Properties: Flexural Stress: Deflection: Input Data: P = 0 kn/m width. L/2 w(total) = 17 kn/m²

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Joel Simon
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1 For 19-W Light Duty Welded Subjected to Uniform Live Loading and/or Concentrated (Line-Type) Live Loading Light Duty Grating Size = 1-1/4 3/16 Grating Clear Span L = 4.08 ft = mm Uniform Live Load wll = psf = kn/m² Concentrated Load P = 0 lbs/ft = 0.00 kn/m Allow. Deflection Ratio = L/200 P = 0 kn/m width L/2 w(total) = 17 kn/m² Clear Span L = mm = 4" = 1-3/16" Light Duty Welded Nomenclature for Grating and Loads Grating Weight wg = 8.64 psf Unif. Load w(total) = wg + wll = psf = kn/m² Total Moment Mt = w(total)*l²/8 + P*L/4 = ft-lbs/ft Actual Stress fb(max) = (Mt*12)/1000/Sx = ksi Allow. Stress, Fb(allow) = (for Carbon Steel Type ) = ksi fb(max)/fb(allow) = O.K Actual Δ(max) = 5*(wLL*12)*(L*12)⁴/(384*E*Ix) + P*(L*12)³/(48*E*Ix) = in Allowable Δ(allow) = L/200 = in Δ(max)/Δ(allow) = O.K

2 For 19-W Light Duty Welded Subjected to Light Concentrated Wheel or Post Loading Light Duty Grating Size = 1-1/4 3/16 Grating Clear Span L = 4.00 ft = mm Wheel or Post Load P = 400 lbs = 1.78 kn Load Contact Dim. a = 4 in = mm Load Contact Dim. c = 4 in = mm Allow. Deflection Ratio = L/240 P = 1.78 kn (L-a)/2 a = mm Clear Span L = mm Load Criteria - Vehicular Loads = 4" = 1-3/16" Light Duty Welded Caution: Wheeled vehicles with urethane tires should NEVER be used on on open bar grating. Nomenclature for Grating and Concentrated Wheel or Post Load (Reference: NAAMM Engineering Design Manual MBG ) Grating Weight wg = 8.64 psf Grtg. Effective Width b = c + (2*s) = in (Effective Width is dimension perpendicular to bearing bars.) Grating Sx(eff) = Sx*(b/12") = in 3 Total Moment Mt = wg*l²/8 + P*(0.25*L-0.125*(a/12)) = ft-lbs Actual Stress fb(max) = (Mt*12)/1000/Sx(eff) = ksi Allow. Stress, Fb(allow) = (for Carbon Steel Type) = ksi fb(max)/fb(allow) = > N.G Grating Ix(eff) = Ix*(b/12") = in 4 Actual Δ(max) = P*(2*(L*12)³ - a²*(l*12)+a³/4)/(96*e*ix(eff)) = in Allowable Δ(allow) = L/240 = in Δ(max)/Δ(allow) = O.K

For 19-W Heavy Duty Welded Subjected to Uniform Live Loading and/or Concentrated (Line-Type) Live Loading Hvy. Duty Grating Size = 2x3/8 Grating Clear Span L = 5.00 ft = 1524.

3 For 19-W Heavy Duty Welded Subjected to Uniform Live Loading and/or Concentrated (Line-Type) Live Loading Hvy. Duty Grating Size = 2x3/8 Grating Clear Span L = 5.00 ft = mm Uniform Live Load wll = psf = 4.79 kn/m² Concentrated Load P = 2500 lbs/ft = kn/m Allow. Deflection Ratio = L/180 P = kn/m width L/2 w(total) = 6.08 kn/m² Clear Span L = 1524 mm Heavy Duty Welded Bearing Bar = 1-3/16" o.c. Nomenclature for Grating and Loads Grating Weight wg = psf Grating Sx = (Bar Thk.)*(Bar Ht.)²/6*(12"/s) = in 3 /ft Grating Ix = (Bar Thk.)*(Bar Ht.)³/12*(12"/s) = in 4 /ft Unif. Load w(total) = wg + wll = psf = 6.08 kn/m² Total Moment Mt = w(total)*l²/8 + P*L/4 = ft.-lbs/ft Actual Stress fb(max) = (Mt*12)/1000/Sx = ksi Allow. Stress, Fb(allow) = (for Carbon Steel Type) = ksi fb(max)/fb(allow) = O.K Actual Δ(max) = 5*(wLL*12)*(L*12)⁴/(384*E*Ix) + P*(L*12)³/(48*E*Ix) = in Allowable Δ(allow) = L/180 = in Δ(max)/Δ(allow) = O.K

4 For 19-W Heavy Duty Welded Subjected to Vehicular Concentrated Wheel Loading Hvy. Duty Grating Size = 4x1/4 Grating Clear Span L = 4.25 ft = mm Wheel Load P = 8730 lbs = kn Load Contact Dim. a = 7 in = mm Load Contact Dim. c = 7 in = mm Allow. Deflection Ratio = L/400 P = kn (L-a)/2 a = mm Clear Span L = mm Load Criteria - Vehicular Loads Heavy Duty Welded Caution: Wheeled vehicles with urethane tires should NEVER be used on on open bar grating. Nomenclature and Criteria for Vehicular Wheel Loads (Reference: NAAMM Engineering Design Manual MBG ) Grating Weight wg = psf Grating Sx = (Bar Thk.)*(Bar Ht.)²/6*(12"/s) = in 3 /ft Grating Ix = (Bar Thk.)*(Bar Ht.)³/12*(12"/s) = in 4 /ft Grtg. Effective Width b = c + (2*s) = in (Effective Width is dimension perpendicular to bearing bars.) Grating Sx(eff) = Sx*(b/12") = in 3 Total Moment Mt = wg*l²/8 + P*(0.25*L-0.125*(a/12)) = ft-lbs Actual Stress fb(max) = (Mt*12)/1000/Sx(eff) = ksi Allow. Stress, Fb(allow) = (for Carbon Steel Type) = ksi fb(max)/fb(allow) = > N.G Grating Ix(eff) = Ix*(b/12") = in 4 Actual Δ(max) = P*(2*(L*12)³ - a²*(l*12) + a³/4) / (96*E*Ix(eff)) = in Allowable Δ(allow) = L/400 = in Δ(max)/Δ(allow) = O.K

ALUMINUM BAR GRATING ANALYSIS / DESIGN For 19-W Fabricated Aluminum Bar Grating Subjected to Uniform Live Loading and/or Concentrated (Line-Type) Live Loading Aluminum Grating Size = 1-1/4 3/16

Deflection Ratio = L/100 P = 0 kn/m width L/2 w(total) = 11.8 kn/m² Clear Span L = 1219.2 mm Cross Bar Fabricated Aluminum Grating Bearing Bar Nomenclature for Grating and Loads Grating Weight wg = 3.

5 ALUMINUM BAR GRATING ANALYSIS / DESIGN For 19-W Fabricated Aluminum Bar Grating Subjected to Uniform Live Loading and/or Concentrated (Line-Type) Live Loading Aluminum Grating Size = 1-1/4 3/16 Aluminum Type = 6063-T6/T1 Grating Clear Span L = 4.00 ft = mm Uniform Live Load wll = psf = kn/m² Concentrated Load P = 0 lbs/ft = 0.00 kn/m Allow. Deflection Ratio = L/100 P = 0 kn/m width L/2 w(total) = 11.8 kn/m² Clear Span L = mm Cross Bar Fabricated Aluminum Grating Bearing Bar Nomenclature for Grating and Loads Grating Weight wg = 3.01 psf Mod. of Elasticity E = ksi (for 6063-T6/T1 Aluminum) Unif. Load w(total) = wg + wll = psf = kn/m² Total Moment Mt = w(total)*l²/8 + P*L/4 = ft-lbs/ft Actual Stress fb(max) = (Mt*12)/1000/Sx = ksi Allow. Stress, Fb(allow) = (for 6063-T6/T1 Aluminum Type) = ksi fb(max)/fb(allow) = O.K Actual Δ(max) = 5*(wLL*12)*(L*12)⁴/(384*E*Ix) + P*(L*12)³/(48*E*Ix) = in Allowable Δ(allow) = L/100 = in Δ(max)/Δ(allow) = O.K **Note: Actual deflection > 1/4'', which may be excessive for pedestrian traffic.

ALUMINUM BAR GRATING ANALYSIS / DESIGN For 19-W Fabricated Aluminum Bar Grating Subjected to Light Concentrated Wheel or Post Loading Aluminum Grating Size = 1-1/4 3/16 Aluminum Type = 6063-T6/T1

Deflection Ratio = L/100 P = 1.19 kn (L-a)/2 a = 101.6 mm Clear Span L = 1219.

6 ALUMINUM BAR GRATING ANALYSIS / DESIGN For 19-W Fabricated Aluminum Bar Grating Subjected to Light Concentrated Wheel or Post Loading Aluminum Grating Size = 1-1/4 3/16 Aluminum Type = 6063-T6/T1 Grating Clear Span L = 4.00 ft = mm Wheel or Post Load P = 267 lbs = 1.19 kn Load Contact Dim. a = 4 in = mm Load Contact Dim. c = 4 in = mm Allow. Deflection Ratio = L/100 P = 1.19 kn (L-a)/2 a = mm Clear Span L = mm Load Criteria - Vehicular Loads Cross Bar Fabricated Aluminum Grating Bearing Bar Caution: Wheeled vehicles with urethane tires should NEVER be used on on open bar grating. Nomenclature for Grating and Concentrated Wheel or Post Load Grating Weight wg = 3.01 psf Mod. of Elasticity E = ksi (for 6063-T6/T1 Aluminum) Grtg. Effective Width b = c + (2*s) = in (Effective Width is dimension perpendicular to bearing bars.) Grating Sx(eff) = Sx*(b/12") = in 3 Total Moment Mt = wg*l²/8 + P*(0.25*L-0.125*(a/12)) = ft-lbs Actual Stress fb(max) = (Mt*12)/1000/Sx(eff) = ksi Allow. Stress, Fb(allow) = (for 6063-T6/T1 Aluminum Type) = ksi fb(max)/fb(allow) = O.K Grating Ix(eff) = Ix*(b/12") = in 4 Actual Δ(max) = P*(2*(L*12)³-a²*(L*12)+a³/4) / (96*E*Ix(eff)) = in. Allowable Δ(allow) = L/100 = in Δ(max)/Δ(allow) = O.K

Safe-T-Span High Load Capacity Grating

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