Structure Settings
Beam Span L6.0 m
Support Conditions
Left End A
Right End B
Concentrated Loads (max 5)
Magnitude [kN]
Angle [°]
Position x [m]
Label
Concentrated Moment
Magnitude [kN·m]
Position x [m]
Positive: counter-clockwise (CCW)
—
Ax [kN]
—
Ay [kN]
—
By [kN]
—
Equilibrium Error
Theory (Static Equilibrium Conditions)
Three equilibrium equations for a statically determinate 2D rigid body:
$$\sum F_x = 0 \quad \sum F_y = 0 \quad \sum M_A = 0$$Determinacy condition: number of unknown reactions = 3 (equals number of equations)
Pin support → $A_x, A_y$ (2 reactions) Roller → $B_y$ (1 reaction) Fixed end → $A_x, A_y, M_A$ (3 reactions)
Degree of indeterminacy $= $ (no. of unknowns) $- 3$
CAE Integration: Verify boundary conditions and hand-calculate reactions before FEM analysis / preliminary beam and frame design / check SPC setup errors in NASTRAN, ABAQUS, ANSYS. Early detection of modelling errors by comparing with statically determinate approximations.