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))
Asectional = Paxial/(σbmax-(M/εcolumn))
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
Asectional = Paxial/(σbmax-(M/εcolumn)) --> 1500/(2000000-(16/10560000))
Evaluating ... ...
Asectional = 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))
Asectional = Paxial/(σbmax-(M/εcolumn))

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 Asectional 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 (Paxial), Maximum Bending Stress (σbmax), Maximum Bending Moment In Column (M) & Modulus of Elasticity of Column 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 Asectional = Paxial/(σbmax-(M/εcolumn)) 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 (Paxial), Maximum Bending Stress (σbmax), Maximum Bending Moment In Column (M) & Modulus of Elasticity of Column 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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