Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Calculator

✖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%
✖Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.ⓘ Maximum Bending Stress [σb^max]			+10% -10%
✖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%
✖Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.ⓘ Distance from Neutral Axis to Extreme Point [c]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+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 given Maximum Stress for Strut Subjected to Uniformly Distributed Load [A_sectional]

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Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia))
A_sectional = P_axial/(σb^max-(M*c/I))
This formula uses 6 Variables

Variables Used

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.
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.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.
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
Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
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

A_sectional = P_axial/(σb^max-(M*c/I)) --> 1500/(2000000-(16*0.01/5.6E-05))

Evaluating ... ...

A_sectional = 0.000751072961373391

STEP 3: Convert Result to Output's Unit

0.000751072961373391 Square Meter --> No Conversion Required

FINAL ANSWER

0.000751072961373391 ≈ 0.000751 Square Meter <-- Cross Sectional Area

(Calculation completed in 00.020 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))

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia))
A_sectional = P_axial/(σb^max-(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 Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculator uses Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)) to calculate the Cross Sectional Area, The Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum stress a strut can withstand under a combination of axial compressive thrust and transverse uniformly distributed load, providing a critical value for structural integrity and safety assessments. Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load, enter Axial Thrust (P_axial), Maximum Bending Stress (σb^max), 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 Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 0.000751 = 1500/(2000000-(16*0.01/5.6E-05)).

FAQ

What is Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum stress a strut can withstand under a combination of axial compressive thrust and transverse uniformly distributed load, providing a critical value for structural integrity and safety assessments and is represented as A_sectional = P_axial/(σb^max-(M*c/I)) or Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(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, Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load, 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 Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum stress a strut can withstand under a combination of axial compressive thrust and transverse uniformly distributed load, providing a critical value for structural integrity and safety assessments is calculated using Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)). To calculate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load, you need Axial Thrust (P_axial), Maximum Bending Stress (σb^max), 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, Maximum Bending Stress, 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 Cross Sectional Area?

In this formula, Cross Sectional Area uses Axial Thrust, Maximum Bending Stress, 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 -

Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column))

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