Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature Calculator

✖Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load.ⓘ Deflection of Column [δ_c]			+10% -10%
✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Euler load is the compressive load at which a slender column will suddenly bend or buckle.ⓘ Euler Load [P_E]			+10% -10%

✖Maximum Initial Deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature [C]

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Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
C = δ_c/(1/(1-(P/P_E)))
This formula uses 4 Variables

Variables Used

Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the degree to which a structural element is displaced under a load.
Deflection of Column - (Measured in Meter) - Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Euler Load - (Measured in Newton) - Euler load is the compressive load at which a slender column will suddenly bend or buckle.

STEP 1: Convert Input(s) to Base Unit

Deflection of Column: 18.47108 Millimeter --> 0.01847108 Meter (Check conversion here)
Crippling Load: 2571.429 Newton --> 2571.429 Newton No Conversion Required
Euler Load: 4000 Newton --> 4000 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = δ_c/(1/(1-(P/P_E))) --> 0.01847108/(1/(1-(2571.429/4000)))

Evaluating ... ...

C = 0.00659681230667

STEP 3: Convert Result to Output's Unit

0.00659681230667 Meter -->6.59681230667 Millimeter (Check conversion here)

FINAL ANSWER

6.59681230667 ≈ 6.596812 Millimeter <-- Maximum Initial Deflection

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Columns With Initial Curvature » Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature

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< Columns With Initial Curvature Calculators

Length of Column given Initial Deflection at Distance X from end A

LaTeX Go Length of Column = (pi*Distance of Deflection from end A)/(asin(Initial Deflection/Maximum Initial Deflection))

Value of Distance 'X' given Initial Deflection at Distance X from end A

LaTeX Go Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi

Modulus of Elasticity given Euler Load

LaTeX Go Modulus of Elasticity of Column = (Euler Load*(Length of Column^2))/(pi^2*Moment of Inertia)

Euler Load

LaTeX Go Euler Load = ((pi^2)*Modulus of Elasticity of Column*Moment of Inertia)/(Length of Column^2)

Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature Formula

LaTeX Go

Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
C = δ_c/(1/(1-(P/P_E)))

What is Maximum Deflection?

Maximum Deflection refers to the largest displacement or deformation experienced by a structural element (such as a beam or column) under an applied load. It occurs at the point along the length of the element where the bending or deformation is greatest.

How to Calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature calculator uses Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))) to calculate the Maximum Initial Deflection, The Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature formula is defined as a measure of the initial deflection of a column with initial curvature, which is essential in understanding the behavior of columns under different loads and stress conditions, providing valuable insights for structural engineers and architects. Maximum Initial Deflection is denoted by C symbol.

How to calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature using this online calculator? To use this online calculator for Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature, enter Deflection of Column (δ_c), Crippling Load (P) & Euler Load (P_E) and hit the calculate button. Here is how the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature calculation can be explained with given input values -> 4285.713 = 0.01847108/(1/(1-(2571.429/4000))).

FAQ

What is Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

The Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature formula is defined as a measure of the initial deflection of a column with initial curvature, which is essential in understanding the behavior of columns under different loads and stress conditions, providing valuable insights for structural engineers and architects and is represented as C = δ_c/(1/(1-(P/P_E))) or Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))). Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load, Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself & Euler load is the compressive load at which a slender column will suddenly bend or buckle.

How to calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

The Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature formula is defined as a measure of the initial deflection of a column with initial curvature, which is essential in understanding the behavior of columns under different loads and stress conditions, providing valuable insights for structural engineers and architects is calculated using Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))). To calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature, you need Deflection of Column (δ_c), Crippling Load (P) & Euler Load (P_E). With our tool, you need to enter the respective value for Deflection of Column, Crippling Load & Euler Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Initial Deflection?

In this formula, Maximum Initial Deflection uses Deflection of Column, Crippling Load & Euler Load. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column)
Maximum Initial Deflection = Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*sin((pi*Distance of Deflection from end A)/Length of Column))
Maximum Initial Deflection = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Distance from Neutral Axis to Extreme Point

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