Wood-based panels — Determination of modulus of elasticity in bending and of bending strength
Written and technically reviewed by Dak System Inc. engineering·Last reviewed
EN 310 bends a 50 mm wide strip of wood-based panel flatwise in three-point loading and reports two results from one test: the apparent modulus of elasticity in bending, and the bending strength. It applies to panels of nominal thickness 3 mm and above. The edition in force is EN 310:1993.
A rectangular strip of panel is supported near its ends and loaded through a single roller at mid-span, so it is bent flatwise. Load and mid-span deflection are recorded together, giving two results from one test: the apparent modulus of elasticity in bending from the slope of the elastic part of the curve, and the bending strength from the maximum load.
The word *apparent* in the title of the modulus is deliberate. A three-point bend measurement on a short span includes shear deflection as well as bending deflection, and the standard does not separate them, so the figure is a stiffness of the panel in this configuration rather than a pure elastic constant.
What it measures, and why it matters
Wood-based panels — particleboard, MDF, OSB, plywood — are structural sheet materials, and stiffness and bending strength are how they are specified. A shelf that sags, a soft floor deck and a sheathing panel that cannot take wind load are all bending problems, and this is the number behind all three.
The method applies to panels of nominal thickness 3 mm and above. Both results are reported in the two panel directions where the panel is directional: OSB and plywood are strongly anisotropic, and a single figure describes only the direction it was measured in.
The formulae are published in the standard and are conventional beam theory. Modulus of elasticity is given by
E = l₁³(F₂ − F₁) / 4bt³(a₂ − a₁)
and bending strength by
f = 3F_max l₁ / 2bt²
where l₁ is the span, b the specimen width, t the thickness, F the load and a the corresponding deflection. Both are ordinary three-point bend expressions, which is why span, width and thickness have to be measured on each specimen rather than taken from the nominal values.
Specimen and span
The span rule is the part that catches people out, because it has both a multiplier and two limits the standard sets.
Material
Wood-based panels of nominal thickness 3 mm or greater
Specimen width
50 mm
Span
20 times the nominal thickness, subject to a minimum and a maximum set by the standardOn thin panels the lower bound governs; on thick ones the upper bound does.
Length
The span plus an overhang at each end
Direction
Both panel directions where the panel is directionalOSB and plywood are strongly anisotropic and a single figure describes only the direction measured.
Conditioning
Conditioned before test; moisture content reported
Measure thickness on every specimen
DakThickness appears cubed in the modulus expression. A two percent error in thickness is a six percent error in E.
Test speed
Rate
Adjusted so that maximum load is reached within 60 ± 30 s
How it is established
On the first specimen of a batch, then held for the restPracticeThe rate is a consequence of the panel type, so it has to be found rather than looked up.
Deflection
Measured at mid-span, on the specimenDeflection is in the denominator of the modulus expression, so crosshead travel gives a modulus that is too low.
Reported
Apparent modulus of elasticity in bending, and bending strength
Calculations
Apparent modulus of elasticity in bendingEm
l₁³ (F₂ − F₁) / [4 b t³ (a₂ − a₁)]
l₁
the span between support centres, mm
F₁, F₂
two loads on the straight part of the curve, N
a₁, a₂
the mid-span deflections at those loads, mm
b
the specimen width, mm
t
the specimen thickness, mm
Conventional three-point beam theory. Span, width and thickness are measured on each specimen rather than taken from nominal values.
Bending strengthfm
3 F_max l₁ / (2 b t²)
F_max
the maximum load, N
Why the modulus is called apparent—
A three-point measurement includes shear deflection as well as bending
The standard does not separate them, so the figure is a stiffness of the panel in this configuration rather than a pure elastic constant.
How the test runs
01Cut 50 mm wide strips in both panel directions.
02Measure width and thickness on every specimen.
03Compute the span as 20 times nominal thickness, then apply the minimum and maximum the standard sets.
04Condition the specimens and record the moisture content.
05Set the support rollers to the computed span and check they rotate freely.
06Fit a deflectometer at mid-span.
07Establish a rate that reaches maximum load in 60 ± 30 s on the first specimen.
08Load flatwise through the central roller to failure.
09Record load and mid-span deflection throughout.
10Compute Em from the straight part of the curve and fm from the maximum load.
11Report both by panel direction.
Grips and fixtures for this method
Adjustable spanTJ-124
Three Point Bend Fixture
Support and loading rollers of the specified diameter, free to rotate, with the span adjustable across the whole range the thickness rule demands. Span accuracy matters because span is cubed in the modulus expression.
A 50 mm strip fails at hundreds of newtons to a few kilonewtons. A cell sized for the panel is what resolves the straight part of the curve the modulus is taken from, which is at a fraction of the failure load.
Panel type, nominal thickness and manufacturer designation
Measured width and thickness of each specimen
Span used
Panel direction of each set
Conditioning atmosphere and moisture content at test
Time to maximum load
How mid-span deflection was measured
Apparent modulus of elasticity in bending for each specimen
Bending strength for each specimen, with means and specimen counts
What the machine must be capable of
Failure loads are modest — commonly hundreds of newtons to a few kilonewtons for a 50 mm strip — so a frame of 5 to 50 kN with a load cell sized for the panel and force accuracy to ISO 7500-1 Class 1 is appropriate.
The rate is set by outcome rather than by number: loading is adjusted so that maximum load is reached within 60 ± 30 s. That has to be established for each panel type, which means the first specimen of a batch is used to find the rate.
Deflection has to be measured at mid-span on the specimen. Crosshead travel includes the machine, the fixture and any bedding of the specimen onto the supports, and since deflection is in the denominator of the modulus expression, taking it from the crosshead gives a modulus that is too low.
Support and loading rollers of the specified diameter are needed, free to rotate, with the span adjustable across the range the thickness rule demands.
What goes wrong in practice
Deflection from the crosshead is the error that most often reaches a report. Thickness taken as nominal rather than measured is the second, and it is magnified threefold in the modulus. A span set to a convenient round number rather than to 20 times the thickness changes both results. And unconditioned specimens give a spread that reads as variable board.
The two core European panel tests
EN 310 and EN 319 answer different questions about the same board, and a board can pass one and fail the other.
EN 310
EN 319
Loads
The panel in flatwise bending
The panel in tension through its thickness
Dominated by
The dense surface layers
The weak core
Result
Modulus of elasticity and bending strength
Internal bond, in N/mm²
Specimen
A 50 mm wide strip on a span set by thickness
A 50 mm square bonded between blocks
Force needed
Hundreds of newtons to a few kN
A few hundred newtons to about 1 kN
Finds
Sag and structural adequacy
Press and resin problems
Bending is carried mostly by the dense faces, so a board with a weak, under-cured core can still bend acceptably. That is why EN 319 exists and why panel product standards specify both.
Questions we are asked about this test
What is EN 310?+
EN 310 is the European method for determining the modulus of elasticity in bending and the bending strength of wood-based panels. A 50 mm wide strip is bent flatwise in three-point loading while load and mid-span deflection are recorded, giving both results from a single test. It applies to panels of nominal thickness 3 mm and above. The edition in force is EN 310:1993, which has not been revised since publication.
How is the span determined?+
It is 20 times the nominal thickness of the panel, subject to a minimum and a maximum set by the standard. That means the multiplier governs only in the middle of the thickness range: on a thin panel the minimum takes over, and on a thick one the maximum does. Getting this wrong changes both results, because span appears in both formulae.
Why is the modulus called apparent?+
Because a three-point bend measurement over a relatively short span includes deflection from shear as well as from bending, and EN 310 does not separate the two. The number is therefore the stiffness of that panel in that test configuration rather than a pure elastic constant of the material. It is entirely usable — everyone in the industry compares against it — but it is not a true E and the standard is careful to say so.
Why must thickness be measured on every specimen?+
Because it appears cubed in the modulus expression. A two percent error in thickness becomes a six percent error in the modulus, and nominal thicknesses on wood-based panels are nominal in earnest — a board sold as 18 mm may sit anywhere in a tolerance band. Using the nominal figure introduces a systematic error that no amount of careful testing recovers.
Why should deflection not be taken from the crosshead?+
Because the crosshead moves further than the specimen deflects. Machine compliance, fixture flex and the specimen bedding onto the support rollers all add travel, and deflection sits in the denominator of the modulus expression — so the modulus comes out low. A deflectometer at mid-span measures the panel. This is the error that most often reaches a report on this method.
Why is the loading rate given as a time rather than a speed?+
Because the right crosshead speed depends on the panel: a thin, flexible MDF and a thick, stiff plywood reach maximum load at very different rates of travel. Specifying that the maximum load is reached within 60 ± 30 s makes the loading rate comparable in terms that matter to the material. In practice the first specimen of a batch is used to find the speed that achieves it.
Does it need to be run in both panel directions?+
For any directional panel, yes. OSB and plywood are strongly anisotropic by construction, and their bending properties along and across the panel can differ by a large factor. A single figure describes only the direction it was measured in, and a report that does not say which direction it came from cannot be used. Particleboard and MDF are much closer to isotropic in-plane, but the direction is still recorded.
This page describes the method as practised. The governing text is the current edition from the issuing body. Tell us what you are testing and we will answer with the machine, the fixture and a quotation.