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A. Noncomposite Section Properties

A1.Summary of Properties for the Selected Beam Type

w.c.limerock 0.145 kip ft 3^/ * :

I.nc 127545 in 4^* :

A.nc 807 in 2^* :

BeamSpacing 10 ft * :

t.slab 8.0 in * :

yt.nc 19.51 in * :

Overhang 4 ft * 6.5 in * + : ft 4.5417

yb.nc 16.49 in * :

K.1 0.9 :

h.nc 36 in * :

f.c.slab 4.5 ksi * :

b.tf 48 in * :

f.c.beam 8.5 ksi * :

h.tf 3.5 in * :

h.buildup 1 in * :

b.w 7 in * :

E.c.slab 33000 K.1 * w.c.limerock kip ft 3^/ / (1.5^* f.c.slab ksi * sqrt * : ksi 3478.6818

b.bf 38 in * :

h.bf 7 in * :

E 15.5 in * :

S.tnc 6537 in 3^* :

E.c.beam 33000 K.1 * w.c.limerock kip ft 3^/ / (1.5^* f.c.beam ksi * sqrt * : ksi 4780.9909

S.bnc 7735 in 3^* :

A2. Effective Flange Width

Interior beams

b.eff.interior BeamSpacing : ft 10

Exterior beams

b.eff.exterior BeamSpacing 2 / Overhang + Δw + :

A.b 2.77 ft 2^* :

Cross-sectional area of the barrier

Δw A.b 2 t.slab * / : ft 2.0775

b.eff.exterior BeamSpacing 2 / Overhang + Δw + : ft 11.6192

Effective flange width

Transformed Properties

n E.c.slab E.c.beam / : 0.7276

b.tr.interior n b.eff.interior (* : in 87.3128

b.tr.exterior n b.eff.exterior (* : in 101.4502

B. Composite Section Properties

B1. Interior Beams

h h.nc h.buildup + t.slab + : in 45

A.slab b.tr.interior t.slab * : in 2^698.5

A.fillet b.tf h.buildup * : in 2^48

A.interior A.nc A.fillet + A.slab + : in 2^1553.5

Distance from centroid of beam to extream fiber in Tension

y.b A.nc yb.nc * A.fillet h.nc h.buildup 2 / + (* + A.slab h.nc h.buildup + t.slab 2 / + (* + A.interior / : in 28.13

Distance from centroid of beam to extream fiber in Compression

y.t h y.b - : in 16.87

Moment of Inertia

I.slab 112 / b.tr.interior (* t.slab 3^* A.slab h t.slab 2 / - y.b - (2^* + : in 4^1.19 105^*

I.fillet b.tf (h.buildup 3^* 12 / A.fillet h.nc h.buildup 2 / + y.b - (2^* + : in 4^3.37 103^*

I.interior I.nc A.nc y.b yb.nc - (2^* + I.slab + I.fillet + : in 4^3.6 105^*

Section Modulus

S.t I.interior y.t / : in 3^2.13 104^*

S.tb I.interior h.nc y.b - / : in 3^4.5695 104^*

top of beam

S.t I.interior y.b / : in 3^1.28 104^*

B2. Exterior Beams

h h.nc h.buildup + t.slab + : in 45

A.slab b.tr.exterior t.slab * : in 2^811.6

A.fillet b.tf h.buildup * : in 2^48

A.exterior A.nc A.fillet + A.slab + : in 2^1666.6

Distance from centroid of beam to extream fiber in Tension

y.b.E A.nc yb.nc * A.fillet h.nc h.buildup 2 / + (* + A.slab h.nc h.buildup + t.slab 2 / + (* + A.exterior / : in 29

Distance from centroid of beam to extream fiber in Compression

y.t.E h y.b.E - : in 16

Moment of Inertia

I.slab 112 / b.tr.exterior (* t.slab 3^* A.slab h t.slab 2 / - y.b.E - (2^* + : in 4^1.21 105^*

I.fillet b.tf (h.buildup 3^* 12 / A.fillet h.nc h.buildup 2 / + y.b.E - (2^* + : in 4^2.7 103^*

I.Exterior I.nc A.nc y.b.E yb.nc - (2^* + I.slab + I.fillet + : in 4^3.78 105^*

Section Modulus

S.t I.Exterior y.t.E / : in 3^2.36 104^*

S.tb I.Exterior h.nc y.b.E - / : in 3^5.398 104^*

top of beam

S.t I.Exterior y.b.E / : in 3^1.3 104^*

B3.Summary of Properties

AZ INTERIOR EXTERIOR 12 mat :

AV Effective Slab Width         [in] beff Transformed Slab Width       [in] btr Height of Composite Section     [in]  h Effective Slab Area           [in2] Aslab Area of Composite Section    [in2]  A Neutral Axis to Bottom Fiber [in]  yb Neutral Axis to Top Fiber    [in]  yt Inertia of Composite Section [in4]  I Section Modulus of Top of Slab [in3] St Section Modulus of Top of Beam [in3] Stb Section Modulus of bottom of Beam [in3] Sb 111 mat :

s 120.0 139.4 87.3 101.5 45.0 45.0 698.5 811.5 1553.5 1666.6 28.1 29.0 16.9 16.0 359675.0 377743.8 21318.8 23612.2 45694.6 53980.3 12786.8 13024.7 112 mat :

s AV AZ I.Exterior y.t.E y.b.E A.exterior S.tb S.t I.interior I.fillet I.slab y.t y.b A.interior A.fillet A.slab h b.tr.exterior b.tr.interior n Δw A.b b.eff.exterior b.eff.interior S.bnc E.c.beam S.tnc E h.bf b.bf E.c.slab b.w h.buildup h.tf f.c.beam b.tf f.c.slab h.nc K.1 yb.nc Overhang yt.nc t.slab BeamSpacing A.nc I.nc w.c.limerock s AV AZ I.Exterior y.t.E y.b.E A.exterior S.tb S.t I.interior I.fillet I.slab y.t y.b A.interior A.fillet A.slab h b.tr.exterior b.tr.interior n Δw A.b b.eff.exterior b.eff.interior S.bnc E.c.beam S.tnc E h.bf b.bf E.c.slab b.w h.buildup h.tf f.c.beam b.tf f.c.slab h.nc K.1 yb.nc Overhang yt.nc t.slab BeamSpacing A.nc I.nc w.c.limerock I.Exterior y.t.E y.b.E A.exterior S.tb S.t I.interior I.fillet I.slab y.t y.b A.interior A.fillet A.slab h b.tr.exterior b.tr.interior n Δw A.b b.eff.exterior b.eff.interior S.bnc E.c.beam S.tnc E h.bf b.bf E.c.slab b.w h.buildup h.tf f.c.beam b.tf f.c.slab h.nc K.1 yb.nc Overhang yt.nc t.slab BeamSpacing A.nc I.nc w.c.limerock

s
120	139.4
87.3	101.5
45	45
698.5	811.5
1553.5	1666.6
28.1	29
16.9	16
359675	377743.8
21318.8	23612.2
45694.6	53980.3
12786.8	13024.7
#
INTERIOR	EXTERIOR
Effective Slab Width [in] beff
Transformed Slab Width [in] btr
Height of Composite Section [in] h
Effective Slab Area [in2] Aslab
Area of Composite Section [in2] A
Neutral Axis to Bottom Fiber [in] yb
Neutral Axis to Top Fiber [in] yt
Inertia of Composite Section [in4] I
Section Modulus of Top of Slab [in3] St
Section Modulus of Top of Beam [in3] Stb
Section Modulus of bottom of Beam [in3] Sb
#
#

C. Dead Load

γ.conc 150 lbf ft 3^/ * :

L.design 87.75 ft * :

t.mill 0.5 in * :

L.beam 90 ft * :

Support 0 ft * :

ShearChk 3.2 ft * :

Debond1 10.0 ft * :

Debond2 20.0 ft * :

Midspan 0.5 L.design * : ft 43.88

x Support ShearChk Debond1 Debond2 Midspan 51 mat : ft 0 3.2 1020 43.88 51 mat

C1. Interior Beams.

Weight of beam

w.BeamInt A.nc γ.conc * : kip ft / 0.84

Moment-Selfweight of beam at Release

M.RelBeamInt w.BeamInt L.beam * 2 / x * w.BeamInt 2 / x 2^* - vectorize : ft kip * 0 1.17 102^* 3.36 102^* 5.88 102^* 8.51 102^* 51 mat

Moment-Selfweight of beam

M.BeamInt w.BeamInt L.design * 2 / x * w.BeamInt 2 / x 2^* - vectorize : ft kip * 0 1.14 102^* 3.27 102^* 5.7 102^* 8.09 102^* 51 mat

Shear-Selfweight of beam

V.BeamInt w.BeamInt L.design * 2 / w.BeamInt x * - vectorize : kip 36.88 34.19 28.48 20.07 051 mat

Weight of deck slab, includes haunch and milling surface

w.SlabInt t.slab t.mill + (BeamSpacing * h.buildup b.tf * + (γ.conc * : kip ft / 1.11

Moment-Selfweight of deck slab, haunch and milling surface

M.SlabInt w.SlabInt L.design * 2 / x * w.SlabInt 2 / x 2^* - vectorize : kip ft * 0 1.5 102^* 4.32 102^* 7.54 102^* 1.07 103^* 51 mat

Shear-Selfweight of deck slab, haunch and milling surface

V.SlabInt w.SlabInt L.design * 2 / w.SlabInt x * - vectorize : kip 48.81 45.25 37.69 26.56 051 mat

Weight of traffic railing barrier

w.barrier.interior 0.147 kip ft / * :

Moment-traffic railing barrier

M.TrbInt w.barrier.interior L.design * 2 / x * w.barrier.interior 2 / x 2^* - vectorize : kip ft * 0 19.89 57.15 99.59 1.41 102^* 51 mat

Shear-traffic railing barrier

V.TrbInt w.barrier.interior L.design * 2 / w.barrier.interior x * - vectorize : kip 6.45 5.98 4.98 3.51 051 mat

Weight of Wearing surface

ρ.ws 0.148 kip ft 3^/ * :

t.ws 2 in * :

Weight of wearing surface

w.WsInt BeamSpacing ρ.ws * t.ws * : kip ft / 0.25

Moment-weight of wearing surface

M.WsInt w.WsInt L.design * 2 / x * w.WsInt 2 / x 2^* - vectorize : kip ft * 0 33.37 95.89 1.67 102^* 2.37 102^* 51 mat

Shear-traffic railing barrier

V.WsInt w.WsInt L.design * 2 / w.WsInt x * - vectorize : kip 10.82 10.03 8.36 5.89 051 mat

C2. Exterior Beams.

Weight of beam

w.BeamInt A.nc γ.conc * : kip ft / 0.84

Moment-Selfweight of beam at Release

M.RelBeamInt w.BeamInt L.beam * 2 / x * w.BeamInt 2 / x 2^* - vectorize : ft kip * 0 1.17 102^* 3.36 102^* 5.88 102^* 8.51 102^* 51 mat

Moment-Selfweight of beam

M.BeamInt w.BeamInt L.design * 2 / x * w.BeamInt 2 / x 2^* - vectorize : ft kip * 0 1.14 102^* 3.27 102^* 5.7 102^* 8.09 102^* 51 mat

Shear-Selfweight of beam

V.BeamInt w.BeamInt L.design * 2 / w.BeamInt x * - vectorize : kip 36.88 34.19 28.48 20.07 051 mat

Weight of deck slab, includes haunch and milling surface

w.SlabInt t.slab t.mill + (BeamSpacing * h.buildup b.tf * + (γ.conc * : kip ft / 1.11

Moment-Selfweight of deck slab, haunch and milling surface

M.SlabInt w.SlabInt L.design * 2 / x * w.SlabInt 2 / x 2^* - vectorize : kip ft * 0 1.5 102^* 4.32 102^* 7.54 102^* 1.07 103^* 51 mat

Shear-Selfweight of deck slab, haunch and milling surface

V.SlabInt w.SlabInt L.design * 2 / w.SlabInt x * - vectorize : kip 48.81 45.25 37.69 26.56 051 mat

Weight of traffic railing barrier

w.barrier.interior 0.147 kip ft / * :

Moment-traffic railing barrier

M.TrbInt w.barrier.interior L.design * 2 / x * w.barrier.interior 2 / x 2^* - vectorize : kip ft * 0 19.89 57.15 99.59 1.41 102^* 51 mat

Shear-traffic railing barrier

V.TrbInt w.barrier.interior L.design * 2 / w.barrier.interior x * - vectorize : kip 6.45 5.98 4.98 3.51 051 mat