ESE 90 DAYS_Theories of Failures

The principle stress at a point in an elastic material are σ (Compressive),

2σ (tensile), σ(tensile). The elastic limit in tension is 200 MPa and μ = 0.3. Value of σ at faiture when computed by maximum strain energy theory.

A point in a solid shaft under action of bending moment and twisting moment develops principal stresses as σ₁ = 80 N/mm² (tensile) and σ₂ = 30 N/mm² (compressive). Shaft material is ductile with yield strength of 210 MPa, Poisson’s ratio μ = 0.25. Determine the factor of safety according to maximum principal strain theory.

Which of the following statements is NOT correct regarding theories of failure?

Match List 1 with List 2 and select the answers using the code given below

List 1

(i) Maximum principle stress theory

(ii) Maximum principle strain theory

(iii) Maximum strain energy theory

(iv) Maximum shear stress theory

List 2

(a) St. Venant Theory

(b) Tresca Theory

(c) Rankine Theory

(d) Haigh theory

The hollow cylindrical shaft having outside and inside diameters as 6 and 4 as shown. Find the shearing stress at point X which is inside the hollow shaft surfaces. Assume T=48,500 in-lb.