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

GoMaximum Initial Deflection given Initial Deflection at Distance X from A Formula

GoMaximum Initial Deflection given Final Deflection at Distance X from End A of Column Formula

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Maximum Initial Deflection is the degree to which a structural element is displaced under a load. Check FAQs

C = \frac{δ c}{\frac{1}{1 - (\frac{P}{P E})}}

C - Maximum Initial Deflection?δ_c - Deflection of Column?P - Crippling Load?P_E - Euler Load?

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

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Here is how the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature equation looks like with Values.

Here is how the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature equation looks like with Units.

Here is how the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature equation looks like.

1.2 = \frac{12}{\frac{1}{1 - (\frac{3.6}{4})}}

1.2mm = \frac{12mm}{\frac{1}{1 - (\frac{3.6kN}{4kN})}}

1.2 = \frac{12}{\frac{1}{1 - (\frac{3.6}{4})}}

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

Follow our step by step solution on how to calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

FIRST Step Consider the formula

C = \frac{δ c}{\frac{1}{1 - (\frac{P}{P E})}}

Next Step Substitute values of Variables

∴

C = \frac{12mm}{\frac{1}{1 - (\frac{3.6kN}{4kN})}}

Next Step Convert Units

∴

C = \frac{0.012m}{\frac{1}{1 - (\frac{3600N}{4000N})}}

Next Step Prepare to Evaluate

∴

C = \frac{0.012}{\frac{1}{1 - (\frac{3600}{4000})}}

Next Step Evaluate

∴

C = 0.0012m

LAST Step Convert to Output's Unit

∴

C = 1.2mm

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

Variables

Maximum Initial Deflection

Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

Symbol: C

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Maximum Initial Deflection

Deflection of Column

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.

Symbol: δ_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Column

Crippling Load

Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Crippling Load

Euler Load

Euler load is the compressive load at which a slender column will suddenly bend or buckle.

Symbol: P_E

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Euler Load

Other Formulas to find Maximum Initial Deflection

Go Maximum Initial Deflection given Initial Deflection at Distance X from A

C = \frac{y'}{\sin (\frac{π \cdot x}{l})}

Go Maximum Initial Deflection given Final Deflection at Distance X from End A of Column

C = \frac{δ c}{(\frac{1}{1 - (\frac{P}{P E})}) \cdot \sin (\frac{π \cdot x}{l})}

Go Maximum Initial Deflection given Maximum Stress for Columns with Initial Curvature

C = (1 - (\frac{σ}{σ E})) \cdot ((\frac{σ max}{σ}) - 1) \cdot \frac{{k G}^{2}}{c}

Other formulas in Columns With Initial Curvature category

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

x = (a \sin (\frac{y'}{C})) \cdot \frac{l}{π}

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

l = \frac{π \cdot x}{a \sin (\frac{y'}{C})}

Go Euler Load

P E = \frac{(π^{2}) \cdot ε column \cdot I}{l^{2}}

Go Modulus of Elasticity given Euler Load

ε column = \frac{P E \cdot (l^{2})}{(π^{2}) \cdot I}

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

Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature evaluator uses Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))) to evaluate 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 evaluate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature

What is the formula to find Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

The formula of Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature is expressed as Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))). Here is an example- 1200 = 0.012/(1/(1-(3600/4000))).

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

With Deflection of Column (δ_c), Crippling Load (P) & Euler Load (P_E) we can find Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature using the formula - Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))).

What are the other ways to Calculate Maximum Initial Deflection?

Here are the different ways to Calculate Maximum Initial Deflection-

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

Can the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature be negative?

Yes, the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature, measured in Length can be negative.

Which unit is used to measure Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?

Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature can be measured.

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

​GoMaximum Initial Deflection given Initial Deflection at Distance X from A Formula

​GoMaximum Initial Deflection given Final Deflection at Distance X from End A of Column Formula

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

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

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

Other Formulas to find Maximum Initial Deflection

Other formulas in Columns With Initial Curvature category

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

FAQs on Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature

Variable Name

GoMaximum Initial Deflection given Initial Deflection at Distance X from A Formula

GoMaximum Initial Deflection given Final Deflection at Distance X from End A of Column Formula