Answer: 2,857,142.5lb/in²
Explanation:
The modulus of elasticity is defined as the ratio of tensile stress to tensile strain of a material.
Mathematically,
Modulus of elasticity = Tensile stress/tensile strain
Tensile stress is the ratio of the force acting on a body to its unit cross sectional area.
Stress = Force(F)/Area(A)
Given force = 8000lb
Area = 0.7in²
Stress = 8000/0.7
Stress = 11,428.57lb/in²
Tensile strain is the ratio of the extension of a material to its original length.
Strain = extension (e)/original length (Lo)
Given extension = 0.002in
Original length of the bar = 5in
Strain = 0.002in/5in
Strain = 0.004(it has no unit)
Therefore the modulus of elasticity = 11428.57/0.004
= 2,857,142.5lb/in²
