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Why the engineering stress-strain curve in shear is the same as the true stress-strain curve?
The engineering stress-strain curve in shear is the same as the true stress-strain curve because, in shear, the definitions of stress and strain do not change significantly with the material's deformation. True stress accounts for the instantaneous area under load, while engineering stress uses the original area; however, in shear, the relationship remains linear up to the yield point, and the area reduction effect is minimal for typical shear tests. Thus, both curves reflect the same material behavior in shear deformation, leading to equivalent representations.
Is the ratio of stress-strain in the region below the proportional limit on the stress-strain curve?
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
How many stress values can be found in stress strain curve?
An infinite amount... for any given Strain, there is a corresponding Stress value. To see what I mean, plot a Stress Strain graph in excel using 10 sets of values, then do another using 20... the one with 20 has a smoother curve, see where I'm coming from?
How is a stress strain curve obtained?
From the origin O to the point called proportional limit, the stress-strain curve is a straight line. After reaching the proportional limit, the curve shows less stress until it gets to the ultimate strength, where the stress decreases.
How do you find tangential modulus?
The tangential modulus, also known as the secant modulus or tangent modulus, is found by determining the slope of the stress-strain curve at a specific point, typically in the elastic region of the material. To calculate it, you can take the derivative of the stress with respect to strain (dσ/dε) at that point or, alternatively, calculate the average slope between two points on the curve. This modulus provides insight into the material's stiffness under tangential loading conditions.
Where does the stress-strain curve end?
when the material fails
Details about stress strain curve?
stress strain curve details
How can one determine ductility from a stress-strain curve?
Ductility can be determined from a stress-strain curve by looking at the point where the material starts to deform plastically. This is typically shown by a decrease in slope on the curve, indicating that the material is undergoing permanent deformation. The more the curve deviates from the initial linear portion, the more ductile the material is.
When use proof stress?
When the stress-strain curve of a material fails to produce a clear yield strength.
Why the engineering stress-strain curve in shear is the same as the true stress-strain curve?
The engineering stress-strain curve in shear is the same as the true stress-strain curve because, in shear, the definitions of stress and strain do not change significantly with the material's deformation. True stress accounts for the instantaneous area under load, while engineering stress uses the original area; however, in shear, the relationship remains linear up to the yield point, and the area reduction effect is minimal for typical shear tests. Thus, both curves reflect the same material behavior in shear deformation, leading to equivalent representations.
What are the differences in stress-strain curves for different materials?
The stress-strain curves for different materials vary based on their properties. Some materials, like metals, have a linear curve showing elastic behavior before reaching a point of plastic deformation. Other materials, like polymers, may have a more gradual curve with higher strain at failure. Additionally, brittle materials, such as ceramics, have a steep curve with little deformation before breaking. Overall, the differences in stress-strain curves reflect the unique mechanical behaviors of each material.
What determines the slope of a material's stress verse strain curve?
The value of the Young's Modulus of Elasticity, which is an inherent property of the material
What is 2 Secant Modulus?
This question probably is referring to a 2% secant modulus, which can be the tensile, flexural or compressive modulus (slope of a stress/strain curve) of a material that is determined from calculating the slope of a line drawn from the origin to 2% strain on a stress/Strain curve.
What is the significance of the strain stress curve in material testing and how does it help in understanding the mechanical properties of a material?
The strain stress curve in material testing shows how a material responds to applied force. It helps in understanding the mechanical properties of a material by revealing its strength, stiffness, and toughness. The curve provides valuable information on how a material deforms and breaks under different conditions, aiding in the design and selection of materials for various applications.
What information does a stress vs strain curve provide about the mechanical properties of a material?
A stress vs strain curve provides information about how a material responds to applied forces. It shows the relationship between stress (force per unit area) and strain (deformation) in the material, indicating its stiffness, strength, and toughness. The curve can reveal the material's elastic behavior, yield point, ultimate strength, and ability to deform before breaking, helping to understand its mechanical properties and performance under different conditions.
How to interpret the stress-strain curve in materials testing?
The stress-strain curve in materials testing shows how a material responds to applied force. It helps determine the material's strength, stiffness, and toughness. The curve typically includes a linear elastic region, a yield point, and a plastic deformation region. By analyzing the curve, engineers can understand how a material will behave under different conditions and design structures accordingly.
What information does a stress vs strain diagram provide about the behavior of a material under mechanical loading?
A stress vs strain diagram shows how a material responds to mechanical loading. It provides information about the material's stiffness, strength, and ability to deform before breaking. The slope of the curve indicates the material's stiffness, while the peak stress represents its strength. The area under the curve shows the material's toughness.
