elasticity

Linearly elastic, homogeneous, uniform bars BCD and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial rigidity is 20000 kN. A gap of 2 m...

When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section) is loaded with a uniformly di...

A 2D thin plate with modulus of elasticity, E = 1.0 N/m², and Poisson's ratio, μ = 0.5, is in plane stress condition. The displacement field in the plate is given by u = Cx²y and v...

For a linear elastic and isotropic material, the correct relationship among Young's modulus of elasticity (E), Poisson's ratio ($\nu$), and shear modulus (G) is

A square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration...

For a linear elastic structural system, minimization of potential energy yields