What is the sling stress formula?

What is the sling stress formula?

• A. Sling Length ÷ Vertical Height = Load Factor × Weight ÷ Number of Legs
• B. Weight ÷ Number of Legs = Sling Length ÷ Vertical Height × Load Factor
• C. Sling Length × Vertical Height = Load Factor × Weight × Number of Legs
• D. Load Factor = Sling Length ÷ (Vertical Height × Weight ÷ Number of Legs)

Answer: (A)

When a load is lifted with a sling at an angle, the tension in each sling leg grows with how slanted the legs are. The geometry connects sling length, vertical height, and how the load splits among the legs. If there are n legs supporting weight W, the tension in each leg T relates to the angle θ that a leg makes with vertical: n T cos θ = W. The cosine of the angle is the vertical height over the sling length, cos θ = h/L. Substituting gives T = W/(n cos θ) = W L/(n h) = (W/n) × (L/h). Here, L/h is the load factor. Rewriting this relationship to isolate the geometry factor yields Sling Length ÷ Vertical Height = Load Factor × Weight ÷ Number of Legs. This shows why the stated formula is correct: it directly expresses how the sling’s geometry (length versus height) scales the load carried per leg. If you compare other forms, they would misplace the geometric ratio or mix the terms in a way that doesn’t match the actual tension per leg derived from the geometry. In practice, this formula lets you compute the per-leg tension as T = (W/n) × (L/h), so increasing sling length or decreasing vertical height raises the required tension.

When a load is lifted with a sling at an angle, the tension in each sling leg grows with how slanted the legs are. The geometry connects sling length, vertical height, and how the load splits among the legs.

If there are n legs supporting weight W, the tension in each leg T relates to the angle θ that a leg makes with vertical: n T cos θ = W. The cosine of the angle is the vertical height over the sling length, cos θ = h/L. Substituting gives T = W/(n cos θ) = W L/(n h) = (W/n) × (L/h). Here, L/h is the load factor.

Rewriting this relationship to isolate the geometry factor yields Sling Length ÷ Vertical Height = Load Factor × Weight ÷ Number of Legs. This shows why the stated formula is correct: it directly expresses how the sling’s geometry (length versus height) scales the load carried per leg.

If you compare other forms, they would misplace the geometric ratio or mix the terms in a way that doesn’t match the actual tension per leg derived from the geometry. In practice, this formula lets you compute the per-leg tension as T = (W/n) × (L/h), so increasing sling length or decreasing vertical height raises the required tension.