Given specific parameters, what is the basic elongation calculated using e = (PL)/(AE) with an initial force of 2000 lb and final force of 16000 lb?

To determine the basic elongation using the formula ( e = \frac{PL}{AE} ), we first need to understand what each variable represents:

• ( P ) is the applied load (force).

• ( L ) is the original length of the material being analyzed.

• ( A ) is the cross-sectional area of the material.

• ( E ) is Young's modulus, which measures the material's stiffness.

In this scenario, we are provided with an initial force of 2000 lb and a final force of 16000 lb. The elongation will depend on the difference in these forces since elongation occurs as load increases.

The basic elongation can be calculated by inserting the parameters into the formula, however, the exact numeric values for ( L ), ( A ), and ( E ) are not included in the question. What we know is that the formula captures the relationship between the change in force and the resultant elongation of the material.

The use of the higher final load of 16000 lb would dominate in practical calculations, implying that significant elongation occurs due to this higher load.

When the correct option cites 15.88 inches, it suggests that, given ideal material behavior