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The critical shear stress causing failure of material depends upon____________
- a)Properties of the material and normal stress on the plane
- b)Intermediate principal stress
- c)None of the mentioned
- d)All of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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The critical shear stress causing failure of material depends upon____...
According to Mohr’s strength theory, the critical shear stress causing failure depends upon the properties of the materials as well as on normal stress on the failure plane.
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The critical shear stress causing failure of material depends upon____...
Critical Shear Stress and its Dependence on Material Properties and Normal Stress
Critical shear stress is the minimum shear stress required to cause failure of a material. This stress value is dependent upon the properties of the material and the normal stress acting on the plane. Let us discuss this in detail:
Material Properties
The response of a material to shear stress is influenced by its properties, such as its strength, ductility, and toughness. A material with higher strength will require a higher shear stress to cause failure, while a more ductile material will deform more before failing. Similarly, a tougher material will be able to absorb more energy before failure.
Normal Stress
The normal stress acting on a plane also affects the critical shear stress. The presence of normal stress changes the orientation of the plane on which shear stress is acting. This change in orientation can increase or decrease the critical shear stress.
For example, consider a material subjected to a uniaxial stress state. The critical shear stress will be highest when the plane is perpendicular to the direction of the applied normal stress. As the angle between the plane and the normal stress increases, the critical shear stress decreases.
Conclusion
In conclusion, the critical shear stress required to cause failure of a material depends upon its properties and the normal stress acting on the plane. The material properties influence the response of the material to shear stress, while the normal stress affects the orientation of the plane on which shear stress is acting. Understanding this dependence is crucial for engineers to design structures and components that can withstand the expected loads and stresses.
Critical shear stress is the minimum shear stress required to cause failure of a material. This stress value is dependent upon the properties of the material and the normal stress acting on the plane. Let us discuss this in detail:
Material Properties
The response of a material to shear stress is influenced by its properties, such as its strength, ductility, and toughness. A material with higher strength will require a higher shear stress to cause failure, while a more ductile material will deform more before failing. Similarly, a tougher material will be able to absorb more energy before failure.
Normal Stress
The normal stress acting on a plane also affects the critical shear stress. The presence of normal stress changes the orientation of the plane on which shear stress is acting. This change in orientation can increase or decrease the critical shear stress.
For example, consider a material subjected to a uniaxial stress state. The critical shear stress will be highest when the plane is perpendicular to the direction of the applied normal stress. As the angle between the plane and the normal stress increases, the critical shear stress decreases.
Conclusion
In conclusion, the critical shear stress required to cause failure of a material depends upon its properties and the normal stress acting on the plane. The material properties influence the response of the material to shear stress, while the normal stress affects the orientation of the plane on which shear stress is acting. Understanding this dependence is crucial for engineers to design structures and components that can withstand the expected loads and stresses.
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The critical shear stress causing failure of material depends upon____________a)Properties of the material and normal stress on the planeb)Intermediate principal stressc)None of the mentionedd)All of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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