Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load Calculator

✖Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.ⓘ Maximum Bending Moment In Column [M]			+10% -10%
✖Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.ⓘ Distance from Neutral Axis to Extreme Point [c]			+10% -10%
✖Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.ⓘ Maximum Bending Stress [σb^max]			+10% -10%
✖Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.ⓘ Axial Thrust [P_axial]			+10% -10%
✖Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A_sectional]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load [I]

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Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))))
I = (M*c/((σb^max-(P_axial/A_sectional))))
This formula uses 6 Variables

Variables Used

Moment of Inertia - (Measured in Meter⁴) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.
Distance from Neutral Axis to Extreme Point - (Measured in Meter) - Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.
Axial Thrust - (Measured in Newton) - Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.
Cross Sectional Area - (Measured in Square Meter) - Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion here)
Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (M*c/((σb^max-(P_axial/A_sectional)))) --> (16*0.01/((2000000-(1500/1.4))))

Evaluating ... ...

I = 8.0042880114347E-08

STEP 3: Convert Result to Output's Unit

8.0042880114347E-08 Meter⁴ -->8.0042880114347 Centimeter⁴ (Check conversion here)

FINAL ANSWER

8.0042880114347 ≈ 8.004288 Centimeter⁴ <-- Moment of Inertia

(Calculation completed in 00.005 seconds)

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< Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load Calculators

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2)))

Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Deflection at Section of Column = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Axial Thrust

Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Axial Thrust = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Deflection at Section of Column

Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))

Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

What is Axial Thrust?

Axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction.

How to Calculate Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculator uses Moment of Inertia = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)))) to calculate the Moment of Inertia, The Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the strut's resistance to bending under the influence of a uniformly distributed load and an axial compressive force, providing a critical value for structural integrity. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c), Maximum Bending Stress (σb^max), Axial Thrust (P_axial) & Cross Sectional Area (A_sectional) and hit the calculate button. Here is how the Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 8E+8 = (16*0.01/((2000000-(1500/1.4)))).

FAQ

What is Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the strut's resistance to bending under the influence of a uniformly distributed load and an axial compressive force, providing a critical value for structural integrity and is represented as I = (M*c/((σb^max-(P_axial/A_sectional)))) or Moment of Inertia = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)))). Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point, Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load, Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation & Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.

How to calculate Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the strut's resistance to bending under the influence of a uniformly distributed load and an axial compressive force, providing a critical value for structural integrity is calculated using Moment of Inertia = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)))). To calculate Moment of Inertia given Maximum Stress for Strut Subjected to Uniformly Distributed Load, you need Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c), Maximum Bending Stress (σb^max), Axial Thrust (P_axial) & Cross Sectional Area (A_sectional). With our tool, you need to enter the respective value for Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Maximum Bending Stress, Axial Thrust & Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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