The strength of a rectangular beam varies jointly with its width and the square of its thickness. If a beam 4 inches wide and 2
inches thick supports 480 pounds, how much can a beam of the same material that is 3 inches wide and 1 inch thick support?
1 answer:
Answer:
∴ S = 90 lbs
Explanation:
S = kwt²
480 lbs = k(4 in) (2 in)²
= k (4 in) ( 4 in²)
= k × 16 in³
∴ K =( 480 ÷ 16 ) lb/in³
K = 30 lb/in³
When w = 3 inches and t = 1 inches:
S = (30 lb/in³) × (3 inches) × (1 in)²
= (30 × 3 ×1 ) lb
= 90 lb
∴ S = 90 lbs
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