FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

Fx Copy

LaTeX Copy

Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it. Check FAQs

ε column = \frac{M}{σb max - (\frac{P axial}{A sectional})}

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

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

With values

With units

Only example

Here is how the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like.

8E-12 = \frac{16}{2 - (\frac{1500}{1.4})}

8E-12MPa = \frac{16N*m}{2MPa - (\frac{1500N}{1.4m²})}

8E-12 = \frac{16}{2 - (\frac{1500}{1.4})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load

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

Follow our step by step solution on how to calculate Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

ε column = \frac{M}{σb max - (\frac{P axial}{A sectional})}

Next Step Substitute values of Variables

∴

ε column = \frac{16N*m}{2MPa - (\frac{1500N}{1.4m²})}

Next Step Convert Units

∴

ε column = \frac{16N*m}{2E+6Pa - (\frac{1500N}{1.4m²})}

Next Step Prepare to Evaluate

∴

ε column = \frac{16}{2E+6 - (\frac{1500}{1.4})}

Next Step Evaluate

∴

ε column = 8.0042880114347E-06Pa

Next Step Convert to Output's Unit

∴

ε column = 8.0042880114347E-12MPa

LAST Step Rounding Answer

∴

ε column = 8E-12MPa

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

Variables

Modulus of Elasticity of Column

Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

Symbol: ε_column

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Column

Maximum Bending Moment In Column

Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.

Symbol: M

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment In Column

Maximum Bending Stress

Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

Axial Thrust

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.

Symbol: P_axial

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Thrust

Cross Sectional Area

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.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load category

Go Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load

M b = - (P axial \cdot δ) + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))

Go Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

P axial = \frac{- M b + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))}{δ}

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

δ = \frac{- M b + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))}{P axial}

Go Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load

q f = \frac{M b + (P axial \cdot δ)}{(\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})}

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

Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load evaluator uses Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)) to evaluate 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 evaluate Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The formula of Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load is expressed as Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)). Here is an example- 8E-18 = 16/(2000000-(1500/1.4)).

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

With Maximum Bending Moment In Column (M), Maximum Bending Stress (σb^max), Axial Thrust (P_axial) & Cross Sectional Area (A_sectional) we can find Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load using the formula - Modulus of Elasticity of Column = Maximum Bending Moment In Column/(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area)).

Can the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load be negative?

No, the Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load, measured in Pressure cannot be negative.

Which unit is used to measure Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Elastic Modulus given Maximum Stress for Strut Subjected to Uniformly Distributed Load can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

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

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

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

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load category

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

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

Variable Name