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

✖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%
✖Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.ⓘ Maximum Initial Deflection [C]			+10% -10%
✖Load Intensity is the distribution of load over a certain area or length of a structural element.ⓘ Load Intensity [q_f]			+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 given Max Deflection for Strut Subjected to Uniformly Distributed Load [M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8)
M = -(P_axial*C)-(q_f*(l_column^2)/8)
This formula uses 5 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.
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.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.
Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
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

Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Maximum Initial Deflection: 30 Millimeter --> 0.03 Meter (Check conversion here)
Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = -(P_axial*C)-(q_f*(l_column^2)/8) --> -(1500*0.03)-(5000*(5^2)/8)

Evaluating ... ...

M = -15670

STEP 3: Convert Result to Output's Unit

-15670 Newton Meter --> No Conversion Required

FINAL ANSWER

-15670 Newton Meter <-- Maximum Bending Moment In Column

(Calculation completed in 00.020 seconds)

You are here -

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 Deflection for Strut Subjected to Uniformly Distributed Load

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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 Deflection for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8)
M = -(P_axial*C)-(q_f*(l_column^2)/8)

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 Deflection for Strut Subjected to Uniformly Distributed Load?

Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load calculator uses Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8) to calculate the Maximum Bending Moment In Column, The Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum bending stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing insight into the strut's structural integrity. Maximum Bending Moment In Column is denoted by M symbol.

How to calculate Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load, enter Axial Thrust (P_axial), Maximum Initial Deflection (C), Load Intensity (q_f) & Column Length (l_column) and hit the calculate button. Here is how the Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> -15670 = -(1500*0.03)-(5000*(5^2)/8).

FAQ

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

The Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum bending stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing insight into the strut's structural integrity and is represented as M = -(P_axial*C)-(q_f*(l_column^2)/8) or Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8). 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, Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied, Load Intensity is the distribution of load over a certain area or length of a structural element & 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 given Max Deflection for Strut Subjected to Uniformly Distributed Load?

The Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum bending stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing insight into the strut's structural integrity is calculated using Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8). To calculate Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load, you need Axial Thrust (P_axial), Maximum Initial Deflection (C), Load Intensity (q_f) & Column Length (l_column). With our tool, you need to enter the respective value for Axial Thrust, Maximum Initial Deflection, Load Intensity & 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 Axial Thrust, Maximum Initial Deflection, Load Intensity & Column Length. 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 = (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

Home

FREE PDFs

🔍 Search