Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Calculator

✖Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment in Column [M_b]			+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%
✖Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.ⓘ Bending Stress in Column [σ_b]			+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%

✖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 given Bending Stress for Strut with Axial and Transverse Point Load [A_sectional]

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Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_sectional = (M_b*c)/(σ_b*(k^2))
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.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend.
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.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion here)
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Least Radius of Gyration of Column: 2.9277 Millimeter --> 0.0029277 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = (M_b*c)/(σ_b*(k^2)) --> (48*0.01)/(40000*(0.0029277^2))

Evaluating ... ...

A_sectional = 1.40000020930003

STEP 3: Convert Result to Output's Unit

1.40000020930003 Square Meter --> No Conversion Required

FINAL ANSWER

1.40000020930003 ≈ 1.4 Square Meter <-- Column Cross Sectional Area

(Calculation completed in 00.008 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 given Bending Stress for Strut with Axial and Transverse 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 given Bending Stress for Strut with Axial and Transverse Point Load Formula

LaTeX Go

What is Transverse Point Loading?

Transverse loading is a load applied vertically to the plane of the longitudinal axis of a configuration, such as a wind load. It causes the material to bend and rebound from its original position, with inner tensile and compressive straining associated with the change in curvature of the material.

How to Calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load calculator uses 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)) to calculate the Column Cross Sectional Area, The Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load formula is defined as a measure of the strut's ability to resist deformation under the combined effect of axial compressive thrust and transverse point load, providing a critical design parameter for structural integrity. Column Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load using this online calculator? To use this online calculator for Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load, enter Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Bending Stress in Column (σ_b) & Least Radius of Gyration of Column (k) and hit the calculate button. Here is how the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load calculation can be explained with given input values -> 0.005428 = (48*0.01)/(40000*(0.0029277^2)).

FAQ

What is Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

The Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load formula is defined as a measure of the strut's ability to resist deformation under the combined effect of axial compressive thrust and transverse point load, providing a critical design parameter for structural integrity and is represented as A_sectional = (M_b*c)/(σ_b*(k^2)) or 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)). Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point, Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend & Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.

How to calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

The Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load formula is defined as a measure of the strut's ability to resist deformation under the combined effect of axial compressive thrust and transverse point load, providing a critical design parameter for structural integrity is calculated using 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)). To calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load, you need Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Bending Stress in Column (σ_b) & Least Radius of Gyration of Column (k). With our tool, you need to enter the respective value for Bending Moment in Column, Distance from Neutral Axis to Extreme Point, Bending Stress in Column & Least Radius of Gyration of 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 Column Cross Sectional Area?

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

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)
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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