Calculate the stress in the material of a pipe

What is the formula to calculate the stress in the material of a pipe subject to internal pressure? The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. The formula to calculate the stress is stress = K * [pressure * diameter / thickness], where K is a constant.

When calculating the stress in the material of a pipe, we need to consider the internal pressure, the internal diameter of the pipe, and the thickness of the pipe. The stress is directly proportional to the product of the internal pressure and the internal diameter, and inversely proportional to the thickness of the pipe.

In the given data, the stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. To find the stress when the internal pressure is 15 pounds per square inch, with a diameter of 5 inches and a thickness of 0.35 inch, we can use the formula mentioned earlier.

First, we need to determine the value of the constant K. By substituting the given values into the formula, we can calculate K as follows:

Calculation:

100 = K * [25 * 5 / 0.75]

K = 0.6

Now that we have found the value of K, we can plug in the remaining values to calculate the stress when the internal pressure is 15 pounds per square inch, the diameter is 5 inches, and the thickness is 0.35 inch:

Calculation:

stress = 0.6 * [15 * 5 / 0.35]

stress = 128.57 pounds per square inch

Therefore, the stress in the material of the pipe is 128.57 pounds per square inch when the internal pressure is 15 pounds per square inch.

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