[{"data":1,"prerenderedAt":32},["ShallowReactive",2],{"formula-en-uniaxial-hooke-law":3},{"formula":4,"related_topics":12,"alternates":29},{"id":5,"code":6,"slug":6,"title":7,"formula":8,"locale":9,"seo_title":10,"seo_description":10,"content_html":11},68,"uniaxial-hooke-law","Hooke's Law in Uniaxial Tension or Compression","σ = Eε","en",null,"\u003Cdiv class=\"formula-chunk\">\u003Cp>Within the linear-elastic range, normal stress is proportional to axial strain:\u003C\u002Fp>\u003Cp>$$\\sigma=E\\varepsilon.$$\u003C\u002Fp>\u003Cul>\u003Cli>\u003Cstrong>$\\sigma$\u003C\u002Fstrong> — normal stress, Pa or MPa;\u003C\u002Fli>\u003Cli>\u003Cstrong>$E$\u003C\u002Fstrong> — Young's modulus, Pa or MPa;\u003C\u002Fli>\u003Cli>\u003Cstrong>$\\varepsilon$\u003C\u002Fstrong> — axial strain, dimensionless.\u003C\u002Fli>\u003C\u002Ful>\u003Cp>The law applies to the linear portion of the stress–strain curve while $\\sigma$ and $\\varepsilon$ remain proportional.\u003C\u002Fp>\u003Cdiv data-formula-calculator-config=\"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\">\u003C\u002Fdiv>\u003C\u002Fdiv>",[13,17,21,25],{"id":14,"name":15,"path":16},46,"Tension and Compression","strength-of-materials\u002Ftension-and-compression",{"id":18,"name":19,"path":20},48,"Mechanical Properties of Materials","strength-of-materials\u002Ftension-and-compression\u002Fmechanical-properties-of-materials",{"id":22,"name":23,"path":24},110,"Tensile Test Diagram and Characteristic Points","strength-of-materials\u002Ftension-and-compression\u002Fmechanical-properties-of-materials\u002Ftensile-test-diagram-characteristic-points",{"id":26,"name":27,"path":28},111,"Elastic Properties of Materials","strength-of-materials\u002Ftension-and-compression\u002Fmechanical-properties-of-materials\u002Felastic-properties-of-materials",{"en":30,"uk":31},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Fformulas\u002Funiaxial-hooke-law","https:\u002F\u002Fmechclassroom.com\u002Fformulas\u002Funiaxial-hooke-law",1787712543151]