"GRDSLAB" --- CONCRETE SLAB ON GRADE ANALYSIS Program Description: "GRDSLAB" is a spreadsheet program written in MS-Excel for the purpose of analsis of concrete sla!s on grade Specificall# a concrete sla! on grade ma !e su!$ected su!$ected to concentrated post or wheel loading loading %hen for the gi&en parameters# the sla! flexural# !earing# and shear stresses are chec'ed# the estimated crac' width is determined# the minimum re(uired distri!ution reinforcing is determined# and the !earing stress on the dowels at construction $oints is chec'ed Also# design charts from the )ortland *ement Association +)*A, are included to pro&ide an additional method for determiningchec'ing determiningchec'ing re(uired sla! thic'ness for flexure %he a!ilit to anal.e the capacit of a sla! on grade su!$ected to continuous wall +line-tpe, load as well as stationar# stationar# uniforml distri!uted li&e loads is also pro&ided Loading data for for' truc's and AAS/%0 truc's is included %his program is a wor'!oo' consisting of ten +12, wor'sheets# descri!ed as follows3
or!seet Name
Description
Doc
%his documentation sheet
S la la! on Grade )*A 5ig 6-4 heel Load )*A 5ig 7a-)ost Load
*oncrete S la la! on Grade A na nal s s is is f or or *onc en entrated ) os ost or 4 he heel Loading )*A 5igure 6 - Design *hart for Single 4 heel Loads )*A 5igure 7a - Design *hart for )ost Loads +' 8 92 pci,
)*A 5ig 7!-)ost Load )*A 5ig 7c-)ost Load
)*A 5igure 7! - Design *hart for )ost Loads +' 8 122 pci, )*A 5igure 7c - Design *hart for )ost Loads +' 8 :22 pci,
4all Load ;nif Load 5or' %ruc' Data AAS/%0 %ruc' Data
*oncrete Sla! on Grade Analsis for 4all Load *oncrete Sla! on Grade Analsis for Stationar ;niform Li&e Loads 5or' %ruc' Axle Load# 4 heel Load# and Spacing Data AAS/%0 %ruc' Axle Load# 4heel Load# and Spacing Data
Program Ass#mptions an$ Limitations: 1 %his program is !ased on the following references3 a "Load %esting of # :22:,
g Load at interior and corner of sla! distri!uted uniforml of a circular contact area h 5ull contact +support, !etween the sla! and foundation
6 0ther !asic assumptions used in the flexural analsis of the "Sla! on Grade" wor'sheet are as follows3 a Sla! &iewed as a plate on a li(uid foundation with full su!grade contact +su!grade modeled as a series of independent springs - also 'nown as "4in'ler" foundation, ! Modulus of su!grade reaction +"'", is used to represent the su!grade c Sla! is considered as unreinforced concrete !eam# so that an contri!ution made to flexural strength ! the inclusion of distri!ution reinforcement is neglected d *om!ination of flexural and direct tensile stresses will result in trans&erse and longitudinal crac's e Supporting su!!ase andor su!grade act as elastic material# regaining position after application of load > %he "Sla! on Grade" wor'sheet allows the user to account for the effect of an additional post or wheel load %he increase in stress# CiC# due to a :nd wheel +or post, load expressed as a percentage of stress for a single wheel +or post, load and is to !e input ! the user Refer to the input comment !ox for recommendations 9 All four +>, wor'sheets pertaining to the )*A 5igures 6# 7a# 7!# and 7c from Reference +f, in item F1 a!o&e are !ased on interior load condition and other similar assumptions used in the "Sla! on Grade" wor'sheet 0ther assumed &alues used in the de&elopment of the 5igures 6# 7a# 7!# and 7c are as follows3 a Modulus of elasticit for concrete# Ec 8 >#222#222 psi ! )oissonCs Ratio for concrete# µ 8 219 , wor'sheets pertaining to the )*A 5igures 6# 7a# 7!# and 7c# the user must manuall determine +read, the re(uired sla! thic'ness from the design chart and must manuall input that thic'ness in the appropriate cell at the !ottom of the page An iteration or two ma !e re(uired# as when the sla! thic'ness is input# it mama not change the effecti&e contact area =ote3 the user ma unprotect the wor'sheet +no password is re(uired, and access the Drawing %ool!ar +select3 iew# %ool!ars# and Drawing, to manuall draw in +superimpose, the lines on the chart which are used to determine the re(uired sla! thic'ness 7 %his program contains numerous Hcomment !oxesI which contain a wide &ariet of information including explanations of input or output items# e(uations used# data ta!les# etc +=ote3 presence of a Hcomment !oxI is denoted ! a Hred triangleI in the upper right-hand corner of a cell Merel mo&e the mouse pointer to the desired cell to &iew the contents of that particular "comment !ox",
"GRDSLABxls" )rogram ersion :2
AAAAAAAAAAA
?o! =ame3 ?o! =um!er3
%or S&a' S#'(ecte$ to Interior Concentrate$ Post or ee& Loa$ing Ass#ming S&a' is Rein)orce$ )or Srin!age an$ Temperat#re On&* Su!$ect3 0riginator3 *hec'er3
Inp#t Data: )ost
Sla! %hic'ness# t 8 *oncrete Strength# f C c 8 *onc ;nit 4eight# w c 8 Reinforcing @ield# f 8 Su!grade Modulus# ' 8 *oncentrated Load# ) 8 *ontact Area# A c 8 5actor of Safet# 5S 8 Dowel Bar Dia# d ! 8 Dowel Bar Spacing# s 8 *onst ?oint 4idth# . 8 ?oint Spacing# L 8 %emperature Range# ∆% 8
19 6222 192 >2222 >>:: 169 7992 622 2991 1111 2:922 :2222 222 22
in
199> 66:291 >:9 61>
in
psi
)
pcf
)
%opSla!
psi pci l!s
*ontact Area# Ac
t
inJ: +Su!grade,
Concrete S&a' on Gra$e
in in in
Lu!ricate this end
ft
of all Dowels
deg K
Res#&ts: Cec! S&a' %&e,#ra& Stress: Effecti&e Load Radius# a 8 Modulus of Elasticit# E c 8 Modulus of Rupture# MR 8 *rac'ing Moment# M r 8
4heel
psi psi ft-'ft
Direction of pour Stop sla! reinf +As, at $oint Min of 1"-1>" x t> formed $oint
t6 or :" t:
f!1+actual, 8 f!1+actual, 8 )lain Dowels 8 T*pica& Constr#ction +oint )or Loa$ Trans)er 8 +assuming unreinforced sla! with interior load condition, 8 a 8 SR%+A cπ, Ec 8 66wcJ19SR%+f C c, MR 8 SR%+f C c, +Sla! tensile strength in flexure, fp+actual, 8 Mr 8 MR+1:tJ:,1:222 +per 1C 8 1:" width, 5p+allow, 8
"GRDSLABxls" )rogram ersion :2 +continued,
"GRDSLABxls" )rogram ersion :2 As 8 Determine Estimate$ Crac! i$t: +assuming no use of sta!ili.ed or granular su!!ase, Sla!-!ase 5rict Ad$ust# * 8 122 * 8 12 +assumed &alue for no su!!ase, %hermal Expansion# α 8 22222299 inindeg α 8 99x12J+-, +assumed thermal expansion coefficient, Shrin'age *oefficient# ε 8 2222> ε 8 69x12J+->, +assumed coefficient of shrin'age, inin Est *rac' 4idth# ∆L 8 ∆L 8 *L1:+ α∆%Nε, 2112> in
+Ref 9,
Cec! Bearing Stress on Do.e&s at Constr#ction +oints .it Loa$ Trans)er:
+Ref :,
)t Le
Le s
di
d>
d6
d:
d1
d:
d6
2)c +1-+>-1,sLe,)c
d>
di
2)c +1-+>-1,sLe,)c
+1-+6-1,sLe,)c
+1-+6-1,sLe,)c
+1-+:-1,sLe,)c
+1-+:-1,sLe,)c 12)c
As 8 As 8 As 8
∆ 8 A 8 Ecm 8 L8 As 8
*8 α 8 ε 8 ∆L 8
ss#me$ Loa$ Trans)er Distri'#tion )or Do.e&s at Constr#ction +oin Le 8 Effecti&e Dowels# = e 8 ?oint Load# ) t 8 *ritical Dowel Load# ) c 8 Mod of Dowel Suppt# ' c 8 Mod of Elasticit# E ! 8
69> 72 >>1 166:19 1922222 :222222 222>9 11:2 678937
in !ars l!s l!s psi psi inJ> psi
Le 8 12L r 8 applica!le dist each side of critical dowel =e 8 12N: Σ+1-d+n-1,sLe, +where3 n 8 dowel F, )t 8 292) +assumed load transferred across $oint, )c 8 )t=e 'c 8 19x12J +assumed for concrete, E! 8 :x12J +assumed for steel dowels, I! 8 πd!J>> β 8 +'cd!+>E!I!,,J+1>, fd+actual, 8 'c+)c+:N β.,+> βJ6E!I!,,
Le 8
Dow
=e 8 )t 8
"GRDSLABxls" )rogram ersion :2
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE T@IC4NESS ANALYSIS %or S&a' S#'(ecte$ to Sing&e ee& Loa$ing )rom eic&es .it Pne#matic Tires Per PCA "S&a' Tic!ness Design )or In$#stria& Concrete %&oors on Gra$e" - %ig#re ;2 page 9 ?o! =ame3 Su!$ect3 ?o! =um!er3 0riginator3 *hec'er3
Area# A
"GRDSLABxls" )rogram ersion :2
Con5ert A,&e .it D#a& ee&s to E#i5a&ent A,&e .it Sing&e ee&s i) app&ica'&e/:
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE T@IC4NESS ANALYSIS %or S&a' S#'(ecte$ to Concentrate$ Post Loa$ing )or ! 1 9> pci/ Per PCA "S&a' Tic!ness Design )or In$#stria& Concrete %&oors on Gra$e" - %ig#re 8a2 page = ?o! =ame3 Su!$ect3 ?o! =um!er3 0riginator3 *hec'er3
Area# A
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE T@IC4NESS ANALYSIS %or S&a' S#'(ecte$ to Concentrate$ Post Loa$ing )or ! 1 7>> pci/ Per PCA "S&a' Tic!ness Design )or In$#stria& Concrete %&oors on Gra$e" - %ig#re 8'2 page 7> ?o! =ame3 Su!$ect3 ?o! =um!er3 0riginator3 *hec'er3
Area# A
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE T@IC4NESS ANALYSIS %or S&a' S#'(ecte$ to Concentrate$ Post Loa$ing )or ! 1 >> pci/ Per PCA "S&a' Tic!ness Design )or In$#stria& Concrete %&oors on Gra$e" - %ig#re 8c2 page 77 ?o! =ame3 Su!$ect3 ?o! =um!er3 0riginator3 *hec'er3
Area# A
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE ANALYSIS %or S&a' S#'(ecte$ to Contin#o#s Line Loa$ing )rom a&& ?o! =ame3 ?o! =um!er3
Su!$ect3 0riginator3
Inp#t Data: Sla! %hic'ness# t 8 *oncrete Strength# f C c 8 Su!grade Modulus# ' 8 4all Load# ) 8
222 >222 122 2222
*hec'er3
4all
4all
)
)
in
Dowel +at ?oint,
%opSla!
pci
λ 8 Bλx 8
l!ft
t
psi
)c 8 +Su!grade,
Concrete S&a' Loa$e$ Near Center or at +oint )e 8
4all ) %opSla!
Res#&ts:
Concrete S&a' Loa$e$ Near %ree E$ge Design Parameters: Modulus of Rupture# MR 8 Allow Bending Stress# 5! 8 5actor of Safet# 5S 8 Section Modulus# S 8
9:1 1211 9:9 1:22
psi psi inJ6ft
MR 8 SR%+f Cc, 5! 8 1SR%+f Cc, +as recommended in reference !elow, 5S 8 MR5! S 8 !tJ:
"GRDSLABxls" )rogram ersion :2
"GRDSLABxls" )rogram ersion :2
CONCRETE SLAB ON GRADE ANALYSIS %or S&a' S#'(ecte$ to Stationar* ni)orm&* Distri'#te$ Li5e Loa$s ?o! =ame3 ?o! =um!er3
Su!$ect3 0riginator3
*hec'er3
Inp#t Data: Aisle 4idth
Sla! %hic'ness# t 8 *oncrete Strength# f C c 8 Su!grade Modulus# ' 8 5actor of Safet# 5S 8 ;niform Li&e Load# wLL 8
222 >222 122 :222 9222
in
wLL
wLL+allow, 8
wLL
psi
%opSla!
pci
t
psf +Su!grade,
Concrete S&a' on Gra$e .it ni)orm Loa$s =ote3
t+min, 8 t+min, 8
uniformit of loading
Res#&ts: Design Parameters: Modulus of Rupture# MR 8 Allow Bending Stress# 5! 8 Modulus of Elasticit# Ec 8 )oissonCs Ratio# µ 8
t+min, 8 t+min, 8 9:1 :>2 62>7 2 19
psi psi
MR 8 SR%+f Cc, 5! 8 MR5S Ec 8 97222SR%+f Cc, µ 8 219 +assumed for concrete,
"GRDSLABxls" )rogram ersion :2
Re)erence: ACI ;6>R-7> - "G#i$e to Design o) S&a's-on-Gro#n$" page 7=/
e'site Li http3www http3www http3www http3www http3www http3www http3www http3www http3www http3www http3www http3www http3www
Re)erence: "S&a' Tic!ness Design )or In$#stria& Concrete %&oors on Gra$e" '* Ro'ert G3 Pac!ar$ Port&an$ Cement Association2 7=86/ Doc#ment No3 IS7=93>7D
Reference: Ohio Gratings, Inc. Product Catalog (7-05, page 7!
Re)erence: "Concrete %&oor S&a's on Gra$e S#'(ecte$ to @ea5* Loa$s" '* 3S3 Department o) te Arm* 7=8/ Fan#a& TF 9->=-7 A%F -; Capter 792 page ;-7/
Re)erence: Concrete Gro#n$ %&oors H Pa5ements )or Commercia& an$ In$#stria& se Part T.o: Speci)ic Design TF ;/ '* CCAN Cement H Concrete Association o) Ne. ea&an$/
AAS@TO @ig.a* Loa$s:
AAS@TO @ig.a* Loa$s Carrie$ '* ee& Set @-7> @-79 or @S-79 @-> or @S-> % R Ra,&e
@-9 or @S-9
&'s3/
&'s3/
&'s3/
&'s3/
:2#222 :#222 #222 1#222
62#222 6#222 1:#222 :>#222
>2#222 >#222 1#222 6:#222
92#222 9#222 :2#222 >2#222
Nomenc&at#re: 4 8 %otal &ehicle weight 5 8 5ront axle wheel load R 8 Rear axle wheel load Raxle 8 %otal rear axle load
AAS@TO ee& Loa$s an$ ee& Spacings:
AAS@TO ee& Loa$ S#r)ace Contact Area %oot Print/:
