Question

The linear strain of a diagonal is equal to half the sum shearing strain components.

(a) True

(b) False

This question was addressed to me by my school teacher while I was bunking the class.

My doubt is from Strain Components and Compatibility Equations topic in chapter Elements of Elasticity of Geotechnical Engineering I

Answer 1

Right choice is (a) True

For explanation: The linear strain of a diagonal is equal to half the sum shearing strain components. Thus if εyx, εxz and εzy represent the linear strains of the diagonal of a plane lamina,

∴ εyx=1/2Γyx

εxz=1/2Γxz

εzy=1/2Γzy.