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Eccentricity for given moment due to eccentric load Formula

GoEccentricity using Minimum Stress Formula

GoEccentricity using Maximum Stress Formula

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Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen. Check FAQs

e load = \frac{M}{P}

e_load - Eccentricity of Loading?M - Moment due to eccentric load?P - Eccentric load on column?

Eccentricity for given moment due to eccentric load Example

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Here is how the Eccentricity for given moment due to eccentric load equation looks like with Values.

Here is how the Eccentricity for given moment due to eccentric load equation looks like with Units.

Here is how the Eccentricity for given moment due to eccentric load equation looks like.

1.1571 = \frac{8.1}{7}

1.1571mm = \frac{8.1N*m}{7kN}

1.1571 = \frac{8.1}{7}

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Eccentricity for given moment due to eccentric load Solution

Follow our step by step solution on how to calculate Eccentricity for given moment due to eccentric load?

FIRST Step Consider the formula

e load = \frac{M}{P}

Next Step Substitute values of Variables

∴

e load = \frac{8.1N*m}{7kN}

Next Step Convert Units

∴

e load = \frac{8.1N*m}{7000N}

Next Step Prepare to Evaluate

∴

e load = \frac{8.1}{7000}

Next Step Evaluate

∴

e load = 0.00115714285714286m

Next Step Convert to Output's Unit

∴

e load = 1.15714285714286mm

LAST Step Rounding Answer

∴

e load = 1.1571mm

Eccentricity for given moment due to eccentric load Formula Elements

Variables

Eccentricity of Loading

Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.

Symbol: e_load

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Loading

Moment due to eccentric load

Moment due to eccentric load is at any point of column section due to eccentric load.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Moment due to eccentric load

Eccentric load on column

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

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Eccentric load on column

Other Formulas to find Eccentricity of Loading

Go Eccentricity using Minimum Stress

e load = (1 - (σ min \cdot \frac{A sectional}{P})) \cdot (\frac{b}{6})

Go Eccentricity using Maximum Stress

e load = ((σ max \cdot \frac{A sectional}{P}) - 1) \cdot (\frac{b}{6})

Go Eccentricity using Bending Stress

e load = \frac{σ b \cdot (h \cdot (b^{2}))}{6 \cdot P}

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

Go Eccentric Load using Minimum Stress

P = \frac{σ min \cdot A sectional}{1 - (6 \cdot \frac{e load}{b})}

Go Minimum Stress using Eccentric Load and Eccentricity

σ min = \frac{P \cdot (1 - (6 \cdot \frac{e load}{b}))}{A sectional}

Go Minimum stress

σ min = (σ - σ b)

Go Eccentric Load using Maximum Stress

P = \frac{σ max \cdot A sectional}{1 + (6 \cdot \frac{e load}{b})}

How to Evaluate Eccentricity for given moment due to eccentric load?

Eccentricity for given moment due to eccentric load evaluator uses Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column to evaluate the Eccentricity of Loading, The Eccentricity for given moment due to eccentric load formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load. Eccentricity of Loading is denoted by e_load symbol.

How to evaluate Eccentricity for given moment due to eccentric load using this online evaluator? To use this online evaluator for Eccentricity for given moment due to eccentric load, enter Moment due to eccentric load (M) & Eccentric load on column (P) and hit the calculate button.

FAQs on Eccentricity for given moment due to eccentric load

What is the formula to find Eccentricity for given moment due to eccentric load?

The formula of Eccentricity for given moment due to eccentric load is expressed as Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column. Here is an example- 1157.143 = 8.1/7000.

How to calculate Eccentricity for given moment due to eccentric load?

With Moment due to eccentric load (M) & Eccentric load on column (P) we can find Eccentricity for given moment due to eccentric load using the formula - Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column.

What are the other ways to Calculate Eccentricity of Loading?

Here are the different ways to Calculate Eccentricity of Loading-

Eccentricity of Loading=(1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)
Eccentricity of Loading=((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)
Eccentricity of Loading=(Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)

Can the Eccentricity for given moment due to eccentric load be negative?

No, the Eccentricity for given moment due to eccentric load, measured in Length cannot be negative.

Which unit is used to measure Eccentricity for given moment due to eccentric load?

Eccentricity for given moment due to eccentric load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity for given moment due to eccentric load can be measured.

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