Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Calculator

✖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 [I]			+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 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 given Max Stress for Strut Subjected to Uniformly Distributed Load [M]

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Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Moment of Inertia: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (σb^max-(P_axial/A_sectional))*I/(c) --> (2000000-(1500/1.4))*5.6E-05/(0.01)

Evaluating ... ...

M = 11194

STEP 3: Convert Result to Output's Unit

11194 Newton Meter --> No Conversion Required

FINAL ANSWER

11194 Newton Meter <-- Maximum Bending Moment In Column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load » Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load

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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))

Maximum Bending Moment given Max 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 Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?

Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load calculator uses Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point) to calculate the Maximum Bending Moment In Column, The Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum moment that occurs in a strut when it is subjected to a combination of compressive axial thrust and a transverse uniformly distributed load, and is a critical parameter in determining the strut's structural integrity. Maximum Bending Moment In Column is denoted by M symbol.

How to calculate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Stress (σb^max), Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Moment of Inertia (I) & Distance from Neutral Axis to Extreme Point (c) and hit the calculate button. Here is how the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 11194 = (2000000-(1500/1.4))*5.6E-05/(0.01).

FAQ

What is Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?

The Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum moment that occurs in a strut when it is subjected to a combination of compressive axial thrust and a transverse uniformly distributed load, and is a critical parameter in determining the strut's structural integrity and is represented as M = (σb^max-(P_axial/A_sectional))*I/(c) or Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to 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, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.

How to calculate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?

The Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum moment that occurs in a strut when it is subjected to a combination of compressive axial thrust and a transverse uniformly distributed load, and is a critical parameter in determining the strut's structural integrity is calculated using Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point). To calculate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load, you need Maximum Bending Stress (σb^max), Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Moment of Inertia (I) & Distance from Neutral Axis to Extreme Point (c). With our tool, you need to enter the respective value for Maximum Bending Stress, Axial Thrust, Cross Sectional Area, Moment of Inertia & Distance from Neutral Axis to Extreme Point and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Bending Moment In Column?

In this formula, Maximum Bending Moment In Column uses Maximum Bending Stress, Axial Thrust, Cross Sectional Area, Moment of Inertia & Distance from Neutral Axis to Extreme Point. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Bending Moment In Column = -Load Intensity*(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1)
Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8)
Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Modulus of Elasticity of Column

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