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

✖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%
✖Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.ⓘ Maximum Bending Stress [σb^max]			+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%
✖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 [A_sectional]			+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.ⓘ Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load [ε_column]

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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))
ε_column = M/(σb^max-(P_axial/A_sectional))
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

ε_column = M/(σb^max-(P_axial/A_sectional)) --> 16/(2000000-(1500/1.4))

Evaluating ... ...

ε_column = 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 00.021 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 » Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load

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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))
ε_column = M/(σb^max-(P_axial/A_sectional))

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 ε_column 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 (σb^max), Axial Thrust (P_axial) & Cross Sectional Area (A_sectional) 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 ε_column = M/(σb^max-(P_axial/A_sectional)) 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 (σb^max), Axial Thrust (P_axial) & Cross Sectional Area (A_sectional). 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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