High School

Design an A36 steel beam with a 30-foot span, carrying a uniformly distributed load of 1 k/foot. Use a wide flange steel beam and limit the deflection to 1/360 of the span.

Answer :

Final answer:

To design an A36 steel beam with a 30' span and a 1k/foot load, follow these steps: calculate the total load, determine the maximum allowable deflection, and select an appropriate beam.

Explanation:

To design an A36 steel beam, we need to consider the span and the load it will carry. Given a 30' span and a uniformly distributed load of 1k/foot, we need to determine the appropriate wide flange steel beam and limit the deflection to 1/360 of the span.

  1. First, we calculate the total load on the beam by multiplying the load per foot (1k/foot) by the span (30'). This gives us a total load of 30k.
  2. Next, we need to determine the maximum allowable deflection. Since the deflection limit is 1/360 of the span, we divide the span (30') by 360 to get the maximum deflection of approximately 0.083 feet.
  3. Using the maximum allowable deflection and the total load, we can select a wide flange steel beam that meets these criteria. The selection process involves checking various beam tables and cross-referencing the load and deflection requirements with available beam options.

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