Truss Solver

2D truss analysis using the matrix stiffness method — nodal displacements, member forces & reactions

Truss Layout

Tension (+)
Compression (-)
Zero force (≈0)
x → (m)y ↑ (m)0246810-0.5000.5011.5022.50M1-1601 NM2+0 NM3-0 NM4-1601 NM5+1250 NM6+1250 NM7-1250 NPinRᵧ: +1000 NRollerRᵧ: +1000 NFᵧ: -1000 NFᵧ: -1000 NN1(0, 0)N2(2.50, 2)N3(5, 0)N4(7.50, 2)N5(10, 0)
Max Nodal Displacement |Δ|
2.464e-5 m
Max Axial Force |N|
-1600.78 N
+ = tension, - = compression

Nodal Displacements (Δ)

NodeΔx (m)Δy (m)
N10.000e+00.000e+0
N29.375e-6-1.992e-5
N36.250e-6-2.383e-5
N43.125e-6-1.992e-5
N51.250e-50.000e+0

Member Forces

MemberLength (m)Axial Force N (N)Stress σ (Pa)
M13.202-1600.78-3.202e+5
M23.202+0.002.117e-10
M33.202-0.00-5.291e-11
M43.202-1600.78-3.202e+5
M55.000+1250.002.500e+5
M65.000+1250.002.500e+5
M75.000-1250.00-2.500e+5

Support Reactions

SupportNodeRₓ (N)Rᵧ (N)
s1N1+0.00+1000.00
s2N5+0.00+1000.00