Bending stress for strut with axial and transverse point load at center 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%
✖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%

✖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 for strut with axial and transverse point load at center [σ_b]

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Bending stress for strut with axial and transverse point load at center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (M_b*c)/(A_sectional*(k^2)) --> (48*0.01)/(1.4*(0.0029277^2))

Evaluating ... ...

σ_b = 40000.0059800009

STEP 3: Convert Result to Output's Unit

40000.0059800009 Pascal -->0.0400000059800009 Megapascal (Check conversion here)

FINAL ANSWER

0.0400000059800009 ≈ 0.04 Megapascal <-- Bending Stress in Column

(Calculation completed in 00.020 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 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 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 stress for strut with axial and transverse point load at center?

Bending stress for strut with axial and transverse point load at center calculator uses Bending Stress in Column = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)) to calculate the Bending Stress in Column, Bending stress for strut with axial and transverse point load at center formula is defined as the maximum stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse point load at the center, which can cause bending and deformation of the strut. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending stress for strut with axial and transverse point load at center using this online calculator? To use this online calculator for Bending stress for strut with axial and transverse point load at center, enter Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration of Column (k) and hit the calculate button. Here is how the Bending stress for strut with axial and transverse point load at center calculation can be explained with given input values -> 1.6E-10 = (48*0.01)/(1.4*(0.0029277^2)).

FAQ

What is Bending stress for strut with axial and transverse point load at center?

Bending stress for strut with axial and transverse point load at center formula is defined as the maximum stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse point load at the center, which can cause bending and deformation of the strut and is represented as σ_b = (M_b*c)/(A_sectional*(k^2)) or Bending Stress in Column = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(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, 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.

How to calculate Bending stress for strut with axial and transverse point load at center?

Bending stress for strut with axial and transverse point load at center formula is defined as the maximum stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse point load at the center, which can cause bending and deformation of the strut is calculated using Bending Stress in Column = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)). To calculate Bending stress for strut with axial and transverse point load at center, you need Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & 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, Column Cross Sectional Area & 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.

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