Interior Girder (no.2), sec-SC3Tension Design

Member Force Results from analysis in appendix

AXIAL FORCEN max = N,DL + N,LL max. + N,LL imp + N,C = -301.6 t << Tension <<N min = N,DL = -186.0 t << Tension <<

BENDING FORCE

M,DL,xx = = 301.9 t-mM,DL,yy = = 0.0 t-m

Section Properties

400 <<

ft / Ft 0.8730 4 <<

e yy Sr / Sr , allow 0.21xx

2 3 1452 <<

e xx

1 30 <<

400 <<yy

Section properties @ X-X

w xx h xx A y Ay y-e,xx Io I xx

cm cm cm cm1 40 3 120.00 1.5 180 -72.60 90 632,491 632,581 <<2 1.5 145.2 217.80 75.6 16,466 1.50 382,657 490 383,147 <<3 1.5 145.2 217.80 75.6 16,466 1.50 382,657 490 383,147 <<4 37 3 111.00 146.7 16,284 72.60 83 585,054 585,138 <<

666.6 49,395 765,488 1,218,526 1,984,013

e,xx = = 74.1 cm

A = = 666.6

A hole , 30 bolts , M22 = 88 <<

A net = = 578.4

I,xx = = 1,984,013c,xx top = = 74.1 cmc,xx bot = = 74.1 cm

A(y-e,xx)2

cm2 cm3 cm4 cm4 cm4

cm2

cm2

cm2

cm4

Z,xx top = = 26,775

Z,xx bot = = 26,775

Section properties @ Y-Y

w yy h yy A x Ax x-e,yy Io I yy

cm cm cm cm1 3 40 120 20.00 2,400 0.00 16,000 0 16,0002 145.2 1.5 218 0.75 163 -19.25 41 80,709 80,7493 145.2 1.5 218 39.25 8,549 19.25 41 80,709 80,7494 3 37 111 20.00 2,220 0.00 12,663 0 12,663

666.6 13,332 28,745 161,417 190,162

yo = = 20.0 cm

A = = 666.6

A hole , 30 bolts , M22 = 88

A net = = 578.4

I,yy = = 190,162c,yy right = = 20.0 cmc,yy left = = 20.0 cm

Z,yy right = = 9,508

Z,yy left = = 9,508

Tension Design

E = = 2,040,000 ksc <<Fy = = 3,450 ksc <<

Ft allow = 0.55 Fy = 1,898 ksc

Check Tensile StressN = = 302 t

A = = 578ft = = 521 ksc < allowable ( 1,898 )

OKft / Ft = = 0.27

Check Tensile Stress from Bending

M,xx = = 30,191,000 kg - cmM,yy = = 0.0 kg - cm

Z,xx , top = = 26,775 kg - cmZ,xx , bot = = 26,775 kg - cmZ,yy , right = = 9,508 kg - cmZ,yy , left = = 9,508 kg - cm

fb,xx , top = M,xx / Z,xx , top = 1,128 kscfb,xx , bot = M,xx / Z,xx , bot = 1,128 kscfb,yy , right = M,yy / Z,yy , right = 0 kscfb,yy , left = M,yy / Z,yy , left = 0 ksc

Check Combine Stressft axial = = 521 kscft bend = = 1,128 ksc

ft = = 1,649 ksc < allowable ( 1,898 )ratio 1.151 OK

ft / Ft = = 0.87

Check Fatique

N = > 2E+06 cycles <<

Built-up member category B

cm3

cm3

A(e-e,yy)2

cm2 cm3 cm4 cm4 cm4

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cm2

cm2

cm4

cm3

cm3

cm2

Sr , allow = 16 ksi = 1,125 ksc

Groove welded connection category B'

Sr , allow = 12 ksi = 844 ksc

Mechanically fastened connection category B

Sr , allow = 16 ksi = 1,125 ksc

f max = N max / A = 452 kscf min = N min / A = 279 ksc

Sr , allow = 12 ksi = 844 ksc

Sr = N max - N min = 173 ksc < allowable ( 844 )OK

Sr / Sr , allow = 0.21

Base metal and weld metal in member without attachments , built up of plates or shapes connected by continuous full penetration groove weld with backing bar removed or by continuous fillet weld parallel to direction of stress

Base metal and weld metal in or adjacent to full penetration groove welded splices at transition in width or thickness with weld ground to slope no steeper than 1 to 2.5 with grinding in direction of applied stress and weld soundness is established by nondestructive inspection

Base metal at gross section of high-strength-bolted slip resistant connections , having no out-of-plane bending in connection materials

Exterior Girder (no.1), sec-SC3Tension Design

Member Force Results from analysis in appendix

AXIAL FORCEN max = N,DL + N,LL max. + N,LL imp + N,C = -173.6 tN min = N,DL = -126.0 t

BENDING FORCEDue to Dead Load + side walk

M,DL,xx = = 186.9 t-mM,DL,yy = = 0.0 t-m

Section Properties

400

ft / Ft30 4

e yy Sr / Sr , allowxx

2 3 1238

e xx

1 30

400yy

Section properties @ X-X

w xx h xx A y Ay y-e,xx Io

cm cm cm cm1 40 3 120.00 1.5 180 -61.90 90

cm2 cm3 cm4

2 1.5 123.8 185.70 64.9 12,052 1.50 237,1773 1.5 123.8 185.70 64.9 12,052 1.50 237,1774 37 3 111.00 125.3 13,908 61.90 83

602.4 38,192 474,527

e,xx = = 63.4 cm

A = = 602.4

A hole , 30 bolts , M22 = 88

A net = = 514.2

I,xx = = 1,360,464c,xx top = = 63.4 cmc,xx bot = = 63.4 cm

Z,xx top = = 21,458

Z,xx bot = = 21,458

Section properties @ Y-Y

w yy h yy A x Ax x-e,yy Io

cm cm cm cm1 3 40 120 20.00 2,400 0.00 16,0002 123.8 1.5 186 0.75 139 -19.25 353 123.8 1.5 186 39.25 7,289 19.25 354 3 37 111 20.00 2,220 0.00 12,663

602.4 12,048 28,733

yo = = 20.0 cm

A = = 602.4

A hole , 30 bolts , M22 = 88

A net = = 514.2

I,yy = = 166,360c,yy right = = 20.0 cmc,yy left = = 20.0 cm

Z,yy right = = 8,318

Z,yy left = = 8,318

Tension Design

E = = 2,040,000 kscFy = = 3,450 ksc

Ft allow = 0.55 Fy = 1,898 ksc

Check Tensile StressN = = 174 t

A = = 514ft = = 338 ksc

ft / Ft = = 0.18

Check Tensile Stress from Bending

cm2

cm2

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cm3

cm3

cm2 cm3 cm4

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cm2

M,xx = = 18,687,000 kg - cmM,yy = = 0.0 kg - cm

Z,xx , top = = 21,458 kg - cmZ,xx , bot = = 21,458 kg - cmZ,yy , right = = 8,318 kg - cmZ,yy , left = = 8,318 kg - cm

fb,xx , top = M,xx / Z,xx , top = 871 kscfb,xx , bot = M,xx / Z,xx , bot = 871 kscfb,yy , right = M,yy / Z,yy , right = 0 kscfb,yy , left = M,yy / Z,yy , left = 0 ksc

Check Combine Stressft axial = = 338 kscft bend = = 871 ksc

ft = = 1,208 kscratio

ft / Ft = = 0.64

Check Fatique

N = > 2E+06

Built-up member category B

Sr , allow = 16 ksi = 1,125 ksc

Groove welded connection category B'

Sr , allow = 12 ksi = 844 ksc

Mechanically fastened connection category B

Sr , allow = 16 ksi = 1,125 ksc

f max = N max / A = 288 kscf min = N min / A = 209 ksc

Base metal and weld metal in member without attachments , built up of plates or shapes connected by continuous full penetration groove weld with backing bar removed or by continuous fillet weld parallel to direction of stress

Base metal and weld metal in or adjacent to full penetration groove welded splices at transition in width or thickness with weld ground to slope no steeper than 1 to 2.5 with grinding in direction of applied stress and weld soundness is established by nondestructive inspection

Base metal at gross section of high-strength-bolted slip resistant connections , having no out-of-plane bending in connection materials

Sr , allow = 12 ksi = 844 ksc

Sr = N max - N min = 79 ksc

Sr / Sr , allow = 0.09

<< Tension << << Tension <<

<<

0.64<<

0.09

<<

<<

<<

I xx

459,793 459,883 <<

A(y-e,xx)2

cm4 cm4

418 237,594 <<418 237,594 <<

425,309 425,392 <<

885,938 1,360,464

<<

I yy

0 16,00068,813 68,84868,813 68,848

0 12,663

137,627 166,360

<<<<

< allowable ( 1,898 )OK

A(e-e,yy)2

cm4 cm4

< allowable ( 1,898 )1.570 OK

cycles <<

Base metal and weld metal in member without attachments , built up of plates or shapes by continuous full penetration groove weld with backing bar removed or

full penetration groove welded splices at with weld ground to slope no steeper than 1 to 2.5

weld soundness is established by

Base metal at gross section of high-strength-bolted slip resistant connections , having no

< allowable ( 844 )OK

Interior Girder (no.4), sec-SC3Tension Design

Member Force Results from analysis in appendix

AXIAL FORCEN max = N,DL + N,LL max. + N,LL imp + N,C = -324.7 t << Tension <<N min = N,DL = -246.0 t << Tension <<

BENDING FORCE

M,DL,xx = = 429.5 t-mM,DL,yy = = 0.0 t-m

Section Properties

400 <<

ft / Ft 0.9830 4 <<

e yy Sr / Sr , allow 0.13xx

2 3 1636 <<

e xx

1 30 <<

400 <<yy

Section properties @ X-X

w xx h xx A y Ay y-e,xx Io I xx

cm cm cm cm1 40 3 120.00 1.5 180 -81.80 90 802,949 803,039 <<2 1.5 163.6 245.40 84.8 20,810 1.50 547,343 552 547,896 <<3 1.5 163.6 245.40 84.8 20,810 1.50 547,343 552 547,896 <<4 37 3 111.00 165.1 18,326 81.80 83 742,728 742,811 <<

721.8 60,126 1,094,860 1,546,781 2,641,641

e,xx = = 83.3 cm

A = = 721.8

A hole , 30 bolts , M22 = 88 <<

A net = = 633.6

I,xx = = 2,641,641c,xx top = = 83.3 cmc,xx bot = = 83.3 cm

A(y-e,xx)2

cm2 cm3 cm4 cm4 cm4

cm2

cm2

cm2

cm4

Z,xx top = = 31,712

Z,xx bot = = 31,712

Section properties @ Y-Y

w yy h yy A x Ax x-e,yy Io I yy

cm cm cm cm1 3 40 120 20.00 2,400 0.00 16,000 0 16,0002 163.6 1.5 245 0.75 184 -19.25 46 90,936 90,9823 163.6 1.5 245 39.25 9,632 19.25 46 90,936 90,9824 3 37 111 20.00 2,220 0.00 12,663 0 12,663

721.8 14,436 28,755 181,872 210,627

yo = = 20.0 cm

A = = 721.8

A hole , 30 bolts , M22 = 88

A net = = 633.6

I,yy = = 210,627c,yy right = = 20.0 cmc,yy left = = 20.0 cm

Z,yy right = = 10,531

Z,yy left = = 10,531

Tension Design

E = = 2,040,000 ksc <<Fy = = 3,450 ksc <<

Ft allow = 0.55 Fy = 1,898 ksc

Check Tensile StressN = = 325 t

A = = 634ft = = 512 ksc < allowable ( 1,898 )

OKft / Ft = = 0.27

Check Tensile Stress from Bending

M,xx = = 42,949,000 kg - cmM,yy = = 0.0 kg - cm

Z,xx , top = = 31,712 kg - cmZ,xx , bot = = 31,712 kg - cmZ,yy , right = = 10,531 kg - cmZ,yy , left = = 10,531 kg - cm

fb,xx , top = M,xx / Z,xx , top = 1,354 kscfb,xx , bot = M,xx / Z,xx , bot = 1,354 kscfb,yy , right = M,yy / Z,yy , right = 0 kscfb,yy , left = M,yy / Z,yy , left = 0 ksc

Check Combine Stressft axial = = 512 kscft bend = = 1,354 ksc

ft = = 1,867 ksc < allowable ( 1,898 )ratio 1.016 OK

ft / Ft = = 0.98

Check Fatique

N = > 2E+06 cycles <<

Built-up member category B

cm3

cm3

A(e-e,yy)2

cm2 cm3 cm4 cm4 cm4

cm2

cm2

cm2

cm4

cm3

cm3

cm2

Sr , allow = 16 ksi = 1,125 ksc

Groove welded connection category B'

Sr , allow = 12 ksi = 844 ksc

Mechanically fastened connection category B

Sr , allow = 16 ksi = 1,125 ksc

f max = N max / A = 450 kscf min = N min / A = 341 ksc

Sr , allow = 12 ksi = 844 ksc

Sr = N max - N min = 109 ksc < allowable ( 844 )OK

Sr / Sr , allow = 0.13

Base metal and weld metal in member without attachments , built up of plates or shapes connected by continuous full penetration groove weld with backing bar removed or by continuous fillet weld parallel to direction of stress

Base metal and weld metal in or adjacent to full penetration groove welded splices at transition in width or thickness with weld ground to slope no steeper than 1 to 2.5 with grinding in direction of applied stress and weld soundness is established by nondestructive inspection

Base metal at gross section of high-strength-bolted slip resistant connections , having no out-of-plane bending in connection materials