Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and 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%
✖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%

✖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 if Maximum Bending Stress is given for Strut with Axial and Point Load [M_max]

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Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_max = σb^max*(A_sectional*(k^2))/(c) --> 2000000*(1.4*(0.0029277^2))/(0.01)

Evaluating ... ...

M_max = 2399.9996412

STEP 3: Convert Result to Output's Unit

2399.9996412 Newton Meter --> No Conversion Required

FINAL ANSWER

2399.9996412 ≈ 2400 Newton Meter <-- Maximum Bending Moment In Column

(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 » Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load

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National Institute Of Technology (NIT), Hamirpur

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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)

Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and 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 Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load?

Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load calculator uses Maximum Bending Moment In Column = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point) to calculate the Maximum Bending Moment In Column, The Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load formula is defined as the maximum turning force that causes bending in a strut when it is subjected to compressive axial thrust and a transverse point load at the center, which is critical in determining the strut's structural integrity. Maximum Bending Moment In Column is denoted by M_max symbol.

How to calculate Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load using this online calculator? To use this online calculator for Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load, enter Maximum Bending Stress (σb^max), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Distance from Neutral Axis to Extreme Point (c) and hit the calculate button. Here is how the Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load calculation can be explained with given input values -> 619046.5 = 2000000*(1.4*(0.0029277^2))/(0.01).

FAQ

What is Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load?

The Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load formula is defined as the maximum turning force that causes bending in a strut when it is subjected to compressive axial thrust and a transverse point load at the center, which is critical in determining the strut's structural integrity and is represented as M_max = σb^max*(A_sectional*(k^2))/(c) or Maximum Bending Moment In Column = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point). 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 & Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.

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

The Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load formula is defined as the maximum turning force that causes bending in a strut when it is subjected to compressive axial thrust and a transverse point load at the center, which is critical in determining the strut's structural integrity is calculated using Maximum Bending Moment In Column = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point). To calculate Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load, you need Maximum Bending Stress (σb^max), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Distance from Neutral Axis to Extreme Point (c). With our tool, you need to enter the respective value for Maximum Bending Stress, Column Cross Sectional Area, Least Radius of Gyration of Column & Distance from Neutral Axis to Extreme Point 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 Moment In Column?

In this formula, Maximum Bending Moment In Column uses Maximum Bending Stress, Column Cross Sectional Area, Least Radius of Gyration of Column & Distance from Neutral Axis to Extreme Point. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Bending Moment In Column = 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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