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Are Your Roof Members Overstressed?

May 15, 2018

Membrane roof systems
installed on steel roof
decks traditionally result
in a uniform transfer of
wind (uplift) loads from
the roof membrane to the
steel roof deck and underlying supporting
structure (e.g., steel joists). For example, in
a built-up membrane roof system—which
has been used commonly in the U.S. roofing
industry for more than 125 years—the
built-up membrane is continuously adhered
to rigid board insulation. The rigid board
insulation, which is used to span the steel
deck’s flutes, is mechanically attached to
the steel roof deck in a closely spaced pattern
(e.g., one fastener per every 3 sq. ft.),
resulting in a near-uniform uplift load path.
Polymer-modified bitumen roof systems and
adhered single-ply membrane roof systems
are installed in similar configurations and
result in a similar uniform uplift load path.
In the 1960s, single-ply membrane
roof systems were first introduced into the
U.S. roofing market. By the late 1970s,
the seam-fastened, mechanically attached
method of installation was first introduced.
With this installation method, the single-ply
membrane sheet is mechanically attached
along its outer edges into the roof deck,
which results in a larger tributary uplift
load per fastener and placement of fasteners
in linear, non-uniform loading configurations
of the roof deck and underlying supporting
structure. When first introduced,
membrane sheet widths in seam-fastened
single-ply membrane roof systems typically
were five feet wide, resulting in rows of
mechanical fasteners spaced at five feet
on-center. Since the early 2000s, single-ply
membrane sheet widths have become wider,
with 10-ft.-wide sheets now commonplace,
resulting in rows of mechanical fasteners
spaced at 10 feet on-center.
Currently, single-ply membrane roof
systems have clearly overtaken conventional
built-up and polymer-modified bitumen
membrane systems in market share.
The seam-fastened, mechanically attached
method of installation also has overtaken
traditionally adhered methods of application.
The National Roofing Contractors
Association’s (NRCA’s) annual market survey
shows seam-fastened, mechanically
attached single-ply membrane roof systems
make up the majority of all membrane roof
systems currently installed.
With the present emphasis on wind
resistance in design, a closer look at how
seam-fastened mechanically attached singleply
membrane roof systems interact with
steel roof deck and joist construction is in
order.
A common method of single-ply membrane
sheet layout is shown in Figure 1. A
common placement of mechanical fasteners
is shown in Figure 2. These concentrated
J u l y 2 0 1 8 RC I I n t e r f a c e • 2 3
Figure 1 – Typical membrane layout by roofers.
line loads can severely overstress the steel
deck and may also cause the steel joist
below the deck to be overstressed under
uplift loading. The behavior of such fastening
systems, when the roof system is
subjected to uplift loadings, is shown in
Figure 3.
The current trend in securement is
for the membrane installer to mechanically
fasten the membrane to the deck
only along the edge of the
sheet rolls to speed up the
roof installation, thereby
lowering installation costs.
Unfortunately, the structural
engineer of record and
the steel deck and joist suppliers
are usually unaware
of the concentrated load
pattern of the roof membrane
attachment. In fact,
the architect of record may
not be aware of the ramifications
of such attachments.
The architectural
roofing specifications may
simply state that the roof
membrane shall be installed
per manufacturer’s recommendations.
The roofing
installer’s foreman is the
one who generally decides
on the exact layout of the membrane
sheets on the roof. That
decision is made based on
what layout can be installed
in the fastest and least expensive
manner. Roofing suppliers
and FM Global recommend
the fastener line loads not be
installed parallel to the deck
ribs, but rather perpendicular
to the deck flutes. Placing the
lines of attachment parallel to the deck ribs
will only load a one-foot width of the steel
deck. This recommendation helps but may
not eliminate potential severe overstress of
the deck.
Currently, the Steel Deck Institute’s
(SDI’s) position paper, “Attachment of
Roofing Membranes to Steel Deck,” states:
“SDI does not recommend the use of roofing
membranes attached to the steel deck using
line patterns with large spacing unless a
structural engineer has reviewed the adequacy
of the steel deck and the structural
supports to resist the wind uplift loads
transmitted along the lines of attachment.
Those lines of attachment shall only be perpendicular
to the flutes of the deck.”
DECK STRENGTH EXAMPLE
To illustrate the potential effect of the
attachment pattern, determine the deck
strength for the following conditions illustrated
by Figures 1 and 2. Use load and
resistance factor design (LRFD) load combinations
and the American Society of Civil
Engineers’ ASCE 7-10. Thus, the controlling
ASCE load combination is 0.9D + 1.0W.
(Wind calculations are not shown for brevity.)
Given: A roof system located in Kansas
City, Missouri. Category II Building.
Exposure C per ASCE 26.7.3. This is an
enclosed building with a flat roof (¼ in./ft.).
The building is 100 by 100 ft. in plan and
has an eave height equal to 30 ft.
The metal deck is 1.5-in., 22-gage, wide
rib (WR) deck on joists 6 ft. on-center. Fy
= 33 ksi. The roof dead load on the metal
deck = 5 psf. The membrane is 10 ft. wide
in the interior zones and 5 ft. wide in the
perimeter zones.
From the SDI Roof Deck Design Manual
(RDDM), φMn (negative moment capacity) =
5.358 kip-inches, and φMp (positive moment
capacity) = 5.088 kip-inches.
Interior Zone (Field of Roof)
Uplift line loads are determined using
component and cladding ASCE requirements
(ASCE Chapter 30).
The fasteners are placed perpendicular
to the deck span and are spaced 1 ft.
on-center. Therefore, the membrane area
is 10 sq. ft. (1- x
10-ft.-wide sheet).
The uplift pressure is
33.3 psf.
Assume that at
some location in the
field of the roof, the
fastener line will be
positioned at the
center of a deck end
span. From a structural
analysis of a
three-span deck, the
maximum moment
occurs in the end
span (positive
2 4 • RC I I n t e r f a c e J u l y 2 0 1 8
Figure 2 – Typical fastener layout at corner zones.
Table 1 – Summary table of required deck strength to actual deck strength.
Figure 3 – Line-attached membrane under uplift.
Courtesy of the Steel Deck Institute.
moment); Mr = 4.85 kip-inches. For a uniformly
loaded deck, the maximum moment
occurs over the two supports (negative
moment); Mr = 1.24 kip-inches.
East-West Perimeters (Attachments
Perpendicular to Deck Span)
The first line load is 5 ft. from the building
edge, and the second is 10 ft. from the
edge. The third is 20 ft. from the edge.
First Line Load: The membrane area for
the first line load = (5 ft. x 1 ft.) = 5 sq. ft.
Second Line Load: The membrane area
for the second line load = (2.5 ft. + 5 ft.)(1
ft.) = 7.5 sq. ft.
Third Line Load: The membrane area
for the third line load = (5 ft. + 5 ft.)(1 ft.) =
10 sq. ft. The uplift pressure is 55.8 psf for
the first 10 ft. from the building edge and
33.3 psf for the remainder of the three-span
deck.
The maximum moment is 4.32 kipinches
and occurs in the second span as
a positive moment. For a uniformly loaded
deck, the maximum moment is 2.31
kip-inches (negative) and is located over the
first support from the building edge.
North-South Perimeters (Attachments
Parallel to Deck Span)
Note: Fasteners running parallel to the
deck flutes is a severe condition and not
recommended. If used, the following loading
conditions occur.
Line Load: Parallel to Deck Flutes
The uplift pressure is 55.8 psf.
The membrane area for the line load = (5
ft. x 1 ft.) = 5 sq. ft.
Line load on 1 ft. of deck width = (5 ft.)
(55.8 psf)- 4.5 plf = 275 pounds per ft.
Positive moment = Mw = (0.08)wL2 =
(0.08)(0.275 kips per ft.)(6 ft.)2 = 0.79 kipfeet
= 9.50 kip-inches.
Negative moment: Mw = (0.10)wL2 =
(0.10)(.275 kips per ft.)(6 ft.)2 = 0.99 kip-feet
= 11.9 kip-inches.
For a uniformly loaded deck, the maximum
negative moment is 2.22 kip-inches.
Corner Condition Zone
The uplift pressure is 84.0 psf for the
first 10 ft. from the building edge, and 55.8
for the remainder of the three-span deck.
Line load on 1 ft. of deck width = [(5 ft.)
(84 psf)]/2-4.5 plf = 206 pounds per ft. for
first 10 ft. The division by 2 is to account
for load distribution between fastener lines.
Then (5 ft.)(55.8 psf)-4.5 plf = 275 pounds
per ft. beyond.
Based on a continuous beam analysis,
the maximum negative moment equals
11.55 kip-inches and occurs over the second
interior support from the corner. The
maximum positive moment occurs within
the third span and equals 9.64 kip-inches.
For a uniform load, the maximum negative
moment equals 3.48 kip-inches and occurs
over the first interior support. The maximum
positive moment occurs in the first
span and equals 2.73 kip-inches. See Table
1 for a summary of the conditions.
Conclusions
North-south perimeters and corner zone
failures occurred. It is interesting to note
that with the amounts of overload shown
in these calculations, there are not more
reported deck and joist failures. There may
be a number of reasons for fewer reported
failures. For example:
1. The design uplift anchorage of the
deck to the joists, while increased
for mechanical attachment as compared
to adhered membranes, does
not exceed the factors of safety in
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the design of the deck attachment
fasteners.
2. The majority of roofs have not seen
roof uplift loads of those predicted
by ASCE 7.
3. The decks may have higher yield
strengths than those used in the
design example. The SDI RDDM tabulates
roof deck capacity based on a
lower bound yield stress of 33 ksi.
Many manufacturers provide decks
with yield stresses of 40, 50, or 80
ksi (limited to a 60-ksi design stress
by the AISI S100 standard). A design
stress of 60 ksi versus 33 ksi will
increase the deck flexural strength
by about 70%.
APPLICATION WHEN REROOFING
An important point to note is that, per
NRCA, approximately two-thirds of the roofing
installed every year in the U.S. is reroofing
of existing buildings. Buildings that
are 20 to 30 years old are unlikely to have
higher-yield-strength steel decks. Therefore,
caution is required when evaluating the roof
deck when reroofing.
HIGHER WIND REGIONS
The analysis described above was performed
on a building located within the
basic wind velocity zone of 115 mph per
ASCE 7-10. Particular attention must be
paid to the design of the deck for regions
where the wind velocity is higher. At higher
design wind speeds, a deck that is adequate
to support an adhered membrane roof
2 6 • RC I I n t e r f a c e J u l y 2 0 1 8
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This article refers to FM Approval Standard 4470 regarding steel decks and
a factor of safety of 2. In fact, the FM Global requirements for steel decks are
covered in FM Approval Standard 4451, Approval Standard for Profiled Steel
Panels for Use as Decking in Class 1 Insulated Roof Construction, and FM Global
Property Loss Prevention Data Sheet 1-29. FM Approval Standard 4451, Section
4.3.1.6, states, “Stresses induced to steel roof decking shall be determined by
rational analysis using Allowable Strength Design (ASD) principles and shall
not exceed the allowable stresses per the latest edition of the North American
Specification for the Design of Cold-Formed Steel Structural Members, AISI
S100-2007.” FM Global Property Loss Prevention Data Sheet 1-29, Section
2.2.3.2, includes tables that are based on ASD principles and the allowable
stresses per AISI S100-2012. This section also allows for “a performance-based
approach” with the required assumption (Subsection C), “Assume maximum
allowable stresses are determined using allowable strength design (ASD) in
accordance with AISI S100-2012, or comparable standard outside the United
States.” Therefore, the FM Global requirements are no more stringent than
AISI S100 for steel deck spans and thicknesses.
This confusion may have been the result of interpretation of the definition
of Service Wind Load within FM Approval Standard 4470, which states, “The
uplift load resulting from a windstorm that a roof assembly must resist. The
service load is equal to one-half of the rated load in psf (kPa).” As part of the
FM Approval process covered by this standard, simulated wind uplift pressure
testing is performed on roof assemblies. The rated load achieved by a particular
roof assembly in uplift pressure testing is equivalent to two times the uplift
pressure from a windstorm the roof assembly is required to resist. Therefore,
the factor of safety of two applies only to the performance of a roof assembly
during uplift pressure testing. It does not apply to deck span calculations.
Anthony Longabard
Staff Engineering Specialist
FM Global
CLARIFICATION
with uniform uplift deck loading may not
be structurally adequate to support widely
spaced line loads from a mechanically
attached membrane roof.
FM GLOBAL REQUIREMENTS
Often, FM Approval Standard 4470,
Single-Ply, Polymer-Modified Bitumen Sheet,
Built-Up Roof (BUR), and Liquid-Applied
Roof Assemblies for Use in Class 1 and
Noncombustible Roof Deck Construction, is
required for roof systems. These requirements
are more stringent with respect to
deck spans and thicknesses because the
FM standard uses a factor of safety of two
(see sidebar clarification for updated information),
whereas the AISI S100 standard
mandates an ASD factor of safety of 1.67
for flexure. These requirements can be
found on FM’s RoofNav website. Go to www.
roofnav.com and select Reference Materials,
followed by Approval Standards. The FM
Standard provides wind ratings based on
fastener row spacing, deck spans, deck
thicknesses, and deck yield strengths.
For the above example, for a 33-ksi, 1.5-
in. WR deck spanning 6 ft., a 20-gage deck is
required to obtain a 60 rating (30 psf ASD).
RECOMMENDATIONS
Design recommendations for single-ply
roofing when concentrated line securements
are used to connect the membrane to steel
roof deck instead of uniformly distributed
securements include:
1. When FM Global requirements are to
be followed, maximum deck spans,
deck thicknesses, and deck yield
strengths as required by FM Global
must be used.
a) Based on the maximum concentrated
line loads determined
from FM Global, specify the
required joist net uplift.
b) Coordinate design requirements
with the general contractor and
the architect.
2. When FM Global requirements are
not required:
a) Determine the uniform net uplift
forces based on the building
code in force.
b) Using the spacing between the
lines of fasteners for the membrane,
perform a structural analysis
of the deck as a three-span
beam, placing the first concentrated
load at the mid-span of
the first deck span. The subsequent
loads are placed according
to their spacing. This analysis
will produce a moment diagram
that is close to the maximum
that would be achieved from an
influence line analysis.
c) From this analysis, specify a
deck that has a flexural capacity
that exceeds the maximum
positive and negative design
moments.
d) If no deck is found that will
work, change the spacing of
the supports (joists) or alter
the spacing of membrane fastening.
Changing the spacing
of the membrane fastening is
something that requires coordination
with the entire roofing
team (specifier, manufacturer,
and installer).
e) Determine the net uplift requirement
for all joists based on the
final selected line securement
spacing and forces.
f) Specify these requirements to
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the joist manufacturer.
g) Coordinate design requirements
with the general contractor and
the architect.
ECONOMICS
Based on experience, using the wide
attachment spacing may not be economical
when one considers the increase in deck
costs and joist costs as compared to the
labor savings using the wide securement
spacing. For any given project, these cost
comparisons should be made.
EDITOR’S NOTE: This article is republished
with permission from STRUCTURE, March
2017.
2 8 • RC I I n t e r f a c e J u l y 2 0 1 8
Thomas Sputo is
president of Sputo
and Lammert
Engineering, LLC,
Gainesville, FL,
and Technical
Director of the Steel
Deck Institute. He
is also an emeritus
senior lecturer in
the Department of
Civil and Coastal
Engineering at the
University of Florida. He holds a PE license
in twelve states plus an SE license in Illinois.
He may be reached at tsputo50@gmail.com.
Thomas Sputo, PhD,
PE SE, FASCE
James M. Fisher
is vice president
emeritus of Computerized
Structural
Design, Milwaukee,
WI, and
a consulting engineer
to the Steel
Joist Institute. He
has authored and
coauthored several
books and numerous
technical publications.
Fisher is active on several AISC
specification task committees, as well as
AISI Cold-Formed Specification Committee
and ASCE 7. He may be reached at jfisher.
florida@gmail.com.
James M. Fisher, PhD,
PE, Dist. MASCE
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Hempcrete. Photo courtesy of GreenBuilt.