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The modulus of elasticity is a property specific to a given material and in practice is derived through laboratory testing.

The modulus of elasticity is defined as stress/strain. One would have to apply a force uniformly over a known cross section of a material and monitor the strain utilising strain gauges. When the results are plotted you will notice that you get elastic behaviour up to a point of yield (this is known as the yield stress in normal carbon steels, however in stainless steel where the yield point is not as defined, we normally accept it to be the 0.2% strain) and the material should behave linearly in this area. If you take the gradient of the stress/strain, this will be your Elastic modulus.

Please note that the plotted curve will begin to flatten off roughly at the 0.2% strain line and this is due to the fact that the material has yielded. even after this point the material will not fail but will act 'plastically' up to a point where the material fractures which we call the ultimate stress.

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15y ago

The modulus of elasticity is the slope of the linear portion of the curve (the elastic region).

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Q: How do you find modulus of elasticity from load-displacement curve?
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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.


Where the couple produced in the barton's apparatus to find out modulus of rigidity?

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Why 0.2 percent is used to find offset yield strength?

Due to the difficulty of locating the precise point at which the slope of the modulus line begins to change, indicating the onset of plastic deformation and the yield point. By placing a line parallel to the modulus line it is much easier to see the precise point at which they intersect. The selection of .2% is just a convenient distance to provide a good visible intersection and assure a very reasonable degree of accuracy.


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Related questions

How do you find modulus of elasticity from load displacement curve?

The modulus of elasticity is the slope of the linear portion of the curve (the elastic region).


Is the price elasticity constant along the demand curve?

Price elasticity of demand is equal to the instantaneous slope of the demand curve, or the slope of the tangent line at any point on the demand curve. So if the demand curve is represented by a straight downward sloping line, then yes, price elasticity of demand is equal to the slope of the demand curve. Otherwise, the slope at any point on the curve is changing, and you can find the it by taking the derivative of the demand curve function, which will find the Price elasticity of demand at any single point. Thus, the Price Elasticity of Demand changes at different points on the demand curve.


How do you find the density of an object without finding its mass?

The speed of sound through an object is related to the density and elasticity of the material. Velocity = square root of (elasticity (bulk modulus) divided by density). Thus if you can measure the material's elasticity and the velocity of sound waves passed through it, the density can be calculated without reference to the mass of the object.


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.


How do you find modulus of resilience?

Resilience is the ability of a material to absorb energy when it is deformed elastically, and release that energy upon unloading. The modulus of resilience is defined as the maximum energy that can be absorbed per unit volume without creating a permanent distortion.It can be calculated by integrating the stress-strain curve from zero to the elastic limit. In uniaxial tension,whereUr is the modulus of resilience,σy is the yield strength,andE is the Young's modulus.


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How do you find modulus of number in scientific calculator?

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How do you find Modulus of rigidity using graph?

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Where the couple produced in the barton's apparatus to find out modulus of rigidity?

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Why elasticity concept is required by managers?

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How do you find the slope of a graph if it is a curve?

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