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"FLRPLATE" --- STEEL CHECKERED FLOOR PLATE DESIGN Program Description: "FLRPLATE" is a spreadsheet program written in MS-Excel for the purpose of designing steel c plate subjected to uniformly distributed loading. This program is a workbook consisting of two (2) worksheets, described as follows: Worksheet Name Description Doc This documentation sheet Steel Floor Plate Design Steel checkered floor plate design for uniformly distributed l Program Assumptions and Limitations: 1. This program utilizes the formulas given in "Design of Welded Structures" by Omer W. Bl Lincoln Arc Welding Foundation) in Table 1 on page 6.5-4. The formulas therein were t for Stress and Strain", by Raymond J. Roark, for rectangular flat plates subjected to These same formulas are found in "Design of Weldments" by Omer W. Blodgett (James F. L Welding Foundation) in Table 1 on page 4.6-4 as well. 2. This program follows the procedures and guidelines of the AISC 9th Edition Allowable St (Fourth Impression 9/00), and the "Floor Plate Bending Capacity" Table found on page 2 of the main calculation worksheet at the right side of the screen. Also, at the right are two (2) additional allowable uniform loading tables, one based on flexural strengt on deflection criteria. Both of these tables consider the user input value of the pla 3. If the user desires to simulate true one-way span action for the plate analysis and des plate long span, 'L', which is input should be at least 8 times the value of the plate

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Page 1: Flr Plate

"FLRPLATE" --- STEEL CHECKERED FLOOR PLATE DESIGN

Program Description:

"FLRPLATE" is a spreadsheet program written in MS-Excel for the purpose of designing steel checkered floor

plate subjected to uniformly distributed loading.

This program is a workbook consisting of two (2) worksheets, described as follows:

Worksheet Name DescriptionDoc This documentation sheet

Steel Floor Plate Design Steel checkered floor plate design for uniformly distributed loading

Program Assumptions and Limitations:

1. This program utilizes the formulas given in "Design of Welded Structures" by Omer W. Blodgett (James F.

Lincoln Arc Welding Foundation) in Table 1 on page 6.5-4. The formulas therein were taken from "Formulas

for Stress and Strain", by Raymond J. Roark, for rectangular flat plates subjected to uniform pressure.

These same formulas are found in "Design of Weldments" by Omer W. Blodgett (James F. Lincoln Arc

Welding Foundation) in Table 1 on page 4.6-4 as well.

2. This program follows the procedures and guidelines of the AISC 9th Edition Allowable Stress (ASD) Manual,

(Fourth Impression 9/00), and the "Floor Plate Bending Capacity" Table found on page 2-145 is replicated off

of the main calculation worksheet at the right side of the screen. Also, at the right side of the screen, there

are two (2) additional allowable uniform loading tables, one based on flexural strength and the other based

on deflection criteria. Both of these tables consider the user input value of the plate yield stress, 'Fy'.

3. If the user desires to simulate true one-way span action for the plate analysis and design, then a value of the

plate long span, 'L', which is input should be at least 8 times the value of the plate short span, 'S'.

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"FLRPLATE.xls" ProgramVersion 1.6

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STEEL FLOOR PLATE DESIGNFor Rectangular Flat Plates Subjected to Uniformly Distributed Live Loading

with Either All Edges Pinned or All Edges Fixed (per AISC 9th Edition ASD Manual)Job Name: Subject:

Job Number: Originator: Checker:Pinned

Input Data: FixedYes

Short Span of Plate, S = 4.0000 ft. S=4 S NoLong Span of Plate, L = 35.0000 ft.

Plate Thickness, t = 3/8 in. t (in.)Uniform Live Load, wLL = 100.00 psf ###

All Edges Condition = Pinned ###Yield Stress, Fy = 36.00 ksi L=35 L ###

No ###Allow. Deflection Ratio = S/100 ###

#########

w(total)=116.35 w(total) ######

use a minimum value of L >= 8*S. ###All Edges Pinned All Edges Fixed

when limiting Fb(allow) = 16 ksi. ###Nomenclature for Rectangular Flat Plates

Results: ######

Flexural Stress: ###Unif. Dead Load, wDL = 16.35 psf wDL = floor plate self-weight in psf (per Reference #1) ###

116.35 psf ###9.90 ksi fb(max) = 0.75*(w(total)/144)*(S*12)^2/(t^2*(1+1.61*(S/L)^3))/1000###

27.00 ksi 0.75*Fy ###fb(max) <= Fb(allow), O.K. ###

Deflection: ###0.1143 ###

Mod. of Elasticity, E = 29000000 psi E = 29,000,000 psi (assumed value for steel) ###0.4373 in. 1.10*0.1422*(w(total)/144)*(S*12)^4/(E*t^3*(1+2.21*(S/L)^3)) ###S/110 ###S/100 S/100 (user defined and selected) ###

Note: if S/L<=1/8, deflect. was increased by 10% to simulate one-way span. ###S/110 <= S/100, O.K. ###

###References: 1. AISC Manual of Steel Construction (ASD) 9th Edition (Fourth Impression, 9/00), page 2-145.

2. "Design of Welded Structures", by Omer W. Blodgett (James F. Lincoln Arc Welding Foundation) ### Table 1, page 6.5-4 - taken from "Formulas for Stress and Strain" by Raymond J. Roark. ### These same formulas are found in "Design of Weldments" by Omer W. Blodgett (James F. ### Lincoln Arc Welding Foundation) in Table 1 on page 4.6-4. ###

###Comments:

S/100S/164S/180S/240

Limit Fb(allow) = 16 ksi?

Notes: 1. To simulate one-way action for floor plate,

2. Use floor plate yield stress, Fy = 21.33 ksi

Unif. Load, w(total) = w(total) = wDL+wLLfb(max) =

Fb(allow) = Fb(allow) = 0.75*Fy

Aspect Ratio, a = a = S/L

D(max) = D(max) =D(ratio) = D(ratio) = (S*12)/D(max)

Allow. D(ratio) = Allow. D(ratio) =

C14
Note: if the user wishes to compare/verify results for one-way condition (L>=8*S) bending stress calculated from formulas below against values in AISC Floor Plate Bending Capacity Table at right, then a value of Fy = 21.33 ksi should be selected. Doing so would result in an allowable bending stress, Fb = 0.75*(21.33) = 16.0 ksi, which is the designated (assumed) extreme fiber allowable bending stress that was used in the AISC Table.
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The following is from the article "Are You Properly Specifying Materials?" by Charlie J. Carter, S.E., P.E. from "Modern Steel Construction" magazine, January 2004: Raised-Pattern Floor Plates ASTM A786 is the standard specification for rolled steel floor plates. As floor plate design is seldom controlled by strength considerations, ASTM A786 "Commercial Grade" commonly is specified. If so, per ASTM A786 Section 5.1.2, "the product will be supplied 0.33 percent maximum carbon and without specific mechanical properties". Alternatively, if a defined strength level is desired, ASTM A786 raised-pattern floor plate can be ordered to a defined plate specification, such as ASTM A36, A572, or A588; see ASTM A786 Sections 8 and Appendix Table X1.1.
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