SAMPLE Grid D1 @ 1.00 m Gross Area check & MOI check.xls
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Transcript of SAMPLE Grid D1 @ 1.00 m Gross Area check & MOI check.xls
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7/28/2019 SAMPLE Grid D1 @ 1.00 m Gross Area check & MOI check.xls
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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
Length of Steel beam
Depth of Steel beam only
Width of the Top flange of beam
Total Gross Area of Original Steel Beam
Width of the Top flange plate of beam
Thickness 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
Width of the bottom flange plate of beam
Thickness of the bottom flange plate of beam
Thickness of the bottom flange of beam
Area of Top Flange
Total Gross Area of Steel Beam after blasting
Total Gross Area of Original Steel Beam
Total Gross Area of Steel Beam after blasting
Area of Bottom Flange
Area of Web
Area of Top Flange Plate
Area of Bottom Flange Plate
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
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Project: EOB STEEL BEAM UPGRADE PROJECT
Client: U.S. EMBASSY, BANGKOK, THAILAND
Location of Beam: Grid D1
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
Total Gross Area of Original Steel Beam
AREA CALCULATION OF STEEL BEAMS AND PLATES
Area of Top Flange
Area of Bottom Flange
Area of Web
Area of Top Flange Plate
Width of the bottom flange of beam
Area of Bottom Flange Plate
Thickness of the bottom flange plate of beam
Thickness of the bottom flange of beam
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
Length of Steel beam
Depth of Steel beam onlyWidth of the Top flange of beam
Width of the Top flange plate of beam
Moment of Inertia of Top Flange about X-X
Thickness 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 plate of beam
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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Project: EOB STEEL BEAM UPGRADE PROJECT
Client: U.S. EMBASSY, BANGKOK, THAILAND
Location of Beam: Grid D1
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 CALCULATION OF STEEL BEAMS AND PLATES ABOUT CENTRODIAL AXIS X-X
MOMENT OF INERTIA OF STEEL BEAMS AND PLATES TRANSFER TO CENTRODIAL AXIS X-X
Moment of Inertia of Web about X-X
Moment of Inertia of Top Flange Plate
transfer to centrodial X-X
Moment of Inertia of Bottom Flange Plate
transfer to centrodial X-X
Total Gross Moment of Inertia of Original
Steel Beam about X-X IGTXX= Ixx+Ah2
Page 4 Grid D1 MOI after
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Page 5 Grid D1 MOI after
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Page 6 Grid D1 MOI after
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Project: EOB STEEL BEAM UPGRADE PROJECT
Client: U.S. EMBASSY, BANGKOK, THAILAND
Location of Beam: Grid D1
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 Web 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
Total Gross Area of Original Steel Beam
MOMENT OF INERTIA CALCULATION OF STEEL BEAMS AND PLATES ABOUT CENTRODIAL AXIS X-X
Moment of Inertia of Top Flange about X-X
AREA CALCULATION OF STEEL BEAMS AND PLATES
Area of Top Flange
Area of Bottom Flange
Area of Web
Area of Top Flange Plate
Area of Bottom Flange Plate
Thickness of the bottom flange plate of beam
Thickness of the bottom flange of beam
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 of beam
Thickness of the Top flange additional plate of
Thickness of the web of beam
Thickness of the additional web plate of beam
Width of the bottom flange of beam
Width of the bottom flange plate of beam
MOMENT OF INERTIA CHECK OF STEEL BEAMS@
Length of Steel beam
Depth of Steel beam only
Width of the Top flange of beam
Width of the Top flange plate of beam
Thickness of the Top flange plate of beam
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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Project: EOB STEEL BEAM UPGRADE PROJECT
Client: U.S. EMBASSY, BANGKOK, THAILAND
Location of Beam: Grid D1
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 Bottom Flange Plate
transfer to centrodial X-X
Moment of Inertia of Top additional Flange
Plate transfer to centrodial X-X
MOMENT OF INERTIA CALCULATION OF STEEL BEAMS AND PLATES ABOUT CENTRODIAL AXIS 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 Web about X-X
Moment of Inertia of additional web Plate
about X-X
Moment of Inertia of Top Flange 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
Moment of Inertia of Bottom Flange Plate
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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Project: EOB STEEL BEAM UPGRADE PROJECT
Client: U.S. EMBASSY, BANGKOK, THAILAND
Location of Beam: Grid D1
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