Standard Test Method for Determining Floor Tolerances Using Waviness, Wheel Path and Levelness Criteria

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1.1 This test method covers data collection and analysis procedures to determine surface flatness and levelness by calculating waviness indices for survey lines and surfaces, elevation differences of defined wheel paths, and levelness indices using the inch-pound system of units.  Note 1-This test method is the companion to SI Test Method E1486M; therefore, no SI equivalents are shown in this test method. Note 2-This test method was not developed for, and does not apply to, clay or concrete paver units.
1.1.1 The purpose of this test method is to provide the user with floor tolerance estimates as follows:
1.1.1.1 Survey line waviness and surface waviness indices for floors based on deviations from the midpoints of imaginary chords as they are moved along a floor elevation profile survey line. End points of the chords are always in contact with the surface. The imaginary chords cut through any points in the concrete surface higher than the chords.
1.1.1.2 Defined wheel path criteria based on transverse and longitudinal elevation differences, change in elevation difference, and root mean square (RMS) elevation difference.
1.1.1.3 Levelness criteria for surfaces characterized by either of the following methods: the conformance of elevation data to the test section elevation data mean or the conformance of the RMS slope of each survey line to a specified slope for each survey line.
1.1.2 The averages used throughout these calculations are RMS (that is, the quadratic means). This test method gives equal importance to humps and dips, measured up (+) and down (-), respectively, from the imaginary chords.
1.1.3 Appendix X1 is a commentary on this test method. Appendix X2 provides a computer program for waviness index calculations based on this test method.
1.2 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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Publication Date
09-Sep-1998
Technical Committee
Drafting Committee
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ASTM E1486-98 - Standard Test Method for Determining Floor Tolerances Using Waviness, Wheel Path and Levelness Criteria
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: E 1486 – 98
Standard Test Method for
Determining Floor Tolerances Using Waviness, Wheel Path
and Levelness Criteria
This standard is issued under the fixed designation E 1486; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (e) indicates an editorial change since the last revision or reapproval.
1. Scope priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use.
1.1 This test method covers data collection and analysis
procedures to determine surface flatness and levelness by
2. Referenced Document
calculating waviness indices for survey lines and surfaces,
2.1 ASTM Standards:
elevation differences of defined wheel paths, and levelness
E 1486M Test Method for Determining Floor Tolerances
indices using the inch-pound system of units.
Using Waviness, Wheel Path, and Levelness Criteria (Met-
NOTE 1—This test method is the companion to SI Test Method
ric)
E 1486M; therefore, no SI equivalents are shown in this test method.
NOTE 2—This test method was not developed for, and does not apply
3. Terminology
to, clay or concrete paver units.
3.1 Descriptions of Terms Specific to This Standard:
1.1.1 The purpose of this test method is to provide the user
3.1.1 Waviness Index Terms:
with floor tolerance estimates as follows:
3.1.1.1 chord length—the length of an imaginary straight-
1.1.1.1 Local survey line waviness and overall surface
edge (chord) joining the two end points at j and j+2k. This
waviness indices for floors based on deviations from the
length is equal to 2 ks (see Fig. 1) where the survey spacing s
midpoints of imaginary chords as they are moved along a floor
is equal to 1 ft and where k is equal to 1, 2, 3, 4, and 5 to define
elevation profile survey line. End points of the chords are
chord lengths of 2, 4, 6, 8, and 10 ft, respectively, unless values
always in contact with the surface. The imaginary chords cut
for s and k are otherwise stated.
through any points in the concrete surface higher than the
3.1.1.2 deviation (D )—the vertical distance between the
kj
chords.
surface and the mid-point, j+ks, of a chord of length 2ks whose
1.1.1.2 Defined wheel path criteria based on transverse and
end points are in contact with the surface.
longitudinal elevation differences, change in elevation differ-
3.1.1.3 length adjusted RMS deviation (LAD )—calculated
k
ence, and root mean square (RMS) elevation difference.
for a reference length L of 10 ft, unless otherwise stated, in
r
1.1.1.3 Levelness criteria for surfaces characterized by ei-
order to obtain deviations that are independent of the various
ther of the following methods: the conformance of elevation
chord lengths, 2ks.
data to the test section elevation data mean or the conformance
3.1.1.4 waviness—the relative degree to which a survey line
of the RMS slope of each survey line to a specified slope for
deviates from a straight line.
each survey line.
3.1.2 defined wheel path traffıc—traffic on surfaces, or
1.1.2 The averages used throughout these calculations are
specifically identifiable portions thereof, intended for defined
RMS (that is, the quadratic means). This test method gives
linear traffic by vehicles, with two primary axles and four
equal importance to humps and dips, measured up (+) and
primary load wheel contact points on the floor and with
down (−), respectively, from the imaginary chords.
corresponding front and rear primary wheels in approximately
1.1.3 Appendix X1 is a commentary on this test method.
the same wheel paths.
Appendix X2 provides a computer program for waviness index
3.1.3 levelness—described in two ways: the conformance of
calculations based on this test method.
surface elevation data to the mean elevation of a test section
1.2 This standard does not purport to address all of the
(elevation conformance) and as the conformance of survey line
safety concerns, if any, associated with its use. It is the
slope to a specified slope (RMS levelness).
responsibility of the user of this standard to establish appro-
3.1.3.1 elevation conformance—the percentage of surface
elevation data, h , that lie within the tolerance specified from
i
the mean elevation of a test section. The absolute value of the
This test method is under the jurisdiction of ASTM Committee E-6 on
distance of all points, h , from the test section data mean is
i
Performance of Buildings and is the direct responsibility of Subcommittee E06.21
on Serviceability.
Current edition approved Sept. 10, 1998. Published November 1998. Originally
published as E 1486 – 94. Last previous edition E 1486 – 94. Annual Book of ASTM Standards, Vol 04.11.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
E 1486
imax 5 total number of survey points along one of
Lx
the pair of survey lines, Lx, representing the
wheel paths of defined wheel path traffic.
j 5 designation of the location of the survey
point which is the initial point for a devia-
tion calculation (j 5 1, 2, 3 . . . jmax ).
k
jmax 5 total number of deviation calculations with
k
a chord length 2ks along a survey line.
k 5 number of spaces of length s between the
FIG. 1 Explanation of Symbols
survey points used for deviation calcula-
tions.
kmax 5 maximum number (rounded down to an
L
tested against the specification, dmax. Passing values are
integer) of spaces of length s that can be
counted, and that total is divided by the aggregate quantity of
used for deviation calculations for imax
L
elevation data points for the test section, and percent passing is
survey points (kmax 5 5 unless otherwise
L
reported.
specified).
3.1.3.2 RMS levelness—directionally dependent calculation
L 5 designation of survey lines (L 5 1, 2, 3 . . .
of the RMS of the slopes of the least squares fit line through
Lmax).
successive 15-ft long sections of a survey line, L. The RMS
LAD 5 length-adjusted RMS deviation based on
k
LV is compared with the specified surface slope and specified
L
points spaced at ks and a reference length of
maximum deviation to determine compliance.
L .
r
3.1.4 Symbols:
Lg 5 total number of survey spaces between
primary axles of a vehicle used as the basis
for longitudinal analysis of each pair of
A 5 area of test section, ft .
survey lines representing the wheel paths of
d 5 point i, of the (15/s + 1) point subset of
defined wheel path traffic. Lg equals the
i 51to imax, where d is a point within the
integer result of the primary axle spacing,
(15/s + 1) point subset, used to evaluate
ft, divided by s.
RMS levelness.
Lmax 5 the number of survey lines on the test
dh 5 number of elevation data points of survey
L
surface.
line, L, which lie within the maximum
L 5 a reference length of 120 in., the length to
allowable deviation from the test section r
which the RMS deviations, RMS D , from
elevation data mean, dmax. k
chord lengths other than 120 in. are ad-
D 5 deviation from chord midpoint, j+k, to the
kj
justed.
survey line, in.
LD 5 longitudinal elevation difference between
dmax 5 specified maximum allowable deviation
i
corresponding pairs of points separated by
from the test section elevation data mean.
Lg of defined wheel paths, mm (i 5 1, 2, 3
EC 5 the percentage of elevation data within a
. . . (imax − Lg)).
test section complying to a specified maxi-
L
LDC 5 incremental change in longitudinal eleva-
mum deviation, dmax, from the mean of all i
tion difference, LD along defined wheel
elevation data points within a test section.
i
path traffic wheel paths, in./ft (i 5 1, 2, 3
EC 5 the percentage compliance of each survey
L
line to a specified maximum deviation, . . . (imax −Lg− 1)).
L
Lx 5 designation of the pair of survey lines used
dmax, from the mean of all elevation data
for defined wheel path traffic analysis.
points within a test section.
mh 5 mean elevation of each 15–ft section of
h 5 elevation of the points along the survey
d
i
survey line, L, mm (d 5 1, 2, 3 . . .
line, in.
(imax − 15/s)).
ha 5 elevation of the points along the survey line
i L
ms 5 mean slope of the least squares fit line of
of the left wheel path of defined wheel path d
each 15–ft section of survey line, L, in./ft
traffic, in.
(d 5 1, 2, 3 . . . (imax − 15/s)).
hb 5 elevation of the points along the survey line
L
i
n 5 total number of calculated deviations for
of the right wheel path of defined wheel
L
survey line L (equal to the sum of the values
path traffic, in.
i 5 designation of the location of survey points of jmax for all values of k that are used).
k
The symbol n is a weighting factor used in
along a survey line (i 5 1, 2, 3 . . . imax ).
L L
imax 5 total number of survey points along a sur- calculating both the waviness and surface
L
vey line. waviness indices.
E 1486
4.1.3.1 mh 5 mean elevation of survey line, L, calculated
RMS D 5 root mean square of chord midpoint offset
L
k
for use only in calculating mh (see Eq 15).
deviations, D , based on points spaced at TS
kj
4.1.3.2 mh 5 mean elevation of a test section, calculated
ks.
TS
for use only in calculating dh (see Eq 16).
RMS LD 5 root mean square of longitudinal elevation
Lx L
differences, LD , on paired wheel path sur- 4.1.3.3 dh 5 number of elevation data points of survey
L
i
vey lines for defined wheel path traffic, with line, L, passing the specification, dmax, used for calculating
primary axles separated by L , in. both EC and EC (see Eq 17 and 18).
L
g
RMS TD 5 root mean square of transverse elevation
4.1.3.4 EC 5 percentage of elevation data points on survey
Lx
L
differences, TD , on paired wheel path sur-
line, L, that comply with dmax (see Eq 19).
i
vey lines for defined wheel path traffic, in.
4.1.3.5 EC 5 percentage of elevation data points within a
RMS LV 5 RMS levelness, calculated as the root mean
L test section complying with dmax (see Eq 20).
square slope of each survey line, L, in./ft.
4.1.3.6 mh 5 mean elevation of each 15-ft section of
d
s 5 spacing between adjacent survey points
survey line, L, calculated for use only in calculating RMS LV
L
along a survey line (1 ft unless a smaller
(see Eq 21).
value is stated), ft.
4.1.3.7 ms 5 mean slope of the least squares fit line of each
d
SWI 5 surface waviness index determined by com-
15-ft section of survey line, L, calculated for use only in
bining the waviness indices of all the sur-
calculating RMS LV (see Eq 22).
L
vey lines on the test surface, in.
4.1.3.8 RMS LV 5 RMS of least squares fit 15-ft slopes
L
TD 5 transverse elevation difference between
i
(see Eq 23).
corresponding points of defined wheel path
4.2 Waviness Index—Chord Length Range:
traffic wheel paths, in.(i 5 1, 2, 3 .
4.2.1 Unless a different range is specified, the waviness
imax ).
Lx
index, WI , shall be calculated for a 2-, 4-, 6-, 8-, and 10-ft
L
TDC 5 incremental change in transverse elevation
i
chord length range.
difference, TD along defined wheel path
i
4.2.2 The chord length, 2ks, is limited by the total number of
traffic wheel paths, in./ft (i 5 1, 2, 3 .
survey points along a survey line. To ensure that the elevation
(imax − 1)).
Lx
of every survey point is included in the deviation calculation
WI 5 waviness index for survey line L with chord
L
that uses the largest value of k, the maximum value of k, called
length range from 2.0 to 10 ft unless a
kmax , is determined by:
L
different range is stated, in.
3.2 Sign Convention—Up is the positive direction; conse-
kmax 5 imax /3 ~rounded down to an integer! (1)
L L
quently, the higher the survey point, the larger its h value.
i
4.2.3 Reduce the maximum chord length so that 2(kmax )s
L
is approximately equal to the maximum length that is of
4. Summary of Test Method
concern to the user.
4.1 Equations—Equations are provided to determine the
NOTE 3—For longer survey lines, kmax , which is determined using Eq
L
following characteristics:
1, permits the use of chord lengths 2ks longer than those of interest or
4.1.1 Waviness Index Equations:
concern to the floor user.
4.1.1.1 RMS D 5 RMS deviation (see Eq 4).
k
4.2.4 The maximum chord length for suspended floor slabs
4.1.1.2 LAD 5 length-adjusted deviation (see Eq 5).
k
shall be 4 ft, unless the slab has been placed without camber
4.1.1.3 WI 5 waviness index (see Eq 6 and 7).
L
and the shoring remains in place.
4.1.1.4 SWI 5 surface waviness index (see Eq 8).
4.3 Waviness Index—Maximum Number of Deviation Mea-
4.1.1.5 |D | 5 absolute value of the length adjusted devia-
kj
surements per Chord Length:
tion (see Eq 24).
4.3.1 As the values of k are increased from 1 to kmax , the
4.1.2 Defined Wheel Path Traffıc Equations:
L
4.1.2.1 TD 5 transverse elevation difference between the number of deviation calculations decreases.
i
wheel paths of defined wheel path traffic (see Eq 9).
jmax 5 imax 2 2k (2)
k L
4.1.2.2 TDC 5 transverse change in elevation difference
i
4.4 Waviness Index—Deviation:
between wheel paths of defined wheel path traffic (see Eq 10).
4.4.1 As shown in Fig. 1, the deviation, D , is
kj
4.1.2.3 RMS TD 5 RMS transverse elevation difference
Lx
between wheel paths of defined wheel path traffic (see Eq 11).
D 5 h 2 ~h 1 h ! in. (3)
kj j1k j j12k
4.1.2.4 LD 5 longitudinal elevation difference between
i
front and rear axles on wheel paths of defined wheel path traffic
4.5 Waviness Index—RMS Deviation:
(see Eq 12).
4.5.1 RMS D is calculated for each chord length using all
k
4.1.2.5 LDC 5 Longitudinal change in elevation difference
i points along the survey line.
between front and rear axles on wheel paths of defined wheel
jmax
k
path traffic (see Eq 13). 2
D
( kj
i51
4.1.2.6 RMS LD 5 RMS longitudinal elevation difference ˛
Lx
RMS D 5 in. (4)
k
jmax
k
between axles on wheel paths of defined wheel path traffic (see
Eq 14). 4.6 Waviness Index—Length-Adjusted Deviations: LAD is
k
4.1.3 Levelness Equations: calculated for a reference length, L , using Eq 5.
r
E 1486
~imax 2Lg!
Lx
jmax
k
L
r
LD
( i
D
(
F kjG
i51
2ks
i51 ˛
RMS LD 5 in. (14)
Lx
~imax 2 Lg!
LAD 5 in. (5)
! Lx
k
jmax
k
4.10 Calculations for Elevation Conformance:
4.7 Waviness Index— The values of LAD obtained for each
k
4.10.1 Mean Elevation of Survey Line—mh is calculated
L
value of k shall be combined with other LAD values for each
for survey line, L, using Eq 15.
line L by weighing the values in proportion to jmax to obtain
k
imax
L
the waviness index, WI .
L
h
( i
i51
kmax
L ˛
mh 5 in. (15)
2 L
imax
~jmax LAD !
L
( k k
k51
˛
WI 5 in. (6)
L 4.10.2 Mean Elevation of a Test Section—mh is calculated
n TS
L
for a test section using Eq 16.
where
Lmax
L
kmax
L
mh
(
L
n 5 jmax (7)
L
...

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