High School

A trapeze member needs to support a 4-inch Schedule 40 pipe at a distance from one of the supports, instead of being at the center of the span. If the span is 15 feet, what is the smallest size Schedule 40 pipe that could serve as a trapeze member?

A. 2 inches
B. 3 inches
C. 3.5 inches

Answer :

The 2-inch Sch 40 pipe is the best choice. It minimizes deflection and supports the load effectively in the 11-foot span trapeze member.



To minimize deflection in the trapeze member, we need to find the smallest Sch 40 pipe that can support the load. The span is 15 feet, but the pipe is suspended at 4 feet from one support, leaving an 11-foot clear span. Using the eccentric load deflection formula, we can calculate the deflection for various pipe sizes. The 2-inch Sch 40 pipe is the smallest, with a deflection of approximately 13.74 inches. The other options result in larger deflections.

Therefore, the 2-inch Sch 40 pipe is the correct answer. Its compact size and sufficient strength make it suitable for the trapeze member application, effectively supporting the load and minimizing deflection.

To learn more about deflection click here

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