Quickly and accurately calculate the deflection of solid round beams under various loads. Essential for engineers, architects, and builders, this tool helps assess structural integrity, ensuring safety and compliance in your designs. Understand how material properties and dimensions impact beam performance with ease.
Formula:
For a simply supported beam with a concentrated load at its center:
δ = (P × L3) / (48 × E × I)
Where the Moment of Inertia (I) for a solid circular cross-section is:
I = (π × D4) / 64
- δ = Maximum Deflection (mm)
- P = Concentrated Load (N)
- L = Span Length (m)
- E = Modulus of Elasticity (Pa)
- I = Area Moment of Inertia (m4)
- D = Outer Diameter of the Beam (m)