Total Stress in Eccentric Loading when Load doesn't lie on Plane Formula

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Total Stress is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Check FAQs
σtotal=(PAcs)+(exPcxIy)+(eyPcyIx)
σtotal - Total Stress?P - Axial Load?Acs - Cross-Sectional Area?ex - Eccentricity with respect to Principal Axis YY?cx - Distance from YY to Outermost Fiber?Iy - Moment of Inertia about Y-Axis?ey - Eccentricity with respect to Principal Axis XX?cy - Distance from XX to Outermost Fiber?Ix - Moment of Inertia about X-Axis?

Total Stress in Eccentric Loading when Load doesn't lie on Plane Example

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Here is how the Total Stress in Eccentric Loading when Load doesn't lie on Plane equation looks like with Values.

Here is how the Total Stress in Eccentric Loading when Load doesn't lie on Plane equation looks like with Units.

Here is how the Total Stress in Eccentric Loading when Load doesn't lie on Plane equation looks like.

14.8132Edit=(9.99Edit13Edit)+(4Edit9.99Edit15Edit50Edit)+(0.75Edit9.99Edit14Edit51Edit)
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Total Stress in Eccentric Loading when Load doesn't lie on Plane Solution

Follow our step by step solution on how to calculate Total Stress in Eccentric Loading when Load doesn't lie on Plane?

FIRST Step Consider the formula
σtotal=(PAcs)+(exPcxIy)+(eyPcyIx)
Next Step Substitute values of Variables
σtotal=(9.99kN13)+(49.99kN15mm50kg·m²)+(0.759.99kN14mm51kg·m²)
Next Step Prepare to Evaluate
σtotal=(9.9913)+(49.991550)+(0.759.991451)
Next Step Evaluate
σtotal=14.8132262443439Pa
LAST Step Rounding Answer
σtotal=14.8132Pa

Total Stress in Eccentric Loading when Load doesn't lie on Plane Formula Elements

Variables
Total Stress
Total Stress is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain.
Symbol: σtotal
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
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.
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: Acs
Measurement: AreaUnit:
Note: Value should be greater than 0.
Eccentricity with respect to Principal Axis YY
Eccentricity with respect to Principal Axis YY can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio.
Symbol: ex
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Distance from YY to Outermost Fiber
Distance from YY to Outermost Fiber is defined as the distance in between the Neutral Axis and Outermost Fiber.
Symbol: cx
Measurement: LengthUnit: mm
Note: Value can be positive or negative.
Moment of Inertia about Y-Axis
Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.
Symbol: Iy
Measurement: Moment of InertiaUnit: kg·m²
Note: Value should be greater than 0.
Eccentricity with respect to Principal Axis XX
Eccentricity with respect to Principal Axis XX can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio.
Symbol: ey
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Distance from XX to Outermost Fiber
Distance from XX to Outermost Fiber is defined as the distance in between the Neutral Axis and Outermost Fiber.
Symbol: cy
Measurement: LengthUnit: mm
Note: Value can be positive or negative.
Moment of Inertia about X-Axis
Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.
Symbol: Ix
Measurement: Moment of InertiaUnit: kg·m²
Note: Value should be greater than 0.

Other formulas in Eccentric Loading category

​Go Total Unit Stress in Eccentric Loading
f=(PAcs)+(PceIneutral)
​Go Cross-Sectional Area given Total Unit Stress in Eccentric Loading
Acs=Pf-((PceIneutral))

How to Evaluate Total Stress in Eccentric Loading when Load doesn't lie on Plane?

Total Stress in Eccentric Loading when Load doesn't lie on Plane evaluator uses Total Stress = (Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis)) to evaluate the Total Stress, The Total Stress in Eccentric Loading when Load doesn't lie on Plane formula is defined as the total force per unit area acting within a mass of soil. It is the sum of neutral and effective stresses. Total Stress is denoted by σtotal symbol.

How to evaluate Total Stress in Eccentric Loading when Load doesn't lie on Plane using this online evaluator? To use this online evaluator for Total Stress in Eccentric Loading when Load doesn't lie on Plane, enter Axial Load (P), Cross-Sectional Area (Acs), Eccentricity with respect to Principal Axis YY (ex), Distance from YY to Outermost Fiber (cx), Moment of Inertia about Y-Axis (Iy), Eccentricity with respect to Principal Axis XX (ey), Distance from XX to Outermost Fiber (cy) & Moment of Inertia about X-Axis (Ix) and hit the calculate button.

FAQs on Total Stress in Eccentric Loading when Load doesn't lie on Plane

What is the formula to find Total Stress in Eccentric Loading when Load doesn't lie on Plane?
The formula of Total Stress in Eccentric Loading when Load doesn't lie on Plane is expressed as Total Stress = (Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis)). Here is an example- 14.81323 = (9990/13)+((4*9990*0.015)/(50))+((0.75*9990*0.014)/(51)).
How to calculate Total Stress in Eccentric Loading when Load doesn't lie on Plane?
With Axial Load (P), Cross-Sectional Area (Acs), Eccentricity with respect to Principal Axis YY (ex), Distance from YY to Outermost Fiber (cx), Moment of Inertia about Y-Axis (Iy), Eccentricity with respect to Principal Axis XX (ey), Distance from XX to Outermost Fiber (cy) & Moment of Inertia about X-Axis (Ix) we can find Total Stress in Eccentric Loading when Load doesn't lie on Plane using the formula - Total Stress = (Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis)).
Can the Total Stress in Eccentric Loading when Load doesn't lie on Plane be negative?
No, the Total Stress in Eccentric Loading when Load doesn't lie on Plane, measured in Pressure cannot be negative.
Which unit is used to measure Total Stress in Eccentric Loading when Load doesn't lie on Plane?
Total Stress in Eccentric Loading when Load doesn't lie on Plane 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 Stress in Eccentric Loading when Load doesn't lie on Plane can be measured.
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