Determining the Lightest Steel Beam for Simple Beam Load Calculation

Which is the lightest steel beam for Case 28 and Case 29?

28) Lightest W= A. W18x50 B. W14x53 C. W10x88 D. W16x87

29) Lightest W, (d of 12 inches or less)= A. W12x53 B. W12x79 C. W10x88 D. W12x96

Answer:

For Case 28, the lightest steel beam is Option A: W18x50, weighing 50 pounds per foot. For Case 29, with a depth restriction of 12 inches or less, the lightest steel beam is Option A: W12x53, weighing 53 pounds per foot.

Explanation:

To determine the lightest steel beam for the given loads, we need to refer to a Safe Load Table. Let's analyze both cases:

Case 28:

Without any restrictions on the depth (d), we can consider all available steel beam sizes. The lightest beam can be determined by comparing their weights. From the options provided, we need to find the beam with the lightest weight.

Comparing the options:

Option A: W18x50 - weight: 50 pounds per foot

Option B: W14x53 - weight: 53 pounds per foot

Option C: W10x88 - weight: 88 pounds per foot

Option D: W16x87 - weight: 87 pounds per foot

Based on the weights, the lightest beam for Case 28 is Option A: W18x50, with a weight of 50 pounds per foot.

Case 29:

With a depth (d) restriction of 12 inches or less, we need to consider only the beam sizes that meet this requirement. Let's compare the options:

Option A: W12x53 - weight: 53 pounds per foot

Option B: W12x79 - weight: 79 pounds per foot

Option C: W10x88 - weight: 88 pounds per foot

Option D: W12x96 - weight: 96 pounds per foot

Based on the weights and the depth restriction, the lightest beam for Case 29 is Option A: W12x53, with a weight of 53 pounds per foot.