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Bar Grating Calcs

GratingType Welded W Pressure-locked P Riveted R 32 mat :

Method ASD LRFD 21 mat :

Alloy Yield Strength Mod. of Elast. Density

GratingMatl Steel 18 ksi * 29000 ksi * 490 lbf ft 3^/ * Stainless Steel 20 ksi * 28000 ksi * 498 lbf ft 3^/ * Aluminum 12 ksi * 10000 ksi * 171 lbf ft 3^/ * 34 mat :

d.bb 1 in * :

Depth of bearing bars

t.bb 0.125 in * :

Thickness of bearing bars

Method

Design method =

s.bb 1.1875 in * :

Spacing of bearing bars

s.cb 4 in * :

Spacing of cross bars or rivets

Span 3 ft * :

Span of panel

A.cb 0.31 in 2^* :

Area of cross bars

GratingType

GratingMatl

GratingType W

E GratingMatl 3 el : ksi 29000

F.y GratingMatl 2 el : ksi 18

Matl GratingMatl 1 el : Steel

γ GratingMatl 4 el : lbf in 3^/ 0.284

Loading Input

DL 11 psf * :

LL 100 psf * :

P 300 lbf * :

Design unif. & conc. loading

Method LRFD ≡ f.DL 1.2 : f.LL 1.6 : φ.b 0.9 : 31 line f.DL 1.0 : f.LL 1.0 : φ.b 1 1.67 / : 31 line if

Load Factors & Bending
Resistance Factor for LRFD
& ASD Conversion

TL f.DL DL * f.LL LL * + : psf 111

Calculations

S.bb t.bb d.bb 2^* 6 / : in 3^0.021

I.bb t.bb d.bb 3^* 12 / : in 4^0.01

K.bb 12 in * s.bb / : 10.105

Number of bearing bars / foot of width for welded grating

S.g K.bb S.bb * : in 3^0.211

I.g K.bb I.bb * : in 4^0.105

K.cb 12 in s.cb / * : 3

selfwt t.bb d.bb * 12 * in * K.bb * A.cb 12 * in * K.cb * + (γ ft 2 -^* * : psf 7.463

Δ.TL_all Span 240 / : in 0.15

Δ.LL_all Span 360 / : in 0.1

Max TL & LL panel deflection

Δ.UTL 5 DL LL + (* ft * Span 4^* 384 E * I.g * / : in 0.066

Deflection @ Uniform
(Service) Total Load

Δ.ULL 5 LL ft * (* Span 4^* 384 E * I.g * / : in 0.06

Deflection @ Uniform
(Service) Live Load

Δ.CLL P Span 3^* 48 E * I.g * / : in 0.096

Deflection @ Concentrated
(Service) Live Load

Δ.CTL 5 DL ft * (* Span 4^* 384 E * I.g * / P Span 3^* 48 E * I.g * / + : in 0.102

Deflection @ Concentrated
(Service) Total Load

φM.n φ.b F.y * S.g * : lbf in * 2269.146

Factored nominal moment capacity

W 8 φM.n Span / * : kip 0.504

Max total load

M.uc f.DL DL * ft * (Span 2^* 8 / f.LL P * Span * 4 / + : lbf in * 2848.5

Applied factored conc. moment
(uniform DL + concentrated LL)

M.uu TL ft * (Span 2^* 8 / : lbf in * 1498.5

Applied factored uniform moment

M.c P Span * 4 / : lbf ft * 225

F GratingMatl 2 el : ksi 18

Working Stress

M S.g F * : lbf in * 3789.474

Max Bending Moment

C 4 M Span / * : lbf 421.053

Max Concentrated Load

U 8 M * Span 2^ft * / : psf 280.702

Max Uniform Load

D.c C Span 3^* 48 E * I.g * / : in 0.134

Deflection under max concentrated load

Results

UtilRatio.bu M.uu φM.n / : % 66.04

Unif bending utilization ratio

UtilRatio.bc M.uc φM.n / : % 125.53

Conc bending utilization ratio

UtilRatio.ΔUTL Δ.UTL Δ.TL_all / : % 44.18

Uniform total load deflection
utilization ratio

UtilRatio.ΔCTL Δ.CTL Δ.TL_all / : % 68.061

Concentrated total load deflection
utilization ratio

UtilRatio.ΔULL Δ.ULL Δ.LL_all / : % 59.703

Uniform live load deflection
utilization ratio

UtilRatio.ΔCLL Δ.CLL Δ.LL_all / : % 95.524

Concentrated live load deflection
utilization ratio

Spec GratingType - s.bb 16 in / * num2str - s.cb in / num2str (d.bb in / num2str x t.bb in / num2str) GratingMatl 1 el concat :

Spec W-19-4 (1x1/8) Steel