Strength of Mat...

For an element under the effect of bi-axial state of normal stress, the normal stresses on a 45° plane is equal to

Match List I (Failure Theory) with List II (case in which they are applicable) and select the correct answer using the codes given below.

The value of the principal stress at a point in a plane stressed element is σ_x = σ_y = 500 MPa calculate the value of normal stress acting (MPa) at the angle of 45° at X axis.

In a plane strain problem in the x-y plane, the Shear strain = 12 × 10^-6, Normal strain in the x-direction = 4 × 10^-6, and Normal strain in the y-direction is zero. The diameter of the Mohr’s circle of strain is

In a 2-D stress system, the value of direct stress on two mutually perpendicular planes are 120 MN/m² and σ MN/m². These planes also carry a shear stress of 40 MN/m². If the factor of safety on elastic limit is 3, then value of σ (in MPa), when shear strain energy is minimum 

At a point in a strained material ; the principal stresses are p₁, p_2, and 0 (p₁ being the major and p₂ being the minor principal stress). What combination of principal stresses will give the same factor of safety (FOS) by yielding according to the maximum shear stress theory & the distortion energy theory of failure? Assume the principal stresses are tensile in nature.