Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load Calculator

✖Load Intensity is the distribution of load over a certain area or length of a structural element.ⓘ Load Intensity [q_f]			+10% -10%
✖Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity of Column [ε_column]			+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%
✖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%
✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l_column]			+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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load [M]

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Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
M = -q_f*(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1)
This formula uses 1 Functions, 6 Variables

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)

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.
Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
Modulus of Elasticity of Column - (Measured in Pascal) - Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.
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.
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.
Column Length - (Measured in Meter) - Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

STEP 1: Convert Input(s) to Base Unit

Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Moment of Inertia: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = -q_f*(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1) --> -5000*(10560000*5.6E-05/1500)*((sec((5/2)*(1500/(10560000*5.6E-05))))-1)

Evaluating ... ...

M = -3.33509071134627

STEP 3: Convert Result to Output's Unit

-3.33509071134627 Newton Meter --> No Conversion Required

FINAL ANSWER

-3.33509071134627 ≈ -3.335091 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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load

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National Institute Of Technology (NIT), Hamirpur

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

Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculator uses 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) to calculate the Maximum Bending Moment In Column, The Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs in a strut when it is subjected to both compressive axial force and a transverse uniformly distributed load, which can cause the strut to bend and potentially fail. Maximum Bending Moment In Column is denoted by M symbol.

How to calculate Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Load Intensity (q_f), Modulus of Elasticity of Column (ε_column), Moment of Inertia (I), Axial Thrust (P_axial) & Column Length (l_column) and hit the calculate button. Here is how the Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -3.335091 = -5000*(10560000*5.6E-05/1500)*((sec((5/2)*(1500/(10560000*5.6E-05))))-1).

FAQ

What is Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs in a strut when it is subjected to both compressive axial force and a transverse uniformly distributed load, which can cause the strut to bend and potentially fail and is represented as M = -q_f*(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1) or 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). Load Intensity is the distribution of load over a certain area or length of a structural element, Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, 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 & Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

How to calculate Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs in a strut when it is subjected to both compressive axial force and a transverse uniformly distributed load, which can cause the strut to bend and potentially fail is calculated using 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). To calculate Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load, you need Load Intensity (q_f), Modulus of Elasticity of Column (ε_column), Moment of Inertia (I), Axial Thrust (P_axial) & Column Length (l_column). With our tool, you need to enter the respective value for Load Intensity, Modulus of Elasticity of Column, Moment of Inertia, Axial Thrust & Column Length 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 Load Intensity, Modulus of Elasticity of Column, Moment of Inertia, Axial Thrust & Column Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point)
Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Modulus of Elasticity of Column

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