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Using Section Modulus to Select and Compare
Vinyl Sheet Piling | Mike Yeats | |
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2006 |
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The vinyl sheet piling market has come a long way since it was
first conceived by the roots of Crane Materials International
in the late 1980s. In the early days of vinyl sheet piling the
only decision customers needed to make was whether to
use the single vinyl sheet piling product available or one of
the more traditional materials like steel, wood, or concrete.
There have been considerable advancements over the years
and there are now dozens of products available from several
suppliers. Although the increase in performance and product
selection for vinyl sheet piling has advanced the scope and
notoriety of the industry, it has also brought several new
challenges. Most notably, the process of comparing different
vinyl sheet piling products on a true structural performance
basis has become challenging. Different suppliers use
different comparison numbers, like "Allowable Moment",
that can often be confusing and misleading. It is essential
that a customer have the ability to compare products on an
equal basis in order to allow for effective bidding and budget
evaluation of prospective projects. Furthermore, an unequal
structural comparison can mislead a user of vinyl sheet piling
into potentially using a product with inadequate safety for
the application in question. This paper will outline the time
tested method of structural comparison for sheet piling
using an engineering property known as Section Modulus,
and explain how Section Modulus can effectively be used
to compare vinyl sheet piling products across the entire
industry on a fair and equivalent basis.
There are two basic categories of engineering properties
for all structural building products. Shape properties and
material properties. Shape properties are characteristics that
describe the effectiveness of a given shape in supporting
loads, and are completely independent of the material being
used. Shape properties, which include Moment of Inertia,
Cross-Sectional Area, and Section Modulus among others,
are used to determine the effectiveness of the shape of a
structural product. For example, shape properties would
be used to determine the effect on structural performance
of providing thicker flanges or structural ribs on a current
product design. Material properties, on the other hand, are
the engineering characteristics of a specific material, and
are completely independent of the shape of the product.
Material properties which include properties like Tensile
Strength and Modulus of Elasticity are used to describe the
structural performance of a material. Material properties
would be used to determine the performance change of a
product of a given shape if the materials were to be changed.
For example, material properties would be used to evaluate
the difference between aluminum and vinyl sheet piling of the
same shape. When shape properties and material properties
are combined the overall performance of a structural product
can be determined.
The most common factor used to describe structural
performance is Bending Moment. Bending Moment combines
the material property of Stress with the shape property of
Section Modulus using the following equation:
Where M is Bending Moment, s is Stress, and Z is Section
Modulus. This is by far the most common description of
structural performance in engineering, particularly for sheet
piling. When evaluating the ultimate performance, maximum
theoretically possible, the ultimate stress value is used in this
equation. When evaluating the allowable capacity, maximum
within given safety parameters, the allowable stress (or
Design Stress) of the material is used. The only number that
changes based on the application requirement and desired
safety of the designer is the stress. The Section Modulus is
a constant and always remains so, regardless of the situation.
The Section Modulus is the factor in the above noted equation
that describes the performance of the shape of the product,
and requires no judgment to accurately depict. The Section
Modulus component of the equation can be simply calculated
from a drawing of the cross section of the product at hand.
The challenge for designers evaluating vinyl sheet piling is
that the allowable stress component of the Bending Moment
equation can vary depending on the level of safety deemed
necessary by the designer. (Please refer to the CMI White Paper,
Design Stress for Vinyl Sheet Pile) For example, the following
two calculations can be used for the exact same vinyl sheet
piling product using two different Design Stress values.
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Although the products, and therefore Section Moduli, of the
products are exactly the same in calculation A and calculation
B, it could be perceived that the product in calculation A is
superior. In this specific case the product in calculation A is
shown to be 16% stronger than in calculation B, when in fact
the actual capacities are identical. This is due to the different
factors of safety used to determine Design Stress. The different
levels of safety are hidden in the moment calculation. The
only common factor is the Section Modulus which is identical
for both products. A more accurate comparison based on
Section Modulus would show the products to be the same.
In an even more dramatic example let's compare two products
of differing structural capacity.
If the designer was evaluating the two products described
above based on Moment only it could be assumed that
product C is 9% stronger than product D. Contrary to what
the moment comparison would imply, product C has an actual
capacity that is 6% lower than product D. The difference is,
a lower level of safety was used to describe product C, and
therefore the comparison is misleading and inaccurate.
An accurate moment comparison of these two products
would use the same design stress for both, as shown here:
This calculation accurately depicts product C to have a lower
capacity than product D.
After several simple examples, it becomes relatively clear
how comparing products based on Moment ratings can be
extremely misleading. When Moment numbers are the sole
means of comparison, the material supplier is able to conceal
the level of safety used in determining product capacity,
and can overstate product capability in an effort to gain a
competitive advantage. In other words, moment based
specifications can hide the true performance of a product by
reducing the level of safety in order to give the product an
appearance of being stronger than it actually has.
In order to minimize the confusion and possible error, the
steel sheet piling industry has eliminated the use of Design
Stress when comparing steel sheet piling products. For
decades, steel sheet piling has been compared using Section
Modulus only. When two products of the same material are
being compared, the need to compare material properties
is eliminated. In other words, if the materials for the two
products being compared are the same, then they can be
compared more accurately using shape properties only. The
true structural performance can be compared accurately
using Section Modulus, and Section Modulus alone. Knowing
that the products C and D above are both made from vinyl,
they could be more accurately compared using Section
Modulus. This comparison would accurately show that the
products have the same structural capacity. Furthermore,
a simple comparison of Section Modulus would accurately
show Product C to have a capacity 6% lower than product D.
A depiction of vinyl sheet piling products available at the time
of the publishing of this paper can be found in the following
chart. The products are displayed in order of lowest structural
capacity to highest based on published Section Modulus.
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