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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Deflection at Section of Column - (Measured in Meter) - Deflection at Section of Column is the lateral displacement at the section of the column.
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.
Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
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.
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

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Load Intensity: 0.005 Megapascal --> 5000 Pascal (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)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (-M_b+(q_f*(((x^2)/2)-(l_column*x/2))))/P_axial --> (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/1500

Evaluating ... ...

δ = -0.321625

STEP 3: Convert Result to Output's Unit

-0.321625 Meter -->-321.625 Millimeter (Check conversion here)

FINAL ANSWER

-321.625 Millimeter <-- Deflection at Section of Column

(Calculation completed in 00.008 seconds)

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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))

Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

LaTeX Go

What is Compressive Axial Load?

A Compressive Axial Load is a force applied along the axis of a structural element, such as a column, beam, or strut, which tends to shorten or compress the member. It is a type of load that acts uniformly in the same direction as the longitudinal axis of the element, resulting in compressive stresses throughout the material. This load causes the member to reduce in length, and if the load is high enough, it can lead to failure by crushing, buckling, or other modes of compressive failure.

How to Calculate Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculator uses 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 to calculate the Deflection at Section of Column, The Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as a measure of the lateral displacement of a strut under the combined effect of axial compressive force and uniformly distributed transverse load, providing insight into the strut's behavior and stability. Deflection at Section of Column is denoted by δ symbol.

How to calculate Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Bending Moment in Column (M_b), Load Intensity (q_f), Distance of Deflection from End A (x), Column Length (l_column) & Axial Thrust (P_axial) and hit the calculate button. Here is how the Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -321625 = (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/1500.

FAQ

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

The Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as a measure of the lateral displacement of a strut under the combined effect of axial compressive force and uniformly distributed transverse load, providing insight into the strut's behavior and stability and is represented as δ = (-M_b+(q_f*(((x^2)/2)-(l_column*x/2))))/P_axial or 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. 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, Load Intensity is the distribution of load over a certain area or length of a structural element, 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 & 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 Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as a measure of the lateral displacement of a strut under the combined effect of axial compressive force and uniformly distributed transverse load, providing insight into the strut's behavior and stability is calculated using 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. To calculate Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load, you need Bending Moment in Column (M_b), Load Intensity (q_f), Distance of Deflection from End A (x), Column Length (l_column) & Axial Thrust (P_axial). With our tool, you need to enter the respective value for Bending Moment in Column, Load Intensity, Distance of Deflection from End A, 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.

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