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Structures · Intermediate · Real physics

Beam Analysis

Move loads along a supported beam and analyze shear, moment and elastic deflection.

STATIC EQUILIBRIUM ANALYSIS
Calculated static equilibrium
SOLVER-DRIVEN ELASTIC BENDINGPin + roller · point load + uniform load
Entire mobile beam with supports, distributed loads and true elastic deflection curveBEAM ANALYSISSimply supported · elastic bendingPoint load P = 8.0 kNLoad at x = 3.00 mRₐ = 10.0 kNRᵦ = 10.0 kNSpan L = 6.00 mMax deflection: 43.59 mm ↓Blue curve enlarged · drag on beam to move load
CROSS-SECTION INSPECTOR

Read shear, moment and deflection at any x

Displacement curve visually exaggerated
Local shear V(x)-4.00 kN
Bending moment M(x)21.00 kN·m
Elastic deflection δ(x)43.594 mm
Flexural rigidity EI1.60e+6 N·m²
Nominal bending stress at x131.25 MPa
Maximum |bending stress|131.25 MPa
Equilibrium checkRₐ + Rᵦ − P − wL = 0.000000 kNPositive deflection is downward. At a concentrated load, shear is discontinuous; the reported value is the right-hand limit. Shear left-hand value: 4.00 kN.Nominal bending stress σ = M c / I with an assumed extreme-fiber distance c = 50.0 mm. The supplied section dimension and second moment I must describe the same real cross-section; otherwise the stress is not physically interpretable. Elastic linear bending only: no shear-strength, yield, stability, fatigue, code capacity or safety-factor prediction.
PHYSICS MODELEuler–Bernoulli elastic bendingSolver-linked · Visual exaggeration identified in lab · Educational approximation
Static system · change a parameter to recalculate
Maximum |moment|21.00 kN·m
Maximum |shear|10.00 kN
Maximum deflection43.594 mm