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Modulus of Rupture

Ultimate strength determined in a flexure or torsion test. In a flexure test, modulus of rupture in bending is the maximum fiber stress at failure. In a torsion test, modulus of rupture in torsion is the maximum shear stress in the extreme fiber of a circular member at failure. Alternate terms are flexural strength and torsional strength.

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Q: Is Modulus of rupture the same as Maximum stress?
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Is tensile modulus the same as young's modulus?

Yes, indeed. Sometimes tensile modulus is different from flexural modulus, especially for composites. But tensile modulus and elastic modulus and Young's modulus are equivalent terms.


What is the difference between Breaking Strength and Modulus of Rupture (ceramic tile)?

The modulus of rupture is the same as the breaking strength. It is a term used for ceramics where strength is dependent upon statistical distribution of flaw size, flaw shape, and moisture.


Is bending stress is directly proportional to section modulus?

Yes, bending stress is directly proportional to the section modulus. A larger section modulus indicates that the cross-sectional shape of the member is better at resisting bending, leading to lower bending stress. Conversely, a smaller section modulus results in higher bending stress for the same applied bending moment.


Is modulus of rupture same as coefficient of thermal expansion?

No. The modulus of rupture is the strength of brittle material, measured in units of force per area (psi or MPa). The CTE is a measure of how much a material expands under temperature,in parts per degree (C or F).


What is the difference between Youngs modulus and the modulus of elasticity?

Young's Modulus (modulus of elasticity) describes the stress-strain behavior of a material under monotonic loading. The dynamic modulus of elasticity describes the same behavior under cyclic or vibratory loading.


Why does young modulus have same you it as stress?

Hookes law says that stress, s, is proportional to strain,e, as s = E e where E is modulus. Since strain has no units (it is deflection per unit length) the units of E are the same as s. E is the slope of the stress strain diagram.


What is the importance of section modulus?

Sectional modulus of any section determines the strength of a section, i.e. if two sections made up of same material then the section with higher section moduls will carry higher load as the allowable stress is constant for a given material. in analysis of it is useful in determining the maximum stress value to which the section is subjected when the moment is konwn from the relation f=(M/Z) where f= stress at extreem fibre M= maximum bending moment on section Z= section modulus = (moment of inertia/ distance of extreem fibre from NA)


What happens to strain as stress increases?

it also increases in the same proportion as stress. Stress equals strain times a constant, where the constant is Young's modulus. This is Hooke's Law


Metric unit of young's modulus?

Young's modulus is defined as the ration of stress to strain for a given material below the limit of proportionality (the elastic limit). So Young's modulus is calculated by the formula: Stress/Strain is equal to young's modulus. Stress is defined as the force per unit area of cross-section below the limit of proportionality. So the formula is: Force (in newtons)/ Cross sectional area (in square metres). This would give the units Newtons per square metre which is written Nm-2 which is exactly the same as the Pascal (Pa); either can be used. Strain is defined as the fractional change in length produced when a body is subjected to stress. It's formula is: Change in length produced (in metres)/ Original legth (in metres). There are no units as it is a ratio of two values that have the same unit. So Young's Modulus has the formula: (Force/area)/(change in length/original length). This can be simplified to Stress/Strain (the amount of stress a body has to undergo to produce a certain amount of strain. The unit for stress is the Pascal (Pa) and there are no units for strain so overall, the unit for Young's Modulus is the Pascal (Pa) or Nm-2.


Explain the difference between compressive stress and tensile stress?

Tensile Force -The force of pulling something apart. An example would be doing a tensile test on piece of steel to check the tensile strength. They put the piece of steel at a specified size in a machine that uses tensile force and pull apart the test sample. They measure the amount of force necessary to break apart the sample. All steel has a minimum standard of tensile strength required to be called this grade of steel. Compressive Force - The force of compressing an object. A common example is a cement sample compression test. Cements best quality is its compressive strength. This is why it is used as a foundation for buildings. Anyways, the test is placing a cement cylinder at a certain size in a compression machine. It basically squeezes the cement or compresses the cement to the point of rupture. Then they record the amount a compressive force it took to rupture the cement sample. It has to meet a minimum standard to be accepted or they reject the product made from this batch.


How do you calculate the Youngs modulus of a material?

To find the Young's modulus of steel or any other material you require a plot of it's deformation response to loading. Specifically it's axial stress vs axial strain. From this you need to find the gradient of the straight line portion of the curve where the material is behaving elastically and obeying Hooke's law. This is essentially stress / strain and gives you Young's modulus.


What will be the young's modulus if i use two wires both made of copper but they are different in length and diameter?

The Young's modulus will be the same regardless of the length and diameter of the copper wires. Young's modulus is a material property that represents its stiffness and is independent of the size and shape of the material.