Maximum Deflection given Max Bending Moment 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%
✖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%
✖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 Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load [C]

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

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Initial Deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust)
C = (-M-(q_f*(l_column^2)/8))/(P_axial)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (-M-(q_f*(l_column^2)/8))/(P_axial) --> (-16-(5000*(5^2)/8))/(1500)

Evaluating ... ...

C = -10.4273333333333

STEP 3: Convert Result to Output's Unit

-10.4273333333333 Meter -->-10427.3333333333 Millimeter (Check conversion here)

FINAL ANSWER

-10427.3333333333 ≈ -10427.333333 Millimeter <-- Maximum Initial Deflection

(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 Deflection given Max Bending Moment 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 Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

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

What is Axial Thrust?

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

How to Calculate Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculator uses Maximum Initial Deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust) to calculate the Maximum Initial Deflection, The Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum deformation of a strut under the combined effect of compressive axial thrust and transverse uniformly distributed load, providing insight into the strut's structural integrity and stability. Maximum Initial Deflection is denoted by C symbol.

How to calculate Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Moment In Column (M), Load Intensity (q_f), Column Length (l_column) & Axial Thrust (P_axial) and hit the calculate button. Here is how the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> -10427333.333333 = (-16-(5000*(5^2)/8))/(1500).

FAQ

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

The Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum deformation of a strut under the combined effect of compressive axial thrust and transverse uniformly distributed load, providing insight into the strut's structural integrity and stability and is represented as C = (-M-(q_f*(l_column^2)/8))/(P_axial) or Maximum Initial Deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust). 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 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 & 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.

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

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

In this formula, Maximum Initial Deflection uses Maximum Bending Moment In Column, Load Intensity, Column Length & Axial Thrust. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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