sample grid d1 @ 1.00 m gross area check & moi check.xls

7/28/2019 SAMPLE Grid D1 @ 1.00 m Gross Area check & MOI check.xls

1/9

Project: EOB STEEL BEAM UPGRADE PROJECT

Client: U.S. EMBASSY, BANGKOK, THAILAND

Location of Beam: Grid D1

1 m from front

ORIGINAL SECTION DATAS OF STEEL BEAM

L = 13709 mm

D = 700 mm

bt f = 355 mm

bt fp = 305 mmtt fp = 20 mm

tt f = 30.23 mm

tw = 18.42 mm

bb f = 355 mm

bb fp = 305 mm

tb fp = 20 mm

tb f = 30.23 mm

Atf = 10731.7 mm2

Abf = 10731.7 mm2

Aw = 11780 mm2

Atfp = 6100 mm2

Abfp = 6100 mm2

AGT = 45443.6 mm2

AFTER BLASTING SECTION DATAS OF STEEL BEAM

L = 13709 mm

D = 700 mm

bt f = 355 mm

bt fp = 305 mm

tt fp = 18.64 mm

tt f = 28 mm

tw = 13.28 mm

bb f = 345 mm

bb fp = 300 mm

tb fp = 15.57 mm

tb f = 21.92 mm

Atf = 9940.0 mm2

Abf = 7562.4 mm2

Aw = 8633.1 mm2

Atfp = 5685.2 mm

2

Abfp = 4671 mm2

AGT = 36491.7 mm2

45443.6 mm2

36491.7 mm2

19.7% of Total Gross Area of Original Steel B

> 5% loss of Total Gross Area of original bea

Hence, The Steel Beam Grid D1 @ 1m from front wall needs Strengthening.

The percentage Loss of Gross Area of Steel Beam After blasting

GROSS AREA CHECK OF STEEL BEAMS@

Thickness of the Top flange plate of beam

Width of the bottom flange plate of beam

Thickness of the bottom flange plate of beam

Area of Bottom Flange Plate

Thickness of the bottom flange of beam

Length of Steel beam

Width of the Top flange of beam

Width of the Top flange plate of beam

Thickness of the Top flange of beam

Thickness of the web of beam

Width of the bottom flange of beam

Depth of Steel beam only

Area of Top Flange

Area of Bottom Flange

Area of Web

Area of Top Flange Plate




Total Gross Area of Original Steel Beam









Area of Top Flange

Total Gross Area of Steel Beam after blasting


Total Gross Area of Steel Beam after blasting


Area of Web



ttfp

tbftbfp

X

bbf

CROSS SECTION OF STEEL BEA

D

tw

ttf

bbfp

btfp

btf

Page 1 Grid D1 Gross Area C


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all

eam

m

M

Page 2 Grid D1 Gross Area C


3/9




ORIGINAL SECTION DATAS OF STEEL BEAM

L = 13709 mm

D = 700 mmbt f = 355 mm

bt fp = 305 mm

tt fp = 20 mm

tt f = 30.23 mm

tw = 18.42 mm

bb f = 355 mm

bb fp = 305 mm

tb fp = 20 mm

tb f = 30.23 mm

bt fp1 = 128.29 mm

bb fp1 = 128.29 mm

Atf = 10731.7 mm2

Abf = 10731.7 mm2

Aw = 11780.3268 mm2

Atfp = 6100 mm2

Abfp = 6100 mm2

AGT = 45443.6 mm2

Itfxx = 8.172625E+05 mm4

Ibfxx =8.172625E+05 mm

4

Iwxx = 4.015240E+08 mm4

Itfpxx =2.033333E+05 mm

4

Ibfpxx =2.033333E+05 mm

4

htf =334.885 mm

hbf =334.885 mm

htfp =360 mm

hbfp =360 mm

Moment of Inertia of Bottom Flange about X-

X

Moment of Inertia of Web about X-X

Moment of Inertia of Top Flange Plate about

X-X

Moment of Inertia of Bottom Flange Plate

about X-X

MOMENT OF INERTIA CALCULATION OF STEEL BEAMS AND PLATES ABOUT CENTRODIAL AXIS X-X

Distance of CG of top flange from Centrodial

Axis XX

Distance of CG of bottom flange from

Centrodial Axis XX

Distance of CG of top flange plate from

Centrodial Axis XX

Distance of CG of bottom flange plate from

Centrodial Axis XX


AREA CALCULATION OF STEEL BEAMS AND PLATES

Area of Top Flange


Area of Web






Width of additional Top Flange plate

Width of additional bottom Flange plate

MOMENT OF INERTIA OF STANDARD STEEL BEAMS@1,2,10 & 11m from front wall


Depth of Steel beam onlyWidth of the Top flange of beam


Moment of Inertia of Top Flange about X-X





ttfp

tbftbfp

X

bbf

CROSS SECTION OF STEEL BEA

D

tw

ttf

bbfp

btf p

btf

Page 3 Grid D1 MOI after


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MOMENT OF INERTIA OF STANDARD STEEL BEAMS@1,2,10 & 11m from front wall

Iwxx = 4.015240E+08 mm4

Itfxx = 1.204350E+09 mm4

Ibfxx = 1.204350E+09 mm4

Itfpxx = 7.907633E+08 mm4

Ibfpxx = 7.907633E+08 mm4

IGTXX = 4.391751E+09 mm4

distance from centroid to top or bottom edge of the steel beam = y 370 mm

Hence, The Section modulus Zxx = Ixx/y 1.186960E+07 mm3

Moment of Inertia of Top Flange about X-XMoment of Inertia of Bottom Flange about X-

X


MOMENT OF INERTIA OF STEEL BEAMS AND PLATES TRANSFER TO CENTRODIAL AXIS X-X


Moment of Inertia of Top Flange Plate

transfer to centrodial X-X



Total Gross Moment of Inertia of Original

Steel Beam about X-X IGTXX= Ixx+Ah2



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1.000 mfrom front

wall

AFTER ADDING PLATE SECTION AT STEEL BEAM

L = 13709 mm

D = 700 mm

bt f = 355 mm

bt fp = 305 mm

tt fp = 18.64 mm

tt f = 28 mm

ttfp1 = 15 mm

tw = 13.28 mm

twp =12 mm

bb f = 345 mm

bb fp = 300 mm

tb fp =15.57 mm

tb f = 21.92 mm

tbfp1 =15 mm

bt fp1 = 240 mm

bb fp1 = 240 mm

D1 = 620 mm

Atf = 9940.0 mm2

Abf = 7562.4 mm2

Aw = 8633.0624 mm2

Atfp = 5685.2 mm2

Abfp = 4671 mm2

Atfp1 = 3600 mm2

Abfp1 = 3600 mm2

Awp = 7440 mm2

AGT = 51131.7 mm2

Itfxx = 6.494133E+05 mm4

Ibfxx =3.028025E+05 mm

4

Iwxx = 3.040306E+08 mm4

Itfpxx =1.646100E+05 mm

4

Moment of Inertia of Bottom Flange about X-X


Moment of Inertia of Top Flange Plate about X-

X

Area of Top additional Flange Plate

Area of bottom additional Flange Plate

Area of additional web Plate




AREA CALCULATION OF STEEL BEAMS AND PLATES

Area of Top Flange


Area of Web





Thickness of the bottom flange additional plate

of beam

Width of additional Top Flange plate

Width of additional bottom Flange plate

depth of additional web plate


Thickness of the Top flange additional plate of


Thickness of the additional web plate of beam



MOMENT OF INERTIA CHECK OF STEEL BEAMS@






btfp

btf

ttfp

tbftbfp

btfp1

D1

D

twp tw

ttf

ttfp1

bbfpbbf

tbfp1

X X

CROSS SECTION OF STEEL BEAM

bbfp1

Page 7 Grid D1 MOI after add


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1.000 mfrom front

wallMOMENT OF INERTIA CHECK OF STEEL BEAMS@

Ibfpxx =9.436389E+04 mm

4

Itfp1xx =6.750000E+04 mm

4

Ibfp1xx=6.750000E+04 mm

4

Iwpxx =2.383280E+08 mm

4

htf =336 mm

hbf =339.04 mm

htfp =359.32 mm

hbfp =357.785 mm

htfp1 = 376.14 mm

hbfp1 = 373.07 mm

Iwxx = 3.040306E+08 mm4

Iwpxx = 2.383280E+08 mm4

Itfxx = 1.122836E+09 mm4

Ibfxx = 8.695865E+08 mm4

Itfpxx = 7.341857E+08 mm4

Ibfpxx = 5.980296E+08 mm4

Itfp1xx = 5.094002E+08 mm4

Ibfp1xx= 5.011199E+08 mm4

IGTXX = 4.877516E+09 mm4

distance from centroid to top or bottom edge of the steel beam = y 382.1 mm

Hence, The Section modulus Zxx = Ixx/y 1.276486E+07 mm3

Moment of Inertia of Top Flange Plate transfer

to centrodial X-X



Moment of Inertia of Top additional Flange

Plate transfer to centrodial X-X


Moment of Inertia of bottom additional Flange

Plate transfer to centrodial X-XTotal Gross Moment of Inertia of Steel Beam

after adding plate about X-X IGTXX= Ixx+Ah2

Distance of CG of bottom flange additional

plate from Centrodial Axis XX

MOMENT OF INERTIA OF STEEL BEAMS AND PLATES TRANSFER TO CENTRODIAL AXIS X-X


Moment of Inertia of additional web Plate

about X-X


Moment of Inertia of Bottom Flange about X-X

Moment of Inertia of additional web Plate

about X-X

Distance of CG of top flange from Centrodial

Axis XX

Distance of CG of bottom flange from

Centrodial Axis XX

Distance of CG of top flange plate from

Centrodial Axis XXDistance of CG of bottom flange plate from

Centrodial Axis XX

Distance of CG of top flange additional plate

from Centrodial Axis XX


about X-X

Moment of Inertia of Top additional Flange

Plate about X-X

Moment of Inertia of bottom additional Flange

Plate about X-X

btfp

btfttfp

tbftbfp

btfp1

D1

D

twp tw

ttf

ttfp1

bbfpbbf

tbfp1

X X

CROSS SECTION OF STEEL BEAM

bbfp1

Page 8 Grid D1 MOI after add


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4.391751E+09 mm4

4.877516E+09 mm4

11.1%

Hence, the size of the additional plate on the Top and bottom flange is 15mm (thickness) x .

240mm (width) x 2000 mm (Length). [For Detail See Profile and Cross section dwg.]

Hence, the size of the additional plate on the web is 12 mm (Thickness) x 620 mm (height).

[For Detail See Profile and Cross section dwg.]

Hence, The Strengthening of Steel Beam Grid D1 @ 1m from front wall is OK.

The Moment of Inertia of Steel beam after

adding Steel Plate about Centrodial XX axis

of Moment of Inertia of Original Steel beam

about Centrodial XX axis

COMPARISON OF MOMENT OF INERTIA OF

STEEL BEAMS AFTER ADDING PLATE @1

m from

front

wall

Total Gross Moment of Inertia of Original Steel Beam about X-X IGTXX =

Ixx+Ah2

Total Gross Moment of Inertia of Steel Beam after adding plate about X-

X IGTXX = Ixx+Ah2

Page 9 Grid D1 MOI 10% c

sample grid d1 @ 1.00 m gross area check & moi check.xls

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