Strength of Materials

An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the figure given below. The strain energy density is ___...

A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force P = 100 kN and a torque T = 600 N. m at the other end as shown. Assume that the axis of the cylinde...

Ignoring the small elastic region, the true stress (σ) – true strain (ε) variation of a material beyond yielding follows the equation σ = 400ε^0.3 MPa. The engineering ultimate tensile strength value of this material is...

The von Mises stress at a point in a body subjected to forces is proportional to the square root of the

A cantilever beam with a uniform flexural rigidity (EI = 200 x 10⁶ N.m²) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is 10000 N...

Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Youn...

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of $\theta = 30^{\circ}$ as shown in the figure. The glue used at the interface fails if Criterion 1: the maximum normal stress e...