Modulus of Rupture of Concrete Beam
Flexural Stress in a loaded Beam. |
Standard Test Methods to Determine the Modulus of Rupture of a Beam
1. Center point loading test (as per ASTM C 293)
Center point loading test |
2. Third point loading test (as per ASTM C 78)
Third point loading test |
Calculation of Modulus of Rupture
1. For a rectangular sample under a load in a three-point bending setup
- F is the load (force) at the fracture point (N)
- L is the length of the support span
- b is width
- d is thickness
2. For a rectangular sample under a load in a four-point bending setup where the loading span is one-third of the support span
Equation 2:-
- F is the load (force) at the fracture point
- L is the length of the support (outer) span
- b is width
- d is thickness
3. For the 4 pt bend setup, if the loading span is 1/2 of the support span
Equation 3:-
4. If the loading span is neither 1/3 nor 1/2 the support span for the 4 pt bend setup
Equation 4: -
- Li is the length of the loading (inner) span
Difference between Rupture and Tensile Strength
There is always the possibility of some local defects being present in any object. When an object is put under tensile stress it tends to ‘expand’. All the fibers or regions of an object experience an equal force. Any weak regions in such a case may give up and undergo deformation. Difference between Rupture and Tensile Strength Flexural stress, on the other hand, exerts both tensile and compressive force upon an object. This results in unequal distribution of forces among the fibers of the objects. The ‘extreme fibers’, i.e., the fibers at the surface of the object tend to experience maximum forces. Therefore, they are most vulnerable to breakage or rupture.Importance of Modulus of Rupture
The calculation of modulus of rupture is considered crucial in structural mechanics,- It helps in designing structural elements like beams, cantilevers, shafts, etc.
- Aids in the study of materials and their properties.
- Provides a parameter for development of stronger constructional materials.
- Flexural strength helps in judging the quality of structures being used for construction.
- It is a tool to predict both resistance and durability of objects
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