Maximum Deflection 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 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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load [C]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
C = (q_f*(ε_column*I/(P_axial^2))*((sec((l_column/2)*(P_axial/(ε_column*I))))-1))-(q_f*(l_column^2)/(8*P_axial))
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 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.
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

C = (q_f*(ε_column*I/(P_axial^2))*((sec((l_column/2)*(P_axial/(ε_column*I))))-1))-(q_f*(l_column^2)/(8*P_axial)) --> (5000*(10560000*5.6E-05/(1500^2))*((sec((5/2)*(1500/(10560000*5.6E-05))))-1))-(5000*(5^2)/(8*1500))

Evaluating ... ...

C = -10.4144432728591

STEP 3: Convert Result to Output's Unit

-10.4144432728591 Meter -->-10414.4432728591 Millimeter (Check conversion here)

FINAL ANSWER

-10414.4432728591 ≈ -10414.443273 Millimeter <-- Maximum Initial Deflection

(Calculation completed in 00.020 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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load

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Created by Anshika Arya

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

Maximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculator uses 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)) to calculate the Maximum Initial Deflection, The Maximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum displacement of a strut under the simultaneous action of compressive axial force and uniformly distributed transverse load, providing a critical measure of the strut's stability and structural integrity. Maximum Initial Deflection is denoted by C symbol.

How to calculate Maximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Deflection 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 Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -10414443.272859 = (5000*(10560000*5.6E-05/(1500^2))*((sec((5/2)*(1500/(10560000*5.6E-05))))-1))-(5000*(5^2)/(8*1500)).

FAQ

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

The Maximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum displacement of a strut under the simultaneous action of compressive axial force and uniformly distributed transverse load, providing a critical measure of the strut's stability and structural integrity and is represented as C = (q_f*(ε_column*I/(P_axial^2))*((sec((l_column/2)*(P_axial/(ε_column*I))))-1))-(q_f*(l_column^2)/(8*P_axial)) or 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)). 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 Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The Maximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum displacement of a strut under the simultaneous action of compressive axial force and uniformly distributed transverse load, providing a critical measure of the strut's stability and structural integrity is calculated using 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)). To calculate Maximum Deflection 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 Initial Deflection?

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

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

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