Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)
σbmax = (Paxial/Asectional)+(M*c/I)
This formula uses 6 Variables
Variables Used
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.
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.
Distance from Neutral Axis to Extreme Point - (Measured in Meter) - Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
Moment of Inertia - (Measured in Meter⁴) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
STEP 1: Convert Input(s) to Base Unit
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
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
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion ​here)
Moment of Inertia: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σbmax = (Paxial/Asectional)+(M*c/I) --> (1500/1.4)+(16*0.01/5.6E-05)
Evaluating ... ...
σbmax = 3928.57142857143
STEP 3: Convert Result to Output's Unit
3928.57142857143 Pascal -->0.00392857142857143 Megapascal (Check conversion ​here)
FINAL ANSWER
0.00392857142857143 0.003929 Megapascal <-- Maximum Bending Stress
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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))

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

​LaTeX ​Go
Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)
σbmax = (Paxial/Asectional)+(M*c/I)

What is Axial Thrust?

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

How to Calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculator uses Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia) to calculate the Maximum Bending Stress, The Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum stress experienced by a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing a critical value for structural integrity assessment. Maximum Bending Stress is denoted by σbmax symbol.

How to calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Axial Thrust (Paxial), Cross Sectional Area (Asectional), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c) & Moment of Inertia (I) and hit the calculate button. Here is how the Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> 3.9E-9 = (1500/1.4)+(16*0.01/5.6E-05).

FAQ

What is Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?
The Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum stress experienced by a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing a critical value for structural integrity assessment and is represented as σbmax = (Paxial/Asectional)+(M*c/I) or Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia). 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, Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
How to calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?
The Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum stress experienced by a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing a critical value for structural integrity assessment is calculated using Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia). To calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load, you need Axial Thrust (Paxial), Cross Sectional Area (Asectional), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c) & Moment of Inertia (I). With our tool, you need to enter the respective value for Axial Thrust, Cross Sectional Area, Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point & Moment of Inertia 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, Cross Sectional Area, Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point & Moment of Inertia. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity of Column)
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