Maximum stress given elastic modulus for strut subjected to uniformly distributed load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)
σbmax = (Paxial/Asectional)+(M/εcolumn)
This formula uses 5 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Modulus of Elasticity Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σbmax = (Paxial/Asectional)+(M/εcolumn) --> (1500/1.4)+(16/10560000)
Evaluating ... ...
σbmax = 1071.42857294372
STEP 3: Convert Result to Output's Unit
1071.42857294372 Pascal -->0.00107142857294372 Megapascal (Check conversion here)
FINAL ANSWER
0.00107142857294372 0.001071 Megapascal <-- Maximum bending stress
(Calculation completed in 00.004 seconds)

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25 Strut Subjected To Compressive Axial Thrust And A Transverse Uniformly Distributed Load Calculators

Maximum deflection for strut subjected to compressive axial and uniformly distributed load
Go Maximum initial deflection = (Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(Load Intensity*(Column Length^2)/(8*Axial Thrust))
Load intensity given max deflection for strut subjected to uniformly distributed load
Go Load Intensity = Maximum initial deflection/((1*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(1*(Column Length^2)/(8*Axial Thrust)))
Maximum bending moment for strut subjected to compressive axial and uniformly distributed load
Go Maximum Bending Moment In Column = -Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)
Load intensity given max bending moment for strut subjected to uniformly distributed load
Go Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)
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
Length of column for strut subjected to compressive axial and uniformly distributed load
Go Column Length = (((Distance of deflection from end A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section))/Load Intensity))*2/Distance of deflection from end A
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))
Moment of inertia given maximum stress for strut subjected to uniformly distributed load
Go Moment of Inertia Column = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))))
Distance of extreme layer from NA given max stress for strut under uniformly distributed load
Go Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Maximum Bending Moment In Column)
Maximum bending moment given max stress for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Distance from Neutral Axis to Extreme Point)
Cross-sectional area given maximum stress for strut subjected to uniformly distributed load
Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))
Maximum stress for strut subjected to compressive axial and uniformly distributed load
Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column)
Axial thrust given maximum stress for strut subjected to uniformly distributed load
Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area
Length of column given max bending moment for strut subjected to uniformly distributed load
Go Column Length = sqrt(((Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))
Maximum bending moment given elastic modulus for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Modulus of Elasticity Column
Cross-sectional area given elastic modulus for strut subjected to uniformly distributed load
Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))
Maximum stress given elastic modulus for strut subjected to uniformly distributed load
Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)
Elastic modulus given maximum stress for strut subjected to uniformly distributed load
Go Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))
Axial thrust given elastic modulus for strut subjected to uniformly distributed load
Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))*Column Cross Sectional Area
Load intensity given maximum bending moment for strut subjected to uniformly distributed load
Go Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
Maximum deflection given max bending moment for strut subjected to uniformly distributed load
Go Maximum initial deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust)
Axial thrust given maximum bending moment for strut subjected to uniformly distributed load
Go Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum initial deflection)
Maximum bending moment given max deflection for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = -(Axial Thrust*Maximum initial deflection)-(Load Intensity*(Column Length^2)/8)

Maximum stress given elastic modulus for strut subjected to uniformly distributed load Formula

Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)
σbmax = (Paxial/Asectional)+(M/εcolumn)

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 Maximum stress given elastic modulus for strut subjected to uniformly distributed load?

Maximum stress given elastic modulus for strut subjected to uniformly distributed load calculator uses Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column) to calculate the Maximum bending stress, The Maximum stress given elastic modulus for strut subjected to uniformly distributed load formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Maximum bending stress is denoted by σbmax symbol.

How to calculate Maximum stress given elastic modulus for strut subjected to uniformly distributed load using this online calculator? To use this online calculator for Maximum stress given elastic modulus for strut subjected to uniformly distributed load, enter Axial Thrust (Paxial), Column Cross Sectional Area (Asectional), Maximum Bending Moment In Column (M) & Modulus of Elasticity Column column) and hit the calculate button. Here is how the Maximum stress given elastic modulus for strut subjected to uniformly distributed load calculation can be explained with given input values -> 1.1E-9 = (1500/1.4)+(16/10560000).

FAQ

What is Maximum stress given elastic modulus for strut subjected to uniformly distributed load?
The Maximum stress given elastic modulus for strut subjected to uniformly distributed load formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued and is represented as σbmax = (Paxial/Asectional)+(M/εcolumn) or Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column). 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, Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment & 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.
How to calculate Maximum stress given elastic modulus for strut subjected to uniformly distributed load?
The Maximum stress given elastic modulus for strut subjected to uniformly distributed load formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued is calculated using Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column). To calculate Maximum stress given elastic modulus for strut subjected to uniformly distributed load, you need Axial Thrust (Paxial), Column Cross Sectional Area (Asectional), Maximum Bending Moment In Column (M) & Modulus of Elasticity Column column). With our tool, you need to enter the respective value for Axial Thrust, Column Cross Sectional Area, Maximum Bending Moment In Column & Modulus of Elasticity 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 Maximum bending stress?
In this formula, Maximum bending stress uses Axial Thrust, Column Cross Sectional Area, Maximum Bending Moment In Column & Modulus of Elasticity Column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column)
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