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Explain Shear Modulus. |
Answer» <html><body><p></p>Solution :The ratio of shearing tres to be coresponding shearing strain is called the <a href="https://interviewquestions.tuteehub.com/tag/shear-1205062" style="font-weight:bold;" target="_blank" title="Click to know more about SHEAR">SHEAR</a> modulus of the material and is represented by G. It is also called the modulus of rigidity. <br/> `G = ("Shering stress"(sigma _(s)))/("Shearing strain"(theta))` <br/> `(F//A)/(Delta L) = (<a href="https://interviewquestions.tuteehub.com/tag/fl-462549" style="font-weight:bold;" target="_blank" title="Click to know more about FL">FL</a>)/(ADeltax)` <br/> But for shear strain `(Delta <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>)/(L) = tan theta =theta` <br/> `G = ((F //A))/(theta) = (F)/(A theta)` <br/> The shearing stress `sigma _(s)` can also be expressed as <br/> `sigma _(s) = G xx theta` <br/> SI unit of shear modulus is `Nm^(-2) or Pa` <br/> The shear moduli (G) of a few common materials : <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPK_AIO_PHY_XI_P2_C09_E01_015_S01.png" width="80%"/> <br/> The shear moduli of a few common materials are given in table. It can be <a href="https://interviewquestions.tuteehub.com/tag/seen-3017120" style="font-weight:bold;" target="_blank" title="Click to know more about SEEN">SEEN</a> that shear modulus (or modulus of rigidity) is generally less than Young.s modulus. <br/> For most materials `G ~~ (Y)/(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>).`</body></html> | |