A machine element is subjected to the following bi-axial

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A machine element is subjected to the following bi-axial state of stress; σ_x = 80 MPa; σ_y = 20 MPa; τ_x = 40 MPa. If the shear strength of the material is 100 MPa, the factor of safety as per Tresca's maximum shear stress theory is

1. 1.0
2. 2.0
3. 2.5
4. 3.3

Correct Option: B

= 50 + √50² = 100
σ₂ = 0

τ =	σ₁ - σ₂	= 50
	7

FOS =	100	= 2
	50