Answer:
resolved shear stress = 22.0 MPa
so we can say that here single crystal will yield because critical resolved shear stress i.e 20.7 MPa is less than resolved shear stress i.e 22.0 MPa
Explanation:
given data
angles φ = 43.1 degrees
angles λ = 47.9 degrees
shear stress = 20.7 MPa (3000 psi)
stress σ = 45 MPa (6500 psi)
solution
we have given shear stress so first we calculate here resolved shear stress that is express as
resolved shear stress = σ cosφ cosλ .................1
here σ is stress and φ and λ are angles given
so put here value we get
resolved shear stress = σ cosφ cosλ
resolved shear stress = 45 cos(43.1) cos(47.9)
resolved shear stress = 22.0 MPa
so we can say that here single crystal will yield because critical resolved shear stress i.e 20.7 MPa is less than resolved shear stress i.e 22.0 MPa