Scissor mechanism

Apply constraint-compatible virtual displacements to levers, pulleys, mechanisms, and force-direction optimization.

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Advanced engineering statics simulation

Virtual Work Equilibrium Suite

Five distinct, constraint-compatible virtual-work models; efficiency is separated from geometry.

Simulation

Derive horizontal and vertical virtual motions from one generalized angle.

Applied load120 N

20–400

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Link length1.8 m

0.3–3.5

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Generalized link angle40 deg

deg

5–90

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

compatible virtual motion

Required input

143.010 N

Virtual-work residual

0.00e+0 N

Should be near zero

dx/dθ

-2.314 m/rad

dy/dθ

2.758 m/rad

|dy/dx|=2757759995.228

\delta W=\sum \mathbf{F}_i\cdot\delta\mathbf{r}_i+\sum M_i\delta\theta_i=0

All virtual displacements come from one admissible generalized coordinate.

Model scope and verification

Scope: Educational rigid-body statics model using the selected geometry, stated idealizations, and displayed SI units.

Acceptance check: Check the governing equilibrium, compatibility, geometry, or limiting-condition statement before accepting the numerical result.

Lever equilibrium Pulley-system virtual work Small-displacement compatibility Minimum-input-force direction

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