Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 53 views

    Strain: It Is The Deformation of A Structural Member Per Unit Length

    Uploaded by

    Syed Hasnain Bakht
    The document defines key terms related to stress and strain in materials. It explains that strain is the deformation per unit length caused by an applied stress. For many materials like steel, stress is directly proportional to strain, following Hooke's law. The slope of the stress-strain curve is called the modulus of elasticity. The elastic limit is the maximum stress at which a material recovers its original shape after the stress is removed. The modulus of resilience and modulus of toughness relate to the energy absorbed by a material within and beyond the elastic limit, respectively.

    Copyright:

    © All Rights Reserved
    Download as PPT, PDF, TXT or read online from Scribd

    Strain: It Is The Deformation of A Structural Member Per Unit Length

    Uploaded by

    Syed Hasnain Bakht
    53 views25 pages
    The document defines key terms related to stress and strain in materials. It explains that strain is the deformation per unit length caused by an applied stress. For many materials like steel, stress is directly proportional to strain, following Hooke's law. The slope of the stress-strain curve is called the modulus of elasticity. The elastic limit is the maximum stress at which a material recovers its original shape after the stress is removed. The modulus of resilience and modulus of toughness relate to the energy absorbed by a material within and beyond the elastic limit, respectively.

    Original Description:

    mechanics of material

    Original Title

    strain

    Copyright

    © © All Rights Reserved

    Available Formats

    PPT, PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    The document defines key terms related to stress and strain in materials. It explains that strain is the deformation per unit length caused by an applied stress. For many materials like steel, stress is directly proportional to strain, following Hooke's law. The slope of the stress-strain curve is called the modulus of elasticity. The elastic limit is the maximum stress at which a material recovers its original shape after the stress is removed. The modulus of resilience and modulus of toughness relate to the energy absorbed by a material within and beyond the elastic limit, respectively.

    Copyright:

    © All Rights Reserved
    Download as PPT, PDF, TXT or read online from Scribd
    Download as ppt, pdf, or txt
    53 views25 pages

    Strain: It Is The Deformation of A Structural Member Per Unit Length

    Uploaded by

    Syed Hasnain Bakht
    The document defines key terms related to stress and strain in materials. It explains that strain is the deformation per unit length caused by an applied stress. For many materials like steel, stress is directly proportional to strain, following Hooke's law. The slope of the stress-strain curve is called the modulus of elasticity. The elastic limit is the maximum stress at which a material recovers its original shape after the stress is removed. The modulus of resilience and modulus of toughness relate to the energy absorbed by a material within and beyond the elastic limit, respectively.

    Copyright:

    © All Rights Reserved
    Download as PPT, PDF, TXT or read online from Scribd
    Download as ppt, pdf, or txt
    of 25

    Strain

    Definition: It is the deformation


    of a structural member per
    Unit length
    Strain
    Deformation: It is the change in the geomatry of
    the material when stress is applied
    Stress strain relationship
    Elasticity: it is the property of a material to
    return to its previous shape after the stress is
    removed
    Linear Elastic:
    • For many materials like steel the stress is
    directly proportional to the strain.
    • There exist a straight line relationship between
    stress and strain
    Stress strain relationship
    Linear Elastic:
    Stress strain relationship
    Modulus of elasticity or Youngs Modulus
    Definition: Slope of the stress strain curve is
    called Modulus of elasticity

    Elastic limit: The stress limit with in which


    material recover its deformation when stress is
    removed
    Stress strain relationship
    Modulus of resilience:
    It is the energy absorbed
    by a material with elastic
    limit
    Stress strain relationship
    Modulus of toughness:
    It is the energy absorbed
    by a material till complete failure.
    Stress strain relationship
    Stress strain relationship

    Ref: Mechanics of materials 8th edition RC Hibbler


    Stress strain relationship

    Ref: Mechanics of materials 8th edition RC Hibbler


    Stress strain relationship
    Stress strain relationship

    Ref: Mechanics of materials 8th edition RC Hibbler


    Stress strain relationship

    Ref: Mechanics of materials 8th edition RC Hibbler


    Stress strain relationship
    Hooks Law: Deformation of a material is
    directly proportional to the applied load.

    Hookean Material: Many material follow the


    hooks law till the their material remains with in
    elastic limit Such materials are called linearly
    elastic or Hookean Material
    Shear Stress
    Definition: It is a stress produced by a force
    which is acting parallel to the area.
    Shear stress
    General shear stress
    The formula to calculate average shear
    stress is

    where
    T= shear stress; F= the force applied;
    A= The cross-sectional area of material with area parallel to
    the applied force vector.
    Shear stress
    Pure shear
    It is stress that is related to pure shear strain.
    Following equation

    v=Shear strain
    G= shear modulus of the material
    Here is Young's modulus and is Poisson's ratio.
    Stress strain relationship
    Modulus of rigidity:
    Definition: it is the ratio of shear stress to
    shear strain.
    Shear strain
    Stress strain relationship
    Mathematical relation ship:
    Stress strain relationship
    Poisson Ratio:
    It is ratio between lateral strain/stress to
    longitudinal strain/stress
    Stress strain relationship
    When a sample object is
     Stretched or subjected to extension
     Squeezed or subjected to contraction
    in the direction of the applied load,
    it corresponds a
     Contraction or
     Extension
    in a direction perpendicular to the applied load.
    The ratio between these two quantities is the
    Poisson's ratio.
    Stress strain relationship
    Stress strain relationship

    Ref: Mechanics of materials 8th edition RC Hibbler


    Stress strain relationship

    You might also like