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Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Formula

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Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis. Check FAQs

I neutral = \frac{P \cdot c \cdot e}{f - (\frac{P}{A cs})}

I_neutral - Moment of Inertia about Neutral Axis?P - Axial Load?c - Outermost Fiber Distance?e - Distance from Load applied?f - Total Unit Stress?A_cs - Cross-Sectional Area?

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Example

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Here is how the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading equation looks like with Values.

Here is how the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading equation looks like with Units.

Here is how the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading equation looks like.

18.826 = \frac{9.99 \cdot 17 \cdot 11}{100 - (\frac{9.99}{13})}

18.826kg·m² = \frac{9.99kN \cdot 17mm \cdot 11mm}{100Pa - (\frac{9.99kN}{13m²})}

18.826 = \frac{9.99 \cdot 17 \cdot 11}{100 - (\frac{9.99}{13})}

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Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Solution

Follow our step by step solution on how to calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

FIRST Step Consider the formula

I neutral = \frac{P \cdot c \cdot e}{f - (\frac{P}{A cs})}

Next Step Substitute values of Variables

∴

I neutral = \frac{9.99kN \cdot 17mm \cdot 11mm}{100Pa - (\frac{9.99kN}{13m²})}

Next Step Prepare to Evaluate

∴

I neutral = \frac{9.99 \cdot 17 \cdot 11}{100 - (\frac{9.99}{13})}

Next Step Evaluate

∴

I neutral = 18.8259703413152kg·m²

LAST Step Rounding Answer

∴

I neutral = 18.826kg·m²

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Formula Elements

Variables

Moment of Inertia about Neutral Axis

Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.

Symbol: I_neutral

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia about Neutral Axis

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Outermost Fiber Distance

Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.

Symbol: c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outermost Fiber Distance

Distance from Load applied

Distance from Load applied is defined as the length from which the load is applied.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Load applied

Total Unit Stress

Total Unit Stress is defined as the the total force acting on unit area.

Symbol: f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Unit Stress

Cross-Sectional Area

Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Other formulas in Eccentric Loading category

Go Total Unit Stress in Eccentric Loading

f = (\frac{P}{A cs}) + (P \cdot c \cdot \frac{e}{I neutral})

Go Cross-Sectional Area given Total Unit Stress in Eccentric Loading

A cs = \frac{P}{f - ((P \cdot c \cdot \frac{e}{I neutral}))}

Go Radius of Gyration in Eccentric Loading

k G = \sqrt{\frac{I}{A cs}}

Go Moment of Inertia given Radius of Gyration in Eccentric Loading

I = ({k G}^{2}) \cdot A cs

How to Evaluate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading evaluator uses Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)) to evaluate the Moment of Inertia about Neutral Axis, Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading formula is defined as the quantitative measure of the rotational inertia of a body. Moment of Inertia about Neutral Axis is denoted by I_neutral symbol.

How to evaluate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading using this online evaluator? To use this online evaluator for Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading, enter Axial Load (P), Outermost Fiber Distance (c), Distance from Load applied (e), Total Unit Stress (f) & Cross-Sectional Area (A_cs) and hit the calculate button.

FAQs on Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading

What is the formula to find Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

The formula of Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading is expressed as Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)). Here is an example- 1.9E-5 = (9990*0.017*0.011)/(100-(9990/13)).

How to calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

With Axial Load (P), Outermost Fiber Distance (c), Distance from Load applied (e), Total Unit Stress (f) & Cross-Sectional Area (A_cs) we can find Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading using the formula - Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)).

Can the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading be negative?

Yes, the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading, measured in Moment of Inertia can be negative.

Which unit is used to measure Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading can be measured.

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Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Formula

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Example

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Solution

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

FAQs on Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading

Variable Name