Elastic modulus given maximum stress for strut subjected to uniformly distributed load Calculator

✖Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment In Column [M]			+10% -10%
✖Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum bending stress [σb^max]			+10% -10%
✖The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.ⓘ Axial Thrust [P_axial]			+10% -10%
✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%

✖Modulus of Elasticity Column is a quantity that measures an object or substance'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

Formula

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

Example

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

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

Variables Used

Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures an object or substance'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 absolute value of the maximum moment in the unbraced beam segment.
Maximum bending stress - (Measured in Pascal) - Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape 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
Column 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 Column

(Calculation completed in 00.020 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

Go Bending Moment in Column = -(Axial Thrust*Deflection at Section)+(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

Go Deflection at Section = (-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

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

Load intensity for strut subjected to compressive axial and uniformly distributed load

Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((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

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

What is axial thrust?

Axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction.

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 Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area)) to calculate the Modulus of Elasticity Column, The Elastic modulus given maximum stress for strut subjected to uniformly distributed load formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity 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) & Column 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 quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as ε_column = M/(σb^max-(P_axial/A_sectional)) or Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area)). Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment, Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend, The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material & Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape 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 quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column 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) & Column 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 & Column 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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