For 10 points, identify this modulus defined as stress over strain, often symbolized Y.
When expressing certain other quantities using this quantity and lambda, the first Lamé parameter, the formula square root of quantity nine lambda squared plus two lambda this quantity plus this quantity squared appears. This quantity is multiplied by the area moment of inertia in the differential equation that defines Euler-Bernoulli beam theory. The relationship for this quantity is no longer valid past the proportionality limit. This quantity is equal to the slope of a line on a sigma-epsilon curve. This quantity can be calculated as quantity one plus Poisson's ratio, end quantity times twice the shear modulus, or as force over area divided by the change in length over initial length. This quantity measures the stiffness of a material. For 10 points, identify this modulus defined as stress over strain, often symbolized Y.
When expressing certain other quantities using this quantity and lambda, the first Lamé parameter, the formula square root of quantity nine lambda squared plus two lambda this quantity plus this quantity squared appears.
Young\'s Modulus [or tensile modulus; or elastic modulus; or modulus of elasticity; or E; or Y until it is read; do not accept \"shear modulus\" or \"bulk modulus\"]