Mechanical calculators
Force, torque, stress, beams, gears and bearing life calculators.
Calculate force step by step: F = m × a (Newton's second law).
Calculate torque step by step: τ = F × r × sin θ.
Calculate work step by step: W = F × d × cos θ.
Calculate mechanical power step by step: P = W ÷ t, or P = F × v.
Calculate stress step by step: σ = F ÷ A.
Calculate strain step by step: ε = ΔL ÷ L₀ (dimensionless).
Calculate young's modulus step by step: E = σ ÷ ε.
Calculate beam deflection step by step: Simply supported: PL³/48EI (centre point), 5wL⁴/384EI (uniform).
Calculate bending stress step by step: σ = M × c ÷ I = M ÷ S.
Calculate shear stress step by step: Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³).
Calculate buckling step by step: P_cr = π² × E × I ÷ (K × L)².
Calculate gear ratio step by step: Ratio = driven teeth ÷ driving teeth.
Calculate gear speed step by step: N_out = N_in × T_driver ÷ T_driven.
Calculate belt speed step by step: v = π × D × N ÷ 60 (D in m, N in rpm).
Calculate shaft power step by step: P = 2π × N × T ÷ 60 (N in rpm, T in N·m, P in W).
Calculate bearing life step by step: L10 = (C ÷ P)^p million revolutions (ISO 281); L10h = L10 × 10⁶ ÷ (60 × n).