BS ISO 11093-7 pdf download Paper and board — Testing of cores Part 7: Determination of flexural modulus by the three-point method
This part of lSO 11093 specifies a method for the determination, by the three-point method, of the flexuralmodulus of cylindrical paper and board cores which meet the following criteria:
50 mm to 350 mm;
-minimum wall thickness: 0,05 x internal diameter, but not less than 10,0 mm;-minimum length of core: 10 × internal diameter, but not less than 1 000 mm.
lf the flexural modulus has to be used for the calculation of a paper core’s natural frequency, IS0 11093-8(2)applies instead of this International Standard.
The following referenced documents are indispensable for the application of this document.For datedreferences, only the edition cited applies.For undated references, the latest edition of the referenced document(including any amendments) applies.
ISO 11093-1,Paper and board -Testing of cores—Part 1: Sampling
ISO11093-3,Paper and board —Testing of cores —Part 3:Determination of moisture content using the ovendrying method
3Terms and definitions
For the purposes of this document, the following terms and definitions apply.3.1
material property which, together with core dimensions, describes the resistance of the core to traction orbending deflection
In order to determine the flexural modulus, a static bending test is conducted on the test piece.The test pieceis considered as a “beam”and the classic beam theory for the deflection of”slender beams” is applied.Duringthe test, the test piece is supported at its ends and loaded transversally by a load applied by a hanging weight.Special measures are undertaken to avoid permanent deformation of the test piece and to ensure the validityof the equation, used for calculation.
The flexural modulus is calculated as described in Clause 8.
5.1 Test-piece support The test piece is supported at each end by two rolls arranged like a vee, referred to as the lower bearings (see Figure 1). The angle between the two rolls shall be 120° ± 2°. The diameter a of the rolls shall be (30 ± 1) mm. The width b shall be large enough to allow the test piece to rest on the lateral surface area of the rolls. At an angle of 120°, the theoretical minimum value of b is half the outer diameter D of the core.
5.2 Measuring device
The measuring device consists of two rolls arranged like a vee, referred to as the upper bearings, a support bar on which the upper bearings are mounted, and a displacement gauge. The lower and upper bearings are arranged with mirror-image symmetry. The measuring device is placed on the test piece.
The change in deflection f of the test piece is measured in the direction of the applied force using a displacement gauge (see Figure 2).
If a material-testing machine is used to apply the load (see 5.3), it may also be used to measure the deflection of the test piece. It shall be accurate to ±0,01 mm.
The tolerances of the distances and the force F are defined in Clause 7.
5.3 Load The magnitude of the load to be used in the test can be estimated using Equation (2). The load F is applied to the test piece by a belt loaded with hanging weights. The width of the belt shall be approximately 50 mm (see Figure 3). The belt shall have an opening to allow the shaft of the displacement gauge to rest on the test piece.
Alternatively, the load can be applied by a testing machine capable of applying the load using a displacement rate of (10 ± 0,1) mm/min and measuring the load to an accuracy of ±0,1 N.
6 Test piece
Samples shall be taken in accordance with ISO 11093-1.
6.2 Test-piece size
Prepare at least five test pieces such that their lengths L are 10 times the internal diameter of the paper or
board core. If the calculated length is less than 1 000 mm, the test piece length shall be (1 000 ± 2) mm.
In practice, the test piece shall be dried such that the moisture content measured in accordance with ISO 11093-3 shall be equal to that specified for the lot.
Carry out the test under the same atmospheric conditions as those used to condition the test piece.
The core’s outer and inner diameter, D and d respectively, shall be determined with an accuracy of ±0,1 mm.