Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Calculator

✖Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads.ⓘ Maximum Bending Moment In Column [M_max]			+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%
✖Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.ⓘ Least Radius of Gyration of Column [k]			+10% -10%
✖Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.ⓘ Maximum Bending Stress [σb^max]			+10% -10%

✖Column Cross Sectional Area 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 if Maximum Bending Moment is given for Strut with Axial and Point Load [A_sectional]

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Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Cross Sectional Area = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration of Column^2)*Maximum Bending Stress)
A_sectional = (M_max*c)/((k^2)*σb^max)
This formula uses 5 Variables

Variables Used

Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area 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 moment of force that causes the column to bend or deform under applied loads.
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.
Least Radius of Gyration of Column - (Measured in Meter) - Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.

STEP 1: Convert Input(s) to Base Unit

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)
Least Radius of Gyration of Column: 2.9277 Millimeter --> 0.0029277 Meter (Check conversion here)
Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = (M_max*c)/((k^2)*σb^max) --> (16*0.01)/((0.0029277^2)*2000000)

Evaluating ... ...

A_sectional = 0.00933333472866687

STEP 3: Convert Result to Output's Unit

0.00933333472866687 Square Meter --> No Conversion Required

FINAL ANSWER

0.00933333472866687 ≈ 0.009333 Square Meter <-- Column Cross Sectional Area

(Calculation completed in 00.004 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 Point Load at the Centre » Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load

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< Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre Calculators

Deflection at Section for Strut with Axial and Transverse Point Load at Center

LaTeX Go Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load)

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center

LaTeX Go Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section)

Transverse Point Load for Strut with Axial and Transverse Point Load at Center

LaTeX Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Distance of Deflection from end A)

Bending Moment at Section for Strut with Axial and Transverse Point Load at Center

LaTeX Go Bending Moment in Column = -(Column Compressive Load*Deflection at Column Section)-(Greatest Safe Load*Distance of Deflection from end A/2)

Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Formula

LaTeX Go

What is Bending Moment?

A Bending Moment is a measure of the bending effect due to forces acting on a structural element, such as a beam, that causes it to bend. It is defined as the product of a force and the perpendicular distance from the point of interest to the line of action of the force. The bending moment reflects how much a beam or other structural member is likely to bend or rotate due to external forces applied to it.

How to Calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load calculator uses Column Cross Sectional Area = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration of Column^2)*Maximum Bending Stress) to calculate the Column Cross Sectional Area, The Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a measure of the size of the cross-section of a strut that can withstand a given maximum bending moment when subjected to both compressive axial thrust and a transverse point load at the center. Column Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load using this online calculator? To use this online calculator for Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load, enter Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Least Radius of Gyration of Column (k) & Maximum Bending Stress (σb^max) and hit the calculate button. Here is how the Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load calculation can be explained with given input values -> 3.6E-5 = (16*0.01)/((0.0029277^2)*2000000).

FAQ

What is Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

The Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a measure of the size of the cross-section of a strut that can withstand a given maximum bending moment when subjected to both compressive axial thrust and a transverse point load at the center and is represented as A_sectional = (M_max*c)/((k^2)*σb^max) or Column Cross Sectional Area = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration of Column^2)*Maximum Bending Stress). Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point, Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis & Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.

How to calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

The Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a measure of the size of the cross-section of a strut that can withstand a given maximum bending moment when subjected to both compressive axial thrust and a transverse point load at the center is calculated using Column Cross Sectional Area = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration of Column^2)*Maximum Bending Stress). To calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load, you need Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Least Radius of Gyration of Column (k) & Maximum Bending Stress (σb^max). With our tool, you need to enter the respective value for Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Least Radius of Gyration of Column & Maximum Bending Stress 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 Column Cross Sectional Area?

In this formula, Column Cross Sectional Area uses Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Least Radius of Gyration of Column & Maximum Bending Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Column Cross Sectional Area = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration of Column^2))
Column Cross Sectional Area = (Column Compressive Load/Maximum Bending Stress)+((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))))))*(Distance from Neutral Axis to Extreme Point)/(Maximum Bending Stress*(Least Radius of Gyration of Column^2)))

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