Euler Buckling (2D)
End conditions
Pinned-Pinned (K = 1.0)
Fixed-Fixed (K = 0.5)
Fixed-Pinned (K ≈ 0.7)
Fixed-Free / cantilever (K = 2.0)
Elastic modulus E:
200 GPa
Moment of inertia I:
4.0 ×10⁶ mm⁴
Length L:
2.00 m
Applied load P:
0 kN
Load slowly
Reset
Critical load P_cr
—
Applied load P
—
Load ratio P/P_cr
—
Safety factor
—
Status
STABLE
P_cr = π²·E·I / (K·L)². Deflection shape is the true first buckling eigenmode for the selected end condition (half-sine, full-sine, cantilever quarter-cosine, or the fixed-pinned approximation).