Mechanical Theory

The total force due to weight is:

The total cross-sectional area is:

The pressure is:

Stress is given by:

The cross-sectional area is:

The stress is:

Stress is given by:

Here, , , where :


Step 2: Calculate Strain
Strain is given by:

Here, , :

Step 3: Calculate Young's Modulus
Young's modulus is given by:

Step 1: Calculate the Force
Force is given by:

Here, :

{Step 2: Calculate the Cross-Sectional Area}
Radius of the wire, :

{Step 3: Calculate the Tensile Stress}
Tensile stress is given by:

Step 1: Calculate Percentage Elongation}
Elongation is given by:

Given: Original length = 2.000 in, Final length = 2.195 in:

{Step 2: Calculate Reduction in Area}
Reduction in area is given by:

Original diameter = 0.500 in, Final diameter = 0.398 in:

Engineering stress is given by:

Here, , :

Here, lb and in :