Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Calculator

✖Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the column, causing it to bend.ⓘ Bending Moment in Column [M_b]			+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%
✖Deflection at Section of Column is the lateral displacement at the section of the column.ⓘ Deflection at Section of Column [δ]			+10% -10%
✖Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A.ⓘ Distance of Deflection from End A [x]			+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%

✖Load Intensity is the distribution of load over a certain area or length of a structural element.ⓘ Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load [q_f]

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Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
q_f = (M_b+(P_axial*δ))/(((x^2)/2)-(l_column*x/2))
This formula uses 6 Variables

Variables Used

Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the column, causing it to bend.
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.
Deflection at Section of Column - (Measured in Meter) - Deflection at Section of Column is the lateral displacement at the section of the column.
Distance of Deflection from End A - (Measured in Meter) - Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A.
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

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Deflection at Section of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)
Distance of Deflection from End A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_f = (M_b+(P_axial*δ))/(((x^2)/2)-(l_column*x/2)) --> (48+(1500*0.012))/(((0.035^2)/2)-(5*0.035/2))

Evaluating ... ...

q_f = -759.602934829521

STEP 3: Convert Result to Output's Unit

-759.602934829521 Pascal -->-0.000759602934829521 Megapascal (Check conversion here)

FINAL ANSWER

-0.000759602934829521 ≈ -0.00076 Megapascal <-- Load Intensity

(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 » Load Intensity 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))

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

Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculator uses 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)) to calculate the Load Intensity, The Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum weight or force that a strut can withstand without collapsing or deforming, taking into account the compressive axial force and the uniformly distributed load applied to it. Load Intensity is denoted by q_f symbol.

How to calculate Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section of Column (δ), Distance of Deflection from End A (x) & Column Length (l_column) and hit the calculate button. Here is how the Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -7.6E-10 = (48+(1500*0.012))/(((0.035^2)/2)-(5*0.035/2)).

FAQ

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

The Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum weight or force that a strut can withstand without collapsing or deforming, taking into account the compressive axial force and the uniformly distributed load applied to it and is represented as q_f = (M_b+(P_axial*δ))/(((x^2)/2)-(l_column*x/2)) or 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)). Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the column, causing it to bend, 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, Deflection at Section of Column is the lateral displacement at the section of the column, Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A & 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 Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum weight or force that a strut can withstand without collapsing or deforming, taking into account the compressive axial force and the uniformly distributed load applied to it is calculated using 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)). To calculate Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load, you need Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section of Column (δ), Distance of Deflection from End A (x) & Column Length (l_column). With our tool, you need to enter the respective value for Bending Moment in Column, Axial Thrust, Deflection at Section of Column, Distance of Deflection from End A & 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 Load Intensity?

In this formula, Load Intensity uses Bending Moment in Column, Axial Thrust, Deflection at Section of Column, Distance of Deflection from End A & Column Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Load Intensity = Maximum Bending Moment In Column/(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 = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
Load Intensity = Maximum Initial Deflection/((1*(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))-(1*(Column Length^2)/(8*Axial Thrust)))

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