Select beam type, load type, and enter the necessary entities. The tool will readily let you know how much deflection is there in the beam.
Following beam deflection formulation will help you out in determining the respective beam deflections for certain masses it contains
\(𝛿_{max}=\dfrac{PL^{3}}{48EI}\)
\(𝛿_{max}=\dfrac{Pb\left(3L^{2}-4b^{2}\right)}{48EI}\)
\(𝛿_{max}=\dfrac{5wL^{4}}{384EI}\)
\(𝛿_{max}=\dfrac{0.00652wL^{4}}{EI}\)
\(𝛿_{max}=\dfrac{wL^{4}}{120EI}\)
\(𝛿_{max}=\dfrac{ML^{2}}{9\sqrt{3}EI}\)
For those specific types of beam, our metallic i beam deflection calculator exclusive equations which can be as follows:
\(𝛿_{max}=\dfrac{PL^{3}}{3EI}\)
\(𝛿_{max}=\dfrac{Pa^{2}\left(3L-a\right)}{6EI}\)
\(𝛿_{max}=\dfrac{wL^{4}}{30EI}\)
\(𝛿_{max}=\dfrac{11wL^{4}}{120EI}\)
\(𝛿_{max}=\dfrac{ML^{2}}{2EI}\)
To apply this beam deflection calculator, comply with the underneath-stated steps:
| Property | Symbol | Formula | Example |
|---|---|---|---|
| Deflection | δ | δ = (F × L³) / (3 × E × I) | If F = 100 N, L = 2 m, E = 200 GPa, I = 0.0001 m⁴, then δ = 0.00067 m |
| Force | F | F = (3 × E × I × δ) / L³ | If δ = 0.00067 m, E = 200 GPa, I = 0.0001 m⁴, L = 2 m, then F = 100 N |
| Beam Length | L | L = ∛( (3 × E × I × δ) / F ) | If F = 100 N, δ = 0.00067 m, E = 200 GPa, I = 0.0001 m⁴, then L = 2 m |
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