[{"data":1,"prerenderedAt":24},["ShallowReactive",2],{"formula-en-shear-hooke-law":3},{"formula":4,"related_topics":12,"alternates":21},{"id":5,"code":6,"slug":6,"title":7,"formula":8,"locale":9,"seo_title":10,"seo_description":10,"content_html":11},80,"shear-hooke-law","Hooke's Law in Shear","τ = Gγ","en",null,"\u003Cdiv class=\"formula-chunk\">\u003Cp>Within the linear-elastic range, shear stress is proportional to shear strain:\u003C\u002Fp>\u003Cp>$$\\tau=G\\gamma.$$\u003C\u002Fp>\u003Cul>\u003Cli>\u003Cstrong>$\\tau$\u003C\u002Fstrong> — shear stress, Pa or MPa;\u003C\u002Fli>\u003Cli>\u003Cstrong>$G$\u003C\u002Fstrong> — shear modulus, Pa or MPa;\u003C\u002Fli>\u003Cli>\u003Cstrong>$\\gamma$\u003C\u002Fstrong> — engineering shear strain, rad (dimensionless).\u003C\u002Fli>\u003C\u002Ful>\u003Cp>For a linearly elastic isotropic material, $G=E\u002F[2(1+\\nu)]$.\u003C\u002Fp>\u003Cdiv data-formula-calculator-config=\"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\">\u003C\u002Fdiv>\u003C\u002Fdiv>",[13,17],{"id":14,"name":15,"path":16},54,"Shear and Torsion","strength-of-materials\u002Fshear-and-torsion",{"id":18,"name":19,"path":20},55,"Pure Shear and Design of Joints (Riveted and Welded)","strength-of-materials\u002Fshear-and-torsion\u002Fpure-shear-and-joints",{"en":22,"uk":23},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Fformulas\u002Fshear-hooke-law","https:\u002F\u002Fmechclassroom.com\u002Fformulas\u002Fshear-hooke-law",1787712543216]