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Gurasees
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How can I find maximum deflection in a column with one end fixed and other free?
But the column is vertical and it has axial load on it.russ_watters said:
Isn't that the same thing, just rotated 90 degrees? Can you post a diagram?Gurasees said:But the column is vertical and it has axial load on it.
russ_watters said:Isn't that the same thing, just rotated 90 degrees? Can you post a diagram?
Oh, right - axial. I don't think there is a specific deflection, since the column is either stable - and returns to center - or unstable - and catastrophically failsGurasees said:https://www.engineeringtoolbox.com/euler-column-formula-d_1813.html
need the deflection for 4th case (n=0.25)
Gurasees said:How can I find maximum deflection in a column with one end fixed and other free?
russ_watters said:Oh, right - axial. I don't think there is a specific deflection, since the column is either stable - and returns to center - or unstable - and catastrophically fails
Maximum deflection in columns refers to the maximum amount of bending or displacement that a column can experience under a given load. It is an important factor to consider in structural design as excessive deflection can lead to structural failure.
In fixed end columns, maximum deflection is calculated using the Euler's formula: Δ = PL^3/(48EI), where Δ is the deflection, P is the applied load, L is the length of the column, E is the modulus of elasticity, and I is the moment of inertia of the column cross-section.
In free end columns, maximum deflection is calculated using the Rankine-Gordon formula: Δ = PL^4/(8EI), where Δ is the deflection, P is the applied load, L is the length of the column, E is the modulus of elasticity, and I is the moment of inertia of the column cross-section.
The material of the column, specifically its modulus of elasticity, has a significant impact on maximum deflection. A material with a higher modulus of elasticity will have a lower deflection under the same load compared to a material with a lower modulus of elasticity.
Yes, maximum deflection in columns can be reduced by increasing the column's cross-sectional area, using a material with a higher modulus of elasticity, or increasing the column's length. Additionally, proper bracing and reinforcement can also help reduce deflection in columns.