# The Joy of Solving Engineering Problems

## How can we calculate the length of a steel cable during lifting?

A steel cable 1.25 inches in diameter and 50 ft long is to lift a 40,000 lb weight. What is the length of the cable during lifting?

## Calculation of Cable Length during Lifting

To calculate the length of the steel cable during lifting, we can use the formula involving the modulus of elasticity, cable diameter, cable length, and the weight being lifted. The length of the cable can be determined by considering the force applied and the change in length of the cable.

When solving engineering problems like determining the length of a steel cable during lifting, it's important to consider various factors such as the material properties of the cable and the weight being lifted. In this particular scenario, the cable's diameter, length, and the modulus of elasticity of the steel are crucial in making accurate calculations.

The formula used to calculate the length of the cable during lifting involves the modulus of elasticity of the steel, the cable's diameter, the cable's original length, and the weight being lifted. By utilizing these parameters, engineers can accurately determine how much the cable will stretch or elongate when subjected to the lifting force.

In this specific case, where we have a steel cable with a diameter of 1.25 inches and a length of 50 ft lifting a 40,000 lb weight, the length of the cable during lifting is calculated to be 50.054 ft. This calculation involves considerations of the material properties of the steel cable and the forces acting upon it.

By understanding the principles of modulus of elasticity and the relationship between force, area, and change in length, engineers and scientists can accurately predict and solve complex engineering problems like determining the length of a cable during lifting. The joy of solving such intricate problems lies in the meticulous calculations and application of scientific principles to arrive at precise and meaningful results.