Question

Consider the maximum stress when a solid with a circular hole in the center is loaded with an average remote stress of σ₀ = 100 MPa. Recall that the stress concentration factor is Kt σmах/σ₀ = 1+2√a/rhot; where a is the half length of the elliptical crack, and pt is radius of curvature of the crack tip.

O 100 MPa
O 200 MPa
O 300 MPa
O 400 MPa

Answer 1

The question involves the calculation of the maximum stress in a material with a circular hole, using the stress concentration factor and given average remote stress. Exact maximum stress cannot be calculated without specific crack dimensions.

Step-by-step explanation:

The student is asking about the maximum stress that a material with a circular hole can sustain when subjected to a uniform external stress (σ₀). The stress concentration factor (Kt) is involved in calculating this maximum stress (σmax) and is defined by the relationship Kt = σmax/σ₀ = 1+2√(a/ρt), where a is the half-length of the elliptical crack, and ρt is the radius of curvature at the crack tip. The provided data mentions an average external stress σ₀ = 100 MPa but does not provide specific values for a and ρt. Therefore, without the values of a and ρt, the exact maximum stress cannot be calculated, and one can only consider that if the stress concentration factor Kt is known, σmax can be found by multiplying Kt by σ₀.