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Deflection at Section of Column with Eccentric Load given Moment at Section Formula

GoDeflection at Free End given Moment at Section of Column with Eccentric load Formula

GoDeflection at Section of Column with Eccentric Load Formula

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Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity. Check FAQs

δ c = - (\frac{M}{P}) + a crippling + e

δ_c - Deflection of Column?M - Moment of force?P - Eccentric load on column?a_crippling - Deflection of Free End?e - Eccentricity?

Deflection at Section of Column with Eccentric Load given Moment at Section Example

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Here is how the Deflection at Section of Column with Eccentric Load given Moment at Section equation looks like with Values.

Here is how the Deflection at Section of Column with Eccentric Load given Moment at Section equation looks like with Units.

Here is how the Deflection at Section of Column with Eccentric Load given Moment at Section equation looks like.

13814 = - (\frac{48}{40}) + 14 + 15000

13814mm = - (\frac{48N*m}{40N}) + 14mm + 15000mm

13814 = - (\frac{48}{40}) + 14 + 15000

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Deflection at Section of Column with Eccentric Load given Moment at Section Solution

Follow our step by step solution on how to calculate Deflection at Section of Column with Eccentric Load given Moment at Section?

FIRST Step Consider the formula

δ c = - (\frac{M}{P}) + a crippling + e

Next Step Substitute values of Variables

∴

δ c = - (\frac{48N*m}{40N}) + 14mm + 15000mm

Next Step Convert Units

∴

δ c = - (\frac{48N*m}{40N}) + 0.014m + 15m

Next Step Prepare to Evaluate

∴

δ c = - (\frac{48}{40}) + 0.014 + 15

Next Step Evaluate

∴

δ c = 13.814m

LAST Step Convert to Output's Unit

∴

δ c = 13814mm

Deflection at Section of Column with Eccentric Load given Moment at Section Formula Elements

Variables

Deflection of Column

Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity.

Symbol: δ_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Column

Moment of force

Moment of force is the product of a force and the perpendicular distance of the line of action of the force.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Moment of force

Eccentric load on column

Eccentric load on column is the load that causes direct stress as well as bending stress.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Eccentric load on column

Deflection of Free End

Deflection of Free End is the deflection caused due to crippling load at the free end.

Symbol: a_crippling

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Deflection of Free End

Eccentricity

Eccentricity is the distance from point of application of resultant to center of base.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity

Other Formulas to find Deflection of Column

Go Deflection at Free End given Moment at Section of Column with Eccentric load

δ c = (\frac{M}{P}) - (e load + a crippling)

Go Deflection at Section of Column with Eccentric Load

δ c = (a crippling + e) \cdot (1 - \cos (x \cdot \sqrt{\frac{P}{ε column \cdot I}}))

Other formulas in Columns With Eccentric Load category

Go Moment at Section of Column with Eccentric Load

M = P \cdot (a crippling + e load - δ c)

Go Eccentricity given Moment at Section of Column with Eccentric Load

e = (\frac{M}{P}) - a crippling + δ c

Go Eccentric Load given Deflection at Section of Column with Eccentric Load

P = ({(\frac{a \cos (1 - (\frac{δ c}{a crippling + e load}))}{x})}^{2}) \cdot (ε column \cdot I)

Go Modulus of Elasticity given Deflection at Section of Column with Eccentric Load

ε column = (\frac{P}{I \cdot ({(\frac{a \cos (1 - (\frac{δ c}{a crippling + e load}))}{x})}^{2})})

How to Evaluate Deflection at Section of Column with Eccentric Load given Moment at Section?

Deflection at Section of Column with Eccentric Load given Moment at Section evaluator uses Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity to evaluate the Deflection of Column, Deflection at Section of Column with Eccentric Load given Moment at Section formula is defined as a measure of the lateral displacement of a column section under an eccentric load, taking into account the moment at that section, which is critical in evaluating the structural integrity of columns subjected to such loads. Deflection of Column is denoted by δ_c symbol.

How to evaluate Deflection at Section of Column with Eccentric Load given Moment at Section using this online evaluator? To use this online evaluator for Deflection at Section of Column with Eccentric Load given Moment at Section, enter Moment of force (M), Eccentric load on column (P), Deflection of Free End (a_crippling) & Eccentricity (e) and hit the calculate button.

FAQs on Deflection at Section of Column with Eccentric Load given Moment at Section

What is the formula to find Deflection at Section of Column with Eccentric Load given Moment at Section?

The formula of Deflection at Section of Column with Eccentric Load given Moment at Section is expressed as Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity. Here is an example- 1.4E+7 = -(48/40)+0.014+15.

How to calculate Deflection at Section of Column with Eccentric Load given Moment at Section?

With Moment of force (M), Eccentric load on column (P), Deflection of Free End (a_crippling) & Eccentricity (e) we can find Deflection at Section of Column with Eccentric Load given Moment at Section using the formula - Deflection of Column = -(Moment of force/Eccentric load on column)+Deflection of Free End+Eccentricity.

What are the other ways to Calculate Deflection of Column?

Here are the different ways to Calculate Deflection of Column-

Deflection of Column=(Moment of force/Eccentric load on column)-(Eccentricity of Load+Deflection of Free End)
Deflection of Column=(Deflection of Free End+Eccentricity)*(1-cos(Distance b/w fixed end and deflection point*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))

Can the Deflection at Section of Column with Eccentric Load given Moment at Section be negative?

No, the Deflection at Section of Column with Eccentric Load given Moment at Section, measured in Length cannot be negative.

Which unit is used to measure Deflection at Section of Column with Eccentric Load given Moment at Section?

Deflection at Section of Column with Eccentric Load given Moment at Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection at Section of Column with Eccentric Load given Moment at Section can be measured.

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Deflection at Section of Column with Eccentric Load given Moment at Section Formula

​GoDeflection at Free End given Moment at Section of Column with Eccentric load Formula

​GoDeflection at Section of Column with Eccentric Load Formula

Deflection at Section of Column with Eccentric Load given Moment at Section Example

Deflection at Section of Column with Eccentric Load given Moment at Section Solution

Deflection at Section of Column with Eccentric Load given Moment at Section Formula Elements

Other Formulas to find Deflection of Column

Other formulas in Columns With Eccentric Load category

How to Evaluate Deflection at Section of Column with Eccentric Load given Moment at Section?

FAQs on Deflection at Section of Column with Eccentric Load given Moment at Section

Variable Name

GoDeflection at Free End given Moment at Section of Column with Eccentric load Formula

GoDeflection at Section of Column with Eccentric Load Formula