GATE Production & Industrial

The inside and outside radii of a thick- walled cylindrical pressure vessel are denoted by $$a$$ and $$b,$$ respectively. If the vessel is subjected to an internal pressure $$P,$$...

If $$E$$ is the modulus of elasticity in $$GPa$$, $$G$$ is the shear modulus in $$GPa$$ and $$v$$ is the Poisson's ratio of a linear elastic and isotropic material, the three terms...

For a two dimensional state-of-stress defined as $${\sigma _{xx}} = {\sigma _{yy}} = {\tau _{xy}} = S,$$ the Mohr's circle of stress has

A thin-walled cylindrical pressure vessel of internal diameter 2 m is designed to withstand an internal pressure of 500 kPa (gauge). If the allowable normal stress at any point wit...

Consider the following statements: (P) Hardness is the resistance of a material to indentation. (Q) Elastic modulus is a measure of ductility. (R) Deflection depends on stiffness....

A metallic bar of uniform cross-section with specific weight of $$100$$ kN/m 3 is hung vertically down. The length and Young's modulus of the bar are $$100$$ m and $$200$$ GPa, res...

If the principal stress values are $$120$$ MPa, $$-50$$ MPa and $$10$$ MPa in a given state of stress, then maximum shear stress in the material, in MPa, is _______.