.75 17436.90 14195.43
4-5 B-C 378.07 10.50 69.00 3969.74 26086.83 10-11 G-H 447.1 47.00 31.75 21013.70 14195.43
4-5 C-D 299.55 17.50 69.00 5242.13 20668.95 10-11 H-I 447.1 55.00 31.75 24590.50 14195.43
4-5 D-E 399.07 24.50 69.00 9777.22 27535.83 10-11 I-J 353.045 62.50 31.75 22065.31 11209.18
4-5 E-F 457.07 31.50 69.00 14397.71 31537.83 10-11 J-K 388.885 69.50 31.75 27027.51 12347.10
10-11 K-L 380.065 76.50 31.75 29074.97 12067.06
5-6 A-B 457.07 3.50 64.00 1599.75 29252.48 10-11 L-M 519.925 83.50 31.75 43413.74 16507.62
5-6 B-C 378.07 10.50 64.00 3969.74 24196.48
5-6 C-D 299.55 17.50 64.00 5242.13 19171.20 11-12 A-B 548.615 3.50 25.75 1920.15 14126.84
5-6 D-E 399.07 24.50 64.00 9777.22 25540.48 11-12 B-C 449.515 10.50 25.75 4719.91 11575.01
5-6 E-F 453.07 31.50 64.00 14271.71 28996.48 11-12 C-D 372.135 17.50 25.75 6512.36 9582.48
11-12 D-E 476.815 24.50 25.75 11681.97 12277.99
6-7 A-B 548.615 3.50 58.25 1920.15 31956.82 11-12 E-F 484.795 31.50 25.75 15271.04 12483.47
6-7 B-C 449.515 10.50 58.25 4719.91 26184.25 11-12 F-G 631.14 39.00 25.75 24614.46 16251.86
6-7 C-D 372.135 17.50 58.25 6512.36 21676.86 11-12 G-H 635.14 47.00 25.75 29851.58 16354.86
6-7 D-E 476.815 24.50 58.25 11681.97 27774.47 11-12 H-I 635.14 55.00 25.75 34932.70 16354.86
6-7 E-F 484.795 31.50 58.25 15271.04 28239.31 11-12 I-J 511.595 62.50 25.75 31974.69 13173.57
6-7 F-G 631.14 39.00 58.25 24614.46 36763.91 11-12 J-K 511.595 69.50 25.75 35555.85 13173.57
6-7 G-H 596.92 47.00 58.25 28055.24 34770.59 11-12 K-L 549.815 76.50 25.75 42060.85 14157.74
6-7 H-I 558.7 55.00 58.25 30728.50 32544.28 11-12 L-M 662.795 83.50 25.75 55343.38 17066.97
6-7 I-J 473.375 62.50 58.25 29585.94 27574.09
6-7 J-K 473.375 69.50 58.25 32899.56 27574.09 12-13 A-B 609.645 3.50 18.75 2133.76 11430.84
6-7 K-L 473.375 76.50 58.25 36213.19 27574.09 12-13 B-C 497.145 10.50 18.75 5220.02 9321.47
6-7 L-M 583.415 83.50 58.25 48715.15 33983.92 12-13 C-D 420.525 17.50 18.75 7359.19 7884.84
12-13 D-E 528.645 24.50 18.75 12951.80 9912.09
7-8 A-B 487.585 3.50 52.25 1706.55 25476.32 12-13 E-F 605.645 31.50 18.75 19077.82 11355.84
7-8 B-C 401.885 10.50 52.25 4219.79 20998.49
7-8 C-D 319.565 17.50 52.25 5592.39 16697.27 13-14 A-B 609.645 3.50 11.25 2133.76 6858.51
7-8 D-E 379.645 24.50 52.25 9301.30 19836.45 13-14 B-C 497.145 10.50 11.25 5220.02 5592.88
7-8 E-F 388.885 31.50 52.25 12249.88 20319.24 13-14 C-D 420.525 17.50 11.25 7359.19 4730.91
7-8 F-G 447.1 39.00 52.25 17436.90 23360.98 13-14 D-E 528.645 24.50 11.25 12951.80 5947.26
7-8 G-H 408.68 47.00 52.25 19207.96 21353.53 13-14 E-F 609.645 31.50 11.25 19203.82 6858.51
7-8 H-I 376.34 55.00 52.25 20698.70 19663.77
7-8 I-J 315.385 62.50 52.25 19711.56 16478.87 14-15 A-B 685.605 3.50 3.75 2399.62 2571.02
7-8 J-K 315.385 69.50 52.25 21919.26 16478.87 14-15 B-C 567.105 10.50 3.75 5954.60 2126.64
7-8 K-L 315.385 76.50 52.25 24126.95 16478.87 14-15 C-D 459.965 17.50 3.75 8049.39 1724.87
7-8 L-M 405.265 83.50 52.25 33839.63 21175.10 14-15 D-E 598.605 24.50 3.75 14665.82 2244.77
14-15 E-F 685.605 31.50 3.75 21596.56 2571.02
8-9 A-B 491.685 3.50 45.75 1720.90 22494.59
8-9 B-C 450.285 10.50 45.75 4727.99 20600.54
8-9 C-D 409.125 17.50 45.75 7159.69 18717.47 ΣLx = 1779327.00
8-9 D-E 440.625 24.50 45.75 10795.31 20158.59 ΣLy = 2280126.59
8-9 E-F 409.125 31.50 45.75 12887.44 18717.47 Total Load = 52200.76
8-9 F-G 496.58 39.00 45.75 19366.62 22718.54
8-9 G-H 490.5 47.00 45.75 23053.50 22440.38
Computation of x̅
8-9 H-I 490.5 55.00 45.75 26977.50 22440.38
8-9 I-J 409.125 62.50 45.75 25570.31 18717.47
8-9 J-K 409.125 69.50 45.75 28434.19 18717.47
52200.76 x̅ = 1779327.00
8-9 K-L 409.125 76.50 45.75 31298.06 18717.47 x̅ = 34.09
8-9 L-M 450.525 83.50 45.75 37618.84 20611.52

Computation of ȳ
52200.76 ȳ = 2280126.59
ȳ = 43.68

Therefore Cm = ( 34.09 , 43.68 )

 Center of Mass 3rd Floor Level (Ref A-15)

Load (L) x y Lx Ly Load (L) x y Lx Ly

1-2 A-B 524.63 3.50 85.50 1836.21 44855.87 9-10 A-B 578.07 3.50 38.25 2023.25 22111.18
1-2 B-C 403.7 10.50 85.50 4238.85 34516.35 9-10 B-C 473.715 10.50 38.25 4974.01 18119.60
1-2 C-D 378.1 17.50 85.50 6616.75 32327.55 9-10 C-D 391.395 17.50 38.25 6849.41 14970.86
1-2 D-E 392.5 24.50 85.50 9616.25 33558.75 9-10 D-E 448.455 24.50 38.25 10987.15 17153.40
1-2 E-F 454.07 31.50 85.50 14303.21 38822.99 9-10 E-F 426.855 31.50 38.25 13445.93 16327.20
9-10 F-G 462.23 39.00 38.25 18026.97 17680.30
2-3 A-B 458.72 3.50 80.50 1605.52 36926.96 9-10 G-H 462.23 47.00 38.25 21724.81 17680.30
2-3 B-C 341.63 10.50 80.50 3587.12 27501.22 9-10 H-I 456.15 55.00 38.25 25088.25 17447.74
2-3 C-D 274.87 17.50 80.50 4810.23 22127.04 9-10 I-J 385.695 62.50 38.25 24105.94 14752.83
2-3 D-E 330.43 24.50 80.50 8095.54 26599.62 9-10 J-K 385.695 69.50 38.25 26805.80 14752.83
2-3 E-F 388.16 31.50 80.50 12227.04 31246.88 9-10 K-L 391.395 76.50 38.25 29941.72 14970.86
9-10 L-M 583.77 83.50 38.25 48744.80 22329.20
3-4 A-B 477.41 3.50 74.75 1670.94 35686.40
3-4 B-C 385.945 10.50 74.75 4052.42 28849.39 10-11 A-B 459.07 3.50 31.75 1606.75 14575.47
3-4 C-D 349.725 17.50 74.75 6120.19 26141.94 10-11 B-C 380.495 10.50 31.75 3995.20 12080.72
3-4 D-E 404.665 24.50 74.75 9914.29 30248.71 10-11 C-D 302.355 17.50 31.75 5291.21 9599.77
3-4 E-F 477.41 31.50 74.75 15038.42 35686.40 10-11 D-E 396.335 24.50 31.75 9710.21 12583.64
10-11 E-F 408.655 31.50 31.75 12872.63 12974.80
4-5 A-B 347 3.50 69.00 1214.50 23943.00 10-11 F-G 417.43 39.00 31.75 16279.77 13253.40
4-5 B-C 274.87 10.50 69.00 2886.14 18966.03 10-11 G-H 417.43 47.00 31.75 19619.21 13253.40
4-5 C-D 278.67 17.50 69.00 4876.73 19228.23 10-11 H-I 379.01 55.00 31.75 20845.55 12033.57
4-5 D-E 330.43 24.50 69.00 8095.54 22799.67 10-11 I-J 293.995 62.50 31.75 18374.69 9334.34
4-5 E-F 388.16 31.50 69.00 12227.04 26783.04 10-11 J-K 293.995 69.50 31.75 20432.65 9334.34
10-11 K-L 326.335 76.50 31.75 24964.63 10361.14
5-6 A-B 388.16 3.50 64.00 1358.56 24842.24 10-11 L-M 491.41 83.50 31.75 41032.74 15602.27
5-6 B-C 316.03 10.50 64.00 3318.32 20225.92
5-6 C-D 278.67 17.50 64.00 4876.73 17834.88 11-12 A-B 518.57 3.50 25.75 1815.00 13353.18
5-6 D-E 371.59 24.50 64.00 9103.96 23781.76 11-12 B-C 427.105 10.50 25.75 4484.60 10997.95
5-6 E-F 426.76 31.50 64.00 13442.94 27312.64 11-12 C-D 349.725 17.50 25.75 6120.19 9005.42
11-12 D-E 445.825 24.50 25.75 10922.71 11479.99
6-7 A-B 477.41 3.50 58.25 1670.94 27809.13 11-12 E-F 461.665 31.50 25.75 14542.45 11887.87
6-7 B-C 385.945 10.50 58.25 4052.42 22481.30 11-12 F-G 592.17 39.00 25.75 23094.63 15248.38
6-7 C-D 349.725 17.50 58.25 6120.19 20371.48 11-12 G-H 594.73 47.00 25.75 27952.31 15314.30
6-7 D-E 445.825 24.50 58.25 10922.71 25969.31 11-12 H-I 556.51 55.00 25.75 30608.05 14330.13
6-7 E-F 461.665 31.50 58.25 14542.45 26891.99 11-12 I-J 443.075 62.50 25.75 27692.19 11409.18
6-7 F-G 592.17 39.00 58.25 23094.63 34493.90 11-12 J-K 443.075 69.50 25.75 30793.71 11409.18
6-7 G-H 594.73 47.00 58.25 27952.31 34643.02 11-12 K-L 481.295 76.50 25.75 36819.07 12393.35
6-7 H-I 594.73 55.00 58.25 32710.15 34643.02 11-12 L-M 622.7 83.50 25.75 51995.45 16034.53
6-7 I-J 481.295 62.50 58.25 30080.94 28035.43
6-7 J-K 443.075 69.50 58.25 30793.71 25809.12 12-13 A-B 578.07 3.50 18.75 2023.25 10838.81
6-7 K-L 443.075 76.50 58.25 33895.24 25809.12 12-13 B-C 473.715 10.50 18.75 4974.01 8882.16
6-7 L-M 543.32 83.50 58.25 45367.22 31648.39 12-13 C-D 397.095 17.50 18.75 6949.16 7445.53
12-13 D-E 495.315 24.50 18.75 12135.22 9287.16
7-8 A-B 417.91 3.50 52.25 1462.69 21835.80 12-13 E-F 575.51 31.50 18.75 18128.57 10790.81
7-8 B-C 339.335 10.50 52.25 3563.02 17730.25
7-8 C-D 298.175 17.50 52.25 5218.06 15579.64 13-14 A-B 578.07 3.50 11.25 2023.25 6503.29
7-8 D-E 350.995 24.50 52.25 8599.38 18339.49 13-14 B-C 473.715 10.50 11.25 4974.01 5329.29
7-8 E-F 367.495 31.50 52.25 11576.09 19201.61 13-14 C-D 397.095 17.50 11.25 6949.16 4467.32
7-8 F-G 417.43 39.00 52.25 16279.77 21810.72 13-14 D-E 495.315 24.50 11.25 12135.22 5572.29
7-8 G-H 417.43 47.00 52.25 19619.21 21810.72 13-14 E-F 578.07 31.50 11.25 18209.21 6503.29
7-8 H-I 417.43 55.00 52.25 22958.65 21810.72
7-8 I-J 326.335 62.50 52.25 20395.94 17051.00 14-15 A-B 643.98 3.50 3.75 2253.93 2414.93
7-8 J-K 293.995 69.50 52.25 20432.65 15361.24 14-15 B-C 535.785 10.50 3.75 5625.74 2009.19
7-8 K-L 293.995 76.50 52.25 22490.62 15361.24 14-15 C-D 500.325 17.50 3.75 8755.69 1876.22
7-8 L-M 417.91 83.50 52.25 34895.49 21835.80 14-15 D-E 557.385 24.50 3.75 13655.93 2090.19
14-15 E-F 643.98 31.50 3.75 20285.37 2414.93
8-9 A-B 578.07 3.50 45.75 2023.25 26446.70
8-9 B-C 473.715 10.50 45.75 4974.01 21672.46
8-9 C-D 391.395 17.50 45.75 6849.41 17906.32 ΣLx = 1678236.61
8-9 D-E 407.295 24.50 45.75 9978.73 18633.75 ΣLy = 2115369.65
8-9 E-F 385.695 31.50 45.75 12149.39 17645.55 Total Load = 48855.16
8-9 F-G 462.23 39.00 45.75 18026.97 21147.02
8-9 G-H 462.23 47.00 45.75 21724.81 21147.02
8-9 H-I 462.23 55.00 45.75 25422.65 21147.02 Computation of x̅
8-9 I-J 385.695 62.50 45.75 24105.94 17645.55
8-9 J-K 385.695 69.50 45.75 26805.80 17645.55
48855.16 x̅ = 1678236.61
8-9 K-L 391.395 76.50 45.75 29941.72 17906.32 x̅ = 34.35
8-9 L-M 583.77 83.50 45.75 48744.80 26707.48

Computation of ȳ

48855.16 ȳ = 2115369.65

ȳ = 43.30

Therefore Cm = ( 34.35 , 43.30 )

 Center of Mass Roof Level (Ref A-15)

Load (L) x y Lx Ly Load (L) x y Lx Ly

1-2 A-B 440.795 3.50 85.50 1542.78 37687.97 9-10 A-B 287.76 3.50 38.25 1007.16 11006.82
1-2 B-C 352.01 10.50 85.50 3696.11 30096.86 9-10 B-C 210.675 10.50 38.25 2212.09 8058.32
1-2 C-D 332.81 17.50 85.50 5824.18 28455.26 9-10 C-D 179.805 17.50 38.25 3146.59 6877.54
1-2 D-E 343.31 24.50 85.50 8411.10 29353.01 9-10 D-E 222.15 24.50 38.25 5442.68 8497.24
1-2 E-F 387.875 31.50 85.50 12218.06 33163.31 9-10 E-F 206.4 31.50 38.25 6501.60 7894.80
9-10 F-G 216.57 39.00 38.25 8446.23 8283.80
2-3 A-B 393.23 3.50 80.50 1376.31 31655.02 9-10 G-H 216.57 47.00 38.25 10178.79 8283.80
2-3 B-C 306.65 10.50 80.50 3219.83 24685.33 9-10 H-I 216.57 55.00 38.25 11911.35 8283.80
2-3 C-D 256.58 17.50 80.50 4490.15 20654.69 9-10 I-J 179.52 62.50 38.25 11220.00 6866.64
2-3 D-E 297.95 24.50 80.50 7299.78 23984.98 9-10 J-K 203.28 69.50 38.25 14127.96 7775.46
2-3 E-F 340.31 31.50 80.50 10719.77 27394.96
10-11 A-B 228.16 3.50 31.75 798.56 7244.08
3-4 A-B 423.125 3.50 74.75 1480.94 31628.59 10-11 B-C 170.455 10.50 31.75 1789.78 5411.95
3-4 B-C 355.73 10.50 74.75 3735.17 26590.82 10-11 C-D 142.72 17.50 31.75 2497.60 4531.36
3-4 C-D 328.565 17.50 74.75 5749.89 24560.23 10-11 D-E 182.005 24.50 31.75 4459.12 5778.66
3-4 D-E 369.38 24.50 74.75 9049.81 27611.16 10-11 E-F 191.575 31.50 31.75 6034.61 6082.51
3-4 E-F 423.125 31.50 74.75 13328.44 31628.59 10-11 F-G 192.785 39.00 31.75 7518.62 6120.92
10-11 G-H 168.53 47.00 31.75 7920.91 5350.83
4-5 A-B 340.31 3.50 69.00 1191.09 23481.39 10-11 H-I 192.785 55.00 31.75 10603.18 6120.92
4-5 B-C 287.45 10.50 69.00 3018.23 19834.05 10-11 I-J 164.695 62.50 31.75 10293.44 5229.07
4-5 C-D 259.43 17.50 69.00 4540.03 17900.67 10-11 J-K 201.28 69.50 31.75 13988.96 6390.64
4-5 D-E 297.95 24.50 69.00 7299.78 20558.55
4-5 E-F 340.31 31.50 69.00 10719.77 23481.39 11-12 A-B 257.96 3.50 25.75 902.86 6642.47
11-12 B-C 190.565 10.50 25.75 2000.93 4907.05
5-6 A-B 340.31 3.50 64.00 1191.09 21779.84 11-12 C-D 163.4 17.50 25.75 2859.50 4207.55
5-6 B-C 287.45 10.50 64.00 3018.23 18396.80 11-12 D-E 173.345 24.50 25.75 4246.95 4463.63
5-6 C-D 259.43 17.50 64.00 4540.03 16603.52 11-12 E-F 185.39 31.50 25.75 5839.79 4773.79
5-6 D-E 297.95 24.50 64.00 7299.78 19068.80 11-12 F-G 301.675 39.00 25.75 11765.33 7768.13
5-6 E-F 338.84 31.50 64.00 10673.46 21685.76 11-12 G-H 274.48 47.00 25.75 12900.56 7067.86
11-12 H-I 303.145 55.00 25.75 16672.98 7805.98
6-7 A-B 257.96 3.50 58.25 902.86 15026.17 11-12 I-J 260.885 62.50 25.75 16305.31 6717.79
6-7 B-C 190.565 10.50 58.25 2000.93 11100.41 11-12 J-K 305.525 69.50 25.75 21233.99 7867.27
6-7 C-D 163.4 17.50 58.25 2859.50 9518.05
6-7 D-E 204.215 24.50 58.25 5003.27 11895.52 12-13 A-B 478.335 3.50 18.75 1674.17 8968.78
6-7 E-F 216.26 31.50 58.25 6812.19 12597.15 12-13 B-C 401.25 10.50 18.75 4213.13 7523.44
6-7 F-G 301.675 39.00 58.25 11765.33 17572.57 12-13 C-D 374.655 17.50 18.75 6556.46 7024.78
6-7 G-H 274.48 47.00 58.25 12900.56 15988.46 12-13 D-E 417 24.50 18.75 10216.50 7818.75
6-7 H-I 303.145 55.00 58.25 16672.98 17658.20 12-13 E-F 476.865 31.50 18.75 15021.25 8941.22
6-7 I-J 260.885 62.50 58.25 16305.31 15196.55
6-7 J-K 305.525 69.50 58.25 21233.99 17796.83 13-14 A-B 478.335 3.50 11.25 1674.17 5381.27
13-14 B-C 401.25 10.50 11.25 4213.13 4514.06
7-8 A-B 228.16 3.50 52.25 798.56 11921.36 13-14 C-D 374.655 17.50 11.25 6556.46 4214.87
7-8 B-C 170.455 10.50 52.25 1789.78 8906.27 13-14 D-E 417 24.50 11.25 10216.50 4691.25
7-8 C-D 139.585 17.50 52.25 2442.74 7293.32 13-14 E-F 478.335 31.50 11.25 15067.55 5381.27
7-8 D-E 178.87 24.50 52.25 4382.32 9345.96
7-8 E-F 191.575 31.50 52.25 6034.61 10009.79 14-15 A-B 525.9 3.50 3.75 1840.65 1972.13
7-8 F-G 192.785 39.00 52.25 7518.62 10073.02 14-15 B-C 446.61 10.50 3.75 4689.41 1674.79
7-8 G-H 168.53 47.00 52.25 7920.91 8805.69 14-15 C-D 450.885 17.50 3.75 7890.49 1690.82
7-8 H-I 192.785 55.00 52.25 10603.18 10073.02 14-15 D-E 462.36 24.50 3.75 11327.82 1733.85
7-8 I-J 164.695 62.50 52.25 10293.44 8605.31 14-15 E-F 525.9 31.50 3.75 16565.85 1972.13
7-8 J-K 201.28 69.50 52.25 13988.96 10516.88

8-9 A-B 287.76 3.50 45.75 1007.16 13165.02 ΣLx = 732880.39

8-9 B-C 210.675 10.50 45.75 2212.09 9638.38 ΣLy = 1242704.50
8-9 C-D 179.805 17.50 45.75 3146.59 8226.08 Total Load = 27885.26
8-9 D-E 191.28 24.50 45.75 4686.36 8751.06
8-9 E-F 175.53 31.50 45.75 5529.20 8030.50
8-9 F-G 216.57 39.00 45.75 8446.23 9908.08 Computation of x̅
8-9 G-H 216.57 47.00 45.75 10178.79 9908.08
8-9 H-I 216.57 55.00 45.75 11911.35 9908.08
27885.26 x̅ = 732880.39
8-9 I-J 179.52 62.50 45.75 11220.00 8213.04 x̅ = 26.28
8-9 J-K 203.28 69.50 45.75 14127.96 9300.06

Computation of ȳ

27885.26 ȳ = 1242704.50

ȳ = 44.56

Therefore Cm = ( 26.28 , 44.56 )

 Check Center of Rigidity

Where:
= I = bh3/12
. ( ) F = 4 (Column)
+
E = Constant
I = (0.50x 0.503/12

Ix = Iy = 5.208 x 10-3

For 2nd Floor Level and Ground Floor Columns (500mm x 500mm)

Column h (m) A (m2) F Ix (m4) Iy (m4) Rx (x10-3) Ry (x10-3)

A1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
A15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
B15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
C15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
D15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
E15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F1 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F2 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F3 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F4 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F5 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F13 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F14 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
F15 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
G12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
H12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
I12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
J12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
 K7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
K12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
L12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M6 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M7 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M8 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M9 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M10 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M11 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938
M12 4 0.2500 4 5.208 x 10-3 5.208 x 10-3 0.938 0.938

TOTAL 130.36 130.36

Xr Yr
DISTANCE Rx1….. PRODUCT DISTANCE Yx1….. PRODUCT
B 7 14.068 98.477 1 88 5.627 495.198
C 14 14.068 196.954 2 83 5.627 467.062
D 21 14.068 295.431 3 78 5.627 438.926
E 28 14.068 393.908 4 71.5 5.627 402.348
F 35 14.068 492.384 5 66.5 5.627 374.212
G 43 6.565 282.300 6 61.5 12.192 749.831
H 51 6.565 334.821 7 55 12.192 670.581
I 59 6.565 387.342 8 49.5 12.192 603.523
J 66 6.565 433.298 9 42 12.192 512.080
K 73 6.565 479.254 10 34.5 12.192 420.637
L 80 6.565 525.210 11 29 12.192 353.579
M 87 6.565 571.166 12 22.5 12.192 274.328
13 15 5.627 84.409
TOTAL 4490.546 14 7.5 5.627 42.204

Xr 34.45 TOTAL 5888.918

Yr 45.17
 Check Center of Rigidity

Where:
= I = bh3/12
. ( ) F = 4 (Column)
+
E = Constant
I = (0.40x 0.403/12

Ix = Iy = 2.133 x 10-3

For 3rd Floor Level and 2nd Floor Level Columns (400mm x 400mm)

Column h (m) A (m2) F Ix (m4) Iy (m4) Rx (x10-3) Ry (x10-3)

A1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
A15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
B15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
C15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
D15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
E15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F1 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F2 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F3 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F4 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F5 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F13 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F14 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
F15 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
G12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
H12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
I12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
J12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
 K7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
K12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
L12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M6 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M7 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M8 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M9 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M10 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M11 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390
M12 4 0.1600 4 2.133 x 10-3 2.133 x 10-3 0.390 0.390

TOTAL 54.17 54.17

Xr Yr
DISTANCE Rx1….. PRODUCT DISTANCE Yx1….. PRODUCT
B 7 5.846 40.920 1 88 2.338 205.768
C 14 5.846 81.839 2 83 2.338 194.076
D 21 5.846 122.759 3 78 2.338 182.385
E 28 5.846 163.679 4 71.5 2.338 167.186
F 35 5.846 204.599 5 66.5 2.338 155.495
G 43 2.728 117.303 6 61.5 5.066 311.574
H 51 2.728 139.127 7 55 5.066 278.644
I 59 2.728 160.951 8 49.5 5.066 250.779
J 66 2.728 180.047 9 42 5.066 212.783
K 73 2.728 199.143 10 34.5 5.066 174.786
L 80 2.728 218.239 11 29 5.066 146.921
M 87 2.728 237.334 12 22.5 5.066 113.991
13 15 2.338 35.074
TOTAL 1865.939 14 7.5 2.338 17.537

Xr 34.45 TOTAL 2446.999

Yr 45.17
 Check Center of Rigidity

Where:
= I = bh3/12
. ( ) F = 4 (Column)
+
E = Constant
I = (0.35x 0.353/12

Ix = Iy = 1.250 x 10-3

For Roof Level and 3rd Floor Level Columns (350mm x 350mm)
Column h (m) A (m2) F Ix (m4) Iy (m4) Rx (x10-3) Ry (x10-3)
A1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
A15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
B15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
C15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
D15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
E15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F1 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F2 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F3 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F4 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F5 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F13 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F14 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
F15 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
G12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
H12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
I12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
J12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K6 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K7 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
 K8 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K9 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K10 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K11 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537
K12 3 0.1225 4 1.250 x 10-3 1.250 x 10-3 0.537 0.537

TOTAL 67.06 67.06

Xr Yr
DISTANCE Rx1….. PRODUCT DISTANCE Yx1….. PRODUCT
B 7 8.048 56.333 1 88 3.219 283.276
C 14 8.048 112.667 2 83 3.219 267.181
D 21 8.048 169.000 3 78 3.219 251.086
E 28 8.048 225.334 4 71.5 3.219 230.162
F 35 8.048 281.667 5 66.5 3.219 214.067
G 43 3.756 161.489 6 61.5 5.902 362.948
H 51 3.756 191.534 7 55 5.902 324.588
I 59 3.756 221.578 8 49.5 5.902 292.129
J 66 3.756 247.867 9 42 5.902 247.867
K 73 3.756 274.156 10 34.5 5.902 203.605
11 29 5.902 171.146
12 22.5 5.902 132.786
13 15 3.219 48.286
TOTAL 1941.624 14 7.5 3.219 24.143

Xr 28.95 TOTAL 3053.270

Yr 45.53
 FOR COLUMN

Eccentricity between 2nd Level and Ground Floor Level Columns

Column Rx = Ry Xi Yi Yi2Rx Xi2Ry
A1 0.938 38.44 48.72 2226.176 1385.836
A2 0.938 38.44 43.72 1792.691 1385.836
A3 0.938 38.44 38.72 1406.098 1385.836
A4 0.938 38.44 32.22 973.635 1385.836
A5 0.938 38.44 27.22 694.898 1385.836
A6 0.938 38.44 22.22 463.056 1385.836
A7 0.938 38.44 15.72 231.766 1385.836
A8 0.938 38.44 10.22 97.960 1385.836
A9 0.938 38.44 2.72 6.939 1385.836
A10 0.938 38.44 -4.78 21.429 1385.836
A11 0.938 38.44 -10.28 99.113 1385.836
A12 0.938 38.44 -16.78 264.076 1385.836
A13 0.938 38.44 -24.28 552.895 1385.836
A14 0.938 38.44 -31.78 947.224 1385.836
A15 0.938 38.44 -39.28 1447.065 1385.836
B1 0.938 31.44 48.72 2226.176 927.065
B2 0.938 31.44 43.72 1792.691 927.065
B3 0.938 31.44 38.72 1406.098 927.065
B4 0.938 31.44 32.22 973.635 927.065
B5 0.938 31.44 27.22 694.898 927.065
B6 0.938 31.44 22.22 463.056 927.065
B7 0.938 31.44 15.72 231.766 927.065
B8 0.938 31.44 10.22 97.960 927.065
B9 0.938 31.44 2.72 6.939 927.065
B10 0.938 31.44 -4.78 21.429 927.065
B11 0.938 31.44 -10.28 99.113 927.065
B12 0.938 31.44 -16.78 264.076 927.065
B13 0.938 31.44 -24.28 552.895 927.065
B14 0.938 31.44 -31.78 947.224 927.065
B15 0.938 31.44 -39.28 1447.065 927.065
C1 0.938 24.44 48.72 2226.176 560.206
C2 0.938 24.44 43.72 1792.691 560.206
C3 0.938 24.44 38.72 1406.098 560.206
C4 0.938 24.44 32.22 973.635 560.206
C5 0.938 24.44 27.22 694.898 560.206
C6 0.938 24.44 22.22 463.056 560.206
C7 0.938 24.44 15.72 231.766 560.206
C8 0.938 24.44 10.22 97.960 560.206
C9 0.938 24.44 2.72 6.939 560.206
C10 0.938 24.44 -4.78 21.429 560.206
C11 0.938 24.44 -10.28 99.113 560.206
C12 0.938 24.44 -16.78 264.076 560.206
C13 0.938 24.44 -24.28 552.895 560.206
C14 0.938 24.44 -31.78 947.224 560.206
C15 0.938 24.44 -39.28 1447.065 560.206
D1 0.938 17.44 48.72 2226.176 285.258
D2 0.938 17.44 43.72 1792.691 285.258
D3 0.938 17.44 38.72 1406.098 285.258
D4 0.938 17.44 32.22 973.635 285.258
D5 0.938 17.44 27.22 694.898 285.258
D6 0.938 17.44 22.22 463.056 285.258
D7 0.938 17.44 15.72 231.766 285.258
D8 0.938 17.44 10.22 97.960 285.258
D9 0.938 17.44 2.72 6.939 285.258
D10 0.938 17.44 -4.78 21.429 285.258
D11 0.938 17.44 -10.28 99.113 285.258
D12 0.938 17.44 -16.78 264.076 285.258
D13 0.938 17.44 -24.28 552.895 285.258
D14 0.938 17.44 -31.78 947.224 285.258
D15 0.938 17.44 -39.28 1447.065 285.258
E1 0.938 10.44 48.72 2226.176 102.222
E2 0.938 10.44 43.72 1792.691 102.222
E3 0.938 10.44 38.72 1406.098 102.222
E4 0.938 10.44 32.22 973.635 102.222
E5 0.938 10.44 27.22 694.898 102.222
E6 0.938 10.44 22.22 463.056 102.222
E7 0.938 10.44 15.72 231.766 102.222
E8 0.938 10.44 10.22 97.960 102.222
E9 0.938 10.44 2.72 6.939 102.222
E10 0.938 10.44 -4.78 21.429 102.222
E11 0.938 10.44 -10.28 99.113 102.222
E12 0.938 10.44 -16.78 264.076 102.222
E13 0.938 10.44 -24.28 552.895 102.222
E14 0.938 10.44 -31.78 947.224 102.222
E15 0.938 10.44 -39.28 1447.065 102.222
F1 0.938 3.44 48.72 2226.176 11.098
F2 0.938 3.44 43.72 1792.691 11.098
F3 0.938 3.44 38.72 1406.098 11.098
F4 0.938 3.44 32.22 973.635 11.098
F5 0.938 3.44 27.22 694.898 11.098
F6 0.938 3.44 22.22 463.056 11.098
F7 0.938 3.44 15.72 231.766 11.098
F8 0.938 3.44 10.22 97.960 11.098
F9 0.938 3.44 2.72 6.939 11.098
F10 0.938 3.44 -4.78 21.429 11.098
F11 0.938 3.44 -10.28 99.113 11.098
F12 0.938 3.44 -16.78 264.076 11.098
F13 0.938 3.44 -24.28 552.895 11.098
F14 0.938 3.44 -31.78 947.224 11.098
F15 0.938 3.44 -39.28 1447.065 11.098
G6 0.938 -4.56 22.22 463.056 19.502
G7 0.938 -4.56 15.72 231.766 19.502
G8 0.938 -4.56 10.22 97.960 19.502
G9 0.938 -4.56 2.72 6.939 19.502
G10 0.938 -4.56 -4.78 21.429 19.502
G11 0.938 -4.56 -10.28 99.113 19.502
G12 0.938 -4.56 -16.78 264.076 19.502
H6 0.938 -12.56 22.22 463.056 147.953
H7 0.938 -12.56 15.72 231.766 147.953
H8 0.938 -12.56 10.22 97.960 147.953
H9 0.938 -12.56 2.72 6.939 147.953
H10 0.938 -12.56 -4.78 21.429 147.953
H11 0.938 -12.56 -10.28 99.113 147.953
H12 0.938 -12.56 -16.78 264.076 147.953
I6 0.938 -20.56 22.22 463.056 396.453
I7 0.938 -20.56 15.72 231.766 396.453
I8 0.938 -20.56 10.22 97.960 396.453
I9 0.938 -20.56 2.72 6.939 396.453
I10 0.938 -20.56 -4.78 21.429 396.453
I11 0.938 -20.56 -10.28 99.113 396.453
I12 0.938 -20.56 -16.78 264.076 396.453
J6 0.938 -27.56 22.22 463.056 712.366
J7 0.938 -27.56 15.72 231.766 712.366
J8 0.938 -27.56 10.22 97.960 712.366
J9 0.938 -27.56 2.72 6.939 712.366
J10 0.938 -27.56 -4.78 21.429 712.366
J11 0.938 -27.56 -10.28 99.113 712.366
J12 0.938 -27.56 -16.78 264.076 712.366
 K6 0.938 -34.56 22.22 463.056 1120.192
K7 0.938 -34.56 15.72 231.766 1120.192
K8 0.938 -34.56 10.22 97.960 1120.192
K9 0.938 -34.56 2.72 6.939 1120.192
K10 0.938 -34.56 -4.78 21.429 1120.192
K11 0.938 -34.56 -10.28 99.113 1120.192
K12 0.938 -34.56 -16.78 264.076 1120.192
L6 0.938 -41.56 22.22 463.056 1619.929
L7 0.938 -41.56 15.72 231.766 1619.929
L8 0.938 -41.56 10.22 97.960 1619.929
L9 0.938 -41.56 2.72 6.939 1619.929
L10 0.938 -41.56 -4.78 21.429 1619.929
L11 0.938 -41.56 -10.28 99.113 1619.929
L12 0.938 -41.56 -16.78 264.076 1619.929
M6 0.938 -48.56 22.22 463.056 2211.579
M7 0.938 -48.56 15.72 231.766 2211.579
M8 0.938 -48.56 10.22 97.960 2211.579
M9 0.938 -48.56 2.72 6.939 2211.579
M10 0.938 -48.56 -4.78 21.429 2211.579
M11 0.938 -48.56 -10.28 99.113 2211.579
M12 0.938 -48.56 -16.78 264.076 2211.579
TOTAL 130.36 75640.491 92671.097

Jp = ∑Yi2Rx + ∑Xi2Ry
Jp = 75640.491 + 92671.097
Jp = 168311.588
 FOR COLUMN

Eccentricity between 3rd Level and 2nd Floor Level Columns

Column Rx = Ry Xi Yi Yi2Rx Xi2Ry
A1 0.390 38.22 49.05 937.608 569.278
A2 0.390 38.22 44.05 756.197 569.278
A3 0.390 38.22 39.05 594.272 569.278
A4 0.390 38.22 32.55 412.900 569.278
A5 0.390 38.22 27.55 295.792 569.278
A6 0.390 38.22 22.55 198.169 569.278
A7 0.390 38.22 16.05 100.391 569.278
A8 0.390 38.22 10.55 43.376 569.278
A9 0.390 38.22 3.05 3.625 569.278
A10 0.390 38.22 -4.45 7.717 569.278
A11 0.390 38.22 -9.95 38.582 569.278
A12 0.390 38.22 -16.45 105.457 569.278
A13 0.390 38.22 -23.95 223.540 569.278
A14 0.390 38.22 -31.45 385.465 569.278
A15 0.390 38.22 -38.95 591.232 569.278
B1 0.390 31.22 49.05 937.608 379.847
B2 0.390 31.22 44.05 756.197 379.847
B3 0.390 31.22 39.05 594.272 379.847
B4 0.390 31.22 32.55 412.900 379.847
B5 0.390 31.22 27.55 295.792 379.847
B6 0.390 31.22 22.55 198.169 379.847
B7 0.390 31.22 16.05 100.391 379.847
B8 0.390 31.22 10.55 43.376 379.847
B9 0.390 31.22 3.05 3.625 379.847
B10 0.390 31.22 -4.45 7.717 379.847
B11 0.390 31.22 -9.95 38.582 379.847
B12 0.390 31.22 -16.45 105.457 379.847
B13 0.390 31.22 -23.95 223.540 379.847
B14 0.390 31.22 -31.45 385.465 379.847
B15 0.390 31.22 -38.95 591.232 379.847
C1 0.390 24.22 49.05 937.608 228.608
C2 0.390 24.22 44.05 756.197 228.608
C3 0.390 24.22 39.05 594.272 228.608
C4 0.390 24.22 32.55 412.900 228.608
C5 0.390 24.22 27.55 295.792 228.608
C6 0.390 24.22 22.55 198.169 228.608
C7 0.390 24.22 16.05 100.391 228.608
C8 0.390 24.22 10.55 43.376 228.608
C9 0.390 24.22 3.05 3.625 228.608
C10 0.390 24.22 -4.45 7.717 228.608
C11 0.390 24.22 -9.95 38.582 228.608
C12 0.390 24.22 -16.45 105.457 228.608
C13 0.390 24.22 -23.95 223.540 228.608
C14 0.390 24.22 -31.45 385.465 228.608
C15 0.390 24.22 -38.95 591.232 228.608
D1 0.390 17.22 49.05 937.608 115.561
D2 0.390 17.22 44.05 756.197 115.561
D3 0.390 17.22 39.05 594.272 115.561
D4 0.390 17.22 32.55 412.900 115.561
D5 0.390 17.22 27.55 295.792 115.561
D6 0.390 17.22 22.55 198.169 115.561
D7 0.390 17.22 16.05 100.391 115.561
D8 0.390 17.22 10.55 43.376 115.561
D9 0.390 17.22 3.05 3.625 115.561
D10 0.390 17.22 -4.45 7.717 115.561
D11 0.390 17.22 -9.95 38.582 115.561
D12 0.390 17.22 -16.45 105.457 115.561
D13 0.390 17.22 -23.95 223.540 115.561
D14 0.390 17.22 -31.45 385.465 115.561
D15 0.390 17.22 -38.95 591.232 115.561
E1 0.390 10.22 49.05 937.608 40.705
E2 0.390 10.22 44.05 756.197 40.705
E3 0.390 10.22 39.05 594.272 40.705
E4 0.390 10.22 32.55 412.900 40.705
E5 0.390 10.22 27.55 295.792 40.705
E6 0.390 10.22 22.55 198.169 40.705
E7 0.390 10.22 16.05 100.391 40.705
E8 0.390 10.22 10.55 43.376 40.705
E9 0.390 10.22 3.05 3.625 40.705
E10 0.390 10.22 -4.45 7.717 40.705
E11 0.390 10.22 -9.95 38.582 40.705
E12 0.390 10.22 -16.45 105.457 40.705
E13 0.390 10.22 -23.95 223.540 40.705
E14 0.390 10.22 -31.45 385.465 40.705
E15 0.390 10.22 -38.95 591.232 40.705
F1 0.390 3.22 49.05 937.608 4.041
F2 0.390 3.22 44.05 756.197 4.041
F3 0.390 3.22 39.05 594.272 4.041
F4 0.390 3.22 32.55 412.900 4.041
F5 0.390 3.22 27.55 295.792 4.041
F6 0.390 3.22 22.55 198.169 4.041
F7 0.390 3.22 16.05 100.391 4.041
F8 0.390 3.22 10.55 43.376 4.041
F9 0.390 3.22 3.05 3.625 4.041
F10 0.390 3.22 -4.45 7.717 4.041
F11 0.390 3.22 -9.95 38.582 4.041
F12 0.390 3.22 -16.45 105.457 4.041
F13 0.390 3.22 -23.95 223.540 4.041
F14 0.390 3.22 -31.45 385.465 4.041
F15 0.390 3.22 -38.95 591.232 4.041
G6 0.390 -4.78 22.55 198.169 8.904
G7 0.390 -4.78 16.05 100.391 8.904
G8 0.390 -4.78 10.55 43.376 8.904
G9 0.390 -4.78 3.05 3.625 8.904
G10 0.390 -4.78 -4.45 7.717 8.904
G11 0.390 -4.78 -9.95 38.582 8.904
G12 0.390 -4.78 -16.45 105.457 8.904
H6 0.390 -12.78 22.55 198.169 63.651
H7 0.390 -12.78 16.05 100.391 63.651
H8 0.390 -12.78 10.55 43.376 63.651
H9 0.390 -12.78 3.05 3.625 63.651
H10 0.390 -12.78 -4.45 7.717 63.651
H11 0.390 -12.78 -9.95 38.582 63.651
H12 0.390 -12.78 -16.45 105.457 63.651
I6 0.390 -20.78 22.55 198.169 168.281
I7 0.390 -20.78 16.05 100.391 168.281
I8 0.390 -20.78 10.55 43.376 168.281
I9 0.390 -20.78 3.05 3.625 168.281
I10 0.390 -20.78 -4.45 7.717 168.281
I11 0.390 -20.78 -9.95 38.582 168.281
I12 0.390 -20.78 -16.45 105.457 168.281
J6 0.390 -27.78 22.55 198.169 300.752
J7 0.390 -27.78 16.05 100.391 300.752
J8 0.390 -27.78 10.55 43.376 300.752
J9 0.390 -27.78 3.05 3.625 300.752
J10 0.390 -27.78 -4.45 7.717 300.752
J11 0.390 -27.78 -9.95 38.582 300.752
J12 0.390 -27.78 -16.45 105.457 300.752
 K6 0.390 -34.78 22.55 198.169 471.414
K7 0.390 -34.78 16.05 100.391 471.414
K8 0.390 -34.78 10.55 43.376 471.414
K9 0.390 -34.78 3.05 3.625 471.414
K10 0.390 -34.78 -4.45 7.717 471.414
K11 0.390 -34.78 -9.95 38.582 471.414
K12 0.390 -34.78 -16.45 105.457 471.414
L6 0.390 -41.78 22.55 198.169 680.268
L7 0.390 -41.78 16.05 100.391 680.268
L8 0.390 -41.78 10.55 43.376 680.268
L9 0.390 -41.78 3.05 3.625 680.268
L10 0.390 -41.78 -4.45 7.717 680.268
L11 0.390 -41.78 -9.95 38.582 680.268
L12 0.390 -41.78 -16.45 105.457 680.268
M6 0.390 -48.78 22.55 198.169 927.314
M7 0.390 -48.78 16.05 100.391 927.314
M8 0.390 -48.78 10.55 43.376 927.314
M9 0.390 -48.78 3.05 3.625 927.314
M10 0.390 -48.78 -4.45 7.717 927.314
M11 0.390 -48.78 -9.95 38.582 927.314
M12 0.390 -48.78 -16.45 105.457 927.314
TOTAL 54.17 31647.174 38414.687

Jp = ∑Yi2Rx + ∑Xi2Ry
Jp = 31647.174 + 38414.687
Jp = 70061.861
 FOR COLUMN

Eccentricity between Roof Level and 3rd Floor Level Columns

Column Rx = Ry Xi Yi Yi2Rx Xi2Ry
A1 0.537 29.99 47.84 1227.889 482.536
A2 0.537 29.99 42.84 984.636 482.536
A3 0.537 29.99 37.84 768.208 482.536
A4 0.537 29.99 31.34 526.956 482.536
A5 0.537 29.99 26.34 372.227 482.536
A6 0.537 29.99 21.34 244.324 482.536
A7 0.537 29.99 14.84 118.153 482.536
A8 0.537 29.99 9.34 46.803 482.536
A9 0.537 29.99 1.84 1.816 482.536
A10 0.537 29.99 -5.66 17.187 482.536
A11 0.537 29.99 -11.16 66.820 482.536
A12 0.537 29.99 -17.66 167.324 482.536
A13 0.537 29.99 -25.16 339.624 482.536
A14 0.537 29.990 -32.660 572.281 482.536
A15 0.537 29.99 -40.16 865.295 482.536
B1 0.537 22.99 47.84 1227.889 283.566
B2 0.537 22.99 42.84 984.636 283.566
B3 0.537 22.99 37.84 768.208 283.566
B4 0.537 22.99 31.34 526.956 283.566
B5 0.537 22.99 26.34 372.227 283.566
B6 0.537 22.99 21.34 244.324 283.566
B7 0.537 22.99 14.84 118.153 283.566
B8 0.537 22.99 9.34 46.803 283.566
B9 0.537 22.99 1.84 1.816 283.566
B10 0.537 22.99 -5.66 17.187 283.566
B11 0.537 22.99 -11.16 66.820 283.566
B12 0.537 22.99 -17.66 167.324 283.566
B13 0.537 22.99 -25.16 339.624 283.566
B14 0.537 22.99 -32.66 572.281 283.566
B15 0.537 22.99 -40.16 865.295 283.566
C1 0.537 15.99 47.84 1227.889 137.175
C2 0.537 15.99 42.84 984.636 137.175
C3 0.537 15.99 37.84 768.208 137.175
C4 0.537 15.99 31.34 526.956 137.175
C5 0.537 15.99 26.34 372.227 137.175
C6 0.537 15.99 21.34 244.324 137.175
C7 0.537 15.99 14.84 118.153 137.175
C8 0.537 15.99 9.34 46.803 137.175
C9 0.537 15.99 1.84 1.816 137.175
C10 0.537 15.99 -5.66 17.187 137.175
C11 0.537 15.99 -11.16 66.820 137.175
C12 0.537 15.99 -17.66 167.324 137.175
C13 0.537 15.99 -25.16 339.624 137.175
C14 0.537 15.99 -32.66 572.281 137.175
C15 0.537 15.99 -40.16 865.295 137.175
D1 0.537 8.99 47.84 1227.889 43.361
D2 0.537 8.99 42.84 984.636 43.361
D3 0.537 8.99 37.84 768.208 43.361
D4 0.537 8.99 31.34 526.956 43.361
D5 0.537 8.99 26.34 372.227 43.361
D6 0.537 8.99 21.34 244.324 43.361
D7 0.537 8.99 14.84 118.153 43.361
D8 0.537 8.99 9.34 46.803 43.361
D9 0.537 8.99 1.84 1.816 43.361
D10 0.537 8.99 -5.66 17.187 43.361
D11 0.537 8.99 -11.16 66.820 43.361
D12 0.537 8.99 -17.66 167.324 43.361
D13 0.537 8.99 -25.16 339.624 43.361
D14 0.537 8.99 -32.66 572.281 43.361
D15 0.537 8.99 -40.16 865.295 43.361
E1 0.537 1.99 47.84 1227.889 2.125
E2 0.537 1.99 42.84 984.636 2.125
E3 0.537 1.99 37.84 768.208 2.125
E4 0.537 1.99 31.34 526.956 2.125
E5 0.537 1.99 26.34 372.227 2.125
E6 0.537 1.99 21.34 244.324 2.125
E7 0.537 1.99 14.84 118.153 2.125
E8 0.537 1.99 9.34 46.803 2.125
E9 0.537 1.99 1.84 1.816 2.125
E10 0.537 1.99 -5.66 17.187 2.125
E11 0.537 1.99 -11.16 66.820 2.125
E12 0.537 1.99 -17.66 167.324 2.125
E13 0.537 1.99 -25.16 339.624 2.125
E14 0.537 1.99 -32.66 572.281 2.125
E15 0.537 1.99 -40.16 865.295 2.125
F1 0.537 -5.01 47.84 1227.889 13.466
F2 0.537 -5.01 42.84 984.636 13.466
F3 0.537 -5.01 37.84 768.208 13.466
F4 0.537 -5.01 31.34 526.956 13.466
F5 0.537 -5.01 26.34 372.227 13.466
F6 0.537 -5.01 21.34 244.324 13.466
F7 0.537 -5.01 14.84 118.153 13.466
F8 0.537 -5.01 9.34 46.803 13.466
F9 0.537 -5.01 1.84 1.816 13.466
F10 0.537 -5.01 -5.66 17.187 13.466
F11 0.537 -5.01 -11.16 66.820 13.466
F12 0.537 -5.01 -17.66 167.324 13.466
F13 0.537 -5.01 -25.16 339.624 13.466
F14 0.537 -5.01 -32.66 572.281 13.466
F15 0.537 -5.01 -40.16 865.295 13.466
G6 0.537 -13.01 21.34 244.324 90.809
G7 0.537 -13.01 14.84 118.153 90.809
G8 0.537 -13.01 9.34 46.803 90.809
G9 0.537 -13.01 1.84 1.816 90.809
G10 0.537 -13.01 -5.66 17.187 90.809
G11 0.537 -13.01 -11.16 66.820 90.809
G12 0.537 -13.01 -17.66 167.324 90.809
H6 0.537 -21.01 21.34 244.324 236.826
H7 0.537 -21.01 14.84 118.153 236.826
H8 0.537 -21.01 9.34 46.803 236.826
H9 0.537 -21.01 1.84 1.816 236.826
H10 0.537 -21.01 -5.66 17.187 236.826
H11 0.537 -21.01 -11.16 66.820 236.826
H12 0.537 -21.01 -17.66 167.324 236.826
I6 0.537 -29.01 21.34 244.324 451.515
I7 0.537 -29.01 14.84 118.153 451.515
I8 0.537 -29.01 9.34 46.803 451.515
I9 0.537 -29.01 1.84 1.816 451.515
I10 0.537 -29.01 -5.66 17.187 451.515
I11 0.537 -29.01 -11.16 66.820 451.515
I12 0.537 -29.01 -17.66 167.324 451.515
J6 0.537 -36.01 21.34 244.324 695.701
J7 0.537 -36.01 14.84 118.153 695.701
J8 0.537 -36.01 9.34 46.803 695.701
J9 0.537 -36.01 1.84 1.816 695.701
J10 0.537 -36.01 -5.66 17.187 695.701
J11 0.537 -36.01 -11.16 66.820 695.701
J12 0.537 -36.01 -17.66 167.324 695.701
 K6 0.537 -43.01 21.34 244.324 992.466
K7 0.537 -43.01 14.84 118.153 992.466
K8 0.537 -43.01 9.34 46.803 992.466
K9 0.537 -43.01 1.84 1.816 992.466
K10 0.537 -43.01 -5.66 17.187 992.466
K11 0.537 -43.01 -11.16 66.820 992.466
K12 0.537 -43.01 -17.66 167.324 992.466
TOTAL 67.06 41229.380 31704.644

Jp = ∑Yi2Rx + ∑Xi2Ry
Jp = 41229.380 + 31704.644
Jp = 72934.024
 DISTRIBUTION OF LATERAL FORCES PER FRAME

Roof Level Long Direction

P = PRL = 5648.33 Jp = 72934.024 ey= 4.40

Frame Ry xi P1(Ry/∑Ry) Mey(xiRy/Jp) Fƒ

A 8.048 29.99 677.80 80.24 758.04
B 8.048 22.99 677.80 61.04 738.84
C 8.048 15.99 677.80 41.85 719.65
D 8.048 8.99 677.80 22.65 700.45
E 8.048 1.99 677.80 3.46 681.26
F 8.048 -5.01 677.80 -15.74 662.06
G 3.756 -13.01 316.31 -18.65 297.66
H 3.756 -21.01 316.31 -28.89 287.42
I 3.756 -29.01 316.31 -39.12 277.18
J 3.756 -36.01 316.31 -48.08 268.22
K 3.756 -43.01 316.31 -57.04 259.27
TOTAL 67.06 5648.33 5650.05

3rd Floor Level Long Direction

P = PRL = 7212.63 Jp = 70061.861 ey= 4.40

Frame Ry xi P1(Ry/∑Ry) Mey(xiRy/Jp) Fƒ

A 5.846 38.22 778.34 94.20 872.54

B 5.846 31.22 778.34 75.67 854.01
C 5.846 24.22 778.34 57.13 835.47
D 5.846 17.22 778.34 38.60 816.94
E 5.846 10.22 778.34 20.06 798.40
F 5.846 3.22 778.34 1.53 779.87
G 2.728 -4.78 363.23 -12.91 350.32
H 2.728 -12.78 363.23 -22.79 340.43
I 2.728 -20.78 363.23 -32.68 330.55
J 2.728 -27.78 363.23 -41.33 321.90
K 2.728 -34.78 363.23 -49.98 313.25
L 2.728 -41.78 363.23 -58.63 304.60
M 2.728 -48.78 363.23 -67.28 295.95
TOTAL 54.17 7212.63 7214.23

2nd Floor Level Long Direction

P = PRL = 3852.74 Jp = 168311.588 ey= 4.40

Frame Ry xi P1(Ry/∑Ry) Mey(xiRy/Jp) Fƒ

A 14.068 38.44 415.76 50.47 466.23
B 14.068 31.44 415.76 40.55 456.31
C 14.068 24.44 415.76 30.63 446.39
D 14.068 17.44 415.76 20.71 436.47
E 14.068 10.44 415.76 10.79 426.56
F 14.068 3.44 415.76 0.87 416.64
G 6.565 -4.56 194.02 -7.02 187.01
H 6.565 -12.56 194.02 -12.31 181.72
I 6.565 -20.56 194.02 -17.59 176.43
J 6.565 -27.56 194.02 -22.22 171.80
K 6.565 -34.56 194.02 -26.85 167.17
L 6.565 -41.56 194.02 -31.48 162.54
M 6.565 -48.56 194.02 -36.11 157.91
TOTAL 130.36 3852.74 3853.18
 DISTRIBUTION OF LATERAL FORCES PER FRAME

Roof Level Short Direction

P = PRL = 5648.33 Jp = 72934.024 ex= 4.35

Frame Rx yi P1(Rx/∑Rx) Mex(yiRx/Jp) Fƒ

1 3.219 47.84 271.12 43.88 315.00
2 3.219 42.84 271.12 38.46 309.58
3 3.219 37.84 271.12 33.04 304.16
4 3.219 31.34 271.12 25.99 297.11
5 3.219 26.34 271.12 20.56 291.68
6 5.902 21.34 497.05 34.43 531.48
7 5.902 14.84 497.05 21.50 518.56
8 5.902 9.34 497.05 10.57 507.62
9 5.902 1.84 497.05 -4.34 492.71
10 5.902 -5.66 497.05 -19.25 477.80
11 5.902 -11.16 497.05 -30.19 466.87
12 5.902 -17.66 497.05 -43.11 453.94
13 3.219 -25.16 271.12 -35.28 235.84
14 3.219 -32.660 271.12 -43.42 227.70
15 3.219 -40.16 271.12 -51.55 219.57
TOTAL 67.06 5648.33 5649.61

3rd Floor Level Short Direction

P = PRL = 7212.63 Jp = 70061.861 ex= 4.35

Frame Rx yi P1(Rx/∑Rx) Mex(yiRx/Jp) Fƒ

1 2.338 49.05 311.34 41.36 352.70
2 2.338 44.05 311.34 36.13 347.46
3 2.338 39.05 311.34 30.89 342.23
4 2.338 32.55 311.34 24.08 335.42
5 2.338 27.55 311.34 18.85 330.18
6 5.066 22.55 674.56 41.16 715.72
7 5.066 16.05 674.56 26.41 700.98
8 5.066 10.55 674.56 13.94 688.50
9 5.066 3.05 674.56 -3.08 671.48
10 5.066 -4.45 674.56 -20.10 654.47
11 5.066 -9.95 674.56 -32.57 641.99
12 5.066 -16.45 674.56 -47.32 627.24
13 2.338 -23.95 311.34 -35.08 276.26
14 2.338 -31.45 311.34 -42.93 268.40
15 2.338 -38.95 311.34 -50.79 260.55
TOTAL 54.17 7212.63 7213.58

2nd Floor Level Short Direction

P = PRL = 3852.74 Jp = 168311.588 ex= 4.35

Frame Rx yi P1(Rx/∑Rx) Mex(yiRx/Jp) Fƒ

1 5.627 48.72 166.31 22.30 188.60
2 5.627 43.72 166.31 19.50 185.80
3 5.627 38.72 166.31 16.70 183.00
4 5.627 32.22 166.31 13.05 179.36
5 5.627 27.22 166.31 10.25 176.56
6 12.192 22.22 360.33 21.98 382.30
7 12.192 15.72 360.33 14.08 374.41
8 12.192 10.22 360.33 7.41 367.74
9 12.192 2.72 360.33 -1.70 358.63
10 12.192 -4.78 360.33 -10.80 349.53
11 12.192 -10.28 360.33 -17.48 342.85
12 12.192 -16.78 360.33 -25.37 334.96
13 5.627 -24.28 166.31 -18.60 147.70
14 5.627 -31.78 166.31 -22.81 143.50
15 5.627 -39.28 166.31 -27.01 139.30
TOTAL 130.36 3852.74 3854.23
 SUMMARY OF LATERAL FORCES PER FRAME
LONG DIRECTION

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

758.04 kN

872.54 kN

466.23 kN

FRAME A

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

738.84 kN

854.01 kN

456.31 kN

FRAME B

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

719.65 kN

835.47 kN

446.39 kN

FRAME C

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

700.45 kN

816.94 kN

436.47 kN

FRAME D
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

681.26 kN

798.40 kN

426.56 kN

FRAME E

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

662.06 kN

779.87 kN

416.64 kN

FRAME F

6 7 8 9 10 11 12

297.66 kN

350.32 kN

187.01 kN

FRAME G

6 7 8 9 10 11 12

287.42 kN

340.43 kN

181.72 kN

FRAME H
 6 7 8 9 10 11 12

277.18 kN

330.55 kN

176.43 kN

FRAME I

6 7 8 9 10 11 12

268.22 kN

321.90 kN

171.80 kN

FRAME J

6 7 8 9 10 11 12

259.27 kN

313.25 kN

167.17 kN

FRAME K

6 7 8 9 10 11 12

304.60 kN

162.54 kN

FRAME L
 6 7 8 9 10 11 12

295.95 kN

157.91 kN

FRAME M