Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load Calculator

✖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.ⓘ Column Cross Sectional Area [A_sectional]			+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 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 of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load [c]

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Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Least Radius of Gyration of Column: 2.9277 Millimeter --> 0.0029277 Meter (Check conversion here)
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = σb^max*(A_sectional*(k^2))/(M_max) --> 2000000*(1.4*(0.0029277^2))/(16)

Evaluating ... ...

c = 1.49999977575

STEP 3: Convert Result to Output's Unit

1.49999977575 Meter -->1499.99977575 Millimeter (Check conversion here)

FINAL ANSWER

1499.99977575 ≈ 1500 Millimeter <-- Distance from Neutral Axis to Extreme Point

(Calculation completed in 00.020 seconds)

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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)

Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with 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 Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load?

Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load calculator uses Distance from Neutral Axis to Extreme Point = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Maximum Bending Moment In Column) to calculate the Distance from Neutral Axis to Extreme Point, The Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load formula is defined as the calculation that determines the distance of the extreme layer from the neutral axis in a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to calculate Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load using this online calculator? To use this online calculator for Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load, enter Maximum Bending Stress (σb^max), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Maximum Bending Moment In Column (M_max) and hit the calculate button. Here is how the Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load calculation can be explained with given input values -> 3.9E+8 = 2000000*(1.4*(0.0029277^2))/(16).

FAQ

What is Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load?

The Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load formula is defined as the calculation that determines the distance of the extreme layer from the neutral axis in a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis and is represented as c = σb^max*(A_sectional*(k^2))/(M_max) or Distance from Neutral Axis to Extreme Point = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Maximum Bending Moment In Column). 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, 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, Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis & Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads.

How to calculate Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load?

The Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load formula is defined as the calculation that determines the distance of the extreme layer from the neutral axis in a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis is calculated using Distance from Neutral Axis to Extreme Point = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Maximum Bending Moment In Column). To calculate Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load, you need Maximum Bending Stress (σb^max), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Maximum Bending Moment In Column (M_max). With our tool, you need to enter the respective value for Maximum Bending Stress, Column Cross Sectional Area, Least Radius of Gyration of Column & Maximum Bending Moment In 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 Distance from Neutral Axis to Extreme Point?

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

Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column)
Distance from Neutral Axis to Extreme Point = (Maximum Bending Stress-(Column Compressive Load/Column Cross Sectional Area))*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/((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)))))))

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