Beam Calculator

Calculate reactions, shear forces, bending moments, deflections, and stresses.

Beam Configuration

Pin support at left, roller support at right. Free to rotate at both ends.

L = 10 m
Applied Loads
Load 1
Cross-Section
I =6.667e+7 mm⁴
c =100.0 mm
A =20000 mm²
Material & Design
E =200 GPa
σ_yield =250 MPa
Support Reactions
Ra
5.00
kN
Rb
5.00
kN
Design Check PASS
Allowable stress: 166.7 MPa (σ_yield / SF)
Bending Stress
37.5 MPa
Ratio: 22.5%
Shear Stress
0.4 MPa
Ratio: 0.4%
Von Mises
37.5 MPa
Ratio: 22.5%
Shear Force Diagram (SFD)
Max Shear: 5.00 kN at x = 0.00 m
0.40.91.41.82.32.83.33.84.34.85.35.86.36.77.17.58.08.48.99.410.0Position (m)-6.0-3.00.03.06.0V (kN)
Bending Moment Diagram (BMD)
Max Moment: 25.00 kN·m at x = 5.00 m
0.40.91.41.82.32.83.33.84.34.85.35.86.36.77.17.58.08.48.99.410.0Position (m)0.07.014.021.028.0M (kN·m)
Deflection Diagram
Max Deflection: -15.625 mm at x = 5.00 m
0.40.91.41.82.32.83.33.84.34.85.35.86.36.77.17.58.08.48.99.410.0Position (m)-16.00-12.00-8.00-4.000.00δ (mm)