COST
MODEL FOR BRIDGE COATING SYSTEMS
A numerical system used to predict
applied costs of coating products for steel bridge protection
By Wayne
A. Senick, Steel Reclamation Specialist, Termarust, Inc., Montreal, Qc
Paul D. Carter,
P. Eng., Ried Crowther & Partners Ltd., Edmonton, AB
Charles N. Bradford,
P. Eng., Alberta Transportation & Utilities, Edmonton, AB
Dr. Reed Ellis,
Ph. D., P. Eng., SLG Stanley Consultants Inc., Edmonton, AB
Introduction
How can one predict the total costs of
a steel bridge coating as an aid in budgeting?
The applied costs include both materials
and labour, but these vary significantly from one coating product to another
and include factors such as the number and thickness of coats.
This article reviews a system originally
refined for use by Alberta Transportation & Utilities (AT&U) to
analyse the interaction between labour and coating material costs and to
predict total painting costs for different types of typical Alberta bridges.[1]
This data was designed to help make cost-effective
predictions of likely maintenance expenditures for future painting projects,
particularly when bid modification factors were taken into account. Bid
modification factors relate to the estimated remaining life of the bridge
and the expected longevity of each coating type. For example, it often
is more cost-effective to pay for a premium coating product if a structure
is expected to be in service for a number of years. On the other hand,
it would not be justifiable to use a premium product to paint a bridge
that will be replaced in a short period of time.
However, the cost model presented here
is limited to a comparison of installed costs (materials and application)
of different coating systems and does not examine life cycle costs.
Furthermore, surface preparation and coating
equipment costs are treated as constants for all coating systems.
The figures used in this article reflect
real world numbers in the Province of Alberta at the time the cost model
was developed.
Methodology
The first step was to find a point of reference
to allow comparison of cost data between currently used and new, proposed
coatings.
AT&U had painted more than 500 bridges
with the M50 alkyd (lead-based) system over a period of 30 years, so there
was significant historical data on the cost of applying this system in
Alberta.
The data showed significant variation in
applied costs for different types of bridges. In recent years, AT&U
has coated bridges only with low VOC, nonlead-based systems. As a result,
the need to more accurately predict the applied costs for contract painting
was identified. The formula presented here uses the historical costs for
the M50 alkyd system as a reference. However, the M50 reference used in
the AT&U spread-sheet could be replaced to reflect whatever baseline
material an owner chose to use.
A number of new and proposed coating systems
were evaluated in the laboratory for AT&U and its partners, including
other departments of transportation, municipal governments, and an independent
testing facility. This evaluation involved a series of accelerated test
procedures for predicting the durability or potential service lives of
these paints in different types of field exposure environments.2 The testing
protocol was designed to emulate the physical conditions in which the coating
systems would have too function in the field. PowerTechLabs of Surrey,
BC, was commissioned as the independent testing agency to test and evaluate
the systems.
The coating systems included in the AT&U
applied cost spreadsheet were tested by PowerTech in 1993 and 1994.3
The spreadsheet was developed using Microsoft
Excel. The format allowed for variables to be input from manufacturers’
product data sheets or other information known from field experience.
Variables included material and labour
costs, waste factors depending on the type of bridge structure being coated,
rate of coverage, and cost of the reference coating (M50 alkyd) for both
overcoat and recoat applications. The analysis was based on three categories
of bridge structures: pony trusses, through or desk trusses, and plate
girder-type bridges
The figures used were derived by polling
contractors and considering historical data on field performance. There
may be other costs, such as cleaning between coats to ensure intercoat
adhesion. These additional costs could be included by decreasing the application
rates for the coats.1
Assumptions
For the purpose of this analysis, the following
assumptions were made.
-
One litre of a 100 percent solids coating
will cover 36.4 square metres (m2) at 1 mil dry film thickness (DFT) at
100 percent transfer efficiency (standard coverage).
-
Surface preparation costs are constant for
all coating systems. Washing followed by an SSPC-SP 6 commercial blast
cleaning preparation (equivalent to ISO Sa 2) is AT&U’s standard procedure.
-
Coating equipment costs are assumed to be
the same for all coating systems on an hourly basis.
-
Worker application rates are variable and
depend on factors such as the applied DFT and percent solids of the liquid
paint.
-
Typical waste factors (for overspray, wind
drift etc.) may vary from site to site. AT&U’s generally accepted percentage
transfer efficiency for spray applications on bridge projects is 50 percent
loss for truss-type structures and 30 percent loss for girder-type structures.
These numbers can be adjusted in the spreadsheet for special conditions
and types of structures.
-
Standard application rates for one painter
may vary from coating to coating and site to site. For truss bridges, the
numbers assumed are 18 square metres per hour (m2/hr) for the first coat
and 22.5 m2/hr for subsequent coats. For girder-type bridges, the assumed
coverage rates are 24 m2/hr for the first coat and 30 m2/hr for subsequent
coats.
-
Worker’s wages may vary from site to site
and from time to time.
-
Environmental, worker safety, and containment
factors are assumed to be constant within the Province of Alberta.
Other Variables
There are other factors that affect the
unit cost for coating bridge structures. These factors are
-
percent volume solids of paint,
-
recommended DFT,
-
number of coats,
-
price per litre by tender or open offer, and
-
type of bridge structure:
-
pony truss – a truss with no overhead members,
-
through truss – a truss with overhead members,
-
deck truss – a truss with no structure above
the desk, or
-
girder-type structure – any structure with
supporting girders beneath the deck, including riveted girder structures,
rigid frame structures, rolled beam structures, and welded girder structures.
Formulas to Establish Applied Unit Cost
The following algorithm was used to calculate
the total cost of applying each of the coating products.
1: Material cost:
1.a: Material coverage:
( SC x %S x WF ) / DFT
= MCOV
The data used in this formula comes from
coating suppliers’ material data sheets and the standard coverage mentioned
above.
1.b: Total material unit cost:
($/L) x MCOV =
TMCOST
2: Application unit cost:
2.a: Base application
unit cost:
($/hr) / AR = BAC
Fig. 1
2.b: Modified application
cost for percentage of solids and mil thickness is
based on the formula in Fig.1.
3. Total unit cost for all coats applied,
including modified application cost for percent of costs not associated
with number of coats (i.e., mobilisation, preparation, etc.), is based
on the formula in Fig. 2.
Abbreviations:
| SC = Standard coverage (m2/L) |
$/L = Material cost ($/L) |
| TACOST = Total application cost
($/m2) |
AR(2) = Application
rate for one painter |
| %S = Percent of solids by volume |
NM = New material as opposed to
the M50 system |
| %NA = Percent of costs not associated
with the number of coats |
TOTCOST= Total applied cost
($/m2) |
| WF = Waste factor (%) |
# TC = Number of additional coats |
| DFT = Dry film thickness (mils) |
$/hr = Application labour rate ($/hr) |
| AR(1) = Application rate for one |
TMCOST = Total material cost ($/m2) |
| MCOV = Material coverage
(m2/L) |
BAC = Base application
cost ($/m2) |
| M50 = M50 system |
%IN = Percentage influence ofpercent solids
mil thickness stated by user (%) (Setting the percentage influence of
percent solids and mil thickness to 100 percent would imply that it is
believed for the project that an 80 percent solids material could
be applied twice asquickly as a 40 percent solids material
for the same mil thickness. Conversely
it also implies that a material would require twice as much to apply at
8 mils than a material with the same percent solids would at a 4-mil thickness). |
Overcoating vs. Recoating
There generally is a difference in the
number of coats as well as the DFT required for overcoating aged alkyd
versus recoating blast-cleaned bare steel. For example, while an overcoating
job may require two coats at a total DFT of 6 mils, a recoating project
may require three coats and a total of 9 mils DFT. In addition, more labour
may be required for recoating jobs, because instead of spot-cleaning a
structure for overcoating, the entire structure would be cleaned for recoating.
There also may be additional costs for
containment requirements, disposal of hazardous waste, etc. Inclusion of
these costs when selecting a material to be tendered on a contract can
provide a more accurate estimate of the budget needed for the project.
Overview of the Cost Model
In the following listing, fields 1-15 are
the adjustable parameters in the cost model that can be altered for a particular
project; fields 16-24 are the calculated fields on the spreadsheet.
Adjustable Parameters:
Fields 1-15
-
Truss bridge overspray percent – Overspray
variables were separated into two categories, because in field situations
it was found that rates of loss and overspray were greater on a truss with
lattice work than a girder beam structure, which has more flat surfaces.
This rate can be adjusted to any rate that fits the actual situation.
-
Girder bridge overspray percent – As noted,
the loss rate on a girder structure usually is less than on a truss bridge,
so a second loss factor can be placed in this cell to reflect loss of material
on this type of structure.
-
Painters’ wages per hour ($/hr) – The applicable
charge-out rate can be placed in this cell. It can be the actual paid rate
or a contract charge-out rate. Either will provide a valid cost per square
metre.
-
Truss coverage, m2/hr (first coat) – The figure
in this example is 18 m2 covered by one painter in one hour applying M50
primer at 2 mils DFT and 59 percent volume solids on a truss bridge. The
figure was obtained by polling contractors and averaging the covering rates
AT&U has experienced in field-coating these structures, but it is adjustable
for any specific project.
-
Truss coverage, m2/hr (subsequent coats) –
The figure in this example is 22.5 m2 covered by one painter in one hour
applying a second coat of M50 at 2 mils DFT and 46 percent volume solids.
In an overcoat situation, this would be the topcoat(s). In a recoat situation,
this figure would be used for each additional coat. This figure may be
adjusted to reflect extra time required to clean between coats, mix catalysing
material, clean up hazardous material, flush equipment, or wait for multiple
coats to dry. These are all factors in accurately predicting the installation
cost. The figure used in this example includes only the actual time required
to coat and does not make allowances for these variables.
-
Girder coverage, m2/hr (first coat) – The
figure in this example is 24 m2/hr covered by a painter applying M50 alkyd
primer at 2 mils DFT and 59 percent volume solids. This figure is based
on polling contractors and averaging the covering rates AT&U has experienced
in field-coating these structures. It is adjustable for any specific project.
-
Girder coverage, m2/hr (subsequent coats)
– The figure in this example is 30 m2/hr covered by one painter applying
a second coat of M50 at 2 mils DFT and 46 percent volume solids.
-
Percent influence of percent solids and mils
on productivity (first coat) – This figure reflects extra costs in applying
the primer coat due to more time being required if the coating needs additional
passes to get proper film build or a tack coat so it will not run. For
example, setting the percent influence of percent solids and mil thickness
to 100 percent means it is believed an 80 percent solids material could
be applied twice as quickly as a 40 percent solids material at the same
mil thickness. Conversely, it also means a material would require twice
as much time to apply at 8 mils than a material with the same percent solids
would require at a 4-mil thickness.
Table 1: Overcoating Unit Costs Per
Square Metre
Please click here to see table.
Description of Systems:
A = Alkyd (M50 System)
B = Calcium Sulfonate Alkyde
C = Moisture-Cured Micaceous
Iron Oxide / Urethane
D = Water-borne Vinyl
E = Water-borne Acrylic
F = Zinc-Rich Epoxy / High-Build
Vinyl
G = 2-Component Epoxy /
Water-borne Acrylic
H = Water-borne Modified
Calcium Sulfate Alkyd
I = 2-Component, High-Build
Epoxy / 2-Component Urethane
J = High-Solids Zinc / Epoxy
Micaceous Iron Oxide / Moisture-Cured Urethane
K = 2-Component Epoxy /
2-Component, High-Solids Urethane
L = Water-borne Acrylic
M = 2-Component, High-Build,
Surface-Tolerant Epoxy
N = Water-borne Vinyl /
Water-borne Acrylic
O = 2-Component Zinc-Rich
/ Moisture-Cured Urethane
P = 100% Solids Epoxy Sealer
/ Water-borne Latex / Water-borne Acrylic
Table 2: Recoating Unit Costs Per Square
Metre
Please click here to see table.
Description of Systems:
A = Alkyd (M50 System)
B = Calcium Sulfonate Alkyde
C = Moisture-Cured Micaceous
Iron Oxide / Urethane
D = Water-borne Vinyl
E = Water-borne Acrylic
F = Zinc-Rich Epoxy / High-Build
Vinyl
G = 2-Component Epoxy /
Water-borne Acrylic
H = Water-borne Modified
Calcium Sulfate Alkyd
I = 2-Component, High-Build
Epoxy / 2-Component Urethane
J = High-Solids Zinc / Epoxy
Micaceous Iron Oxide / Moisture-Cured Urethane
K = 2-Component Epoxy /
2-Component, High-Solids Urethane
L = Water-borne Acrylic
M = 2-Component, High-Build,
Surface-Tolerant Epoxy
N = Water-borne Vinyl /
Water-borne Acrylic
O = 2-Component Zinc-Rich
/ Moisture-Cured Urethane
P = 100% Solids Epoxy Sealer
/ Water borne Latex / Water-borne Acrylic
Table 3: Summary of Input Data
Please click here to see table.
PT = Pony Truss TH = Through
Truss DT = Deck Truss WG = Welded Girder
-
Percent influence of percent solids and mils
on productivity (subsequent coats) – This figure reflects extra costs in
applying the mid-coat and topcoat(s) (i.e., additional passes might be
required to get proper film
-
Percent of costs not associated with number
of coats – This figure represents costs such as surface preparation, mobilisation,
containment, environmental constraints, etc.
-
Manufacturer’s specified mil thickness – This
figure is the mil thickness from the manufacturer’s data sheet for each
coat.
-
Percent solids by volume (%S) – The manufacturer’s
data sheet also provides the percent volume solids for each coat.
-
Cost per litre of material ($/L) – This figure
is the cost per litre of material either from actual tenders, open offers,
or quoted pricing.
-
Adjustable base line applied cost for each
category of structure for the M50 alkyd system for overcoating – This figure
is the total cost per square metre for the installed system for overcoating
each individual type of structure.
-
Adjustable base line applied cost for each
category of structure for the M50 alkyd system for replacement – This figure
is the cost per square metre for recoating a structure with total removal
of the existing coating on each individual type of structure.
Calculated Fields on Spreadsheet:
Fields 16-24
-
Girder coverage, square metres per litre (m2/L)
at the specified mil thickness – This is the amount of material required
to cover 1 square meter at the specified DFT for a girder-type structure.
-
Truss coverage, m2/L at the specified mil
thickness – This is the amount of material required to cover 1m2 at the
specified DFT for a truss-type structure.
-
Girder material cost per square metre ($/m2)
at the specified mil thickness – This figure is the cost of the material
to cover 1 m2 of girder at the specified DFT.
-
Truss material cost ($/m2) at the specified
mil thickness – This is the cost of
Table 4: Summary of Total Material
and Application Costs Per System ($/m2)
Please click here to see table.
Key: WB = Water-borne
MC = Moisture-Cured HB = High-Build MIOX = Micaceous Iron Oxide
PT = Pony Truss TH = Through Truss
DT = Deck Truss WG = Welded Girder
-
material to cover 1 m2 of truss at the specified
DFT.
-
Girder application cost ($/m2) at the specified
mil thickness – This figure is the cost of application of the material
at the specified DFT to 1 m2 of a girder-type bridge.
-
Truss application cost ($/m2) at the specified
mil thickness – This is the cost of application of the material at the
specified DFT to 1 m2 of a truss bridge.
-
Order total cost ($/m2), including material
and application cost differences at the specified mil thickness – This
figure is the total unit cost of application, including both materials
and application per square metre, for the coating system at the specified
DFT for a girder-type structure.
-
Pony truss total cost ($/m2), including material
and application cost differences at the specified mil thickness – This
is the total unit cost of application, including both materials and application
per square metre, for the coating system at the specified DFT for a pony
truss-type structure.
-
Through truss and deck truss total cost ($/m2),
including material and application cost at the specified mil thickness
– This is the total unit cost of application, including both materials
and application per square metre, for the coating system at the specified
DFT for through trusses and deck trusses.
Discussion
Table 1 is a breakdown of the calculations
to determine the unit cost for overcoating various types of bridge structures
using a variety of coating systems. For comparison, the M50 alkyd baseline
material is listed first. Table 2 is a comparable breakdown of the calculations
for determining the unit cost for recoating various types of bridge structures.
Table 3 summarises the assumptions and the variables used for the calculations.
Table 4 is a summary output of the various coating systems, the structure
types, and the unit costs for overcoating or recoating these structures,
including material and application costs.
The figures in Table 4 illustrate that
a large factor affecting the installed cost of these coating systems is
the number of coats. This is substantiated by the fact that the installed
cost of the one-coat system is notably less than the installed cost of
the multi-coat systems.
Knowledge of the material and application
costs is essential for predicting an accurate overall cost for coating
any structure.
Furthermore, combining bid modification
factors, such as the expected remaining life of a structure and the expected
longevity of a coating system (i.e., cost/m2 years of service), with accurate
predictions of installed costs for various coating products can be a powerful
planning tool.
Summary
This article describes an interactive computer
programme used for predicting applied bridge painting costs for a variety
of paint systems with different application and material characteristics.
Fifteen different material and site variables can be adjusted for their
impact on the final unit cost. One-coat systems of differing thicknesses
and solids contents can be compared with multiple-coat paint systems for
the final cost. This programme is a useful tool, and when used in conjunction
with service life prediction data and proper planning, it can simplify
the process of selecting the most cost-effective paint systems for a wide
variety of situations.
References
-
1. Wayne A. Senick, «Establishing a
Value for Material and Application Costs per Applied Square Metre for Coatings»,
Unpublished, 1993.
-
M. Chichak and P. Carter, «Accelerated
Testing of Low VOC Paint Systems for the Development of an Approved Product
List», International Bridge Conference, St. Louis, MO, US, 1995.
-
J. Inch, «Test Program to Approve Paint
Systems for Use on Steel Highway Bridges and Other Structures», ABTR/RD/RR
– 94/07, PowerTech, Surrey, BC.
Author Wayne Senick can be reached
by e-mail: wsenick@Termarust.com or by phone: 1-888-279-5497
.
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A version of this article was originally published in 'Balancing Economics and Compliance for Maintaining Protective Coatings' (SSPC 95-09). The proceeding of the SSPC 95 seminars in Dallas Texas U.S. It is published here with permission from SSPC.
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