Question

A Specimen made from a brittle matonal with a cross-section area tonsion until it yielded of 0.004 m² was gradually loaded in at a Lord of 380 KN and fractured Slightly after the yield point. If the Specimon's material observed elashert clashc deformation until fracture, determine the material's toughness in terms of energy absorbed, in kj. Tako £ = 200 GPa.​

Answer 1

Step-by-step explanation:

To determine the material's toughness in terms of energy absorbed, we need to calculate the area under the stress-strain curve up to the point of fracture. The energy absorbed is equal to the area under the curve.

Given:

Cross-sectional area (A) = 0.004 m²

Load (F) = 380 kN = 380,000 N

Young's modulus (E) = 200 GPa = 200,000 MPa = 200,000,000 N/m²

First, we need to calculate the stress (σ) using the formula:

σ = F / A

σ = 380,000 N / 0.004 m²

σ = 95,000,000 N/m² = 95 MPa

Next, we need to determine the strain (ε) using Hooke's law:

ε = σ / E

ε = 95,000,000 N/m² / 200,000,000 N/m²

ε = 0.475

Now, we can calculate the energy absorbed (U) using the formula:

U = 0.5 * σ * ε * A

U = 0.5 * 95,000,000 N/m² * 0.475 * 0.004 m²

U = 90,250 J = 90.25 kJ

Therefore, the material's toughness in terms of energy absorbed is 90.25 kJ.