Cross-Sectional Area given Elastic Modulus 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 Bending Stress is the highest stress experienced by a material subjected to a bending load.ⓘ Maximum Bending Stress [σb^max]			+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 In Column [M]			+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%

✖Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load [A_sectional]

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Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column))
A_sectional = P_axial/(σb^max-(M/ε_column))
This formula uses 5 Variables

Variables Used

Cross Sectional Area - (Measured in Square Meter) - Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.
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 Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = P_axial/(σb^max-(M/ε_column)) --> 1500/(2000000-(16/10560000))

Evaluating ... ...

A_sectional = 0.000750000000000568

STEP 3: Convert Result to Output's Unit

0.000750000000000568 Square Meter --> No Conversion Required

FINAL ANSWER

0.000750000000000568 ≈ 0.00075 Square Meter <-- Cross Sectional Area

(Calculation completed in 00.020 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))

Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load Formula

LaTeX Go

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column))
A_sectional = P_axial/(σb^max-(M/ε_column))

What is Elastic Modulus?

The Elastic Modulus (also known as the Modulus of Elasticity or Young's Modulus) is a measure of a material's ability to resist deformation under stress. It quantifies the stiffness of a material by defining the relationship between stress (force per unit area) and strain (deformation) in the elastic region of the material's stress-strain curve. In simpler terms, it tells us how much a material will deform (stretch or compress) when subjected to a given load within its elastic limit.

How to Calculate Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load?

Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load calculator uses Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column)) to calculate the Cross Sectional Area, The Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load formula is defined as a measure of the strut's ability to resist deformation under compressive axial thrust and transverse uniformly distributed load, providing a critical value for structural integrity and stability in engineering design. Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load, enter Axial Thrust (P_axial), Maximum Bending Stress (σb^max), Maximum Bending Moment In Column (M) & Modulus of Elasticity of Column (ε_column) and hit the calculate button. Here is how the Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load calculation can be explained with given input values -> 0.00075 = 1500/(2000000-(16/10560000)).

FAQ

What is Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load?

The Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load formula is defined as a measure of the strut's ability to resist deformation under compressive axial thrust and transverse uniformly distributed load, providing a critical value for structural integrity and stability in engineering design and is represented as A_sectional = P_axial/(σb^max-(M/ε_column)) or Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column)). 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 Bending Stress is the highest stress experienced by a material subjected to a bending load, Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric & Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

How to calculate Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load?

The Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load formula is defined as a measure of the strut's ability to resist deformation under compressive axial thrust and transverse uniformly distributed load, providing a critical value for structural integrity and stability in engineering design is calculated using Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column)). To calculate Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load, you need Axial Thrust (P_axial), Maximum Bending Stress (σb^max), Maximum Bending Moment In Column (M) & Modulus of Elasticity of Column (ε_column). With our tool, you need to enter the respective value for Axial Thrust, Maximum Bending Stress, Maximum Bending Moment In Column & Modulus of Elasticity of Column 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 Cross Sectional Area?

In this formula, Cross Sectional Area uses Axial Thrust, Maximum Bending Stress, Maximum Bending Moment In Column & Modulus of Elasticity of Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia))

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