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Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Formula

GoLength of Column given Crippling Load if One End of Column is Fixed and Other is Hinged Formula

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Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions. Check FAQs

l = \frac{M t + P \cdot δ}{H} + x

l - Column Length?M_t - Moment of Section?P - Column Crippling Load?δ - Deflection at Section?H - Horizontal Reaction?x - Distance b/w Fixed End and Deflection Point?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Example

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Here is how the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged equation looks like with Values.

Here is how the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged equation looks like with Units.

Here is how the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged equation looks like.

3018.025 = \frac{50 + 3 \cdot 12}{2} + 3000

3018.025mm = \frac{50N*mm + 3kN \cdot 12mm}{2kN} + 3000mm

3018.025 = \frac{50 + 3 \cdot 12}{2} + 3000

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Strength of Materials » fx Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Solution

Follow our step by step solution on how to calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

FIRST Step Consider the formula

l = \frac{M t + P \cdot δ}{H} + x

Next Step Substitute values of Variables

∴

l = \frac{50N*mm + 3kN \cdot 12mm}{2kN} + 3000mm

Next Step Convert Units

∴

l = \frac{0.05N*m + 3000N \cdot 0.012m}{2000N} + 3m

Next Step Prepare to Evaluate

∴

l = \frac{0.05 + 3000 \cdot 0.012}{2000} + 3

Next Step Evaluate

∴

l = 3.018025m

LAST Step Convert to Output's Unit

∴

l = 3018.025mm

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Formula Elements

Variables

Column Length

Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Length

Moment of Section

The Moment of Section is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.

Symbol: M_t

Measurement: Moment of ForceUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Moment of Section

Column Crippling Load

Column 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 Column Crippling Load

Deflection at Section

Deflection at Section is the lateral displacement at the section of the column.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Deflection at Section

Horizontal Reaction

Horizontal Reaction is used to balance the bending moment due to vertical reactions and dead load, live load, etc.

Symbol: H

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Horizontal Reaction

Distance b/w Fixed End and Deflection Point

Distance b/w Fixed End and Deflection Point is the distance x between the point of deflection at section and fixed point.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance b/w Fixed End and Deflection Point

Other Formulas to find Column Length

Go Length of Column given Crippling Load if One End of Column is Fixed and Other is Hinged

l = \sqrt{\frac{2 \cdot π^{2} \cdot E \cdot I}{P}}

Other formulas in One End of Column is Fixed and Other is Hinged category

Go Moment at Section if One End of Column is Fixed and Other is Hinged

M t = - P \cdot δ + H \cdot (l - x)

Go Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged

P = \frac{- M t + H \cdot (l - x)}{δ}

Go Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged

δ = \frac{- M t + H \cdot (l - x)}{P}

Go Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged

H = \frac{M t + P \cdot δ}{l - x}

How to Evaluate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged evaluator uses Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point to evaluate the Column Length, Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the distance from the fixed end to the point where the moment is applied, considering the load and deflection of the column. Column Length is denoted by l symbol.

How to evaluate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged using this online evaluator? To use this online evaluator for Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged, enter Moment of Section (M_t), Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H) & Distance b/w Fixed End and Deflection Point (x) and hit the calculate button.

FAQs on Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged

What is the formula to find Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

The formula of Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged is expressed as Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point. Here is an example- 3E+6 = (0.05+3000*0.012)/2000+3.

How to calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

With Moment of Section (M_t), Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H) & Distance b/w Fixed End and Deflection Point (x) we can find Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged using the formula - Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point.

What are the other ways to Calculate Column Length?

Here are the different ways to Calculate Column Length-

Column Length=sqrt((2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))

Can the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged be negative?

No, the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged, measured in Length cannot be negative.

Which unit is used to measure Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged can be measured.

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Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Formula

​GoLength of Column given Crippling Load if One End of Column is Fixed and Other is Hinged Formula

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Example

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Solution

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Formula Elements

Other Formulas to find Column Length

Other formulas in One End of Column is Fixed and Other is Hinged category

How to Evaluate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

FAQs on Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged

Variable Name

GoLength of Column given Crippling Load if One End of Column is Fixed and Other is Hinged Formula