Sling Tension Factor
Calculate the tension (load) factor of a sling leg, k = 1 ÷ cos α, from the leg angle from vertical α (degrees). The tension factor is the MULTIPLIER showing how much a sling leg's inclination INCREASES its tension versus a vertical leg. For a vertical leg (α = 0°), the factor is 1 (the leg supports exactly its share of the weight); as the angle opens, the factor grows: 1.04 at 15°, 1.15 at 30°, 1.41 at 45°, 2.0 at 60°, and shoots to infinity approaching 90° (horizontal legs, physically impossible to support). This factor is the quick, standardized way to assess the angle 'penalty' in lifting: just multiply the load per leg (weight ÷ number of legs) by the tension factor to get the real tension. Rigging tables and sling safety labels carry these factors precisely for the operator to adjust capacity. The golden rule of safe rigging is to keep leg angles CLOSED (near vertical, below 45° from vertical whenever possible) — very open legs are a frequent cause of overload accidents. Knowing the tension factor is essential for any lift with inclined sling legs. Enter the leg angle from vertical.
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Fator de tensão da lingada
O fator de tensão (de carga) de uma perna de lingada é k = 1 ÷ cos α, a partir do ângulo da perna em relação à vertical α. É o multiplicador que mostra quanto a inclinação de uma perna de linga aumenta a tração nela em relação a uma perna vertical. Para uma perna vertical (α = 0°), o fator é 1 (a perna sustenta exatamente sua parcela do peso); à medida que o ângulo abre, o fator cresce: 1,04 a 15°, 1,15 a 30°, 1,41 a 45°, 2,0 a 60°, e dispara para o infinito ao se aproximar de 90° (pernas horizontais, fisicamente impossível sustentar). Esse fator é a forma rápida e padronizada de avaliar a 'penalidade' do ângulo no içamento: basta multiplicar a carga por perna (peso ÷ número de pernas) pelo fator de tensão para obter a tração real. As tabelas de rigging e os adesivos de segurança em lingas trazem esses fatores justamente para o operador ajustar a capacidade. A regra de ouro do rigging seguro é manter os ângulos das pernas fechados (próximos da vertical, abaixo de 45° da vertical sempre que possível) — pernas muito abertas são uma causa frequente de acidentes por sobrecarga. Conhecer o fator de tensão é essencial para qualquer operação de içamento com lingas inclinadas. Informe o ângulo da perna em relação à vertical.
Related Tools
Sling Leg Tension
Calculate the tension in each leg of a multi-leg inclined sling, T = W ÷ (n·cos α), from the load weight W (N), the number of legs n and the angle of each leg from vertical α (degrees). When a load is lifted by a multi-leg sling (ropes or chains from the hook spreading to the attachment points on the load), the tension in each leg is NOT simply the weight divided by the number of legs — because the legs are INCLINED. The more OPEN the angle (more horizontal legs), the HIGHER the tension in each leg, possibly MULTIPLYING the load several times! This happens because, with inclined legs, part of each leg's force is 'spent' on the horizontal component (which cancels between opposite legs, compressing the load), and only the vertical component supports the weight — so the total tension must be higher for the vertical components to sum to the weight. This is one of the most dangerous and common rigging errors: using slings with very open angles overloads the legs, possibly breaking them even with a load 'apparently' within capacity. So codes LIMIT the leg angle (typically 60° max from vertical, ideally less) and sling WLL tables give the REDUCED capacity per angle. Enter the load weight, the number of legs and the angle.
Cable Tension in Accelerated Lift
Calculate the dynamic tension in a cable while lifting a load with acceleration, T = W·(1 + a/g), from the load weight W (N), the vertical lift acceleration a (m/s²) and gravity g. When a load is lifted with ACCELERATION (at lift start, when accelerating the rise), the cable must provide not only the force to support the weight (W) but ALSO the force to accelerate the mass upward — by Newton's second law, the total tension is the weight times the factor (1 + a/g). This means the DYNAMIC tension is GREATER than the static weight: an acceleration of g/2 (5 m/s²) raises the tension by 50%! That is why ABRUPT lifts (fast start, or worse, lifting an already-moving load or stopping abruptly) generate dangerous dynamic OVERLOADS in the cable, which can break it even with the static load within capacity. The effect is worse in abrupt STOPS and in loads 'snatching off the ground' (cable slack suddenly removed, generating an impact). So experienced operators lift SMOOTHLY (low acceleration), and the cable safety factors (5 or more) exist precisely to cover these inevitable dynamic overloads. This calculation quantifies the tension increase due to acceleration, essential in the safety analysis of dynamic lifts. Enter the load weight and the lift acceleration.
Wire Rope Safety Factor
Calculate a wire rope's safety factor, SF = breaking load ÷ working load, from the minimum breaking load (MBL, N) and the applied working load (N). Wire ropes, used in cranes, elevators, cableways, bridges, lifting and mooring, work with HIGH safety factors — far higher than static structures — for several reasons: the load is rarely static (there are impacts, accelerations, swings), the rope wears and loses strength over use (wires break, corrosion and fatigue occur), and a rupture is catastrophic (load drop, life risk). Codes prescribe minimum safety factors per application: typically 5 for general load lifting, 6-8 for people-carrying ropes (elevators, cableways), 3-4 for static stays and moorings, and specific values per use. The safety factor is the ratio between the load that would break the rope (its rated strength, from the maker) and the load it actually carries in service. Checking that the real safety factor meets the code minimum is the basic safety check of any wire-rope application — and the rope must be DISCARDED when wear reduces its strength enough for the factor to fall below the limit. Enter the breaking load and the working load.
The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.