Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))
εcolumn = M/(σbmax-(Paxial/Asectional))
This formula uses 5 Variables
Variables Used
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.
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.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion ​here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εcolumn = M/(σbmax-(Paxial/Asectional)) --> 16/(2000000-(1500/1.4))
Evaluating ... ...
εcolumn = 8.0042880114347E-06
STEP 3: Convert Result to Output's Unit
8.0042880114347E-06 Pascal -->8.0042880114347E-12 Megapascal (Check conversion ​here)
FINAL ANSWER
8.0042880114347E-12 8E-12 Megapascal <-- Modulus of Elasticity of Column
(Calculation completed in 00.004 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))

Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula

​LaTeX ​Go
Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))
εcolumn = M/(σbmax-(Paxial/Asectional))

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 Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculator uses Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)) to calculate the Modulus of Elasticity of Column, The Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the stiffness of a strut under compressive axial thrust and transverse uniformly distributed load, providing a way to calculate the maximum stress that a strut can withstand before deforming or failing. Modulus of Elasticity of Column is denoted by εcolumn symbol.

How to calculate Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Moment In Column (M), Maximum Bending Stress (σbmax), Axial Thrust (Paxial) & Cross Sectional Area (Asectional) and hit the calculate button. Here is how the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 8E-18 = 16/(2000000-(1500/1.4)).

FAQ

What is Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?
The Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the stiffness of a strut under compressive axial thrust and transverse uniformly distributed load, providing a way to calculate the maximum stress that a strut can withstand before deforming or failing and is represented as εcolumn = M/(σbmax-(Paxial/Asectional)) or Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)). 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 Stress is the highest stress experienced by a material subjected to a bending load, 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 & 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.
How to calculate Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?
The Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the stiffness of a strut under compressive axial thrust and transverse uniformly distributed load, providing a way to calculate the maximum stress that a strut can withstand before deforming or failing is calculated using Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)). To calculate Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load, you need Maximum Bending Moment In Column (M), Maximum Bending Stress (σbmax), Axial Thrust (Paxial) & Cross Sectional Area (Asectional). With our tool, you need to enter the respective value for Maximum Bending Moment In Column, Maximum Bending Stress, Axial Thrust & Cross Sectional Area 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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