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Presented by
S.Selvaprakash
Code Referred: IS: 516 – 2002
Flexure
The state of being flexed (i.e. being bent)
Flexural strength
It is also known as modulus of rupture, bend strength, or fracture
strength, a mechanical parameter for brittle material, is defined as a
material's ability to resist deformation under load.
The flexural strength represents the highest stress experienced
within the material at its moment of rupture.
When an object formed of a single material, like a wooden beam or
a steel rod, is bent, it experiences a range of stresses across its depth.
At the edge of the object on the inside of the bend (concave face)
the stress will be at its maximum compressive stress value.
At the outside of the bend (convex face) the stress will be at its
maximum tensile value.
These inner and outer edges of the beam or rod are known as the 'extreme
fibers'.
Most materials fail under tensile stress before they fail under compressive
stress, so the maximum tensile stress value that can be sustained before the
beam or rod fails is its flexural strength.
Apparatus Required
 Flexural Strength testing machine / Universal Testing machine
 Balance
 Scale
Formula
The flexural strength of the specimen expressed as the modulus of rupture
kg/cm2
Where
b = measured width of the specimen (cm)
d = measured depth of the specimen at the point of failure (cm)
l = Length of the span on which the specimen was supported (cm)
P = Load applied (kg)
Flexural strength in concrete test
Apparatus
The testing machine may be of any reliable type of sufficient
capacity for the tests.
The permissible errors shall be not greater than ± 0.5 percent of
the applied load where a high degree of accuracy is required and not
greater than ± 1.5 percent of the applied load for commercial type of
use.
The bed of the testing machine shall be provided with two steel
rollers, 38 mm in diameter, on which the specimen is to be
supported, and these rollers shall be so mounted that the distance
from centre to centre is 60 cm for 15.0 cm specimens or 40 cm for
10.0 cm specimens. The load shall be applied through two similar
rollers mounted at the third points of the supporting span, that is,
spaced at 20 or 13.3 cm centre to centre.
The load shall be divided equally between the two loading
rollers, and all rollers shall be mounted in such a manner that the load
is applied axially and without subjecting the specimen to any
torsional stresses or restraints.
 The value of the modulus of rupture (extreme fibre stress in
bending) depends on,
- the dimension of the beam and
- the manner of loading.
 The systems of loading used in finding out the flexural tension are
- central point loading and
- third point loading.
 In the central point loading, maximum fibre stress will come below
the point of loading where the bending moment is maximum.
 In case of symmetrical two point loading, the critical crack may
appear at any section, not strong enough to resist the stress
within the middle third, where the bending moment is maximum.
 It can be expected that the two point loading will yield a lower
value of the modulus of rupture than the centre point loading.
Flexural strength in concrete test
The following figure shows the modulus of rupture of beams of different
sizes subjected to centre point and third point loading.
Procedure
Test specimens stored in water at a temperature of 24° to 30°C for
48 hours before testing, shall be tested immediately on removal from the
water whilst they are still in a wet condition.
The dimensions of each specimen shall be noted before testing.
No preparation of the surfaces is required.
Placing the Specimen in the Testing Machine
The bearing surfaces of the supporting and loading rollers shall be
wiped clean, and any loose sand or other material removed from the
surfaces of the specimen where they are to make contact with the rollers.
The specimen shall then be placed in the machine in such a manner
that the load shall be applied to the uppermost surface as cast in the
mould, along two lines spaced 20.0 or 13.3 cm apart.
The axis of the specimen shall be carefully aligned with the axis of
the loading device.
No packing shall be used between the bearing surfaces of the
specimen and the rollers.
The load was then applied without shock and increasing
continuously at a rate such that the extreme fibre stress increases at
approximately 7 kg/sq cm/min, that is, at a rate of loading of 4KN per
minute for 15 cm specimen and 1.80KN per minute for 10 cm specimen.
The load was increased until the specimen failed and the
maximum load applied to the specimen during the test was recorded.
The appearance of the fractured faces of concrete and any
unusual features in the type of failure were also noted. The flexural
strength of the specimen expressed as the modulus of rupture was the
found from the formula,
If the fracture initiates in the tension surface within the middle
third of the span length.
 If the fracture occurs in the tension surface outside the middle third
of the span length, by not more than 5% of the span length and
discard the result if it is more than 5%.
The following information shall be included in the report on
each specimen:
a) identification mark,
b) date of test,
c) age of specimen,
d) curing conditions,
e) size of specimen,
f) span length,
g) maximum load,
h) position of fracture (value ‘a’),
j) modulus of rupture (kg per sq cm), and
k) appearance of concrete and type of fracture if these are
unusual.

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Flexural strength in concrete test

  • 2. Code Referred: IS: 516 – 2002 Flexure The state of being flexed (i.e. being bent) Flexural strength It is also known as modulus of rupture, bend strength, or fracture strength, a mechanical parameter for brittle material, is defined as a material's ability to resist deformation under load. The flexural strength represents the highest stress experienced within the material at its moment of rupture. When an object formed of a single material, like a wooden beam or a steel rod, is bent, it experiences a range of stresses across its depth. At the edge of the object on the inside of the bend (concave face) the stress will be at its maximum compressive stress value. At the outside of the bend (convex face) the stress will be at its maximum tensile value.
  • 3. These inner and outer edges of the beam or rod are known as the 'extreme fibers'. Most materials fail under tensile stress before they fail under compressive stress, so the maximum tensile stress value that can be sustained before the beam or rod fails is its flexural strength. Apparatus Required  Flexural Strength testing machine / Universal Testing machine  Balance  Scale Formula The flexural strength of the specimen expressed as the modulus of rupture kg/cm2 Where b = measured width of the specimen (cm) d = measured depth of the specimen at the point of failure (cm) l = Length of the span on which the specimen was supported (cm) P = Load applied (kg)
  • 5. Apparatus The testing machine may be of any reliable type of sufficient capacity for the tests. The permissible errors shall be not greater than ± 0.5 percent of the applied load where a high degree of accuracy is required and not greater than ± 1.5 percent of the applied load for commercial type of use. The bed of the testing machine shall be provided with two steel rollers, 38 mm in diameter, on which the specimen is to be supported, and these rollers shall be so mounted that the distance from centre to centre is 60 cm for 15.0 cm specimens or 40 cm for 10.0 cm specimens. The load shall be applied through two similar rollers mounted at the third points of the supporting span, that is, spaced at 20 or 13.3 cm centre to centre. The load shall be divided equally between the two loading rollers, and all rollers shall be mounted in such a manner that the load is applied axially and without subjecting the specimen to any torsional stresses or restraints.
  • 6.  The value of the modulus of rupture (extreme fibre stress in bending) depends on, - the dimension of the beam and - the manner of loading.  The systems of loading used in finding out the flexural tension are - central point loading and - third point loading.  In the central point loading, maximum fibre stress will come below the point of loading where the bending moment is maximum.  In case of symmetrical two point loading, the critical crack may appear at any section, not strong enough to resist the stress within the middle third, where the bending moment is maximum.  It can be expected that the two point loading will yield a lower value of the modulus of rupture than the centre point loading.
  • 8. The following figure shows the modulus of rupture of beams of different sizes subjected to centre point and third point loading.
  • 9. Procedure Test specimens stored in water at a temperature of 24° to 30°C for 48 hours before testing, shall be tested immediately on removal from the water whilst they are still in a wet condition. The dimensions of each specimen shall be noted before testing. No preparation of the surfaces is required. Placing the Specimen in the Testing Machine The bearing surfaces of the supporting and loading rollers shall be wiped clean, and any loose sand or other material removed from the surfaces of the specimen where they are to make contact with the rollers. The specimen shall then be placed in the machine in such a manner that the load shall be applied to the uppermost surface as cast in the mould, along two lines spaced 20.0 or 13.3 cm apart. The axis of the specimen shall be carefully aligned with the axis of the loading device.
  • 10. No packing shall be used between the bearing surfaces of the specimen and the rollers. The load was then applied without shock and increasing continuously at a rate such that the extreme fibre stress increases at approximately 7 kg/sq cm/min, that is, at a rate of loading of 4KN per minute for 15 cm specimen and 1.80KN per minute for 10 cm specimen. The load was increased until the specimen failed and the maximum load applied to the specimen during the test was recorded. The appearance of the fractured faces of concrete and any unusual features in the type of failure were also noted. The flexural strength of the specimen expressed as the modulus of rupture was the found from the formula, If the fracture initiates in the tension surface within the middle third of the span length.
  • 11.  If the fracture occurs in the tension surface outside the middle third of the span length, by not more than 5% of the span length and discard the result if it is more than 5%.
  • 12. The following information shall be included in the report on each specimen: a) identification mark, b) date of test, c) age of specimen, d) curing conditions, e) size of specimen, f) span length, g) maximum load, h) position of fracture (value ‘a’), j) modulus of rupture (kg per sq cm), and k) appearance of concrete and type of fracture if these are unusual.