An aluminum bar 125 mm(5.0 in.) long and having a square cross section 16.5 mm(0.65 in. ) on an

step 1 Calculating the area of the square bar, which is equal to B square, which is equal to 16 .5 squa

An aluminum bar 125 mm(5.0 in.) long and having a square...

An aluminum bar $125 \mathrm{mm}(5.0$ in.) long and having a square cross section $16.5 \mathrm{mm}(0.65 \text { in. })$ on an edge is pulled in tension with a load of $66,700 \mathrm{N}\left(15,000 \mathrm{lb}_{\mathrm{f}}\right),$ and experiences an elongation of $0.43 \mathrm{mm}\left(1.7 \times 10^{-2} \text {in. }\right) .$ Assuming that the deformation is entirely elastic, calculate the modulus of elasticity of the aluminum.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Elastic Deformation

Elastic deformation refers to the reversible change in shape of a material when a load is applied. In the elastic regime, once the load is removed, the material returns to its original dimensions, and the relationship between stress and strain is typically linear, as described by Hooke’s law.

Young's Modulus

Young’s modulus, also known as the modulus of elasticity, quantifies a material's stiffness. It is defined as the ratio of tensile stress to tensile strain within the elastic limit. A higher Young’s modulus indicates a stiffer material that deforms less under the same applied load.

Stress

Stress is a measure of the internal forces within a material. It is defined as the force applied over a unit area. In the context of tensile tests, stress helps determine how the material responds to the applied load, particularly by relating the applied force to the material’s cross?sectional area.

Strain

Strain is a measure of deformation representing the displacement between particles in the material relative to a reference length. It is a dimensionless quantity which quantifies how much a material elongates or compresses when subjected to forces.

Transcript

Please give Ace some feedback