Question

uz​=2Eγ​[z2+ν(x2+y2)−L2]. From these results, we make some observations not discernable from the strengthof-materials solution, a uniform axial extension along the z-axis corresponding to uz​ (0,0,z) in (6.19c) : CEE/EGM/MEE 533 Theory of Elasticity Homework

Answer 1

The equation uz​=2Eγ​[z2+ν(x2+y2)−L2] represents a uniform axial extension along the z-axis in the theory of elasticity.

Step-by-step explanation:

The given equation is uz​=2Eγ​[z2+ν(x2+y2)−L2], which represents a uniform axial extension along the z-axis. This equation is derived from the theory of elasticity, which defines the relationship between strain and stress in a material. In this equation, uz represents the displacement along the z-axis, E represents the Young's modulus, γ represents the shear modulus, (x, y, z) are the coordinates, and ν represents the Poisson ratio.