Beam Calculator
Calculate maximum moment, deflection, and stress for simply supported and cantilever beams under various loading conditions.
Input Parameters
Enter the beam properties and loading conditions
Steel: 200,000 MPa, Concrete: 30,000 MPa, Wood: 12,000 MPa
Results
Calculated beam analysis results
Maximum Moment
0.00 kN⋅m
Maximum Deflection
0.00 mm
Maximum Stress
0.00 MPa
Reaction Forces
R1 = 0.00 kN
R2 = 0.00 kN
Formulas Used
Mathematical formulas for beam analysis calculations
Simply Supported Beam
Point Load at Center:
M_max = PL/4
δ_max = PL³/(48EI)
Uniform Load:
M_max = wL²/8
δ_max = 5wL⁴/(384EI)
Cantilever Beam
Point Load at End:
M_max = PL
δ_max = PL³/(3EI)
Uniform Load:
M_max = wL²/2
δ_max = wL⁴/(8EI)
Where: P = Point load (kN), w = Distributed load (kN/m), L = Length (m), E = Elastic modulus (Pa), I = Moment of inertia (m⁴), M = Moment (kN⋅m), δ = Deflection (m)