Deflection of FRP Sheet Piling
The most important factor when designing with any FRP
composite product is to ensure that your supplier fully
understands the materials and has a complete and broadly
tested set of performance parameters. It is extremely
important to ensure that the product you are incorporating
in your design has been comprehensively evaluated by
the manufacturer in both directional and localized stress
analyses as well as full section testing. The capabilities
of CMI's UltraComposite products have therefore been
specified based on actual full section testing and include a
design procedure that incorporates global deflections and
insures real world performance will be accurately predicted.
All FRP composite designs are deflection based
Deflections are a critical component when evaluating
the performance of FRP composites. It is often possible
for an FRP product to fail due to excessive deflections
long before a simple moment capacity is reached even
with the incorporation of significant factors of safety. As a
result, the entire FRP composites industry has successfully
incorporated deflection as a primary design constraint.
Because with FRP composites deflections are a design
constraint rather than serviceability limit, accurate
prediction becomes much more critical. The critical nature
of the calculation combined with the complexity of the
materials is significant enough for a more comprehensive
evaluation of deflection calculations.
Shear deflection can significantly affect design
accuracy Although FRP composites are generally stiffer than other
synthetic materials, an accurate prediction of product
deflection requires a more extensive analysis. The deflection
of FRP products are normally controlled primarily by simple
beam formulas but are also significantly affected by the
often overlooked shear component of the analysis.
The deflection of a bending member can be effected by
other stresses induced by beam loading. When dealing
with composite materials in particular, deflections can
be dramatically increased by shear deformation. Shear deformation or shear deflections are supplemental
deflections occurring in a beam due to an induced shear flow.
Shear flow is the horizontal stress within a beam cross section
induced by beam loading.
For example, a stack of plywood will be significantly stiffer if
the individual pieces are nailed or glued together rather than
simply stacked with no bonding. The difference in stiffness is
due to shear deflection.
Using Apparent Modulus to achieve accurate
results FRP composite materials are particularly susceptible to shear
deflections due to a small amount of slippage of the different
laminar layers with respect to one another within the
composite. In fact, if shear deflections are not incorporated
when designing with FRP composites, predicted deflections can be as much as 30% to 50% lower than those actually
seen in the field.
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 Rather than relying on the designer to use a complicated
shear term in deflection formulas, all CMI UltraComposite
product specifications incorporate the shear deflection
effect through the use of an Apparent Modulus of Elasticity.
The Apparent Modulus of Elasticity is obtained not by
coupon tests but rather by back calculation of modulus
from standard full section bend testing and beam
formulas. The net result is a modulus number that will
allow calculations to predict true deflections rather than
underestimate deflection by the use of coupon test derived
modulus numbers.
Alternatives to Apparent Modulus
Unfortunately, obtaining an accurate Apparent Modulus
requires the manufacturer have a thorough knowledge
of FRP composites and undertake a substantial amount
of full section full length testing rather than simple and
inexpensive coupon testing. Because of the cost and
complexity of determining an Apparent Modulus, certain
competitors will not specify one. Designers must be wary,
values obtained from coupon testing are not sufficient
even when combined with a comprehensive Finite Element
Analysis (FEA) design program. If only a Young's modulus,
modulus of elasticity, or tensile modulus value, rather than
an Apparent Modulus, is provided in a product specification
it is essential that one of two possible procedures is used
when calculating deflection for any FRP composite product:
· The first alternative is to incorporate a shear term in
the deflection formula. This is relatively complex for
standard bending equations and is extremely difficult
when evaluating sheet piling loading scenarios. In fact,
there is no computer model available today that will
incorporate shear deflection in sheet piling design.
· The second alternative is to reduce the Young's
modulus, modulus of elasticity, or tensile modulus by
50% in order to incorporate error, and then input into
standard design formulas.
As an alternative to the preceding two options the designer can input an Apparent Modulus directly into all deflection
calculations. If the product has been evaluated sufficiently,
and comprehensively tested, then using an Apparent
Modulus in standard deflection calculations is an effective
an accurate method of predicting deflection and ensuring
predictions will match real world performance.
Using deflection based design techniques
Once the designer has calculated a reliable deflection
value based on the specific site conditions and project
characteristics, and using an apparent modulus or reduced
Young's Modulus, the value can be checked against the
industry standard deflection limits specified for the sheet
piling products being evaluated. The deflection based design
procedure itself is relatively simple. However, the designer
must beware, using improper calculation inputs like a
standard modulus rather than apparent modulus can result in
significantly flawed results.
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