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The maximum load a beam can safely support varies directly as its width. A contractor suggests replacing an 8''-wide beam that can hold 6000 pounds with two 4''-wide beams made of the same material as the 8'' beam, one next to the other. Can the two 4'' beams replace a single 8'' beam safely? Justify your answer.

Answer :

Final answer:

When replacing a beam, understanding the load-bearing capacity is crucial in ensuring safety.

Explanation:

The two 4'' beams cannot replace a single 8'' beam safely when considering the load-bearing capacity. Since the maximum load a beam can support varies directly as its width, the total width of the two 4'' beams (8'') is the same as the original 8'' beam. However, the two smaller beams have an additional joint between them, making them weaker than a single continuous beam.

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