Engineering Physics: Stress and Strain
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Questions and Answers

Define strain and its different types as mentioned in the provided content.

Strain is the ratio of change in length to the original length, change in volume to original volume, or the angle through which a surface is displaced with respect to an opposite fixed surface.

Explain the concept of the factor of safety and its significance in engineering.

The factor of safety is the ratio of breaking stress to working stress, indicating how much stronger a system is than it needs to be for an intended load.

What determines whether a material remains in the elastic state or becomes permanently deformed?

A material remains elastic if the stress applied is below the working stress; if the stress exceeds this limit, it leads to permanent deformation known as breaking stress.

How is tangential stress related to shear strain according to the content?

<p>Tangential stress is defined as the force applied per unit area, and shear strain is the ratio of the change in length to the length under shear stress.</p> Signup and view all the answers

What happens to a material if the applied stress exceeds the necessary threshold?

<p>If the applied stress exceeds a certain value, the material fails to restore its elastic nature and remains permanently deformed.</p> Signup and view all the answers

What is the primary characteristic of materials exhibiting plasticity?

<p>Materials exhibiting plasticity maintain a deformed condition even after the removal of the deforming force.</p> Signup and view all the answers

Define Young’s Modulus of Elasticity in relation to stress and strain.

<p>Young's Modulus of Elasticity is the ratio of tensile stress to tensile strain, calculated as $Y = \frac{F/A}{\Delta L/L}$.</p> Signup and view all the answers

How is stress mathematically expressed in terms of deforming force and area?

<p>Stress is expressed as $Stress = \frac{deforming \ force}{Area}$, or $S = \frac{F}{A}$.</p> Signup and view all the answers

What does tensile strain quantify and how is it calculated?

<p>Tensile strain quantifies the ratio of change in length to the original length, calculated as $Tensile \ strain = \frac{\Delta L}{L}$.</p> Signup and view all the answers

Differentiate between Young's Modulus and Bulk Modulus of elasticity.

<p>Young's Modulus relates to longitudinal stress and strain while Bulk Modulus is the ratio of volume stress to volume strain.</p> Signup and view all the answers

Study Notes

Engineering Physics Study Notes

  • Stress-Strain Curve: Explains stress hardening and softening. Discusses elastic moduli, Poisson's ratio, and the relationships between various elastic constants (Y, σ, K). Covers beams, bending moments, and engineering applications of elastic materials. Explains ductile and brittle fracture, stress concentration, and fatigue. Includes numerical problems.

Elasticity

  • Deforming Force: A force that changes the shape or size of an object without displacing it.

  • Elasticity: The property of a material to regain its original shape and size after the removal of a deforming force. Examples include spider webs, steel, and graphene.

  • Plasticity: The property of a material to maintain a deformed shape even after the deforming force is removed. Examples include wet clay.

  • Stress: Deforming force applied per unit area of an object (also called pressure).

  • Strain: The ratio of change in dimension of a body due to stress to its original dimension.

Elastic Constants

  • Young's Modulus (Y): The ratio of tensile stress to tensile strain.

  • Bulk Modulus (B): The ratio of volume stress to volume strain.

  • Rigidity Modulus (η): The ratio of tangential stress to shearing strain.

Important Concepts

  • Elastic Limit: The maximum stress a material can withstand without losing its elastic properties.

  • Hooke's Law: Within the elastic limit, stress is directly proportional to strain.

Distinction Between Moduli

  • Young's Modulus: Ratio of tensile stress to tensile strain.

  • Bulk Modulus: Ratio of volume stress to volume strain.

  • Rigidity Modulus: Ratio of shear stress to shear strain.

Factor of Safety

  • Breaking Stress / Working Stress: Ratio of breaking stress to working stress. Tools should be used within the elastic limit to avoid permanent deformation.

  • Poisson's Ratio: The ratio of lateral strain to longitudinal strain (unitless constant).

  • Stress-Strain Graph: Plotting stress against strain to illustrate material behavior. Includes points like elastic limit, yield point, ultimate strength, and rupture strength.

Strain Hardening and Softening

  • Strain Hardening: Beyond the yield point, a material becomes stronger as more stress is required for additional plastic deformation.

  • Strain Softening: The material's strength decreases with increasing strain. Typically observed in damaged, brittle materials.

Material Failures

  • Brittle Fracture: Sudden and rapid failure with little or no plastic deformation (e.g., breaking of glass).

  • Ductile Fracture: Failure exhibiting substantial plastic deformation before fracture.

Fatigue

  • Fatigue Strength: The ability of a material to resist stress cycles without failure.

  • Fatigue Life: The number of loading cycles a component withstands before failure.

  • Stress Concentration: Notch, sharp curves increasing stress and leading to premature fatigue failure.

  • Residual Stress: Internal stresses due to uneven heating and cooling leading to early fatigue failure.

Effect of Different Factors on Fatigue

  • Chemical Composition: Elements like carbon affect fatigue strength.

  • Surface Finish: Uneven surface machining causing notches and stress concentrations, decreasing fatigue.

  • Load Experience: Overload and sub-load affect fatigue limit.

  • Heat Treatment: Different heat treatments result in varying microstructures, affecting fatigue strength.

  • Size/Shape: Homogeneity, defects, and size impact the failure resistance.

Numerical Problems

  • Numerous example problems on concepts like calculating extension to a wire when subjected to a load, bulk modulus, etc. involving calculations using known formulas and data.

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Elasticity Mech 24-25 Final PDF

Description

Explore the concepts of stress and strain through this quiz focused on the stress-strain curve, elasticity, and plasticity. It covers key topics such as elastic moduli, deformation, and the properties of materials under various forces. Perfect for students studying engineering physics.

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