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Total Unit Stress in Eccentric Loading Formula

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

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

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

Total Unit Stress in Eccentric Loading Example

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Here is how the Total Unit Stress in Eccentric Loading equation looks like with Values.

Here is how the Total Unit Stress in Eccentric Loading equation looks like with Units.

Here is how the Total Unit Stress in Eccentric Loading equation looks like.

81.9915 = (\frac{9.99}{13}) + (9.99 \cdot 17 \cdot \frac{11}{23})

81.9915Pa = (\frac{9.99kN}{13m²}) + (9.99kN \cdot 17mm \cdot \frac{11mm}{23kg·m²})

81.9915 = (\frac{9.99}{13}) + (9.99 \cdot 17 \cdot \frac{11}{23})

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Total Unit Stress in Eccentric Loading Solution

Follow our step by step solution on how to calculate Total Unit Stress in Eccentric Loading?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = (\frac{9.99kN}{13m²}) + (9.99kN \cdot 17mm \cdot \frac{11mm}{23kg·m²})

Next Step Prepare to Evaluate

∴

f = (\frac{9.99}{13}) + (9.99 \cdot 17 \cdot \frac{11}{23})

Next Step Evaluate

∴

f = 81.9915050167224Pa

LAST Step Rounding Answer

∴

f = 81.9915Pa

Total Unit Stress in Eccentric Loading Formula Elements

Variables

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

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

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

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

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

Other formulas in Eccentric Loading category

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

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

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 Total Unit Stress in Eccentric Loading?

Total Unit Stress in Eccentric Loading evaluator uses Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis) to evaluate the Total Unit Stress, The Total Unit Stress in Eccentric Loading formula is defined as the total force applied on a unit area. Total Unit Stress is denoted by f symbol.

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

FAQs on Total Unit Stress in Eccentric Loading

What is the formula to find Total Unit Stress in Eccentric Loading?

The formula of Total Unit Stress in Eccentric Loading is expressed as Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis). Here is an example- 769.3121 = (9990/13)+(9990*0.017*0.011/23).

How to calculate Total Unit Stress in Eccentric Loading?

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

Can the Total Unit Stress in Eccentric Loading be negative?

Yes, the Total Unit Stress in Eccentric Loading, measured in Pressure can be negative.

Which unit is used to measure Total Unit Stress in Eccentric Loading?

Total Unit Stress in Eccentric Loading is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Total Unit Stress in Eccentric Loading can be measured.

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Total Unit Stress in Eccentric Loading Formula

Total Unit Stress in Eccentric Loading Example

Total Unit Stress in Eccentric Loading Solution

Total Unit Stress in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Total Unit Stress in Eccentric Loading?

FAQs on Total Unit Stress in Eccentric Loading

Variable Name