Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center Calculator

✖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%
✖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%

✖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 given Bending Stress for Strut with Axial and Transverse Point Load at Center [M_b]

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Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Bending Stress in Column: 0.04 Megapascal --> 40000 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_b = σ_b*(A_sectional*(k^2))/(c) --> 40000*(1.4*(0.0029277^2))/(0.01)

Evaluating ... ...

M_b = 47.999992824

STEP 3: Convert Result to Output's Unit

47.999992824 Newton Meter --> No Conversion Required

FINAL ANSWER

47.999992824 ≈ 47.99999 Newton Meter <-- Bending Moment in Column

(Calculation completed in 00.029 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 » Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center

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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)

Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center 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 Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center?

Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center calculator uses Bending Moment in Column = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point) to calculate the Bending Moment in Column, The Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum amount of stress a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity assessment. Bending Moment in Column is denoted by M_b symbol.

How to calculate Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center using this online calculator? To use this online calculator for Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center, enter Bending Stress in Column (σ_b), 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 Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center calculation can be explained with given input values -> 12380.93 = 40000*(1.4*(0.0029277^2))/(0.01).

FAQ

What is Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center?

The Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum amount of stress a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity assessment and is represented as M_b = σ_b*(A_sectional*(k^2))/(c) or Bending Moment in Column = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to 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, 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 Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center?

The Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum amount of stress a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity assessment is calculated using Bending Moment in Column = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point). To calculate Bending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center, you need Bending Stress in Column (σ_b), 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 Bending Stress in Column, 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 Bending Moment in Column?

In this formula, Bending Moment in Column uses Bending Stress in Column, 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 -

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

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