// multi-utility computation suite · offline · instant · precise
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eng.pin-joint-truss-member Calculator
Calculates member forces in a statically determinate pin-joint truss using the method of joints from applied loads and geometry. The method of joints solves for two unknowns per joint — the process starts from a joint with only two unknown members.
Inputs
Force Kn
Push or pull (N). F = ma. Net force determines acceleration. Account for all forces including gravity and friction.
Cross Section Cm2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Length M
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
E Gpa
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
Fy Mpa
Stress at which permanent deformation begins. Design loads should stay below this — apply a safety factor of 1.5–3×.
Results
axial stress (MPa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
utilization σ/fy
Fraction of capacity actually being used. Above 80–85% is typically considered high utilisation; above 95% leads to queuing and latency spikes.
axial deformation δ (mm)
The specific form or variant of the result.
slenderness ratio L/r
The proportional relationship between two quantities.
σ = F/A; δ = FL/(AE)
Reference formula or conversion factor shown for context.
stress check
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.