Box Girder Section

10:37:35 04/30/2014

EXELTECH, INC. 615 2nd Ave. Suite 660 Seattle, WA 98024 tel. (206)623-9646

Project:

THE DREAM BRIDGE

Engineer:

Project #

30-Apr

Date: Subject:

BOX-GIRDER SECTION

Checker:

Page:

Date:

PROPERTIES OF SECTION DESCRIBED BY NODES COORDINATES Units:

cm Section Properties About Centroidal Axis Parallel to Original Axis φ = 1.054 deg X-dim = 16 cm A= 9.62 cm^2 Y-dim = 3.5 cm Xcg = 0.284 cm Sx(top) = 12.9 cm^3 Ycg = 2.406 cm Sx(bot) = 5.9 cm^3 Ixo = 14.1 cm^4 Sy(left) = 19.3 cm^3 Iyo = 150.1 cm^4 Sy(right)= 18.3 cm^3 Ixyo = 2.5 cm^4

Nodes Coordinates 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

X 0.000 -2.675 -2.675 -3.925 -7.500 -7.500 8.500 8.500 3.925 2.675 2.675 0.000 0.000 2.120 3.370 2.120 -2.120 -3.370 -2.120 0.000 0.000

Y 0.000 0.000 0.090 3.000 3.270 3.500 3.500 3.270 3.000 0.090 0.000 0.000 0.180 0.180 3.000 3.270 3.270 3.000 0.180 0.180 0.000

φ = Ixp = Iyp = Ixyp = J=

Section Properties About Principal Axis 1.054 deg Sxp(top) = 11.4 14.1 cm^4 Sxp(bot) = 5.8 150.2 cm^4 Syp(left) = 19.3 0.0 cm^4 Syp(right)= 18.2 164.3 cm^4

cm^3 cm^3 cm^3 cm^3

12 10 8 6 4 2 0 -10

-8

-6

-4

-2

0

2

4

6

8

10

-2 -4 -6 -8

Engineer:

Sheet: Section_by_nodes

File: 225458921.xls

10:37:35 04/30/2014

PROPERTIES OF SECTION DESCRIBED BY LAYERS (FROM TOP TO BOTTOM) Units: Layer No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37

Engineer:

in Top Bottom Distance Thickness Width Width from top 49 49 1 0 49 10 3 1 10 6 2 4 6 6 33 6 6 25 3 39 25 25 5 42 25 23 1 47 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

-30.0 -20.0 -10.0

Sheet: Section_by_layers

0.0

10.0

20.0

30.0 0 -10 -20 -30 -40 -50 -60

Elastic Section Properties Height = 48.000 in Area = 547.000 in^2 Ix = 172658.07 in^4 Yt = 24.406 in Yb = 23.594 in St = 7074.45 in^3 Sb = 7317.83 in^3 Iy = 28656.29 in^4

File: 225458921.xls

10:37:35 04/30/2014 CROSS-SECTION PROPERTIES Described by Layers (from top to bottom)

CROSS-SECTION -40 -30 -20 -10

0

10

20

30

Section Title: 41" Deck Bulb Tee with 72" deck

40 0 -5

Units: Section Number 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Engineer:

Thickness of Layer 0.000 5.805 0.000 3.000 2.000 27.000 3.000 6.000

in Width of Section 72.00 72.00 51.00 12.00 8.00 8.00 27.00 27.00

-10

Dist. to Section from Top 0.000 5.805 5.805 8.805 10.805 37.805 40.805 46.805 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

-15 -20 -25 -30 -35 -40 -45 -50

Elastic Section Properties Height = 46.805 in Area = 962.96 in^2 I= 263132 in^4 Yt = 17.127 in Yb = 29.678 in St = 15363 in^3 Sb = 8866 in^3

Sheet: Section_by_layers_old

File: 225458921.xls

10:37:36 04/30/2014

Torsional Constants for Common Sections (Ref. Roark) ft

Units: Thin Wall Box K = 2tt1(a-t)2(b-t1)2/(at+bt1-t2-t12)

Torsional Constant

Average Stress

near midlength of short sides

τs = T/(2t(a-t)(b-t1)) τL = T/(2t1(a-t)(b-t1))

near midlength of long sides

Note: Use K/2 for concrete box-girders a b t t1 K T τs

ft ft ft

15.65 5.5 1.333

ft ft^4 kip-ft

0.75 408 1000

psi

38.30

psi

68.08

τL

t

b

a

t1

Solid square K = (2.25/16)a4 τ = 0.601*8T/a3

a - square side dimension at midpoint of each side a

a K T τ

ft ft^4 kip-ft psi

10 1406 1000 33.4

a

Solid rectangle K = ab3[1/3-0.21b/a(1-b4/12a4)] for a > b τ = 3T/ab2[1+0.6095(b/a)+0.8865(b/a)2-1.8023(b/a)3+0.91(b/a)4] a b b/a K T τ

ft ft ft^4 kip-ft psi

6 3.5 0.583 55 1000 398.2

ft ft^4 kip-ft psi

3 127 1000 163.7

b

a

Solid Circle K = πR4/2 τ = 2T/πR3 R K T τ T-Section K = K1+K2 K1 = ab3[1/3-0.21b/a(1-b4/12a4)] K2 = cd3[1/3-0.105d/c(1-d4/192c4)] a b c d K1 K2 K

ft ft ft ft

8.5 3 3 3.5

ft^4

60

ft^4 ft^4

27 87

a

b

c

d I - Section a K = 2K1+K2

b

K1 = ab3[1/3-0.21b/a(1-b4/12a4)] K2 = (1/3)cd3

d c

a b c d K1 K2 K

Engineer:

ft ft ft ft

8.5 3 3 3.5

ft^4

60

ft^4 ft^4

43 162

b a

Sheet: Torsion_Properties

File: 225458921.xls